The authors wish to thank Mr. Bob Fine and especially all of our former students in Azusa, Inglewood, Los Angeles, and Santa Monica, California.


 William Watson
 2 years ago
 Views:
Transcription
1
2 The authors... Janis Marcy and Steve Marcy San ta Monica Malibu Unified School District Limited Reproduction Permission: Permission to duplicate these materials is limited to the teacher for whom they are purchased. Reproduction for an entire school or school district is unlawful and strictly prohibited. The authors wish to thank Mr. Bob Fine and especially all of our former students in Azusa, Inglewood, Los Angeles, and Santa Monica, California. The illustrations on pages 6, 39, 60, 90, 100, 105, 201, and 21 3 are reprinted with permission of PriceISternlSloan Publishers, from the book DROODLES, and DROODLES #2, The illustration on page 134 is reprinted with permission of PriceISternlSloan Publishers, from the book THE COMPLEAT DROODLES, O Cover by Nimbus Design O 1978, 1996, 2002 Wright GroupIMcGrawHill One Prudential Plaza Chicago, IL Printed in the United States of America ISBN: MAL PREALGEBRA WITH PIZZAZZ! i i Q Creative Publications
3 A MESSAGE FROM THE AUTHORS PreAlgebra With Pizzazz! is a series of enrichment books designed to provide practice with skills and concepts taught in prealgebra classes. The authors believe that mastery of math skills and concepts requires good teaching and also a great deal of practice. Our goal is to provide puzzle activities that make this practice more effective. We have tried to build into these activities certain characteristics that increase the effectiveness of practice: 1. Motivating Goal for the Student. Each puzzle has a goal that is motivating to students. Students work problems in order to discover the punch line of a joke or riddle, decode a humorous poem or oneliner, create an interesting picture, etc. Thus, the solution is a builtin reward to the student when he or she completes the puzzle. In addition, the variety and novelty of procedures for solving puzzles help capture and maintain student interest. 2. Knowledge of Results. Various devices are used in the puzzles to tell students whether or not their answers are correct. In most of the puzzles, feedback occurs immediately after the student works each exercise. For example, if a particular answer is not in the code or scrambled answer list, the student knows it is incorrect. The student can then try again or ask for help. Additional feedback occurs when the student achieves a puzzle solution that is appropriate. We have found that students greatly appreciate and benefit from this immediate knowledge of results. 3. Focus on a Single, Clear Objective. Though review puzzles are included which involve multiple objectives, most of the puzzles focus on single objectives. The skills and concepts required for each puzzle are limited so that students with different levels of ability, though possibly requiring differing amounts of preliminary instruction, can experience success. In some puzzles, the exercises are sequenced so that students can discover a pattern, generalization, or method for solving a different type of exercise. Our goal is for all students to feel successful when doing mathematics. In addition to these efforts to make the puzzles highly effective, we have tried to make PreAlgebra With Pizzazz! easy to use. Two lists of objectivesa summary list and a complete listand the specific puzzles that provide practice for each objective are given on pages vxix. The major objectives of most prealgebra textbooks are included within this series. We have tried to arrange the puzzles on a given topic so that each puzzle builds on skills and concepts previously covered. Nearly all PreAlgebra With Pizzazz! puzzles require only one page. Finally, because the puzzles are selfcorrecting, they help eliminate the task of correcting assignments. We hope you,enjoy using PreAlgebra With Pizzazz! as much as we enjoyed writing it. Steve and Janis Marcy PREALGEBRA WITH PIZZAZZ! 8 Creative Publications i i i
4 Suggestions for Using PreAlgebra With Pizzazz! PreAlgebra With Pizzazz! puzzles can serve a variety of purposes. They are suitable for classwork or homework practice following introduction of a new skill or concept. They are ideal for an individualized program, as students can work independently on puzzles selected to meet their specific needs. Finally, the'puzzles can be a valuable addition to a math lab. 1. Reproduction. PreAlgebra With Pizzazz! pages may be removed from the binder and used as blackline masters. The pages are especia,lly accessible and easy to use. 2. Directions. Directions for each puzzle are simple and concise. Most students will have no difficulty getting started on most of the puzzles, though you may occasionally want to work through the first problem with your students, showing where the answers are to go, etc. An overhead transparency of a puzzle may facilitate discussion, especially for puzzles that include geometric figures. Students sometimes get excited and call out the solution, when they solve a puzzle, so you may want to caution your class about this before they begin working. 3. Objectives. Two lists of objectivesa summary list and a complete list (expressed in terms of learner behaviors)and the specific puzzles that provide practice for each objective are given on pages vxix. These objectives may be helpful in planning or in writing test items. 4. Showing Work. Though some exercises can be done mentally, many require paperandpencil (or calculator) computations. If you require the use of paper and pencil, you may wish to have students hand in their scratch paper for each puzzle with the work for each problem identified. If students use calculators, you may want them to hand in a record of computations performed. Requiring students to show their work can help in diagnosing individual strengths and weaknesses. Other Books by Steve and Janis Marcy published by Creative Publications: Middle School Math With Pizzazz! Book A Middle School Math With Pizzazz! Book 6 Middle School Math With Pizzazz! Book C Middle School Math With Pizzazz! Book D Middle School Math With Pizzazz! Book E Algebra With Pizzazz! Operations with whole numbers, basic facts, place value, and numeration Decimals, operations, applications, and problemsolving strategies Fraction concepts and operations, number theory, and relating fractions and decimals Measurement, geometry, area, perimeter, angles, square roots, and right triangles Percent, probability, ratio and proportion, statistics, integers, and equations Practice activities for firstyear algebra students. PREALGEBRA WITH PIZZAZZ! IV O Creative Publications
5 PART AA SUMMARY TABLE OF OBJECTIVES 1. Concept of Positive and Negative Numbers Integers Add integers Subtract integers Add and subtract integers Multiply integers Add. subtract. and multiply integers Divide integers Add. subtract. multiply. and divide integers Fractions Find equivalent fractions Add fractions Subtract fractions Add and subtract fractions Multiply fractions...: Find reciprocals Divide fractions Add. subtract. multiply. and divide fractions Decimals Express a fraction as a decimal Add and subtract decimals Multiply decimals Add, subtract. and multiply decimals Multiply and divide decimals by powers of Divide decimals Add, subtract. multiply. and divide decimals Properties of Operations Apply properties of zero and one Apply the commutative and associative properties Apply the distributive property Test of Genius 61 PREALGEBRA WITH PIZZAZZ! O Creative Publications V
6 PART AA COMPLETE TABLE OF OBJECTIVES The student will be able to: 1. Locate a point on the number line Identify numbers greater or less than a given number Use arrow diagrams to represent numbers Add negative integers Determine addition equation represented by arrow diagram Add positive and negative integers Subtract integers Add and subtract integers Multiply a positive integer times a negative integer Multiply positive and negative integers Add. subtract. and multiply integers Divide integers Perform all four operations with integers Reduce a fraction to lowest terms Find a fraction width a given numerator or denominator equivalent to a given fraction Add rational numbers named by fractions with a common denominator Add rational numbers named by fractions with unlike denominators Add rational numbers named by mixed numerals Subtract rational numbers named by fractions and mixed numerals Add and subtract rational numbers named by integers. fractions. and mixed numerals Multiply rational numbers named by integers and fractions Multiply rational numbers named by integers and mixed numerals PREALGEBRA WITH PIZZAZZ! ~i O Creative Publications
7 23. Multiply rational numbers named by integers. fractions. and mixed numerals Find the reciprocal of a fraction or mixed numeral Divide rational numbers named by integers and fractions Divide rational numbers named by integers. fractions. and mixed numerals Perform all four operations with rational numbers named by integers. fractions. and mixed numerals Express a fraction as a decimal Add and subtract rational numbers in decimal form Multiply rational numbers in decimal form Add. subtract. and multiply rational numbers in decimal form Multiply and divide rational numbers in decimal fo.rm by powers of Divide rational numbers in decimal form Perform a.ll four operations with rational numbers in decimal form Solve equations using the properties of zero Solve equations using the properties of one Apply the commutative and/or associative properties to determine whether or not two expressions are equivalent Apply the distributive property to solve equations or problems PREALGEBRA WITH PIZZAZZ! O Creative Publications ~i
8 PART BB SUMMARY TABLE OF OBJECTIVES 1. Exponents Evaluate an expression containing an exponent Operate with powers of Decimals Express a number in expanded notation as a decimal Express a fraction as a decimal Round off a decimal Express a repeating decimal as a fraction Scientific Notation Write a number in scientific notation Operate with numbers in scientific notation Use scientific notation in estimation Introducing Irrational Numbers Ratio. Proportion. and Percent Express a ratio as a fraction in lowest terms Solve a proportion or a problem using a proportion Translate a word expression to a percent Express a percent as a fraction Express a fraction as a percent Estimate a percent of a number Express a percent as a decimal 94 Find a percent of a number Find what percent one number is of another Find a number given a percent of the number Perform all of the above three operations Probability Find the probability of an event Evaluate an expression containing factorial symbols Find the number of permutations or combinations Test of Genius PREALGEBRA WITH PIZZAZZ! vi i i o Creative Publications
9 PART BB COMPLETE TABLE OF OBJECTIVES The student will be able to: 1. Evaluate an expression containing a positive exponent Evaluate an expression containing a negative exponent Multiply powers of Divide powers of Multiply and divide powers of Express as a decimal a number given in expanded notation Write a decimal for a fraction or mixed numeral that has a power of 10 in the denominator Round off a decimal Express a fraction as a decimal rounded off to the nearest thousandth Express a fraction as a repeating decimal Express a fraction as a mixed decimal Express a repeating decimal as a fraction Represent a given decimal numeral in... scientific notation. and conversely Multiply numbers in scientific notation Divide numbers in scientific notation Use scientific notation to estimate a product or quotient Determine whether a decimal names a rational or an irrational number Demonstrate comprehension of basic concepts a.nd vocabulary related to the set of real numbers PREALGEBRA WITH PIZZAZZ! O Creative Publications i~
10 19. Express a ratio as a fraction in lowest terms Solve a proportion Solve problems using proportions Translate a numerical or word expression to a percent Express a percent as a fraction Express a fraction as a percent Select the best estimate for the percent equivalent of a fraction or for a percent of a number Express a percent as a decimal Find a percent of a number Find the cost of a discounted item given the original price. percent discount. and percent sales tax Find the interest on a loan given the principal. interest rate. and time Solve problems involving percents less than 1 Oh or greater than 100% Find what percent one number is of another Find the percent increase or decrease in a variable Find a number given a percent of the number Find a percent of a number; find what percent one number is of another; or find a number given a percent of the number Give the probability of an outcome in a simple... probability experiment Find the probability that either of two mutually exclusive events will occur in one trial of an experiment Find the probability that the union or intersection of two events will occur in one trial of an experiment X PREALGEBRA WITH PIZZAZZ! 63 Creative Publications
11 38. Find the probability of an event when the outcomes are ordered pairs (e.g., two coins, two dice) Find the probability of an outcome resulting from repeated trials of an experiment Evaluate an expression containing factorial symbols Find the number of permutations of n things taken r at a time Find the number of combinations of n things taken r at a time PREALGEBRA WITH PIZZAZZ! O Creative Publications xi
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
Math Foundations IIB Grade Levels 912
Math Foundations IIB Grade Levels 912 Math Foundations IIB introduces students to the following concepts: integers coordinate graphing ratio and proportion multistep equations and inequalities points,
More informationMath 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.
Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used
More informationSIXTH GRADE MATH. Quarter 1
Quarter 1 SIXTH GRADE MATH Numeration  Place value  Comparing and ordering whole numbers  Place value of exponents  place value of decimals  multiplication and division by 10, 100, 1,000  comparing
More informationRepton Manor Primary School. Maths Targets
Repton Manor Primary School Maths Targets Which target is for my child? Every child at Repton Manor Primary School will have a Maths Target, which they will keep in their Maths Book. The teachers work
More informationMATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab
MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring noncourse based remediation in developmental mathematics. This structure will
More informationMAT 0950 Course Objectives
MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify
More informationMath Help and Additional Practice Websites
Name: Math Help and Additional Practice Websites http://www.coolmath.com www.aplusmath.com/ http://www.mathplayground.com/games.html http://www.ixl.com/math/grade7 http://www.softschools.com/grades/6th_and_7th.jsp
More informationFirst Six Weeks (29 Days)
Mathematics Scope & Sequence Grade 6 Revised: May 2010 Topic Title Unit 1: Compare and Order, Estimate, Exponents, and Order of Operations Lesson 11: Comparing and Ordering Whole Numbers Lesson 12: Estimating
More informationText: Scott Foresman CA Mathematics
Grade 6 Mathematics 008009 3 Course Introduction 7 Segment I: Algebra and Decimals 0 Variables and Expressions NS.0 AF. 9 Orders of Operation AF. 4 Powers and Exponents  Comparing and Ordering Decimals
More informationMathematics Vocabulary List For PreAlgebra
Mathematics Vocabulary List For PreAlgebra 1. Absolute Value  the distance from a number to zero on a number line. It is always positive. l6 l = 6 l 25 l = 25 l 6 l = 6 l 25 l = 25 2. Associative Property
More informationPETERS TOWNSHIP SCHOOL DISTRICT CORE BODY OF KNOWLEDGE MATH GRADE 5
PETERS TOWNSHIP SCHOOL DISTRICT CORE BODY OF KNOWLEDGE MATH GRADE 5 For each of the sections that follow, students may be required to understand, apply, analyze, evaluate or create the particular concepts
More informationRIT scores between 191 and 200
Measures of Academic Progress for Mathematics RIT scores between 191 and 200 Number Sense and Operations Whole Numbers Solve simple addition word problems Find and extend patterns Demonstrate the associative,
More informationCAMI 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 informationGreater Nanticoke Area School District Math Standards: Grade 6
Greater Nanticoke Area School District Math Standards: Grade 6 Standard 2.1 Numbers, Number Systems and Number Relationships CS2.1.8A. Represent and use numbers in equivalent forms 43. Recognize place
More informationFunctional 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 informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers
More informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationMaths Area Approximate Learning objectives. Additive Reasoning 3 weeks Addition and subtraction. Number Sense 2 weeks Multiplication and division
Maths Area Approximate Learning objectives weeks Additive Reasoning 3 weeks Addition and subtraction add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar
More informationThe 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 informationMATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
More informationeday Lessons Mathematics Grade 8 Student Name:
eday Lessons Mathematics Grade 8 Student Name: Common Core State Standards Expressions and Equations Work with radicals and integer exponents. 3. Use numbers expressed in the form of a single digit times
More informationStandardsBased Progress Mathematics. Progress in Mathematics
SADLIER StandardsBased Progress Mathematics Aligned to SADLIER Progress in Mathematics Grade 5 Contents Chapter 1 Place Value, Addition, and Subtraction......... 2 Chapter 2 Multiplication....................................
More informationCommon Core Standards for Fantasy Sports Worksheets. Page 1
Scoring Systems Concept(s) Integers adding and subtracting integers; multiplying integers Fractions adding and subtracting fractions; multiplying fractions with whole numbers Decimals adding and subtracting
More informationFree PreAlgebra Lesson 55! page 1
Free PreAlgebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can
More informationNumber 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 informationYear Five Maths Notes
Year Five Maths Notes NUMBER AND PLACE VALUE I can count forwards in steps of powers of 10 for any given number up to 1,000,000. I can count backwards insteps of powers of 10 for any given number up to
More informationPrentice 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 informationWORK 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 informationFlorida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower
Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including
More informationALGEBRA I A PLUS COURSE OUTLINE
ALGEBRA I A PLUS COURSE OUTLINE OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines of Best
More informationUnit 1, Review Transitioning from Previous Mathematics Instructional Resources: McDougal Littell: Course 1
Unit 1, Review Transitioning from Previous Mathematics Transitioning from previous mathematics to Sixth Grade Mathematics Understand the relationship between decimals, fractions and percents and demonstrate
More informationTopic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
Year 1 (Age 56) Number and Place Value Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Count up to 10 and back (Age 56) Count up to 20 objects (Age 56)
More informationCourse Outlines. 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit)
Course Outlines 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit) This course will cover Algebra I concepts such as algebra as a language,
More information2013 Texas Education Agency. All Rights Reserved 2013 Introduction to the Revised Mathematics TEKS: Vertical Alignment Chart Kindergarten Algebra I 1
2013 Texas Education Agency. All Rights Reserved 2013 Introduction to the Revised Mathematics TEKS: Vertical Alignment Chart Kindergarten Algebra I 1 The materials are copyrighted (c) and trademarked (tm)
More informationAMSCO 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 informationGrade 7 PreAP Math Unit 1. Numbers and Operations *CISD Safety Net Standards: 7.3B. Suggested Time Frame. 1 st Six Weeks 15 Days
Numbers and Operations *CISD Safety Net Standards: 7.3B 7.3B Title Big Ideas/Enduring Understandings Problems can be solved easier when using variety of equivalent forms. All numbers fall within the real
More informationWhole Numbers and Integers (44 topics, no due date)
Course Name: PreAlgebra into Algebra Summer Hwk Course Code: GHMKUKPMR9 ALEKS Course: PreAlgebra Instructor: Ms. Rhame Course Dates: Begin: 05/30/2015 End: 12/31/2015 Course Content: 302 topics Whole
More informationWelcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)
Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402443 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application
More informationSQUARES AND SQUARE ROOTS
1. Squares and Square Roots SQUARES AND SQUARE ROOTS In this lesson, students link the geometric concepts of side length and area of a square to the algebra concepts of squares and square roots of numbers.
More informationUtah Core Curriculum for Mathematics
Core Curriculum for Mathematics correlated to correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables 2.2.1 Evaluate algebraic expressions
More informationContents. Block A Understanding numbers 7. Block C Geometry 53. Block B Numerical operations 30. Page 4 Introduction Page 5 Oral and mental starters
Contents Page 4 Introduction Page 5 Oral and mental starters Block A Understanding numbers 7 Unit 1 Integers and decimals 8 Integers Rounding and approximation Large numbers Decimal numbers Adding and
More informationPreAlgebra A: Full Course Summary
PreAlgebra A: Full Course Summary Course Summary This is the first of two courses that comprise PreAlgebra. In this course, the student will be introduced to basic algebraic principles. The student will
More informationMyMathLab ecourse for Developmental Mathematics
MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and
More informationSaxon Math Home School Edition. September 2008
Saxon Math Home School Edition September 2008 Saxon Math Home School Edition Lesson 4: Comparing Whole Lesson 5: Naming Whole Through Hundreds, Dollars and Cent Lesson 7: Writing and Comparing Through
More informationPrentice Hall Mathematics: Course Correlated to: Alaska State Content Standards: Math (Grade 7)
Alaska State Content Standards: Math (Grade 7) A. A student should understand mathematical facts, concepts, principles, and theories. 1. understand and use numeration, including numbers, number systems,
More informationCourse: Math 7. engage in problem solving, communicating, reasoning, connecting, and representing
Course: Math 7 Decimals and Integers 11 Estimation Strategies. Estimate by rounding, frontend estimation, and compatible numbers. Prentice Hall Textbook  Course 2 7.M.0 ~ Measurement Strand ~ Students
More informationAlgebra 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 informationALGEBRA 1/ALGEBRA 1 HONORS
ALGEBRA 1/ALGEBRA 1 HONORS CREDIT HOURS: 1.0 COURSE LENGTH: 2 Semesters COURSE DESCRIPTION The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical
More informationPrentice Hall Mathematics, Algebra 1 2009
Prentice Hall Mathematics, Algebra 1 2009 Grades 912 C O R R E L A T E D T O Grades 912 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension
More informationYear 5. Pupils should identify the place value in large whole numbers.
Year 5 Year 5 programme of study (statutory requirements) Number, place value, approximation and estimation Number, place value, approximation and estimation Pupils should identify the place value in large
More informationBasic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704.
Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. The purpose of this Basic Math Refresher is to review basic math concepts so that students enrolled in PUBP704:
More informationGRADES 7, 8, AND 9 BIG IDEAS
Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for
More informationNew York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1
New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator
More informationYear 6 Maths Objectives
Year 6 Maths Objectives Place Value COUNTING COMPARING NUMBERS IDENTIFYING, REPRESENTING & ESTIMATING NUMBERS READING & WRITING NUMBERS UNDERSTANDING PLACE VALUE ROUNDING PROBLEM SOLVING use negative numbers
More informationYear 8  Maths Autumn Term
Year 8  Maths Autumn Term Whole Numbers and Decimals Order, add and subtract negative numbers. Recognise and use multiples and factors. Use divisibility tests. Recognise prime numbers. Find square numbers
More informationGrade 9 Mathematics Unit #1 Number Sense SubUnit #1 Rational Numbers. with Integers Divide Integers
Page1 Grade 9 Mathematics Unit #1 Number Sense SubUnit #1 Rational Numbers Lesson Topic I Can 1 Ordering & Adding Create a number line to order integers Integers Identify integers Add integers 2 Subtracting
More informationAlgebra 12. A. Identify and translate variables and expressions.
St. Mary's College High School Algebra 12 The Language of Algebra What is a variable? A. Identify and translate variables and expressions. The following apply to all the skills How is a variable used
More informationCurriculum Guide for the Academic School Year
MATH 7 Curriculum Guide for the Academic School Year 7 TH GRADE MATH CORTEZ TRAK 20142015 Link to: Math 7 Curriculum Framework Cortez Model covers boxed items Days Date SOL Description Cortez 14 8/18
More informationCOMPASS Numerical Skills/PreAlgebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13
COMPASS Numerical Skills/PreAlgebra Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre
More informationGrade 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 informationHigher Education Math Placement
Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication
More informationCalculations with whole numbers, simple ratio and direct proportion
Externally assessed by OCR Unit Title: Level: 1 Credit value: 5 Guided learning hours: 50 Unit reference number: Calculations with whole numbers, simple ratio and direct proportion T/504/5990 Unit purpose
More informationAnchorage School District/Alaska Sr. High Math Performance Standards Algebra
Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,
More informationy x x 2 Squares, square roots, cubes and cube roots TOPIC 2 4 x 2 2ndF 2ndF Oral activity Discuss squares, square roots, cubes and cube roots
TOPIC Squares, square roots, cubes and cube roots By the end of this topic, you should be able to: ü Find squares, square roots, cubes and cube roots of positive whole numbers, decimals and common fractions
More informationIntroduction to the Instructor TERM 1
Introduction to the Instructor TERM 1 This calendar of lessons was prepared as a textbook independent sequence of lessons and the order of topics can be modified based on the textbook selection. The columns
More informationMATH 90 CHAPTER 1 Name:.
MATH 90 CHAPTER 1 Name:. 1.1 Introduction to Algebra Need To Know What are Algebraic Expressions? Translating Expressions Equations What is Algebra? They say the only thing that stays the same is change.
More informationTransition To College Mathematics
Transition To College Mathematics In Support of Kentucky s College and Career Readiness Program Northern Kentucky University Kentucky Online Testing (KYOTE) Group Steve Newman Mike Waters Janis Broering
More informationMaths Progressions Number and algebra
This document was created by Clevedon School staff using the NZC, Maths Standards and Numeracy Framework, with support from Cognition Education consultants. It is indicative of the maths knowledge and
More information3.1. RATIONAL EXPRESSIONS
3.1. RATIONAL EXPRESSIONS RATIONAL NUMBERS In previous courses you have learned how to operate (do addition, subtraction, multiplication, and division) on rational numbers (fractions). Rational numbers
More informationMath SYLLABUS (1 st ~ 8 th Grade, Advance, SAT/ACT)
Math SYLLABUS (1 st ~ 8 th Grade, Advance, SAT/ACT) Math  1 st Grade 1. Kindergarteners or 1 st graders in regular school 2. At least 5 years old Syllabus 1. Numeration (0 through 99) 2. Addition (2
More informationEXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS
To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires
More informationHOSPITALITY Math Assessment Preparation Guide. Introduction Operations with Whole Numbers Operations with Integers 9
HOSPITALITY Math Assessment Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre at George
More informationYear 5 Mathematics Programme of Study Maths worksheets from mathsphere.co.uk MATHEMATICS. Programme of Study. Year 5 Number and Place Value
MATHEMATICS Programme of Study Year 5 Number and Place Value Here are the statutory requirements: Number and place value read, write, order and compare numbers to at least 1 000 000 and determine the value
More informationNCTM 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 informationMathematics. What to expect Resources Study Strategies Helpful Preparation Tips Problem Solving Strategies and Hints Test taking strategies
Mathematics Before reading this section, make sure you have read the appropriate description of the mathematics section test (computerized or paper) to understand what is expected of you in the mathematics
More informationascending order decimal denominator descending order Numbers listed from largest to smallest equivalent fraction greater than or equal to SOL 7.
SOL 7.1 ascending order Numbers listed in order from smallest to largest decimal The numbers in the base 10 number system, having one or more places to the right of a decimal point denominator The bottom
More informationTeaching PreAlgebra in PowerPoint
Key Vocabulary: Numerator, Denominator, Ratio Title Key Skills: Convert Fractions to Decimals Long Division Convert Decimals to Percents Rounding Percents Slide #1: Start the lesson in Presentation Mode
More informationScope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
More informationMATH 60 NOTEBOOK CERTIFICATIONS
MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5
More informationNativity Catholic School Rising 7th grade IXL Language Arts and Math Summer Homework
Nativity Catholic School Rising 7th grade IXL Language Arts and Math Summer Homework Please work on the following skills listed in the 6th Grade Math and Language Arts IXL Program for a minimum of 60 minutes
More informationVocabulary Cards and Word Walls Revised: June 29, 2011
Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,
More informationMathematics Scheme of Work: Form
Textbook: Formula One Maths B2 Hodder and Stoughton Chapter No. First Term Revising Time Topic and Subtopic October  December Handout Notes 2 Numbers 2.1 Basic conversions: Changing from large units to
More informationCOGNITIVE TUTOR ALGEBRA
COGNITIVE TUTOR ALGEBRA Numbers and Operations Standard: Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers,
More informationI know when I have written a number backwards and can correct it when it is pointed out to me I can arrange numbers in order from 1 to 10
Mathematics Targets Moving from Level W and working towards level 1c I can count from 1 to 10 I know and write all my numbers to 10 I know when I have written a number backwards and can correct it when
More informationAlgebra 1 Chapter 3 Vocabulary. equivalent  Equations with the same solutions as the original equation are called.
Chapter 3 Vocabulary equivalent  Equations with the same solutions as the original equation are called. formula  An algebraic equation that relates two or more reallife quantities. unit rate  A rate
More informationPROBLEM SOLVING, REASONING, FLUENCY. Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value. Measurement Four operations
PROBLEM SOLVING, REASONING, FLUENCY Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value Addition and subtraction Large numbers Fractions & decimals Mental and written Word problems,
More informationUnit 1: Integers and Fractions
Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 31 Integers & Absolute Value 191194, 203206, 195198, 207210 32 Add Integers 33 Subtract Integers 215222 34 Multiply
More informationLesson List
20162017 Lesson List Table of Contents Operations and Algebraic Thinking... 3 Number and Operations in Base Ten... 6 Measurement and Data... 9 Number and Operations  Fractions...10 Financial Literacy...14
More informationConceptual Understanding of Operations of Integers
Grade 7 Mathematics, Quarter 2, Unit 2.1 Conceptual Understanding of Operations of Integers Overview Number of instructional days: 10 (1 day = 45 60 minutes) Content to be learned Demonstrate conceptual
More informationAlgebra I Notes Review Real Numbers and Closure Unit 00a
Big Idea(s): Operations on sets of numbers are performed according to properties or rules. An operation works to change numbers. There are six operations in arithmetic that "work on" numbers: addition,
More informationMath Content
20122013 Math Content PATHWAY TO ALGEBRA I Unit Lesson Section Number and Operations in Base Ten Place Value with Whole Numbers Place Value and Rounding Addition and Subtraction Concepts Regrouping Concepts
More informationPrentice 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 informationStudents will be able to simplify and evaluate numerical and variable expressions using appropriate properties and order of operations.
Outcome 1: (Introduction to Algebra) Skills/Content 1. Simplify numerical expressions: a). Use order of operations b). Use exponents Students will be able to simplify and evaluate numerical and variable
More informationAlgebra 1A and 1B Summer Packet
Algebra 1A and 1B Summer Packet Name: Calculators are not allowed on the summer math packet. This packet is due the first week of school and will be counted as a grade. You will also be tested over the
More informationQuick Reference ebook
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
More informationparent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE
TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE 5 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does
More informationYear 1 Maths Expectations
Times Tables I can count in 2 s, 5 s and 10 s from zero. Year 1 Maths Expectations Addition I know my number facts to 20. I can add in tens and ones using a structured number line. Subtraction I know all
More informationGrade 5 Mathematics Curriculum Guideline Scott Foresman  Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting
Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman  Addison Wesley 2008 Test Preparation Timeline Recommendation: September  November Chapters 15 December
More informationYear 2 Maths Objectives
Year 2 Maths Objectives Counting Number  number and place value Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward Place Value Comparing and Ordering Read and write
More informationAdd and subtract 1digit and 2digit numbers to 20, including zero. Measure and begin to record length, mass, volume and time
Year 1 Maths  Key Objectives Count to and across 100 from any number Count, read and write numbers to 100 in numerals Read and write mathematical symbols: +,  and = Identify "one more" and "one less"
More information