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Mathematics Curriculum Guide Grade 8 |
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Objectives |
Core Curr. |
Instructional |
Assessment |
Resources |
GEPA |
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Unit 1 The student will be able to: |
Understanding Numbers & Interpreting Data | ||||
| ุ Read & write whole numbers & decimals. |
4.1-4.4 4.6 4.7 4.8 |
Chapter 1.1 Decimal Place Value, pp. 12-13 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 1; Reteaching 1; Enrichment 1; Mac. Act. 1/2 |
SAT-9 |
| ุ Round numbers to a given place. Make charts from given data. |
4.1-4.4 4.6| 4.7 4.8 |
Chapter 1.2 Organizing Data In Tables, pp. 14-15 |
Practice 2; Reteaching 2; Enrichment 2; Mac. Act. 3/4 |
M. III | |
| ุ Solve problems by using the five-step process. |
4.1-4.4 4.6 4.8 |
Chapter 1.3 Problem Solving: Using 5-Step, pp. 16-17 |
Teacher observation |
Practice 3; Reteaching 3; Enrichment 3; Mac. Act. 5/6; calculator |
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| ุ Use logical reasoning & number sense. |
4.1-4.4 4.6 4.7 4.8 |
Chapter 1.4 Thinking Mathematically: Logical Reasoning, pp. 18-19 |
Problem Solve 3; Critical Thinking 1 |
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| ุ Read, make & interpret grouped-frequency tables & line plots. |
4.1-4.4 4.6 4.7 4.8 |
Chapter 1.5 Frequency Tables & Line Plots, pp. 20-21 |
Mid-chapter Quiz |
Practice 4; Reteaching 4; Enrichment 4; Mac. Act. 7/8 |
SAT-9
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| ุ Read, make & interpret double bar graphs & triple bar graphs from given & collected data. |
4.1-4.4 4.6 4.7 4.8 |
Chapter 1.6 Interpreting & Making Bar Graphs, pp. 22-23 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 5; Reteaching 5; Enrichment 5; Mac. Act. 9/10 |
SAT-9 M. III M. IV |
| ุ Read, make & interpret double bar graphs & triple line graphs from given & collected data. |
4.1-4.4 4.6 |
Chapter 1.7 Interpreting & Making Line Graphs, pp. 24-25 |
Teacher observation |
Practice 5; Reteaching 5; Enrichment 5; Mac. Act. 9/10 |
SAT-9 M. III M. IV |
| ุ Recognize misleading graphs. |
4.1-4.4 4.6 |
Chapter 1.8 Deceptive Graphs, pp. 26-27 |
Practice 6; Reteaching 6; Enrichment 6 |
M. III M. IV |
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| ุ Solve problems by conducting an experiment. |
4.1-4.4 4.5 4.6 |
Chapter 1.9 Problem Solving Strategy: Conducting An Experiment, pp. 28-29 |
Assess cooperative learning teams |
Practice 7; Reteaching 7; Enrichment 7 |
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| ุ Making decisions about choosing a video rental store. |
4.1-4.4 4.5 4.6 4.14 |
Chapter 1.10 Decision Making: Choosing A Video Rental Store, pp. 30-31 |
Practice 8; Reteaching 8; Enrichment 8 |
M. IV | |
| ุ Understand how mathematics has inspired poets. |
4.1-4.4 4.6 4.14 |
Chapter 1 Curriculum Connection, p. 32 |
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| ุ Study the advantages of a computer. |
4.1-4.4 4.5 4.6 4.14 |
Chapter 1 Technology, p. 33 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 |
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| ุ Review the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter Review, p. 40 | Home Involvement 1 | M. IV | |
| ุ Assess students understanding of the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter Test, p. 42 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Answer grid | M. IV |
| ุ Write hexadecimal numbers for base 10 numbers & vice versa. | 4.1-4.4 | Enrichment For All, p. 43 | |||
| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter Cumulative Review, p. 44 | |||
| Unit 2 | Applying Operations: Whole & Decimals | ||||
| ุ Add & subtract using mental math techniques. |
4.1-4.4 4.6 |
Chapter 2.1 Mental Math: Adding & Subtracting, pp. 46-47 |
Mac. Act. 17/18 | M. I | |
| ุ Estimate sums & differences. |
4.1-4.4 4.6 4.10 |
Chapter 2.2 Estimating Sums & Differences, pp. 48-49 |
Teacher observation | Mac. Act. 19/20 | M. I |
| ุ Add & subtract whole numbers & decimals using paper/pencil or a calculator. |
4.1-4.4 4.6 |
Chapter 2.3 Applying Addition & Subtraction, pp. 50-51 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Mac Act. 21/22 |
M. I
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| ุ Multiply & divide using mental math techniques. |
4.1-4.4 4.6 |
Chapter 2.4 Mental Math: Multiplying & Dividing, pp. 52-53 |
Teacher observation | Mac Act. 23/24 | M. I |
| ุ Estimate products & quotients. |
4.1-4.4 4.6 4.10 |
Chapter 2.5 Estimating Products & Quotients, pp. 54-55 |
Practice 13; Reteaching 13; Enrichment 13; Mac Act. 25/26 |
M. I | |
| ุ Solve problems by using estimation. |
4.1-4.4 4.6 4.10 |
Chapter 2.6 Problem Solving Strategy: Using Estimation, pp. 56-57 |
Mid-chapter Quiz |
Practice 14; Reteaching 14; Enrichment 14; Mac Act. 27/28 |
M. I |
| ุ Apply order of operations. Use addition, subtraction, multiplication & division. |
4.1-4.4 4.6 |
Chapter 2.7 Thinking Mathematically: Using Number Concepts, pp. 58-59 |
Problem Solve 9; Critical Thinking 3 |
M. I | |
| ุ Multiply whole numbers & decimals using paper/pencil or a calculator. |
4.1-4.4 4.6 |
Chapter 2.8 Applying Multiplication, pp. 60-61 |
Practice 15; Reteaching 15; Enrichment 15; Mac Act. 29/30 |
M. I | |
| ุ Divide whole numbers & decimals using paper/pencil or a calculator. |
4.1-4.4 4.6 |
Chapter 2.9 Applying Division, pp. 62-63 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 16; Reteaching 16; Enrichment 16; Mac Act. 31/32 |
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| ุ Solve problems that involve identifying reasonable answers. |
4.1-4.4 4.6 |
Chapter 2.10 Problem Solving: Checking For A Reasonable Answer, pp. 64-65 |
Practice 17; Reteaching 17; Enrichment 17; Mac Act. 33/34 |
M. I | |
| ุ Use & convert metric units of length, mass & capacity. |
4.1-4.4 4.6 4.9 |
Chapter 2.11 Converting Metric Measures, pp. 66-67 |
Teacher observation |
Practice 18; Reteaching 18; Enrichment 18; Mac Act. 35/36 |
M. II |
| ุ Write standard form of numbers given in exponential form. Find positive square roots. | 4.1-4.4 |
Chapter 2.12 Powers & Roots, pp. 68-69 |
Mac Act. 37/38 | SAT-9 | |
| ุ Write numbers given in standard form in scientific notation & vice versa. Multiply/divide large numbers using scientific notation. |
4.1-4.4 4.6 |
Chapter 2.13 Scientific Notation, pp. 70-71 |
Practice 19; Reteaching 19; Enrichment 19; Mac Act. 39/40 |
SAT-9 | |
| ุ Make decisions about choosing a fishing trip. |
4.1-4.4 4.5 4.6 |
Chapter 2.14 Decision Making: Choosing A Plan For A Fishing Trip, pp. 72-73 |
Assess cooperative learning teams |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 |
M. IV |
| ุ Understand how CDs have improved sound quality over LPs. |
4.1-4.4 4.6 |
Chapter 2 Curriculum Connection: Music, p. 74 |
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| ุ Study computer line graphs. |
4.1-4.4 4.6 4.14 |
Chapter 2 Technology: Computer Double Line Graphs, p. 75 |
M. III | ||
| ุ Review the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 2 Review, p. 82 | Home Involvement 2 | ||
| ุ Assess students understanding of the concepts & skills presented in chapter. | 4.1-4.16 | Chapter 2 Test, p. 84 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Answer grid | |
| ุ Compute using modular arithmetic. |
4.1-4.4 4.14 |
Chapter 2 Enrichment For All: Finite Systems, p. 85 |
M. I | ||
| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter 2 Cumulative Review, p. 86 | |||
| Unit 3 | Equations & Formulas | ||||
| ุ Use order of operations to simplify arithmetic expressions. |
4.1-4.4 4.6 4.13 |
Chapter 3.1 Order of Operations, pp. 88-89 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 21; Reteaching 21; Enrichment 21; Mac Act. 41/42 |
M. I SAT-9 |
| ุ Write & evaluate algebraic expressions. |
4.1-4.4 4.6 4.13 |
Chapter 3.2 Algebraic Expressions, pp. 90-91 |
Teacher observation |
Practice 22; Reteaching 22; Enrichment 22; Mac Act. 43/44 |
M. I SAT-9 |
| ุ Write equations & inequalities from word sentences. |
4.1-4.4 4.6 4.13 |
Chapter 3.3 Writing Algebraic Sentences, pp. 92-93 |
Teacher observation |
Practice 23; Reteaching 23; Enrichment 23; Mac Act. 45/46 |
SAT-9 |
| ุ Solve problems using the distance formula. |
4.1-4.4 4.6 4.13 |
Chapter 3.4 Problem Solving Strategy: Using A Formula, pp. 94-95 |
Teacher observation |
Practice 24; Reteaching 24; Enrichment 24; Mac Act. 47/48; Problem Solve 15/16 |
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| ุ Solve 1-step equations involving addition & subtraction of whole numbers & decimals. |
4.1-4.4 4.6 4.13 |
Chapter 3.5 Equations: Addition & Subtraction, pp. 96-97 |
Teacher observation |
Practice 25; Reteaching 25; Enrichment 25; Mac Act. 49/50 |
M. I M. V SAT-9 |
| ุ Solve 1-step equations involving multiplication & division of whole & decimal numbers. |
4.1-4.4 4.6 4.13 |
Chapter 3.6 Equations: Multiplication & Division, pp. 98-99 |
Mid-chapter Quiz |
Practice 26; Reteaching 26; Enrichment 26; Mac Act. 51/52 |
M. I M. V SAT-9 |
| ุ Express mathematical relationships algebraically. |
4.1-4.4 4.6 4.13 4.14 |
Chapter 3.7 Thinking Mathematically Using Number Concepts, p. 100 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Critical Thinking 5 |
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| ุ Solve 1-step inequalities. |
4.1-4.4 4.6 4.13 |
Chapter 3.8 Solving Inequalities, pp. 102-103 |
Teacher observation |
Practice 27; Reteaching 27; Enrichment 27; Mac Act. 53/54; Problem Solve 17 |
M. I M. V SAT-9 |
| ุ Solve 2-step equations. |
4.1-4.4 4.6 4.13 |
Chapter 3.9 Solving 2-Step Equations, pp. 104-105 |
Teacher observation |
Practice 28; Reteaching 28; Enrichment 28; Mac Act. 55/56; Problem Solve 18 |
M. I M. V |
| ุ Solve multi-step problems. |
4.1-4.4 4.6 4.13 |
Chapter 3.10 Problem Solving Strategy: Solving A Multi-step Problem, pp. 106-107 |
Teacher observation |
Practice 29; Reteaching 29; Enrichment 29; |Mac Act. 57/58 |
M. I M. V |
| ุ Use formulas to find areas & missing dimensions of triangles & quadrilaterals. |
4.1-4.4 4.6 4.13 |
Chapter 3.11 Applying Equations: Area Formulas, pp. 108-109 |
Teacher observation | Practice 30; Reteaching 30; Enrichment 30; Mac Act. 59/60 |
M. II |
| ุ Use formulas to find volumes & missing dimensions of rectangular & triangular prism. |
4.1-4.4 4.6 4.13 |
Chapter 3.12 Applying Equations: Volume Formulas, pp. 110-111 |
Teacher observation | Practice 31; Reteaching 31; Enrichment 31; Mac Act. 61/62; Problem Solve 19 |
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| ุ Use formulas to find circumferences, areas & missing dimension of circles. |
4.1-4.4 4.6 4.13 |
Chapter 3.13 Applying Equations: Circles, pp. 112-113 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 32; Reteaching 32; Enrichment 32; Mac Act. 63/64; Problem Solve 20/21 |
M. V SAT-9 |
| ุ Find the mean, median, & mode of sets of numbers. Analyze the effects of changing data. |
4.1-4.4 4.6 4.12 |
Chapter 3.14 Mean, Median & Mode, pp. 114-115 |
Teacher observation | Practice 33; Reteaching 33; Enrichment 33; Mac Act. 65/66; Problem Solve 22 |
M. IV |
| ุ Make decisions about choosing a senior citizens project. |
4.1-4.4 4.5 4.6 |
Chapter 3.15 Decision Making: Choosing A Senior Citizens Project, pp. 116-117 |
Assess cooperative learning teams | Problem Solve 23; Critical Thinking 6 |
M. I M. IV |
| ุ Understand & use horsepower to find the amount of work engines can produce. |
4.1-4.4 4.6 |
Chapter 3 Curriculum Connection: Science, pp. 118-119 |
Science | Heavyweight rope/chord | |
| ุ Distinguish between standard & scientific notation. |
4.1-4.4 4.5 4.6 4.14 |
Chapter 3 Technology, p. 119 | Science | Scientific calculator; Technology 14 |
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| Unit 3 | Chapter 3 | ||||
| ุ Review the concepts & skills presented in the chapter. | 4.1-4.4 | Chapter 3 Review, pp. 126-127 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Home Involvement 3 |
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| ุ Assess students understanding of the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 3 Test, p. 128 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Answer grid | |
| ุ Find areas by finding the sum of parts. |
4.1-4.4 4.14 |
Chapter 3 Enrichment For All, p. 129 | M. II | ||
| ุ Review & maintain previously learned skills & concepts. |
4.1-4.4 4.16 |
Chapter 3 Cumulative Review, p. 130 | |||
| Unit 4 | Patterns & Number Theory | ||||
| ุ Identify the rules of arithmetic sequences. |
4.1-4.4 4.6 4.11 |
Chapter 4.1 Sequences, pp. 132-133 | Teacher observation | Practice 34; Reteaching 34; Enrichment 34; Mac Act. 67/68; Problem Solve 24 |
M. II SAT-9 |
| ุ Find the sum of the terms of an arithmetic sequence. |
4.-1-4.4 4.6 4.11 |
Chapter 4.2 Sequences & Patterns, pp. 134-135 |
Practice 35; Reteaching 35; Enrichment 35; Mac Act. 69/70; Problem Solve 25 |
M. II SAT-9 |
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| ุ Solve problems by finding patterns. |
4.1-4.4 4.6 4.11 4.14 |
Chapter 4.3 Problem Solving Strategy: Finding A Pattern, pp. 136-137 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 36; Reteaching 36; Enrichment 36; Mac Act. 71/72 |
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| ุ Determine whether one number is divisible by another. |
4.6 4.11 |
Chapter 4.4 Mental Math: Divisibility & Factors, pp. 138-139 |
Teacher observation | Practice 37; Reteaching 37; Enrichment 37; Mac Act. 73/74 |
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| ุ Identify prime & composite numbers that are relatively prime. Find the prime factorization of numbers. |
4.1-4.4 4.6 |
Chapter 4.5 Prime Factorization, pp. 140-141 |
Teacher observation | Practice 38; Reteaching 38; Enrichment 38; Mac Act. 75/76; Problem Solve 26; Technology 15 |
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| ุ Solve problems by making an organized list. |
4.1-4.4 4.6 4.11 |
Chapter 4.6 Problem Solving Strategy: Making An Organized List, pp. 142-143 |
Mid-chapter Quiz | Practice 39; Reteaching 39; Enrichment 39; Mac Act. 77/78; Problem Solve 27 |
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| ุ Identify & extend patterns. Relate numerical & geometric ideas. |
4.1-4.4 4.6 4.11 |
Chapter 4.7 Thinking Mathematically: Investigating Patterns, pp. 144-145 |
Student Feedback | Problem Solve 28; Critical Thinking 7 | M. III |
| ุ Find the greatest common factor of a set of numbers. |
4.1-4.4 4.6 |
Chapter 4.8 Greatest Common Factor, pp. 146-147 |
Practice 40; Reteaching 40; Enrichment 40; Mac Act. 79/80 |
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| ุ Write fractions in simplest form. Identify equivalent fractions. |
4.1-4.4 4.6 |
Chapter 4.9 Applying the Greatest Common Factor: Equivalent Fraction, pp. 148-149 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 41; Reteaching 41; Enrichment 41; Mac Act. 81/82; Centimeter cubes |
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| ุ Find the lowest common multiple of a set of numbers. |
4.1-4.4 4.6 |
Chapter 4.10 Least Common Multiple, pp. 150-151 |
Teacher observation |
Practice 42; Reteaching 42; Enrichment 42; Mac Act. 83/84; Problem Solve 29-31 |
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| ุ Make decisions about choosing a radio schedule. |
4.1-4.4 4.5 4.6 |
Chapter 4.11 Decision Making: Choosing A ฝ Hour Radio Schedule, pp. 152-153 |
Assess cooperative learning teams | Problem Solve 32; Critical Thinking 8; Calculator | |
| ุ Understand & use mnemonic devices. |
4.1-4.4 4.6 |
Chapter 4 Curriculum Connection: Science, p. 154 |
Science | Calculator | |
| ุ Analyze computer generated data. |
4.1-4.4 4.6 |
Chapter 4 Technology, p. 155 | Computer | ||
| ุ Review the concepts & skills presented in the chapter. | 4.1-4.4 | Chapter 4 Review, pp. 162-163 | Home Involvement 4 | ||
| ุ Assess students understanding of the concepts & skills presented in the chapter. | 4.1-4.4 | Chapter 4 Test, p. 164 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Answer grid | |
| ุ Verify Goldbachs conjecture for given numbers. | 4.1-4.4 | Chapter 4 Enrichment For All, p. 165 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 |
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| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter Cumulative Review, p. 166 | |||
| Unit 5 | Applying Operations: Fractions | ||||
| ุ Rename fractions as terminating or repeating decimals. |
4.1-4.4 4.6 4.8 |
Chapter 5.1 Fractions, Mixed Numbers, & Decimals, pp. 168-169 |
Practice 43; Reteaching 43; Enrichment 43; Mac Act. 85/86; Problem Solve 33 |
M. I SAT-9 |
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| ุ Compare & order fractions, mixed numbers & decimals. |
4.1-4.4 4.6 4.8 |
Chapter 5.2 Comparing Fractions & Decimals, pp. 170-171 |
Practice 44; Reteaching 44; Enrichment 44; Mac Act. 87/88; Problem Solve 34; Technology 16 |
M. I SAT-9 |
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| ุ Estimate sums & differences of fractions & mixed numbers. |
4.1-4.4 4.6 4.8 |
Chapter 5.3 Estimating Sums & Differences, pp. 172-173 |
Practice 45; Reteaching 45; Enrichment 45; Mac Act. 89/90 |
M. I | |
| ุ Add & subtract fractions & mixed numbers. |
4.1-4.4 4.6 4.8 |
Chapter 5.4 Adding & Subtracting Mixed Numbers, pp. 174-175 |
Practice 46; Reteaching 46; Enrichment 46; Mac Act. 91/92 |
M. I SAT-9 |
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| ุ Estimate products of fractions & mixed numbers. Multiply fractions & mixed numbers. |
4.1-4.4 4.6 4.8 |
Chapter 5.5 Multiplying Fractions & Mixed Numbers, pp. 176-177 |
Mid-chapter Quiz |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 47; Reteaching 47; Enrichment 47; Mac Act. 93/94; Problem Solve 35 |
M. I SAT-9 |
| ุ Solve problems that involve guessing, testing & revising. |
4.1-4.4 4.6 4.8 |
Chapter 5.6 Problem Solving Strategy: Guess, Test & Revise, pp. 178-179 |
Practice 48; Reteaching 48; Enrichment 48; Mac Act. 95/96; Problem Solve 36 |
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| ุ Use an organized list. Use logical thinking. |
4.1-4.4 4.6 4.8 |
Chapter 5.7 Thinking Mathematically: Applying Mathematics, pp. 180-181 |
Problem Solve 37; Critical Thinking 9 | ||
| ุ Estimate quotients of mixed numbers divided by mixed & whole numbers. Divide fractions & mixed numbers. |
4.1-4.4 4.6 4.8 |
Chapter 5.8 Dividing Fractions & Mixed Numbers, pp. 182-183 |
Practice 49; Reteaching 49; Enrichment 49; Mac Act. 97/98; Problem Solve 38 |
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| ุ Compute using mental math, paper/pencil or calculator, choosing to rewrite numbers as fractions, mixed numbers or decimals. |
4.1-4.4 4.6 4.8 |
Chapter 5.9 Computing With Fractions & Decimals, pp. 184-185 |
Practice 50; Reteaching 50; Enrichment 50; Mac Act. 99/100; Problem Solve 39 |
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| ุ Solve equations involving fractions & mixed numbers. |
4.1-4.4 4.6 4.8 |
Chapter 5.10 Solving Equations With Fractions, pp. 186-187 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 51; Reteaching 51; Enrichment 51; Mac Act. 101/102 |
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| ุ Convert customary units of measure. |
4.1-4.4 4.6 4.8 |
Chapter 5.11 Converting Customary Units of Measures, pp. 188-189 |
Practice 52; Reteaching 52; Enrichment 52; Mac Act. 103/104 |
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| ุ Find lengths using a scale drawing. |
4.1-4.4 4.6 4.8 |
Chapter 5.12 Scale Drawing, pp. 190-191 |
Practice 53; Reteaching 53; Enrichment 53; Mac Act. 105/106 |
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| ุ Solve problems by working backwards. |
4.1-4.4 4.6 4.8 |
Chapter 5.13 Problem Solving Strategy: Working Backwards, pp. 192-193 |
Practice 54; Reteaching 54; Enrichment 54; Mac Act. 107/108 |
M. IV | |
| ุ Make decisions about choosing a clothing store. |
4.1-4.4 4.5 4.6 4.8 |
Chapter 5.14 Decision Making: Choosing A Clothing Store, pp. 194-195 |
Assess cooperative learning teams | ||
| ุ Understand & use unit fractions as the Egyptians did. |
4.1-4.4 4.6 4.8 |
Chapter 5 Curriculum Connection: Social Studies, p. 196 |
Social Studies | ||
| ุ Use spreadsheets to organize data. |
4.1-4.4 4.6 4.8 |
Chapter 5 Technology: Computer Spreadsheet, p. 197 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 |
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| ุ Review the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 5 Review, pp. 204-205 | Home Involvement 5 | ||
| ุ Assess students understanding of the concepts & skills presented in the chapter. |
4.1-4.4 4.16 |
Chapter 5 Test, p. 206 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Answer grid | |
| ุ Simplify complex fractions. | 4.1-4.4 |
Chapter 5 Enrichment For All: Complex Fractions, p. 207 |
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| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter 5 Cumulative Review, p. 208 | |||
| Unit 6 | Geometry: Problem Solving | ||||
| ุ Recall basic geometric definitions & notations, including perpendicular & parallel lines. Identify congruent & similar figures & their corresponding parts. |
4.1-4.4 4.6 4.7 |
Chapter 6.1 Representing Plane Figures, pp. 210-213 |
Mac Act. 109/110 |
M. II SAT-9 |
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| ุ Measure & identify angles, including complimentary & supplementary angles. Construct angles congruent to given angles. |
4.1-4.4 4.6 4.7 |
Chapter 6.2 Measuring & Constructing, pp. 214-215 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 56; Reteaching 56; Enrichment 56; Mac Act. 111/112 |
M. II |
| ุ Construct perpendicular & angle bisectors. |
4.1-4.4 4.6 4.7 |
Chapter 6.3 Bisecting Line Segments & Angles, pp. 216-217 |
Teacher observation |
Practice 57; Reteaching 57; Enrichment 57; Mac Act. 113/114 |
M. II SAT-9 |
| ุ Identify vertical, adjacent & corresponding angles & their relationships. Construct perpendicular lines. |
4.1-4.4 4.6 4.7 |
Chapter 6.4 Lines & Angles, pp. 218-219 |
Teacher observation |
Practice 58; Reteaching 58; Enrichment 58; Mac Act. 115/116 |
M. II SAT-9 |
| ุ Classify triangles by their sides & angles. Find the measure of one angle given the measure of the other 2 angles. |
4.1-4.4 4.6 4.7 |
Chapter 6.5 Triangles, pp. 220-221 | Teacher observation |
Practice 59; Reteaching 59; Enrichment 59; Mac Act. 117/118 |
|
| ุ Identify & construct congruent triangles using SSS, SAS & ASA. |
4.1-4.4 4.6 4.7 |
Chapter 6.6 Constructing Congruent Triangles, pp. 222-223 |
Mid-chapter Quiz |
Practice 60; Reteaching 60; Enrichment 60; Mac Act. 119/120 |
M. II |
| ุ Solve problems by using diagrams. |
4.1-4.4 4.6 4.7 |
Chapter 6.7 Problem Solving: Drawing A Diagram, pp. 224-225 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 61; Reteaching 61; Enrichment 61; Mac Act. 121/122 |
|
| ุ Compute volumes. Make an organized list. |
4.1-4.4 4.6 4.7 |
Chapter 6.8 Thinking Mathematically, pp. 226-227 |
Teacher observation | Problem Solve 44, Critical Thinking 11 | M. II |
| ุ Recall the names of polygons. Find the sum of the measures of angles of polygons given the number of sides & vice versa. Find the number of diagonals in a polygon given the number of sides. |
4.1-4.4 4.6 4.7 |
Chapter 6.9 Polygons, pp. 228-229 | Teacher observation |
Practice 62; Reteaching 62; Enrichment 62; Mac Act. 123/124 |
M. II |
| ุ Identify & draw reflections & translations. |
4.1-4.4 4.6 4.7 |
Chapter 6.10 Reflections & Translations, pp. 230-231 |
Teacher observation |
Practice 63; Reteaching 63; Enrichment 63; Mac Act. 125/126 |
M. II |
| ุ Identify & draw reflections & translations. |
4.1-4.4 4.6 4.7 |
Chapter 6.11 Rotations, pp. 232-233 | Teacher observation |
Practice 64; Reteaching 64; Enrichment 64; Mac Act. 127/128 |
|
| ุ Solve problems by using spatial thinking. |
4.1-4.4 4.6 4.7 |
Chapter 6.12 Problem Solving Using Spatial Thinking, pp. 234-35 |
Practice 65; Reteaching 65; Enrichment 65; Mac Act. 129/130 |
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| ุ Make decisions about choosing a trade show to sell cards. |
4.1-4.4 4.6 4.7 |
Chapter 6.13 Decision Making, pp. 236-237 |
Assess cooperative learning teams |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 |
|
| ุ Understand & use perspective in drawings. |
4.1-4.4 4.6 4.7 |
Chapter 6 Curriculum Connection, p. 238 |
Art | Art books | |
| ุ Study how a computer can tessellate shapes. |
4.1-4.4 4.6 4.7 |
Chapter 6 Technology: Computer, p. 239 |
Technology 5; Dot paper | ||
| ุ Review the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 6 Review, pp. 246-247 | Home Involvement 6 | ||
| ุ Assess students understanding of the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 6 Test, p. 248 |
Test Forms A/B Multiple Choice Test Form C- Free Response |
Answer grid | |
| ุ Investigate a Mobius strip. |
4.1-4.4 4.6 |
Chapter 6 Enrichment For All, p. 249 | Rulers, scissors, tape | ||
| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter 6 Cumulative Review, p. 250 | |||
| Unit 7 | Ratio, Proportion & Percent | ||||
| ุ Interpret data & formulate problems related to a real-life situation. | 4.1-4.4 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 |
|||
| ุ Write & identify ratios in 3 ways. |
4.1-4.4 4.6 |
Chapter 7.1 Equal Ratios, pp. 252-253 |
Practice 66; Reteaching 66; Enrichment 66; Mac Act. 131/132 |
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| ุ Find equivalent rates by scaling up & down mentally. |
4.1-4.4 4.6 |
Chapter 7.2 Mental Math: Equivalent Rates, pp. 254-255 |
Practice 67; Reteaching 67; Enrichment 67; Mac Act. 133/134 |
||
| ุ Solve proportions mentally using paper/pencil or a calculator. Write proportions to solve problems. |
4.1-4.4 4.6 |
Chapter 7.3 Solving Proportions, pp. 256-257 |
Practice 68; Reteaching 68; Enrichment 68; Mac Act. 135/136 |
M. II | |
| ุ Find actual/scale lengths given the corresponding lengths in scale drawings. Find missing lengths given pairs of similar triangles. |
4.1-4.4 4.6 |
Chapter 7.4 Scale Drawings & Similar Triangles, pp. 258-259 |
Practice 69; Reteaching 69; Enrichment 69; Mac Act. 137/138 |
||
| ุ Solve problems by writing & solving algebraic sentences. |
4.1-4.4 4.6 |
Chapter 7.5 Problem Solving: Writing & Solving An Algebraic Sentence, pp. 260-261 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 70; Reteaching 70; Enrichment 70; Mac Act. 139/140 |
M. V | |
| ุ Use visual reasoning. Make a model. Compute areas of triangles & rectangles. |
4.1-4.4 4.6 |
Chapter 7.6 Thinking Mathematically, pp. 262-263 |
Mid-chapter Quiz | Problem Solve 52; Critical Thinking 13; Teacher Aid 10 | M. II |
| ุ Find tangent ratios. Use tangent ratios to find the measures of angles or the lengths of sides in right triangles. |
4.1-4.4 4.6 |
Chapter 7.7 The Tangent Ratio, pp. 264-265 |
Practice 71; Reteaching 71; Enrichment 71; Mac Act. 141/142 |
M. I | |
| ุ Solve problems by drawing diagrams. |
4.1-4.4 4.6 |
Chapter 7.8 Problem Solving: Drawing A Diagram, pp. 266-267 |
Practice 72; Reteaching 72; Enrichment 72; Mac Act. 143/144 |
||
| ุ Estimate what percent of a figure is shaded. Rename decimals & fractions as percents & vice versa. |
4.1-4.4 4.6 |
Chapter 7.9 Percents, Fractions & Decimals, pp. 268-269 |
Practice 73; Reteaching 73; Enrichment 73; Mac Act. 145/146 |
||
| ุ Rename fractions as decimal percents. Rename decimals as mixed-number percents. Rename mixed-number percents as fractions. |
4.1-4.4 4.6 |
Chapter 7.10 Percents & Fractions, pp. 270-271 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 74; Reteaching 74; Enrichment 74; Mac Act. 147/148 |
M. I | |
| ุ Rename percents less than 1% & greater than 100% as decimals or fractions & vice versa. |
4.1-4.4 4.6 |
Chapter 7.11 Percents Greater Than 100, Less Than 1, pp. 272-273 |
Practice 75; Reteaching 75; Enrichment 75; Mac Act. 149/150 |
M. I | |
| ุ Make decisions about choosing a place for the school dance. |
4.1-4.4 4.6 |
Chapter 7.12 Decision Making, pp. 274-275 |
Assess cooperative learning teams | Problem Solve 56; Critical Thinking 14; Calculator | |
| ุ Understand the ratios used in a major chord. |
4.1-4.4 4.6 |
Chapter 7 Curriculum Connection: Music, p. 276 |
Music | Rubber bands; instruments | |
| ุ Use calculations to compute with the tangent. |
4.1-4.4 4.5 4.6 |
Chapter 7 Technology: Computer, p. 277 |
Technology 18 | ||
| ุ Review the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter Review, pp. 284-285 | Home Involvement 7 | ||
| ุ Assess students understanding of the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 7 Test, p. 286 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Answer grid |
|
| ุ Find the sine & cosine of a given angle. |
4.1-4.4 4.6 |
Chapter 7 Enrichment: Sine & Cosine Ratios, p. 287 |
|||
| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter 7 Cumulative Review, p. 288 | |||
| Unit 8 | Applications With Percent | ||||
| ุ Explore finding a percent of a number using grids. |
4.1-4.4 4.6 |
Chapter 8.1 Finding Percent Using A Model, p. 290 |
Problem Solve 57; Teacher Aid 10 | M. I | |
| ุ Find percents of numbers mentally. |
4.1-4.4 4.6 |
Chapter 8.2 Mental Math: Percent Of A Number, p. 292 |
Practice 76; Reteaching 76; Enrichment 76; Mac Act. 151/152 |
M. I | |
| ุ Find percents of numbers using equations & proportions. |
4.1-4.4 4.6 |
Chapter 8.3 Percent Of A Number, p. 294 |
Practice 77; Reteaching 77; Enrichment 77; Mac Act. 153/155; Problem Solve 58 |
M. I | |
| ุ Find what percent one number is of another mentally, by equations or by proportions. |
4.1-4.4 4.6 |
Chapter 8.4 Percent One Number Is Of Another, p. 296 |
Practice 78; Reteaching 78; Enrichment 78; Mac Act. 155/156 |
M. I | |
| ุ Given a percent of a number, find the total number mentally by equations or by proportions. |
4.1-4.4 4.6 |
Chapter 8.5 Finding The Total Number, p. 298 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 79; Reteaching 79; Enrichment 79; Mac Act. 157/158 |
M. I | |
| ุ Estimate to find percents of numbers & total numbers. |
4.1-4.4 4.6 |
Chapter 8.6 Estimating With Percents, p. 300 |
Mid-chapter Quiz |
Practice 80; Reteaching 80; Enrichment 80; Mac Act. 159/160 |
M. I |
| ุ Solve problems by using simpler problems. |
4.1-4.4 4.6 |
Chapter 8.7 Problem Solving: Solving A Simpler Problem, p. 302 |
Student oral feedback |
Practice 81; Reteaching 81; Enrichment 81; Mac Act. 161/162; Problem Solve 59/60 |
M. I |
| ุ Compute discounts & taxes. Investigate patterns. Display data in a graph. |
4.1-4.4 4.6 |
Chapter 8.8 Thinking Mathematically, p. 304 |
Teacher observation | Critical Thinking 15 | M. I |
| ุ Find percents of increase & decrease. |
4.1-4.4 4.6 |
Chapter 8.9 Percent of Increase or Decrease, pp. 306-307 |
Teacher observation |
Practice 82; Reteaching 82; Enrichment 82; Mac Act. 163/164 |
M. I |
| ุ Find sale prices, regular prices & discount rates. |
4.1-4.4 4.6 |
Chapter 8.10 Applying Percent Discount & Sale Price, pp. 308-309 |
Teacher observation |
Practice 83; Reteaching 83; Enrichment 83; Mac Act. 165/166; Technology 19; Problem Solve 61 |
M. I |
| ุ Find commissions, total pay & rates of commission. |
4.1-4.4 4.6 |
Chapter 8.11 Applying Percent: Commission, pp. 310-311 |
Teacher observation |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 84; Reteaching 84; Enrichment 84; Mac Act. 167/168; Sandpaper |
M. I |
| ุ Find amounts of simple interest & total amounts to be repaid. |
4.1-4.4 4.6 |
Chapter 8.12 Applying Percent: Simple Interest, pp. 312-313 |
Teacher observation |
Practice 85; Reteaching 85; Enrichment 85; Mac Act. 169/170 |
M. I |
| ุ Make & interpret circle graphs from collected data. | 4.1-4.4 |
Chapter 8.13 Interpreting & Making Circle Graphs, pp. 314-315 |
Teacher observation |
Practice 86; Reteaching 86; Enrichment 86; Mac Act. 171/172; Compass; Protractor |
M. IV |
| ุ Solve problems by using a formula that involves percents. |
4.1-4.4 4.6 |
Chapter 8.14 Problem Solving: Using A Formula, pp. 316-317 |
Life Skills |
Practice 87; Reteaching 87; Enrichment 87; Mac Act. 173/174; Problem Solve 62 |
|
| ุ Make a decision about what computer to buy. |
4.1-4.4 4.5 4.6 |
Chapter 8.15 Decision Making, pp. 318-319 |
Assess cooperative learning teams | Problem Solve 63; Critical Thinking 16 | |
| ุ Understand & use the consumer price index (CPI). |
4.1-4.4 4.6 |
Chapter 8 Curriculum Connection: Social Studies, p. 320 |
Social Studies | Calculator | |
| ุ Use spreadsheets to organize data. |
4.1-4.4 4.6 |
Chapter 8 Technology: Computer, p. 321 |
Life Skills |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Computers; Technology 6 |
M. IV |
| ุ Review the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter Review, pp. 328-329 | Home Involvement 8 | ||
| ุ Assess students understanding of the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 8 Test, p. 330 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Answer grid | |
| ุ Find the new balance including the compound interest using a table. |
4.1-4.4
|
Chapter 8 Enrichment For All: Compound Interest, p. 331 |
Calculator | ||
| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter 8 Cumulative Review, p. 332 | Answer Grids | ||
| Unit 9 | Statistics | ||||
| ุ Use percent to interpret survey results. Conduct a survey & display results. |
4.1-4.4 4.6 |
Chapter 9.1 Collecting Data: Making A Survey, pp. 334-335 |
Practice 88; Reteaching 88; Enrichment 88; Mac Act. 175/176; Graph paper |
M. IV | |
| ุ Interpret histograms. Make histograms from given & collected data. |
4.1-4.4 4.6 |
Chapter 9.2 Histograms, pp. 336-337 |
Practice 89; Reteaching 89; Enrichment 89; Mac Act. 177/178; Graph paper; straightedge |
M. IV | |
| ุ Interpret stem & leaf plots. Make stem & leaf plots from given data. |
4.1-4.4 4.6 |
Chapter 9.3 Stem & Leaf Plots, pp. 338-339 |
Mathematics in Action, MacMillan/McGraw Hill, Copyright 1992 Practice 90; Reteaching 90; Enrichment 90; Mac Act. 179/180; graph paper |
M. IV | |
| ุ Interpret box & whisker plots. Make box & whisker plots from given data. |
4.1-4.4 4.6 |
Chapter 9.4 Box & Whisker Plots, pp. 340-341 |
Practice 91; Reteaching 91; Enrichment 91; Mac Act. 181/182; graph paper |
M. IV | |
| ุ Choose the appropriate method to display. |
4.1-4.4 4.6 |
Chapter 9.5 Best Representation of Data, pp. 342-343 |
Practice 92; Reteaching 92; Enrichment 92; Mac Act. 183/184; graph paper; newspaper; compass; protractors |
M. IV | |
| Solve problems by using tables. | 4.1-4.4 |
Chapter 9.6 Problem Solving: Making A Table, pp. 344-345 |
Mid-chapter Quiz |
Practice 93; Reteaching 93; Enrichment 93; Mac Act. 185/186 |
M. IV |
| ุ Use visual reasoning. Investigate patterns. Use a formula. |
4.1-4.4 4.6 |
Chapter 9.7 Thinking Mathematically, pp. 346-347 |
Problem Solve 65; Critical Thinking 17; Teacher Aids 10, 12, 14 | M. IV | |
| ุ Interpret scattergrams. Make scattergrams from given data. |
4.1-4.4 4.6 |
Chapter 9.8 Scattergrams, pp. 348-349 | Practice 94; Reteaching 94; Enrich.; Mac Act. 187/188; Problem Solve 66; Tech. 20; graph paper | M. IV | |
| ุ Identify misleading statements based on true statistics. |
4.1-4.4 4.6 |
Chapter 9.9 Misleading Statistics, pp. 350-351 |
M. IV | ||
| ุ Solve problems that involve the strategies presented to date. |
4.1-4.4 4.6 |
Chapter 9.10 Problem Solving: Strategies Review, pp. 353-353 |
Practice 95; Reteaching 95; Enrichment 95; Mac Act. 189/190 |
||
| ุ Make a decision about what to sell at the school bazaar. |
4.1-4.4 4.5 4.6 |
Chapter 9.11 Decision Making, pp. 354-355 |
Assess cooperative learning teams | Practice 96; Reteaching 96; Enrichment 96; Mac Act. 191/192; Problem Solve 67; calculator |
|
| ุ Understand & use growth statistics. |
4.1-4.4 4.5 |
Chapter 9 Curriculum Connection: Social Studies, p. 356 |
Social Studies | Problem Solve 68; Critical Thinking 18 | |
| ุ Study computer graphics. |
4.1-4.4 4.5 4.6 |
Chapter 9 Technology: Computer, p. 357 |
Graph paper, straightedge; Technology 7 | ||
| ุ Review the concepts & skills presented in the chapter. | 4.1-4.16 | Chapter 9 Review, pp. 364-365 | Home Involvement 9 | ||
| ุ Assess students understanding of the concepts & skills presented in the chapter. |
4.1-4.16
|
Chapter 9 Test, p. 366 |
Test Forms A/B Multiple Choice Test Form C Free Response |
Answer grid | |
| ุ Interpret normal distribution curves. |
Chapter 9 Enrichment For All: Normal Curve, p. 367 |
||||
| ุ Review & maintain previously learned skills & concepts. | 4.1-4.16 | Chapter 9 Cumulative Review, p. 368 | |||
| Unit 10 | Measurement: Surface Area & Volume | ||||
| ุ Identify & draw models, patterns & cross sections of prisms & pyramids. |
4.1-4.4 4.6 4.7 |
Chapter 10.1 Spatial Visualization, p. 370 |
Student oral feedback | Practice 97; Reteaching 97; Enrichment 97; Mac Act. 193/194; Problem Solve 69; isometric dot paper |
M. II |
| ุ Find the surface areas of prisms & pyramids. |
4.1-4.4 4.6 4.7 |
Chapter 10.2 Surface Area: Prisms & Pyramids, p. 374 |
Student oral feedback | Practice 98; Reteaching 98; Enrichment 98; Mac Act. 195/196; graph paper |
M. II
|
| ุ Find the surface of cylinders. |
4.1-4.4 4.6 4.7 |
Chapter 10.3 Surface Area: Cylinders, pp. 376-377 |
Student oral feedback | Practice 99; Reteaching 99; Enrichment 99; Mac Act. 197/198; graph paper |
M. II |
| ุ Solve problems using different strategies. |
4.1-4.4 4.6 4.7 |
Chapter 10.4 Problem Solving: Using Different Strategies, pp. 378-379 |
Student oral feedback | Practice 100; Reteaching 100; Enrichment 100; Mac Act. 199/200; Problem Solve 70 |
M. II |
| ุ Compute & compare areas & volumes. Graph data. |
4.14-4.4 4.6 4.7 |
Chapter 10.5 Thinking Mathematically, p.. 380-381 |
Mid-chapter Quiz | Critical Thinking 19; newspapers; magazines | |
| ุ Find the surface areas of cones. |
4.1-4.4 4.6 4.7 |
Chapter 10.6 Surface Area: Cones, pp. 382-283 |
Student oral feedback |
Practice 101; Reteaching 101; Enrichment 101; Mac Act. 201/202; scissors; tape |
|
| ุ Find the volumes of cylinders. |
4.1-4.4 4.6 4.7 |
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