Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Transcription

1 Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Kim Schnakenberg kschnakenberg@esu2.org Course Descriptions: Both Concept and Application Courses: Focus will be on the State Standards or Essential Learnings for 7 th grade students (attached) as well as preparation for taking Algebra in 8 th grade. Concepts: Applications: Instruction, practice, and testing over the State Standards (Essential Learnings). Reteaching, extension, and application opportunities over the Essential Learnings. Renaissance Math computer program will be utilized for remedial, grade level, and above grade level math practice. (AC Math). Extra time for math instruction. Grading: Concepts Class: Grades will be weighted as follows - Summative Assessments count for 80% of the student s academic grade. *Chapter Tests - Includes 2 to 3 essential learning scores per test - I marked the **Essential Learnings** on the attached syllabus *Cumulative Tests - Used to assess retention and/or relearning of prior units tested - Improved scores can be used to replace previous Essential Learning scores Formative Assessments count for 20% of the student s academic grade. *Daily homework (extremely important to complete for feedback) *Quizzes (2 per chapter) Applications Class: Grades will be weighted as follows *Completing required AC Math objectives will account for 50% (goal for objective mastery will be set each week) *Individual and/or team class work will account for 50%

2 Additional Information: *Late work will be accepted up until the cumulative test over the section it came from. Can only earn up to 80%. *Weekly assignments/schedule will be sent via through Powerschool each Monday. *Your students have an enormous amount of resources provided to them through math curriculum found at bigideasmath.com. Video tutorials, flash cards, games, practice quizzes, and practice tests are just to name a few. Have your student show you what exciting material is available! Please don t hesitate to or call if you have any questions or concerns. Looking forward to working with your student this school year! Helpful Definitions * Summative Assessments = Assessments OF Learning: Assessments used to determine how much students have learned at a particular point in time in order to report achievement status. * Formative Assessments = Assessments For Learning All activities done by teachers and their students that provide information to be used as feedback: - to adjust instruction to support additional learning - to guide and support student learning - to support the closing of gaps in learning

3 GRADE 7 ACCELERATED COURSE LEARNING ESSENTIALS (Preparation for Algebra in 8 th grade) SEMESTER 1 Big Ideas Math Accelerated Book Series **ESSENTIAL LEARNINGS Section Ch. 1 - ** DEMONSTRATE INTEGER NUMBER SENSE - Students will find and define absolute value Students will be able to compare and order integers Ch. 1 - ** PERFORM AND APPLY OPERATIONS WITH INTEGERS - Students will be able to add integers Students will be able to subtract integers Students will be able to multiply integers Students will be able to divide integers 1.5 Chapter 1 Test Ch. 2 - **REPRESENT AND SHOW RELATIONSHIPS AMONG RATIONAL NUMBERS - Students will be able to classify, convert, and order rational numbers 2.1 Ch. 2 - **PERFORM AND APPLY OPERATIONS WITH RATIONAL NUMBERS (Decimals and Fractions) - Students will add rational numbers (decimals & fractions) Students will subtract rational numbers (decimals & fractions) Students will multiply and divide rational numbers (dec. & fract.) 2.4 Chapter 2 Test Cumulative Test Reassessment over chapters 1 & 2 Ch. 3 - ** WRITE, SIMPLIFY, AND EVALUATE ALGEBRAIC EXPRESSIONS - Students will apply properties of operations to simplify algebraic 3.1 expressions - Students will apply properties of operations to add and subtract algebraic 3.2 expressions Ch. 3 - **SOLVE AND APPLY EQUATIONS WITH RATIONAL NUMBERS - Students will write and solve equations using addition or subtraction Students will write and solve equations using multiplication or division Students will write and solve two- step equations 3.5 Chapter 3 Test Ch. 4 - **SOLVE AND APPLY ONE-STEP INEQUALITIES with RATIONAL NUMBERS - Students will write and graph inequalities Students will write and solve inequalities using addition or subtraction Students will write and solve inequalities using multiplication or division 4.3 Ch. 4 - **SOLVE AND APPLY TWO-STEP INEQUALITIES with RATIONAL NUMBERS - Students will solve two- step inequalities 4.4 Chapter 4 Test Cumulative Test Reassessment over chapters 3 & 4 End of Quarter 1

4 Ch. 5 - **USE AND APPLY PROPORTIONAL REASONING - Students will find rates, ratios, and unit rates - Students will use equivalent ratios and cross products to determine if two ratios form a proportion Ch. 5 - **WRITE, SOLVE AND APPLY PROPORTIONS - Students will write proportions - Students will solve proportions using multiplication or Cross Products Property - Students will find and interpret the slopes of lines - Students will identify direct variation from graphs or equations Chapter 5 Test Ch. 6 - **SOLVE PERCENT PROBLEMS - Students will be able to write equivalent percents and decimals - Students will be able to compare and order fractions, decimals, and percents - Students will be able to use the percent proportion to find parts, wholes, and percents - Students will use the percent equation to find parts, wholes, and percents Ch. 6 - **APPLY PERCENT PROBLEMS TO REAL-LIFE - Students will find percent of increase and percent of decrease - Students will use percent of discounts and markups to find selling prices - Students will use the simple interest formula Chapter 6 Test Cumulative Test Reassessment over chapters 5 & 6 Ch. 7 - **CLASSIFY ANGLES AND POLYGONS - Students will identify adjacent and vertical angles - Students will find angle measures using adjacent and vertical angles - Students will find angle measures using complementary and supplementary angles - Students will construct triangles with given angles and sides - Students will be able to identify and classify quadrilaterals - Students will use scale drawings to find actual distances, perimeters and areas Chapter 7 Test Reassessment over chapter 7 (if needed) End of Semester 1 (Quarter 2) Semester 1 *Estimate and check the reasonableness of answers using appropriate strategies and tools throughout the entire semester. *Students will create displays that represent data (line plots, stem- n- leaf, box- n- whisker plots) throughout the entire semester.

5 GRADE 7 ACCELERATED COURSE LEARNING ESSENTIALS (Preparation for Algebra in 8 th grade) SEMESTER 2 Big Ideas Accelerated Math Series **ESSENTIAL LEARNINGS Ch. 8 - **FIND THE PERIMETER OF COMPOSITE SHAPES AND CIRCLES - Students will find the circumference of circles - Students will find the perimeters of composite figures Ch. 8 - **FIND THE AREA OF COMPOSITE SHAPES AND CIRLCES - Students will find the areas of circles and semicircles - Students will find the areas of composite figures Section Chapter 8 Test Ch. 9 - **FIND THE SURFACE AREA OF SOLIDS - Students will use nets to find the surface areas of prisms Students will find the surface areas of cylinders 9.3 Ch. 9 - **FIND THE VOLUME OF SOLIDS - Students will find the volume of prisms Students will find the volume of cylinders Students will find the volume of cones 15.2 Chapter 9/15 Test Cumulative Test Reassessment over chapters 8 & 9/15 Ch **INTERPRET AND APPLY PROBABILITY CONCEPTS - Students will identify and count the outcomes of experiments Students will find probabilities of events Students will use experimental and theoretical probability Students will compare experimental and theoretical probability - Students will find the probabilities of compound events Students will identify and find probabilities of independent and dependent 10.5 events Ch **DETERMINE IF DATA FROM A SAMPLE CAN BE USED TO MAKE Predictions - Students will determine when samples are representative of populations Use random samples to compare populations Use measures of center and variation to compare populations Chapter 10 Test Ch. 11- **USE TRANSFORMATIONS AND SYMMETRY TO ANALYZE GEOMETRIC Shapes - Students will identify congruent figures Students will be able to translate figures on the coordinate plane Students will be able to reflect figures on the coordinate plane Students will be able to rotate figures n the coordinate plane Students will be able to use more than one transformation to find images - Students will be able to identify similar figures Students will be able to find unknown measures of similar figures Chapter 11 Test Cumulative Test Reassessment over chapters 10 & 11 End of Quarter

6 Ch **DETERMINE ANGLE MEASURES Semester 2 - Students will find the measures of angles formed when parallel lines are cut by a transversal - Students will find the measures of interior and exterior angles of triangles - Students will find the measures of interior and exterior angles of polygons Ch **DETERMINE SIMILARITY OF POLYGONS - Students will identify similar triangles - Students will use indirect measurement to find missing measures Chapter 12 Test Ch **GRAPH LINEAR FUNCTIONS - Students will graph linear equations Students will find slopes of lines by using two points and from tables Students will write and graph proportional relationships Students will find slopes and y- intercepts of graphs of linear equations Students will graph equations in slope- intercept form Chapter 13 Test Cumulative Test Reassessment over chapters 12 & 13 Ch **FIND SQUARE ROOTS - Students will evaluate expressions involving square roots Students will use square roots to solve equations Ch **SOLVE PROBLEMS USING THE PYTHAGOREAN THEOREM - Students will use the Pythagorean Theorem to find the missing side lengths 14.3 of right triangles - Students will approximate square roots Students will define irrational numbers - Students will use the Pythagorean Theorem to find distances in a coordinate 14.5 plane Chapter 14 Test Ch **KNOW AND APPLY THE PROPERTIES OF INTEGER EXPONENTS - Students will write and evaluate expressions involving integer exponents Students will use the product of powers property Students will use the quotient of powers property Students will evaluate expressions involving negative integer exponents Students will evaluate expressions involving zero as an exponent Ch **PERFORM OPERATIONS WITH NUMBERS IN SCIENTIFIC NOTATION - Students identify and compare numbers in scientific notation Students will write large and small numbers in scientific notation Students will add, subtract, multiply, and divide numbers written in scientific 16.7 notation Chapter 16 Test Cumulative Test Reassessment over chapters 14 & 16 End of Semester 2 (Quarter 4) *Estimate and check the reasonableness of answers using appropriate strategies and tools throughout the entire semester

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