A Correlation of Pearson Texas Geometry Digital, 2015

Size: px
Start display at page:

Download "A Correlation of Pearson Texas Geometry Digital, 2015"

Transcription

1 A Correlation of Pearson Texas Geometry Digital, 2015 To the Texas Essential Knowledge and Skills (TEKS) for Geometry, High School, and the Texas English Language Proficiency Standards (ELPS)

2 Correlations to the Texas Essential Knowledge and Skills (TEKS): Student Material Subject Subchapter Course Publisher Program Title Program ISBN Chapter 111. Mathematics Subchapter C. High School Geometry, Adopted 2012 (One Credit). Pearson Education, Inc., publishing as Prentice Hall Pearson Texas Geometry, Digital (a) General requirements. Students shall be awarded one credit for successful completion of this course. Prerequisite: Algebra I. (b) Introduction. (1) The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century. (2) The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication. (3) In Geometry, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I to strengthen their mathematical reasoning skills in geometric contexts. Within the course, students will begin to focus on more precise terminology, symbolic representations, and the development of proofs. Students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability. Students will connect previous knowledge from Algebra I to Geometry through the coordinate and transformational geometry strand. In the logical arguments and constructions strand, students are expected to create formal constructions using a straight edge and compass. Though this course is primarily Euclidean geometry, students should complete the course with an understanding that non-euclidean geometries exist. In proof and congruence, students will use deductive reasoning to justify, prove and apply theorems about geometric figures. Throughout the standards, the term "prove" means a formal proof to be shown in a paragraph, a flow chart, or two-column formats. Proportionality is the unifying component of the similarity, proof, and trigonometry strand. Students will use their proportional reasoning skills to prove and apply theorems and solve problems in this strand. The two- and three-dimensional figure strand focuses on the application of formulas in multi-step situations since students have developed background knowledge in two- and three-dimensional figures. Using patterns to identify geometric properties, students will apply theorems about circles to determine relationships between special segments and angles in circles. Due to the emphasis of probability and statistics in the college and career readiness standards, standards dealing with probability have been added to the geometry curriculum to ensure students have proper exposure to these topics before pursuing their post-secondary education. (4) These standards are meant to provide clarity and specificity in regards to the content covered in the high school geometry course. These standards are not meant to limit the methodologies used to convey this knowledge to students. Though the standards are written in a particular order, they are not necessarily meant to be taught in the given order. In the standards, the phrase "to solve problems" includes both contextual and non-contextual problems unless specifically stated. (5) Statements that contain the word "including" reference content that must be mastered, while those containing the phrase "such as" are intended as possible illustrative examples. Page 1 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

3 (c) Knowledge and Skills. (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (A) apply mathematics to problems arising in everyday life, society, and the workplace (i) apply mathematics to problems arising in everyday life 236 Lesson5-8 Prob. 2 Assessment 208 Lesson 5-8 Prob. 2 Got It Assessment 212 Lesson 5-8 Ex Lesson 4-3 Prob. 2 Review 173 Lesson 4-5 Ex. 17 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (A) apply mathematics to problems arising in everyday life, society, and the workplace (ii) apply mathematics to problems arising in society 91 Lesson 3-1 Prob. 3 Review 92 Lesson 3-1 Ex. 14 Assessment 69 Lesson 3-1 Prob. 3 Got It Review 133 Lesson 3-8 Ex. 29 Review 444 Lesson 10-4 Ex. 21 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (A) apply mathematics to problems arising in everyday life, society, and the workplace (iii) apply mathematics to problems arising in the workplace 108 Lesson 3-4 Prob. 1 Review 150 Lesson 4-1 Ex Lesson 5-2 Prob. 4 Assessment 174 Lesson 5-2 Ex. 3 Review 434 Lesson 10-2 Ex. 19 Page 2 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

4 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (B) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution (i) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process Lesson 13-2 Prob. 5 Review 530 Lesson 13-2 Ex Lesson 15-4 Prob. 4 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (B) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution (ii) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the reasonableness of the solution Lesson 11-3 Prob. 4 Review 473 Lesson 11-3 Ex. 21 Assessment 483 Lesson 14-5 Ex. 6 Assessment 497 Lesson 14-6 Ex. 5 Assessment 515 Lesson 15-3 Ex. 6 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems (i) select tools, including real objects as appropriate, to solve problems 154 Lesson 4-2 Prob. 1 Review 156 Lesson 4-2 Ex. 2 Assessment 130 Lesson 4-2 Prob. 1 Got It Activity Lab 11-2 Act. Page 3 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

5 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems (ii) select tools, including manipulatives as appropriate, to solve problems 271 Lesson 6-4 Prob. 2 Review 274 Lesson 6-4 Ex. 24 Assessment 234 Lesson 6-4 Prob. 2 Got It (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems (iii) select tools, including paper and pencil as appropriate, to solve problems 339 Lesson 8-4 Prob. 1 Review 342 Lesson 8-4 Exs Lesson 3-6 Prob. 2 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems (iv) select tools, including technology as appropriate, to solve problems 250 Lesson 6-1 Prob. 1 Review 254 Lesson 6-1 Ex Lesson 9-5 Prob. 1 Page 4 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

6 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems (v) select techniques, including mental math as appropriate, to solve problems 523 Lesson 13-1 Prob. 4 Review 524 Lesson 13-1 Exs. 19, Lesson 10-1 Prob. 2 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems (vi) select techniques including estimation as appropriate, to solve problems 576 Lesson 14-3 Prob. 5 Review 578 Lesson 14-3 Ex. 16 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems (vii) select techniques, including number sense as appropriate, to solve problems 194 Lesson 5-1 Prob. 3 Review 197 Lesson 5-1 Ex. 33 Assessment 315 Lesson 8-8 Ex. 6 Page 5 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

7 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (i) communicate mathematical ideas using multiple representations, including symbols as appropriate 321 Lesson 8-1 Prob. 4 Assessment 271 Lesson 8-1 Prob. 4 Got It Review 369 Lesson 8-8 Ex Lesson 9-2 Prob. 1 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (ii) communicate mathematical ideas using multiple representations, including diagrams as appropriate 23 Lesson 1-4 Prob. 1 Review 59 Lesson 2-3 Ex Lesson 2-1 Prob. 2 Review 75 Lesson 2-6 Ex Lesson 3-9 Prob. 1 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (iii) communicate mathematical ideas using multiple representations, including graphs as appropriate 124 Lesson 3-7 Prob. 1 Review 127 Lesson 3-7 Ex Lesson 8-5 Prob. 4 Review 361 Lesson 8-7 Exs. 7 9 Assessment 295 Lesson 8-5 Prob. 4 Got It Page 6 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

8 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (iv) communicate mathematical ideas using multiple representations, including language as appropriate 135 Lesson 3-9 Prob. 1 Review 137 Lesson 3-9 Exs. 2 4, 5 Assessment 118 Lesson 3-9 Prob. 1 Got It 304 Lesson 7-2 Prob. 3 Review 306 Lesson 7-2 Exs (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (v) communicate mathematical reasoning using multiple representations, including symbols as appropriate 321 Lesson 8-1 Prob. 4 Assessment 271 Lesson 8-1 Prob. 4 Got It Review 369 Lesson 8-8 Ex Lesson 9-2 Prob. 1 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (vi) communicate mathematical reasoning using multiple representations, including diagrams as appropriate 216 Lesson 5-4 Prob. 3 Review 218 Lesson 5-4 Ex. 10 Assessment 185 Lesson 5-4 Prob. 3 Got It 304 Lesson 7-2 Prob. 3 Review 306 Lesson 7-2 Exs Page 7 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

9 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (vii) communicate mathematical reasoning using multiple representations, including graphs as appropriate 124 Lesson 3-7 Prob. 1 Review 127 Lesson 3-7 Ex Lesson 8-5 Prob. 4 Review 361 Lesson 8-7 Exs. 7 9 Assessment 295 Lesson 8-5 Prob. 4 Got It (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (viii) communicate mathematical reasoning using multiple representations, including language as appropriate 73 Lesson 2-6 Prob. 1 Review 75 Lesson 2-6 Ex. 7 Assessment 62 Lesson 2-6 Prob. 1 Got It 135 Lesson 3-9 Prob. 1 Review 137 Lesson 3-9 Exs. 2 4, 5 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (ix) communicate [mathematical ideas'] implications using multiple representations, including symbols as appropriate 321 Lesson 8-1 Prob. 4 Assessment 271 Lesson 8-1 Prob. 4 Got It Review 369 Lesson 8-8 Ex Lesson 9-2 Prob. 1 Page 8 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

10 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (x) communicate [mathematical ideas'] implications using multiple representations, including diagrams as appropriate 469 Lesson 11-3 Prob. 3 Review 473 Lesson 11-3 Ex Lesson 13-3 Prob. 3 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (xi) communicate [mathematical ideas'] implications using multiple representations, including graphs as appropriate 124 Lesson 3-7 Prob. 1 Review 127 Lesson 3-7 Ex Lesson 8-5 Prob. 4 Review 361 Lesson 8-7 Exs. 7 9 Assessment 295 Lesson 8-5 Prob. 4 Got It (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (xii) communicate [mathematical ideas'] implications using multiple representations, including language as appropriate 73 Lesson 2-6 Prob. 1 Review 75 Lesson 2-6 Ex. 7 Assessment 62 Lesson 2-6 Prob. 1 Got It 135 Lesson 3-9 Prob. 1 Review 137 Lesson 3-9 Exs. 2 4, 5 Page 9 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

11 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (xiii) communicate [mathematical reasoning's] implications using multiple representations, including symbols as appropriate 321 Lesson 8-1 Prob. 4 Assessment 271 Lesson 8-1 Prob. 4 Got It Review 369 Lesson 8-8 Ex Lesson 9-2 Prob. 1 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (xiv) communicate [mathematical reasoning's] implications using multiple representations, including diagrams as appropriate 469 Lesson 11-3 Prob. 3 Review 473 Lesson 11-3 Ex Lesson 13-3 Prob. 3 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (xv) communicate [mathematical reasoning's] implications using multiple representations, including graphs as appropriate 124 Lesson 3-7 Prob. 1 Review 127 Lesson 3-7 Ex Lesson 8-5 Prob. 4 Review 361 Lesson 8-7 Exs. 7 9 Assessment 295 Lesson 8-5 Prob. 4 Got It Page 10 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

12 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate (xvi) communicate [mathematical reasoning's] implications using multiple representations, including language as appropriate 73 Lesson 2-6 Prob. 1 Review 75 Lesson 2-6 Ex. 7 Assessment 62 Lesson 2-6 Prob. 1 Got It 135 Lesson 3-9 Prob. 1 Review 137 Lesson 3-9 Exs. 2 4, 5 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (E) create and use representations to organize, record, and communicate mathematical ideas (i) create representations to organize mathematical ideas 614 Lesson 15-1 Prob. 2 Review 640 Lesson 15-6 Exs Lesson 2-5 Prob. 3 Review 69 Lesson 2-5 Exs. 7 8 Assessment 57 Lesson 2-5 Prob. 3 Got It part a (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (E) create and use representations to organize, record, and communicate mathematical ideas (ii) create representations to record mathematical ideas 180 Lesson 4-7 Prob. 2 Review Lesson 4-7 Exs. 8 11, 13, 15, 16 Assessment 489 Lesson 14-6 Ex Lesson 15-1 Prob. 2 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (E) create and use representations to organize, record, and communicate mathematical ideas (iii) create representations to communicate mathematical ideas 231 Lesson 5-7 Prob. 4 Review 440 Lesson 10-3 Ex. 30a 561 Lesson 14-1 Prob. 4 Review 563 Lesson 14-1 Ex. 13 Page 11 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

13 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (E) create and use representations to organize, record, and communicate mathematical ideas (iv) use representations to organize mathematical ideas 394 Lesson 9-3 Prob. 2B Review 583 Lesson 14-4 Ex Lesson 14-4 Prob. 2 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (E) create and use representations to organize, record, and communicate mathematical ideas (v) use representations to record mathematical ideas Lesson 2-5 Prob. 3 Review 212 Lesson 5-3 Ex Lesson 6-5 Prob. 2 Review 404 Lesson 9-4 Ex. 22 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (E) create and use representations to organize, record, and communicate mathematical ideas (vi) use representations to communicate mathematical ideas 561 Lesson 14-1 Prob. 4 Review 563 Lesson 14-1 Exs Assessment 456 Lesson 14-1 Prob. 4 Got It 567 Lesson 14-2 Prob. 1 Review 570 Lesson 14-2 Ex. 19 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (F) analyze mathematical relationships to connect and communicate mathematical ideas (i) analyze mathematical relationships to connect mathematical ideas 540 Lesson 13-4 Prob. 1 Review 543 Lesson 13-4 Exs Assessment 440 Lesson 13-4 Prob. 1 Got It 427 Lesson 10-1 Prob. 6 Review 428 Lesson 10-1 Ex. 14 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (F) analyze mathematical relationships to connect and communicate mathematical ideas (ii) analyze mathematical relationships to communicate mathematical ideas 381 Lesson 9-1 Prob. 2 Page 12 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

14 Review Lesson 9-1 Exs. 15, 21 Assessment 318 Lesson 9-1 Prob. 2 Got It 599 Lesson 14-7 Prob. 2 Review 601 Lesson 14-7 Exs. 1 3 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication (i) display mathematical ideas using precise mathematical language in written or oral communication 52 Lesson 2-2 Prob. 4 Review 54 Lesson 2-2 Exs Assessment 39 Lesson 2-2 Prob. 4 Got It 581 Lesson 14-4 Prob. 4 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication (ii) display mathematical arguments using precise mathematical language in written or oral communication 489 Lesson 12-1 Prob. 4 Review 564 Lesson 14-1 Ex. 22 Assessment 399 Lesson 12-1 Prob. 4 Got It 74 Lesson 2-6 Prob. 5 Review 331 Lesson 8-2 Ex. 17 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication (iii) explain mathematical ideas using precise mathematical language in written or oral communication 221 Lesson 5-5 Prob. 2 Review 222 Lesson 5-5 Ex. 6 Assessment 190 Lesson 5-6 Prob. 2 Got It 103 Lesson 3-3 Prob. 3 Review 105 Lesson 3-3 Ex. 20 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication (iv) explain mathematical arguments using precise mathematical language in written or oral communication 231 Lesson 5-7 Prob. 5 Review 233 Lesson 5-7 Ex. 9 Page 13 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

15 Assessment 203 Lesson 5-7 Prob. 5 Got It 489 Lesson 12-1 Prob. 4 Review 491 Lesson 12-1 Ex. 14 (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication (v) justify mathematical ideas using precise mathematical language in written or oral communication 67 Lesson 2-5 Prob. 1 Review 151 Lesson 4-1 Exs Assessment 56 Lesson 2-5 Prob. 1 Got It 276 Lesson 6-5 Prob. 1 Assessment 240 Lesson 6-5 Prob. 1 Got It (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication (vi) justify mathematical arguments using precise mathematical language in written or oral communication 149 Lesson 4-1 Prob. 3 Review 172 Lesson 4-5 Ex. 5 Assessment 125 Lesson 6-5 Prob. 3 Got It 112 Lesson 3-5 Prob. 1 Review 114 Lesson 3-5 Ex. 1 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (A) determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and twodimensional coordinate systems, including finding the midpoint (i) determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in onedimensional coordinate systems, including finding the midpoint Lesson 1-2 Prob. 4 Lesson 1-2 Prob. 6 Review Lesson 1-2 Exs. 6, 13 15, Assessment 9 Lesson 1-2 Prob. 4 Got It, Prob. 6 Got It Page 14 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

16 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (A) determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and twodimensional coordinate systems, including finding the midpoint (ii) determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in two-dimensional coordinate systems, including finding the midpoint Lesson 5-1 Prob. 2 Lesson 5-1 Prob. 3 Review Lesson 5-1 Exs. 1 6, 7, 33, 36, 37 Assessment 166 Lesson 5-1 Prob. 2 Got It, Prob. 3 Got It (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines (i) derive the distance formula 194 Lesson 5-1 Prob. 4 Review 197 Lesson 5-1 Exs. 34, 35 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines (ii) use the distance formula to verify geometric relationships, including congruence of segments Lesson 7-1 Prob. 1 Lesson 7-3 Prob. 1 Review Lesson 7-1 Exs. 1 3, 7 10, 11 Lesson 7-3 Exs. 13, 15, 18, 20 Assessment 252 Lesson 7-1 Prob. 1 Got It Page 15 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

17 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines (iii) use the distance formula to verify geometric relationships, including parallelism or perpendicularity of pairs of lines Lesson 7-1 Prob. 3 Lesson 10-1 Prob. 6 Review Lesson 7-1 Ex. 4 Lesson 10-1 Ex. 14 Assessment Lesson 7-1 Prob. 3 Got It Lesson 10-1 Prob. 6 Got It (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines (iv) derive the slope formula 124 Lesson 3-7 Prob. 1 Review 127 Lesson 3-7 Ex. 16 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines (v) use the slope formula to verify geometric relationships, including parallelism or perpendicularity of pairs of lines Lesson 7-1 Prob. 2 Lesson 7-1 Prob. 4 Lesson 7-3 Prob. 2 Review Lesson 7-1 Exs Lesson 7-2 Ex. 7 Lesson 7-3 Exs. 17, 21 Assessment Lesson 7-1 Prob. 2 Got It Lesson 7-3 Prob. 2 Got It Page 16 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

18 Lesson 3-8 Prob. 1 Lesson 3-8 Prob. 3 Review 132 Lesson 3-8 Exs. 1, 2, 7, 8 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines (vi) derive the midpoint formula 193 Lesson 5-1 Prob. 1 Review 197 Lesson 5-1 Ex. 32 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines (vii) use the midpoint formula to verify geometric relationships Lesson 7-1 Prob. 3 Lesson 7-1 Prob. 4 Lesson 7-3 Prob. 1 Lesson 7-3 Prob. 2 Review Lesson 7-1 Exs. 5, 27, 30 Lesson 7-3 Exs. 14, 16, 23 Assessment 266 Lesson 7-3 Ex. 3 (2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to: (C) determine an equation of a line parallel or perpendicular to a given line that passes through a given point (i) determine an equation of a line parallel or perpendicular to a given line that passes through a given point Lesson 3-8 Prob. 2 Lesson 3-8 Prob. 4 Review Lesson 3-8 Exs. 3 6, 9 11, 12, Lesson 3-8 Prob. 2 Got It Assessment 113 Lesson 3-8 Prob. 4 Got It Page 17 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

19 (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (A) describe and perform transformations of figures in a plane using coordinate notation (i) describe transformations of figures in a plane using coordinate notation Lesson 8-1 Prob. 4 Lesson 8-2 Prob. 2 Lesson 8-3 Prob. 2 Lesson 8-7 Prob. 2 Lesson 8-7 Prob. 4A Review Lesson 8-1 Exs. 12, 17, 22, 23 Lesson 8-5 Exs. 1 6, Lesson 8-7 Exs. 7 9 Assessment Lesson 8-2 Exs. 3, Lesson 8-6 Prob. 3 Lesson 8-8 Prob. 2 Lesson 8-8 Prob. 5 Lesson 9-2 Prob. 2 Review Lesson 8-6 Exs. 1 3, 5 6 Lesson 8-8 4, 5, 11, 12, 14 Lesson 9-2 Exs. 4 6 (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (A) describe and perform transformations of figures in a plane using coordinate notation (ii) perform transformations of figures in a plane using coordinate notation Lesson 8-1 Prob. 3 Lesson 8-2 Prob. 2 Lesson 8-3 Prob. 2 Lesson 8-7 Prob. 2 Review Lesson 8-1 Exs. 15, 20, 21 Lesson 8-2 Exs. 1 6, Lesson 8-3 Exs. 1 3, 9, 17 Lesson 8-7 Exs. 7, 8, 13, 15, Lesson 8-7 Prob. 4B Lesson 8-8 Prob. 1 Lesson 8-8 Prob. 3 Lesson 9-2 Prob. 1 Review Lesson 8-8 Exs. 1 3, 6 7 Lesson 9-2 Exs. 1 3 Page 18 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

20 (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (B) determine the image or pre-image of a given twodimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane (i) determine the image or pre-image of a given twodimensional figure under a composition of rigid transformations including dilations where the center can be any point in the plane Lesson 8-5 Prob. 3, Lesson 8-5 Prob. 4 Lesson 8-7 Prob. 3 Review Lesson 8-5 Exs. 8 17, 22, 23 Lesson 8-7 Exs. 18, 32 Assessment 295 Lesson 8-5 Prob. 3 Got It, Prob. 4 Got It 345 Lesson 8-5 Prob Lesson 8-5 Prob. 2 Review 348 Lesson 8-5 Exs (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (B) determine the image or pre-image of a given twodimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane (ii) determine the image or pre-image of a given twodimensional figure under a composition of non-rigid transformations, including dilations where the center can be any point in the plane 366 Lesson 8-8 Prob. 3, Prob. 4 Review Lesson 8-8 Exs. 1 3, 6, 7, 8 10 Assessment 313 Lesson 8-8 Prob. 3 Got It Page 19 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

21 (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (B) determine the image or pre-image of a given twodimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane (iii) determine the image or pre-image of a given twodimensional figure under a composition of both, including dilations where the center can be any point in the plane Lesson 8-7 Prob. 5 Lesson 9-2 Prob. 1 Review Lesson 8-7 Exs , 20 Lesson 9-2 Exs. 1 3 Assessment Lesson 8-7 Prob. 5 Got It Lesson 9-2 Prob. 1 Got It (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (C) identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane (i) identify the sequence of transformations that will carry a given pre-image onto an image on the coordinate plane Lesson 8-6 Prob. 3 Review Lesson 8-6 Exs. 5, 6, 10 Assessment 301 Lesson 8-6 Prob. 3 Got It 387 Lesson 9-2 Prob. 2 Review 389 Lesson 9-2 Exs. 4 6 (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (C) identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane (ii) identify the sequence of transformations that will carry a given pre-image onto an image off the coordinate plane Lesson 8-2 Prob. 3 Lesson 8-3 Prob. 4 Lesson 9-2 Prob. 4 Review Lesson 8-2 Ex. 7 Lesson 8-3 Exs. 15, 21, 22 Lesson 9-2 Exs. 7 9 Page 20 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

22 Assessment Lesson 8-2 Prob. 3 Got It Lesson 8-3 Prob. 4 Got It Lesson 9-2 Prob. 4 Got It (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (D) identify and distinguish between reflectional and rotational symmetry in a plane figure (i) identify reflectional symmetry in a plane figure 339 Lesson 8-4 Prob. 1 Assessment 288 Lesson 8-4 Prob. 1 Got It Review Lesson 8-4 Exs. 1, 14 18, 22 24, 36, Lesson 8-4 Prob. 3 (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (D) identify and distinguish between reflectional and rotational symmetry in a plane figure (ii) identify rotational symmetry in a plane figure 339 Lesson 8-4 Prob. 2 Review Lesson 8-4 Exs. 1, 19, Assessment 289 Lesson 8-4 Prob. 2 Got It 340 Lesson 8-4 Prob. 3 (3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). (D) identify and distinguish between reflectional and rotational symmetry in a plane figure (iii) distinguish between reflectional and rotational symmetry in a plane figure 340 Lesson 8-4 Prob. 3 Review Lesson 8-4 Exs. 2 13, 20, 21, 28 31, Assessment 289 Lesson 8-4 Prob. 3 Got It Page 21 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

23 (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (A) distinguish between undefined terms, definitions, postulates, conjectures, and theorems (i) distinguish between undefined terms, definitions, postulates, conjectures, and theorems 74 Lesson 2-6 Prob. 4 Review 77 Lesson 2-6 Ex Assessment 63 Lesson 2-6 Prob. 4 Got It 6 Lesson 1-1 Prob. 3 Assessment 3 Lesson 1-1 Prob. 3 Got It (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse (i) identify the validity of the converse of a conditional statement 52 Lesson 2-2 Prob. 4 Review Lesson 2-2 Exs Assessment 39 Lesson 2-2 Prob. 4 Got It (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse (ii) identify the validity of the inverse of a conditional statement 52 Lesson 2-2 Prob. 4 Review 54 Lesson 2-2 Exs Assessment 39 Lesson 2-2 Prob. 4 Got It Page 22 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

24 (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse (iii) identify the validity of the contrapositive of a conditional statement 52 Lesson 2-2 Prob. 4 Review 54 Lesson 2-2 Exs Assessment 39 Lesson 2-2 Prob. 4 Got It (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse (iv) determine the validity of the converse of a conditional statement 52 Lesson 2-2 Prob. 4 Review Lesson 2-2 Exs Assessment 39 Lesson 2-2 Prob. 4 Got It (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse (v) determine the validity of the inverse of a conditional statement 52 Lesson 2-2 Prob. 4 Review 54 Lesson 2-2 Exs Assessment 39 Lesson 2-2 Prob. 4 Got It Page 23 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

25 (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse (vi) determine the validity of the contrapositive of a conditional statement 52 Lesson 2-2 Prob. 4 Review 54 Lesson 2-2 Exs Assessment 39 Lesson 2-2 Prob. 4 Got It (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse (vii) recognize the connection between a biconditional statement and a true conditional statement with a true converse 56 Lesson 2-3 Prob. 1, Prob. 2, Prob. 3 Review 45 Lesson 2-3 Exs. 1 4, 8 Assessment Lesson 2-3 Prob. 1 Got It, Prob. 2 Got It Lesson 2-3 Prob. 3 Got It (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (C) verify that a conjecture is false using a counterexample (i) verify that a conjecture is false using a counterexample 46 Lesson 2-1 Prob. 5 Review 47 Lesson 2-1 Exs Assessment 33 Lesson 2-1 Prob. 5 Got It Page 24 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

26 (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (D) compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle (i) compare geometric relationships between Euclidean and spherical geometries, including parallel lines 135 Lesson 3-9 Prob. 1 Review 138 Lesson 3-9 Exs. 6, 8, 10 Assessment 118 Lesson 3-9 Prob. 1 Got It 137 Lesson 3-9 Prob. 4 Review Lesson 3-9 Exs. 2, 9 (4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. (D) compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle (ii) compare geometric relationships between Euclidean and spherical geometries, including the sum of the angles in a triangle 136 Lesson 3-9 Prob. 2, Prob. 3 Review Lesson 3-9 Exs. 1, 3, 4, 5, 15 Lesson 3-9 Prob. 2 Got It 118 Assessment Lesson 3-9 Prob. 3 Got it 119 (5) Logical argument and constructions. The student uses constructions to validate conjectures about geometric figures. (A) investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools (i) investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal 95 Lesson 3-2 Prob. 1 Review 100 Lesson 3-2 Ex. 20 Assessment 74 Lesson 3-2 Prob. 1 Got It Page 25 of 228 Pearson Education, Inc., publishing as Prentice Hall: Student Material

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for GEOM 1B.

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for GEOM 1B. GEOM 1B Geometry I, Second Semester #PR-109, BK-1030 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for GEOM 1B.

More information

Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9 Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

More information

Curriculum Map by Block Geometry Mapping for Math Block Testing 2007-2008. August 20 to August 24 Review concepts from previous grades.

Curriculum Map by Block Geometry Mapping for Math Block Testing 2007-2008. August 20 to August 24 Review concepts from previous grades. Curriculum Map by Geometry Mapping for Math Testing 2007-2008 Pre- s 1 August 20 to August 24 Review concepts from previous grades. August 27 to September 28 (Assessment to be completed by September 28)

More information

Geometry Course Summary Department: Math. Semester 1

Geometry Course Summary Department: Math. Semester 1 Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give

More information

Week 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test

Week 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test Thinkwell s Homeschool Geometry Course Lesson Plan: 34 weeks Welcome to Thinkwell s Homeschool Geometry! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson plan

More information

Geometry Enduring Understandings Students will understand 1. that all circles are similar.

Geometry Enduring Understandings Students will understand 1. that all circles are similar. High School - Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,

More information

Prentice Hall Algebra 2 2011 Correlated to: Colorado P-12 Academic Standards for High School Mathematics, Adopted 12/2009

Prentice Hall Algebra 2 2011 Correlated to: Colorado P-12 Academic Standards for High School Mathematics, Adopted 12/2009 Content Area: Mathematics Grade Level Expectations: High School Standard: Number Sense, Properties, and Operations Understand the structure and properties of our number system. At their most basic level

More information

GEOMETRY CONCEPT MAP. Suggested Sequence:

GEOMETRY CONCEPT MAP. Suggested Sequence: CONCEPT MAP GEOMETRY August 2011 Suggested Sequence: 1. Tools of Geometry 2. Reasoning and Proof 3. Parallel and Perpendicular Lines 4. Congruent Triangles 5. Relationships Within Triangles 6. Polygons

More information

Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter B. Middle School

Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter B. Middle School Middle School 111.B. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter B. Middle School Statutory Authority: The provisions of this Subchapter B issued under the Texas Education

More information

Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)

Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate) New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct

More information

Number Sense and Operations

Number Sense and Operations Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

More information

Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter A. Elementary

Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter A. Elementary Elementary 111.A. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter A. Elementary Statutory Authority: The provisions of this Subchapter A issued under the Texas Education Code,

More information

Pre-Calculus Semester 1 Course Syllabus

Pre-Calculus Semester 1 Course Syllabus Pre-Calculus Semester 1 Course Syllabus The Plano ISD eschool Mission is to create a borderless classroom based on a positive student-teacher relationship that fosters independent, innovative critical

More information

Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

More information

NEW MEXICO Grade 6 MATHEMATICS STANDARDS

NEW MEXICO Grade 6 MATHEMATICS STANDARDS PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

More information

College Prep. Geometry Course Syllabus

College Prep. Geometry Course Syllabus College Prep. Geometry Course Syllabus Mr. Chris Noll Turner Ashby High School - Room 211 Email: cnoll@rockingham.k12.va.us Website: http://blogs.rockingham.k12.va.us/cnoll/ School Phone: 828-2008 Text:

More information

Mathematics Georgia Performance Standards

Mathematics Georgia Performance Standards Mathematics Georgia Performance Standards K-12 Mathematics Introduction The Georgia Mathematics Curriculum focuses on actively engaging the students in the development of mathematical understanding by

More information

Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

More information

North Carolina Math 2

North Carolina Math 2 Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4.

More information

Prentice Hall Connected Mathematics 2, 7th Grade Units 2009

Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Grade 7 C O R R E L A T E D T O from March 2009 Grade 7 Problem Solving Build new mathematical knowledge through problem solving. Solve problems

More information

KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007

KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007 KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 4-47) Surveys and

More information

New York State Student Learning Objective: Regents Geometry

New York State Student Learning Objective: Regents Geometry New York State Student Learning Objective: Regents Geometry All SLOs MUST include the following basic components: Population These are the students assigned to the course section(s) in this SLO all students

More information

Geometry. Higher Mathematics Courses 69. Geometry

Geometry. Higher Mathematics Courses 69. Geometry The fundamental purpose of the course is to formalize and extend students geometric experiences from the middle grades. This course includes standards from the conceptual categories of and Statistics and

More information

096 Professional Readiness Examination (Mathematics)

096 Professional Readiness Examination (Mathematics) 096 Professional Readiness Examination (Mathematics) Effective after October 1, 2013 MI-SG-FLD096M-02 TABLE OF CONTENTS PART 1: General Information About the MTTC Program and Test Preparation OVERVIEW

More information

DELAWARE MATHEMATICS CONTENT STANDARDS GRADES 9-10. PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s))

DELAWARE MATHEMATICS CONTENT STANDARDS GRADES 9-10. PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) Prentice Hall University of Chicago School Mathematics Project: Advanced Algebra 2002 Delaware Mathematics Content Standards (Grades 9-10) STANDARD #1 Students will develop their ability to SOLVE PROBLEMS

More information

GEOMETRY COMMON CORE STANDARDS

GEOMETRY COMMON CORE STANDARDS 1st Nine Weeks Experiment with transformations in the plane G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,

More information

alternate interior angles

alternate interior angles alternate interior angles two non-adjacent angles that lie on the opposite sides of a transversal between two lines that the transversal intersects (a description of the location of the angles); alternate

More information

Algebra 1 2008. Academic Content Standards Grade Eight and Grade Nine Ohio. Grade Eight. Number, Number Sense and Operations Standard

Algebra 1 2008. Academic Content Standards Grade Eight and Grade Nine Ohio. Grade Eight. Number, Number Sense and Operations Standard Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

More information

Indiana State Core Curriculum Standards updated 2009 Algebra I

Indiana State Core Curriculum Standards updated 2009 Algebra I Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and

More information

Basic Understandings

Basic Understandings Activity: TEKS: Exploring Transformations Basic understandings. (5) Tools for geometric thinking. Techniques for working with spatial figures and their properties are essential to understanding underlying

More information

Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

More information

Geometry: Unit 1 Vocabulary TERM DEFINITION GEOMETRIC FIGURE. Cannot be defined by using other figures.

Geometry: Unit 1 Vocabulary TERM DEFINITION GEOMETRIC FIGURE. Cannot be defined by using other figures. Geometry: Unit 1 Vocabulary 1.1 Undefined terms Cannot be defined by using other figures. Point A specific location. It has no dimension and is represented by a dot. Line Plane A connected straight path.

More information

Big Ideas in Mathematics

Big Ideas in Mathematics Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

More information

Support Materials for Core Content for Assessment. Mathematics

Support Materials for Core Content for Assessment. Mathematics Support Materials for Core Content for Assessment Version 4.1 Mathematics August 2007 Kentucky Department of Education Introduction to Depth of Knowledge (DOK) - Based on Norman Webb s Model (Karin Hess,

More information

Standards for Mathematical Practice: Commentary and Elaborations for 6 8

Standards for Mathematical Practice: Commentary and Elaborations for 6 8 Standards for Mathematical Practice: Commentary and Elaborations for 6 8 c Illustrative Mathematics 6 May 2014 Suggested citation: Illustrative Mathematics. (2014, May 6). Standards for Mathematical Practice:

More information

For example, estimate the population of the United States as 3 times 10⁸ and the

For example, estimate the population of the United States as 3 times 10⁸ and the CCSS: Mathematics The Number System CCSS: Grade 8 8.NS.A. Know that there are numbers that are not rational, and approximate them by rational numbers. 8.NS.A.1. Understand informally that every number

More information

Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

More information

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document

More information

with functions, expressions and equations which follow in units 3 and 4.

with functions, expressions and equations which follow in units 3 and 4. Grade 8 Overview View unit yearlong overview here The unit design was created in line with the areas of focus for grade 8 Mathematics as identified by the Common Core State Standards and the PARCC Model

More information

Common Core State Standards for Mathematics Accelerated 7th Grade

Common Core State Standards for Mathematics Accelerated 7th Grade A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting

More information

Florida Geometry EOC Assessment Study Guide

Florida Geometry EOC Assessment Study Guide Florida Geometry EOC Assessment Study Guide The Florida Geometry End of Course Assessment is computer-based. During testing students will have access to the Algebra I/Geometry EOC Assessments Reference

More information

2, 3 1, 3 3, 2 3, 2. 3 Exploring Geometry Construction: Copy &: Bisect Segments & Angles Measure & Classify Angles, Describe Angle Pair Relationship

2, 3 1, 3 3, 2 3, 2. 3 Exploring Geometry Construction: Copy &: Bisect Segments & Angles Measure & Classify Angles, Describe Angle Pair Relationship Geometry Honors Semester McDougal 014-015 Day Concepts Lesson Benchmark(s) Complexity Level 1 Identify Points, Lines, & Planes 1-1 MAFS.91.G-CO.1.1 1 Use Segments & Congruence, Use Midpoint & 1-/1- MAFS.91.G-CO.1.1,

More information

Performance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will

Performance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will Performance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will discover and prove the relationship between the triangles

More information

Ministry of Education. The Ontario Curriculum. Mathematics. Mathematics Transfer Course, Grade 9, Applied to Academic

Ministry of Education. The Ontario Curriculum. Mathematics. Mathematics Transfer Course, Grade 9, Applied to Academic Ministry of Education The Ontario Curriculum Mathematics Mathematics Transfer Course, Grade 9, Applied to Academic 2 0 0 6 Contents Introduction....................................................... 2

More information

WORK SCHEDULE: MATHEMATICS 2007

WORK SCHEDULE: MATHEMATICS 2007 , K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

More information

In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

More information

Georgia Standards of Excellence 2015-2016 Mathematics

Georgia Standards of Excellence 2015-2016 Mathematics Georgia Standards of Excellence 2015-2016 Mathematics Standards GSE Coordinate Algebra K-12 Mathematics Introduction Georgia Mathematics focuses on actively engaging the student in the development of mathematical

More information

Assessment Anchors and Eligible Content

Assessment Anchors and Eligible Content M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

More information

CAMI Education linked to CAPS: Mathematics

CAMI Education linked to CAPS: Mathematics - 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

More information

Discovering Math: Exploring Geometry Teacher s Guide

Discovering Math: Exploring Geometry Teacher s Guide Teacher s Guide Grade Level: 6 8 Curriculum Focus: Mathematics Lesson Duration: Three class periods Program Description Discovering Math: Exploring Geometry From methods of geometric construction and threedimensional

More information

HIGH SCHOOL: GEOMETRY (Page 1 of 4)

HIGH SCHOOL: GEOMETRY (Page 1 of 4) HIGH SCHOOL: GEOMETRY (Page 1 of 4) Geometry is a complete college preparatory course of plane and solid geometry. It is recommended that there be a strand of algebra review woven throughout the course

More information

Vocabulary. Term Page Definition Clarifying Example. biconditional statement. conclusion. conditional statement. conjecture.

Vocabulary. Term Page Definition Clarifying Example. biconditional statement. conclusion. conditional statement. conjecture. CHAPTER Vocabulary The table contains important vocabulary terms from Chapter. As you work through the chapter, fill in the page number, definition, and a clarifying example. biconditional statement conclusion

More information

MATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS

MATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS * Students who scored a Level 3 or above on the Florida Assessment Test Math Florida Standards (FSA-MAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices

More information

Algebra I Credit Recovery

Algebra I Credit Recovery Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

More information

Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills

Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate

More information

GEOMETRY. Constructions OBJECTIVE #: G.CO.12

GEOMETRY. Constructions OBJECTIVE #: G.CO.12 GEOMETRY Constructions OBJECTIVE #: G.CO.12 OBJECTIVE Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic

More information

10 th Grade Math Special Education Course of Study

10 th Grade Math Special Education Course of Study 10 th Grade Math Special Education Course of Study Findlay City Schools 2006 Table of Contents 1. Findlay City Schools Mission Statement 2. 10 th Grade Math Curriculum Map 3. 10 th Grade Math Indicators

More information

Mathematics Geometry Unit 1 (SAMPLE)

Mathematics Geometry Unit 1 (SAMPLE) Review the Geometry sample year-long scope and sequence associated with this unit plan. Mathematics Possible time frame: Unit 1: Introduction to Geometric Concepts, Construction, and Proof 14 days This

More information

Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6) PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

More information

1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above?

1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above? 1. A student followed the given steps below to complete a construction. Step 1: Place the compass on one endpoint of the line segment. Step 2: Extend the compass from the chosen endpoint so that the width

More information

Performance Level Descriptors Grade 6 Mathematics

Performance Level Descriptors Grade 6 Mathematics Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.1-2 Grade 6 Math : Sub-Claim A The student solves problems involving the Major Content for grade/course with

More information

TExMaT I Texas Examinations for Master Teachers. Preparation Manual. 087 Master Mathematics Teacher EC 4

TExMaT I Texas Examinations for Master Teachers. Preparation Manual. 087 Master Mathematics Teacher EC 4 TExMaT I Texas Examinations for Master Teachers Preparation Manual 087 Master Mathematics Teacher EC 4 Copyright 2006 by the Texas Education Agency (TEA). All rights reserved. The Texas Education Agency

More information

MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

More information

Academic Standards for Mathematics

Academic Standards for Mathematics Academic Standards for Grades Pre K High School Pennsylvania Department of Education INTRODUCTION The Pennsylvania Core Standards in in grades PreK 5 lay a solid foundation in whole numbers, addition,

More information

COURSE SYLLABUS -----------------------------------------------------------------------------------

COURSE SYLLABUS ----------------------------------------------------------------------------------- Last Reviewed by: Leslie Wurst Date Approved: Date Revised: Fall 2012 COURSE SYLLABUS Syllabus for: MATH 1010 Math for General Studies Former Course and Title: Former Quarter Course(s): Mat 1260 Contemporary

More information

Geometry Unit 1 Geometric Transformations Lesson Plan (10 days)

Geometry Unit 1 Geometric Transformations Lesson Plan (10 days) Geometry Unit 1 Geometric Transformations Lesson Plan (10 days) Stage 1 Desired Results Learning Goal: Students will be able to draw, describe, specify the sequence, develop definitions, and predict the

More information

PCHS ALGEBRA PLACEMENT TEST

PCHS ALGEBRA PLACEMENT TEST MATHEMATICS Students must pass all math courses with a C or better to advance to the next math level. Only classes passed with a C or better will count towards meeting college entrance requirements. If

More information

LAKE ELSINORE UNIFIED SCHOOL DISTRICT

LAKE ELSINORE UNIFIED SCHOOL DISTRICT LAKE ELSINORE UNIFIED SCHOOL DISTRICT Title: PLATO Algebra 1-Semester 2 Grade Level: 10-12 Department: Mathematics Credit: 5 Prerequisite: Letter grade of F and/or N/C in Algebra 1, Semester 2 Course Description:

More information

BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1 Grade 4 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Add and subtract within 1,000,000 Module M1:

More information

PUBLIC SCHOOLS OF EDISON TOWNSHIP OFFICE OF CURRICULUM AND INSTRUCTION GEOMETRY HONORS. Middle School and High School

PUBLIC SCHOOLS OF EDISON TOWNSHIP OFFICE OF CURRICULUM AND INSTRUCTION GEOMETRY HONORS. Middle School and High School PUBLIC SCHOOLS OF EDISON TOWNSHIP OFFICE OF CURRICULUM AND INSTRUCTION GEOMETRY HONORS Length of Course: Elective/Required: Schools: Term Required Middle School and High School Eligibility: Grades 8-12

More information

Everyday Mathematics. Grade 4 Grade-Level Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goal

Everyday Mathematics. Grade 4 Grade-Level Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goal Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

More information

AMSCO S Ann Xavier Gantert

AMSCO S Ann Xavier Gantert AMSCO S Integrated ALGEBRA 1 Ann Xavier Gantert AMSCO SCHOOL PUBLICATIONS, INC. 315 HUDSON STREET, NEW YORK, N.Y. 10013 Dedication This book is dedicated to Edward Keenan who left a profound influence

More information

LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines, Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

More information

Problem of the Month: William s Polygons

Problem of the Month: William s Polygons Problem of the Month: William s Polygons The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common

More information

Lesson 18: Looking More Carefully at Parallel Lines

Lesson 18: Looking More Carefully at Parallel Lines Student Outcomes Students learn to construct a line parallel to a given line through a point not on that line using a rotation by 180. They learn how to prove the alternate interior angles theorem using

More information

Grade 5 Math Content 1

Grade 5 Math Content 1 Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.

More information

Situation: Proving Quadrilaterals in the Coordinate Plane

Situation: Proving Quadrilaterals in the Coordinate Plane Situation: Proving Quadrilaterals in the Coordinate Plane 1 Prepared at the University of Georgia EMAT 6500 Date Last Revised: 07/31/013 Michael Ferra Prompt A teacher in a high school Coordinate Algebra

More information

1. Mathematics Content/Alignment with the Standards Correlation to California Algebra Readiness Standards

1. Mathematics Content/Alignment with the Standards Correlation to California Algebra Readiness Standards PROGRAM DESCRIPTION The goal of Prentice Hall Connecting to Algebra is to fully prepare students for success in Algebra 1 by thoroughly covering the Algebra Readiness standards outlined by the California

More information

NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5 NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students

More information

Trigonometric Functions and Equations

Trigonometric Functions and Equations Contents Trigonometric Functions and Equations Lesson 1 Reasoning with Trigonometric Functions Investigations 1 Proving Trigonometric Identities... 271 2 Sum and Difference Identities... 276 3 Extending

More information

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

More information

McDougal Littell California:

McDougal Littell California: McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California Pre-Algebra Components: Pupil Edition (PE), Teacher s Edition (TE),

More information

Algebra I. In this technological age, mathematics is more important than ever. When students

Algebra I. In this technological age, mathematics is more important than ever. When students In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,

More information

Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

More information

The program also provides supplemental modules on topics in geometry and probability and statistics.

The program also provides supplemental modules on topics in geometry and probability and statistics. Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students

More information

Integer Operations. Overview. Grade 7 Mathematics, Quarter 1, Unit 1.1. Number of Instructional Days: 15 (1 day = 45 minutes) Essential Questions

Integer Operations. Overview. Grade 7 Mathematics, Quarter 1, Unit 1.1. Number of Instructional Days: 15 (1 day = 45 minutes) Essential Questions Grade 7 Mathematics, Quarter 1, Unit 1.1 Integer Operations Overview Number of Instructional Days: 15 (1 day = 45 minutes) Content to Be Learned Describe situations in which opposites combine to make zero.

More information

Everyday Mathematics. Grade 4 Grade-Level Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goals

Everyday Mathematics. Grade 4 Grade-Level Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goals Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

More information

Problem of the Month: Perfect Pair

Problem of the Month: Perfect Pair Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:

More information

TExMaT I Texas Examinations for Master Teachers. Preparation Manual. 088 Master Mathematics Teacher 4 8

TExMaT I Texas Examinations for Master Teachers. Preparation Manual. 088 Master Mathematics Teacher 4 8 TExMaT I Texas Examinations for Master Teachers Preparation Manual 088 Master Mathematics Teacher 4 8 Copyright 2006 by the Texas Education Agency (TEA). All rights reserved. The Texas Education Agency

More information

Questions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number?

Questions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number? Content Skills Essential August/September Number Theory Identify factors List multiples of whole numbers Classify prime and composite numbers Analyze the rules of divisibility What is meant by a number

More information

ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

More information

Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

More information

Grades K-6. Correlated to the Common Core State Standards

Grades K-6. Correlated to the Common Core State Standards Grades K-6 Correlated to the Common Core State Standards Kindergarten Standards for Mathematical Practice Common Core State Standards Standards for Mathematical Practice Kindergarten The Standards for

More information

Final Review Geometry A Fall Semester

Final Review Geometry A Fall Semester Final Review Geometry Fall Semester Multiple Response Identify one or more choices that best complete the statement or answer the question. 1. Which graph shows a triangle and its reflection image over

More information

Geometry 1. Unit 3: Perpendicular and Parallel Lines

Geometry 1. Unit 3: Perpendicular and Parallel Lines Geometry 1 Unit 3: Perpendicular and Parallel Lines Geometry 1 Unit 3 3.1 Lines and Angles Lines and Angles Parallel Lines Parallel lines are lines that are coplanar and do not intersect. Some examples

More information

The Use of Dynamic Geometry Software in the Teaching and Learning of Geometry through Transformations

The Use of Dynamic Geometry Software in the Teaching and Learning of Geometry through Transformations The Use of Dynamic Geometry Software in the Teaching and Learning of Geometry through Transformations Dynamic geometry technology should be used to maximize student learning in geometry. Such technology

More information

Prentice Hall Mathematics, Algebra 1 2009

Prentice Hall Mathematics, Algebra 1 2009 Prentice Hall Mathematics, Algebra 1 2009 Grades 9-12 C O R R E L A T E D T O Grades 9-12 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension

More information

Minnesota Academic Standards

Minnesota Academic Standards A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley

More information

Functional Math II. Information CourseTitle. Types of Instruction

Functional Math II. Information CourseTitle. Types of Instruction Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade

More information

Triangle Congruence and Similarity A Common-Core-Compatible Approach

Triangle Congruence and Similarity A Common-Core-Compatible Approach Triangle Congruence and Similarity A Common-Core-Compatible Approach The Common Core State Standards for Mathematics (CCSSM) include a fundamental change in the geometry program in grades 8 to 10: geometric

More information