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Math Curriculum Guide |
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Objectives |
Core Curr. |
Instructional |
Assessment |
Resources |
GEPA |
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UNIT 1 Read, write, compare & order numbers to billions. |
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Understanding Numbers Graph Paper Remediation Activity, TM p. 24 |
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| Round whole numbers & money amounts. |
4.6 4.8 |
Chapter 1, Lesson 8 |
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| Interpret & display data from a table, frequency table, or line
graph. |
4.11 4.12 |
Chapter 1, Lesson 11 Making Line Graphs, TM pp. 32-33 |
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| Locate & name ordered pairs on a coordinate grid. |
4.7 |
Chapter 1, Lesson 9 Point Counterpoint, TM p. 29a MacActivity 15 |
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| Solve problems that involve using number sense. | 4.6 | Chapter 1, Lesson 12 - Cooperative Learning Tip, TM p. 34 Special Education: - Number chart, peer tutor, cooperative learning, calculator, computer graph program, problem solve checklist. |
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UNIT 2 Estimate 3 to 6-digit sums & differences, including money. |
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Using Addition & Subtraction Totally Estimated What’s the Difference, TM p. 57a |
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| Add & subtract 5-digit numbers including money. | 4.8 | Chapter 2, Lessons 5 & 7 Teach Activity, TM pp. 60, 64 |
Counters & calculators |
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| Estimate & measure length using metric units. |
4.9 4.10 |
Chapter 2, Lesson 10 Cooperative Learning Tip, TM p. 70 |
Counters & calculators |
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| Find elapsed time. | 4.9 | Chapter 2, Lesson 12 MacActivity 43, TM p. 75a |
Counters & calculators |
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| Solve problems that involve choosing the correct operation & extra information. | 4.4 | Chapter 2, Lesson 13 Cooperative Learning Tip, TM p. 76 Special Education: - Peer tutor, cooperative learning, calculator, computer simulation, checklist. |
Counters & calculators |
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UNIT 3 Read, write & find equivalent decimals to thousandths. |
4.6 |
Adding & Subtracting
Decimals Chapter 3, Lesson 2 MacActivity 50, TM p. 97a |
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| Compare, order & round decimals to thousandths. | 4.6 | Chapter 3, Lesson 3, Use Common Error & Remediation Act., TM p. 98, Chapter 3, Lesson 4, use metric measuring tape, see step 2 "Teach", TM p. 100 |
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UNIT 3 Estimate sums & differences of decimals. |
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Adding & Subtracting Decimals Chapter 3, Lesson 5 MacActivity 56, TM p. 103a |
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| Add & subtract decimals, including money. |
4.8 4.13 |
Chapter 3, Lesson 6 Enrichment - Decimal Triangles, TM p. 105b, MacActivity 65 In the League, TM p. 115a |
Metric measuring tape |
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| Interpret & display data on a bar graph. |
4.12 |
Chapter 3, Lesson 13 Interpreting Bar Graphs, TM pp. 118-119 |
Metric measuring tape |
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| Solve problems including writing & solving number sentences &
estimation. |
4.1 4.3 4.4 |
Chapter 3, Lesson 12, TM pp. 116-117 Special Education: - Peer tutor, cooperative learning, manipulatives, enlarge materials, calculator, computer program. |
Metric measuring tape | ||
| UNIT 4 Multiply multiples of 10, 100 & 1,000. |
4.5 4.8 |
Multiplying Whole Numbers Chapter 4, Lesson 3 Mental Math: Using Multiplication Patterns, TM p. 142 |
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UNIT 4 Estimate products. |
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Multiplying Whole Numbers MacActivity 79, TM p. 145a |
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| Multiply numbers by 1, 2 & 3-digit
factors. |
4.11 |
Chapter 4, Lesson 10 Common Error & Remediation Activity, TM p. 156 |
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| Find perimeter & area of rectangular figures & approximate
circumference of circles. |
4.7 |
MacActivity 95, TM p. 163a Chapter 4, Lesson 14, TM p. 165 Alternative Strategy Activity |
Calculator |
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| Solve problems that involve finding needed information &
multi-step solutions. |
4.13 |
Chapter 4, Lesson 11 Solving a Multi-step Problem, TM p. 158 Special Education: - Peer tutor, cooperative learning, calculator, multiplication tables chart, computer reinforcement. |
Calculator | ||
| UNIT 5 Divide multiples of 10 to 10,000. |
4.8 4.11 |
Dividing Whole Numbers by 1-Digit Divisors Chapter 5, Lesson 3 Mental Math: Using Division Patterns, TM p. 186 |
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UNIT 5 Divide by 1-digit divisors. |
4.8 |
Dividing Whole Numbers by 1-Digit Divisors Chapter 5, Lesson 6 MacActivity 107, TM p. 193a |
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| Estimate quotients of 1-digit divisors. |
4.1 4.5 4.8 |
Chapter 5, Lesson 4 Estimating Quotients, TM p. 188 |
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| Display & interpret data in a pictograph. |
4.2 |
Chapter 5, Lesson 10 Cooperative Learning Activity, TM p. 200 |
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| Find mean, median mode & range. |
4.12 |
Earthworm Activity |
Appendix | ||
| Solve problems that involve overestimating/ underestimating &
guessing, testing & revising. |
4.1 4.3 4.5 4.9 4.10 4.14 |
Estimation Guess & Test Writing Mathematics Cubed Special Education: - Peer tutor, cooperative learning, enlarge materials, priority seating, calculators, computer reinforcement, problem solving checklist. |
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| UNIT 6 Divide by multiples of 10. |
4.8 4.11 |
Dividing Whole Numbers by 2-Digit Divisors Chapter 6, Lesson 2 Estimating Quotients, TM p. 224 |
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| Divide by 2-digit divisors. | 4.8 | Chapter 6, Lesson 4 Understanding a Concept, TM p.228 |
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UNIT 6 Estimate quotients of 2-digit divisors. |
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Dividing Whole Numbers by 2-Digit Divisors Changing Estimates, TM p. 230 |
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| Choose & convert appropriate measures of time. |
4.9 4.10 |
Chapter 6, Lesson 10 Changing Measures of Time, TM p. 240 |
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| Find volume using metric measures. |
4.9 4.10 |
Chapter 6, Lesson 12 Volume: Folding Fun, TM p. 245b |
Grading of paper |
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| Solve problems that involve looking for a pattern & the correct
operation. |
4.8 4.11 4.16 |
Chapter 6, Lesson 11 Calendar Magic, TM p. 243b Special Education: - Peer tutor, cooperative learning, calculator, checklist, computer reinforcement. |
Grading of paper | ||
| UNIT 7 Multiply & divide decimals by 10, 100 or 1,000. |
4.8 4.11 |
Multiplying & Dividing Decimals Chapter 7, Lesson 1 Mental Math: Multiply & Divide Decimals, TM p. 264 |
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| Estimate products for decimal factors. |
4.1 4.5 4.8 |
Chapter 7, Lesson 2 Ranging Decimals MacActivity 145, TM p. 267a |
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| Multiply decimals by whole numbers. | 4.8 | Chapter 7, Lesson 4 Prepare & Teach Activities, TM p. 270 |
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UNIT 7 Divide decimals by whole numbers. |
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Multiplying & Dividing Decimals Chapter 7, Lesson 10 Crack the Code MacActivity 156, TM p. 283a |
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| Estimate & measure metric capacity & mass. |
4.9 4.10 |
Chapter 7, Lesson 14 Alternative Strategy for Reteaching, TM p. 291 |
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| Solve problems that involve working backward & making a table. |
4.1 4.3 4.4 |
Chapter 7, Lessons 6 & 13 Banking On It MacActivity 153, TM p. 275a Consumer Beware Enrichment 81, TM p. 289b Special Education: - Peer tutor, cooperative learning, calculator. |
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| UNIT 8 Identify lines, segments & rays. |
4.7 |
Geometry Chapter 8, Lesson 1 Geometry Around Us, TM p. 310 |
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| Classify plane figures. | 4.7 | Chapter 8, Lesson 4 Folding Fun Enrichment 87, TM p. 317b |
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UNIT 8 Classify, draw & measure angles. |
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Geometry Chapter 8, Lesson 3 Geometry Classes MacActivity 171, TM p. 315a |
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| Transform plane figures. |
4.7 |
Chapter 8, Lesson 9 Slides, Flips, Turns, TM p. 326 |
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| Identify congruent, symmetrical & similar figures. |
4.7 |
Chapter 8, Lessons 10 & 11 Congruent Concentration MacActivity 184, TM p. 329a Similar or Congruent MacActivity 186, TM 331a |
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| Classify space figures. |
4.7 |
Chapter 8, Lesson 13 Edges, Faces & Vertices Enrichment 95, TM p. 335b |
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| Solve problems that include making a diagram. |
4.1 4.2 4.7 |
Chapter 8, Lesson 6 Treasure Hunt MacActivity 177, TM p. 321a Special Education: - Peer tutor, cooperative learning, manipulatives, priority seating, chart with examples for reference, computer simulation. |
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UNIT 9 Read, write, simplify or find equivalent fractions. |
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Understanding Fractions & Mixed Numbers Chapter 9, Lesson 2 Developing A Concept: Equivalent Fractions TM p. 354 |
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| Read, write, round & rename mixed numbers. |
4.6 |
Chapter 9, Lesson 5 & 7 Mixed Numbers TM p. 360 Mixed Number Bingo MacActivity 202, TM p. 365a |
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| Find G.C.F. or L.C.M. |
4.6 4.11 |
Chapter 9, Lessons 3 & 10 Making Arrangements MacActivity 195, TM p. 357a Alternative Strategy, TM p. 371 |
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| Compare & order fractions & mixed numbers. |
4.4 4.6 |
Chapter 9, Lesson 11 Dare to Compare MacActivity 207, TM p. 373a |
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| Estimate & measure length in customary units. |
4.9 |
Chapter 9, Lesson 14 Alternative Strategy, TM p. 379 |
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| Solve problems that involve making an organized list & interpreting the quotient & remainder. |
4.1 4.2 4.6 |
Chapter 9, Lessons 8 & 12, TM pp. 366, 374 Special Education: - Peer tutor, cooperative learning, calculators, manipulatives, problem solve checklist, computer reinforcement. |
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UNIT 10 Add fractions with like & unlike denominators. |
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Adding & Subtracting Fractions Chapter 10, Lesson 3 Can You Beat That? MacActivity 218, TM p. 401a |
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| Subtract fractions with like & unlike denominators. |
4.8 |
Chapter 10, Lesson 5 Developing A Concept, TM pp. 404-405 |
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| Estimate sums & differences of mixed numbers. |
4.10 |
Chapter 10, Lesson 7 Prepare & Teach, TM p. 408 |
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| Add mixed numbers with like & unlike denominators. |
4.8 |
Chapter 10, Lesson 10 Understanding A Concept, TM p. 414 |
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| Subtract mixed numbers with like & unlike denominators. |
4.8 |
Chapter 10, Lesson 13 Renaming to Subtract Mixed Numbers, TM p. 420 |
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| Solve problems that include number sense & using similar problems. |
4.1 4.2 4.6 |
Chapter 10, Lesson 11 Management Tip, TM p. 416 Special Education: - Peer tutor, cooperative learning, calculators, computer reinforcement, problem solving checklist. |
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UNIT 11 Multiply fractions. |
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Multiplying & Dividing Fractions Chapter 11, Lesson 1 Exploring A Concept: Prepare & Teach, TM p. 440 |
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| Multiply whole numbers & fractions. |
4.8 |
Chapter 11, Lesson 3 Quick Draw Products MacActivity 240, TM p. 445a |
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| Divide whole numbers by fractions. |
4.8 |
Chapter 11, Lesson 4 Exploring A Concept, TM pp. 446 |
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| Find the area of triangles & parallelograms. |
4.7 4.9 |
Chapter 11, Lessons 8 & 9 Developing A Concept, TM p. 454, 456 |
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| Estimate & measure the capacity or weight of an object in
customary units. |
4.9 4.10 |
Chapter 11, Lesson 11 Measuring Customary Capacity & Weight, TM p. 460 |
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| Estimate & measure temperature in °C or °F. |
4.9 4.10 |
Chapter 11, Lesson 13 Temperature, TM p. 464 |
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| Solve problems that include using different strategies & simpler, similar problems. |
4.1 4.2 4.4 4.6 |
Chapter 11, Lesson 10 Cooperative Learning, TM p. 458 Special Education: - Peer tutor, cooperative learning, calculators, computer reinforcement, velcro boards/magnetic boards, manipulatives. |
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UNIT 12 Read & write ratio to compare two different quantities. |
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Ratio & Probability Chapter 12, Lesson 1 Understanding A Concept: Ratios, TM p. 482 |
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Determine if two ratios are equal & find the missing term. |
4.8 4.13 |
Chapter 12, Lesson 2 Ratio Draw MacActivity 259, TM p. 485a |
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Use & interpret scale drawings.
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4.7 |
Chapter 12, Lesson 3 Cooperative Learning, TM p. 486 |
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Find the probability of events. |
4.12 |
Chapter 12, Lesson 7 Developing A Concept: Probability, TM p. 494 |
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Predict outcomes based on theoretical or empirical probability. |
4.12 |
Chapter 12, Lessons 9 & 10 Spinner’s Luck, TM p. 498 Developing A Concept: Predicting Outcomes, TM p. 500 |
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| Solve problems that include conducting an experiment. |
4.2 4.3 |
Chapter 12, Lesson 5 Problem Solving Management Tip, TM p. 490 Special Education: - Peer tutor, cooperative learning, calculator, problem checklist, tape record responses, computer reinforcement. |
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UNIT Recognize function rules to find outputs for given inputs. |
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| Identify the properties of addition. |
4.8 4.13 |
Chapter 2, Lesson 1 MacActivity 23, TM p. 53a |
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| Learn order of operations. |
4.8 4.13 |
Chapter 2, Lesson 9 Aims & Attitudes, TM p. 69 |
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| Identify the properties of multiplication. |
4.13 |
Chapter 4, Lesson 1 MacActivity 74, TM p. 139a |
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| Identify mathematical patterns. |
4.11 |
Chapter 4, Lesson 8, TM p.152 Chapter 5, Lesson 7, TM pp. 194-195 |
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| Use the memory & memory recall keys on a calculator. |
4.5 |
Chapter 7, Lesson 8 Applying Mathematics, TM p. 278 |
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| Use visual reasoning. |
4.14 |
Chapter 8, Lesson 7 Going Around in Circles, TM pp. 322-323 |
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| Use logical reasoning. |
4.4 4.13 |
Chapter 9, Lesson 9 Some Weighty Problems, TM pp. 368-369 Special Education: - Peer tutor, cooperative learning, manipulatives, problem checklists, computer reinforcement, charts for reinforcement, tape record responses. |
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UNIT Use visual reasoning using physical models. |
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| Explore consumer math. |
4.3 4.14 |
Chapter 11 - Math & the Consumer, TM p. 468 Special Education: - Peer tutor, cooperative learning, manipulatives, problem checklists, computer reinforcement, charts for reinforcement, tape record responses. |
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