Table of Contents Letter to the Student................................... 5 Letter to the Family.................................... 6 Mississippi Correlation Chart............................ 7 Mississippi Competencies, Objectives, and Depth of Knowledge (DOK) Chapter 1 Number and Operations..................... 11 Lesson 1 Whole Numbers................... 12 1b (DOK 1) Lesson 2 Decimals......................... 18 1b (DOK 1) Lesson 3 Factors, Multiples, and Prime and Composite Numbers............... 25 1c, 1d (DOK 1) Lesson 4 Fractions........................ 31 1e (DOK 1) Lesson 5 Compare and Order Whole Numbers, Decimals, and Fractions............ 39 1a (DOK 1) Lesson 6 Add and Subtract Decimals.......... 46 1f (DOK 1) Lesson 7 Multiply Whole Numbers and Decimals..................... 52 1f (DOK 1) Lesson 8 Divide Whole Numbers and Decimals..................... 59 1f (DOK 1) Lesson 9 Add Fractions and Mixed Numbers... 65 1f (DOK 1) Lesson 10 Subtract Fractions................. 70 1f (DOK 1) Lesson 11 Multiply and Divide Fractions and Mixed Numbers................ 75 1f (DOK 1) Lesson 12 Estimating to Solve Problems........ 82 1g (DOK 2) Chapter 1 MCT2 Review................... 88 Chapter 2 Algebra................................... 93 Lesson 13 Properties of Addition and Multiplication.................. 94 2c (DOK 2) Lesson 14 Finding the Rule for a Function Table.. 101 2b (DOK 2) Lesson 15 Equations....................... 106 2a, 2d (DOK 2) Duplicating any part of this book is prohibited by law. 3
Mississippi MCT2 Coach, Gold Edition, Mathematics, Grade 5 Lesson 16 Inequalities...................... 111 2a, 2d (DOK 2) Chapter 2 MCT2 Review.................. 115 Chapter 3 Geometry................................ 119 Lesson 17 Two-Dimensional Figures........... 120 3d (DOK 3) Lesson 18 Symmetry....................... 128 3a (DOK 2) Lesson 19 Congruency and Transformations.... 133 3c, 3d (DOK 2, 3) Lesson 20 Three-Dimensional Figures......... 141 3d (DOK 3) Lesson 21 Ordered Pairs.................... 147 3b, 3e (DOK 1, 2) Chapter 3 MCT2 Review.................. 152 Chapter 4 Measurement............................. 157 Lesson 22 Length......................... 158 4a, 4b (DOK 2) Lesson 23 Weight, Mass, and Capacity........ 165 4b, 4d (DOK 1) Lesson 24 Temperature..................... 172 4d (DOK 1) Lesson 25 Perimeter....................... 177 4c (DOK 2) Lesson 26 Area........................... 182 4c (DOK 2) Chapter 4 MCT2 Review.................. 187 Chapter 5 Data Analysis & Probability................. 191 Lesson 27 Measures of Central Tendency...... 192 5a (DOK 2) Lesson 28 Box-and-Whisker Plots and Line Graphs..................... 198 5b (DOK 2) Lesson 29 Stem-and-Leaf Plots.............. 205 5b (DOK 2) Lesson 30 Frequency Tables and Histograms... 209 5b (DOK 2) Chapter 5 MCT2 Review.................. 216 Glossary........................................... 220 4 Duplicating any part of this book is prohibited by law.
14 Finding the Rule for a Function Table 2b (DOK 2) Getting the Idea The function table below gives input numbers that change to output numbers by following a rule. 5 10 7 14 9 18 12 24 The rule for the function table above is Multiply by 2. EXAMPLE 1 What is the rule for the function table? 2 14 3 15 6 18 8 20 STRATEGY STEP 1 Find how the numbers are related. Each output number is greater than the input number, so use addition or multiplication. Look for a number that can be added to or multiplied by the input to get the output number each time. The rule does not appear to use multiplication because 2 7 14, but 3 7 21, not 15. STEP 2 Try addition. What number can be added to 2 to get 14? You can add 12. Try adding 12 to each input number. Duplicating any part of this book is prohibited by law. 101
Mississippi MCT2 Coach, Gold Edition, Mathematics, Grade 5 2 12 14 3 12 15 6 12 18 8 12 20 The rule Add 12 gives the correct outputs. SOLUTION The rule for the function table is Add 12 to the input number. EXAMPLE 2 What is the missing number? x y 9 1 10 2 13 5 17 9 22? STRATEGY STEP 1 Find the rule. Find how the numbers are related. Each y-value is less than the x-value so use subtraction or division. Write a number sentence for each pair of x and y numbers. Find the rule that makes each sentence true. 9 8 1 10 8 2 13 8 5 17 8 9 STEP 2 STEP 3 Identify the rule. The rule is Subtract 8 from the x-value, or y x 8. Use the rule to find the missing number. 22 8 14 SOLUTION The missing number is 14. 102 Duplicating any part of this book is prohibited by law.
Lesson 14: Finding the Rule for a Function Table COACHED EXAMPLE The table shows the cost for different numbers of ornaments. Number of Ornaments How much will 12 ornaments cost? THINKING IT THROUGH Cost 2 $10 6 $30 7 $35 9 $45 Write a number sentence for each pair of input and output numbers. Find the rule that makes each sentence true. 2 10 6 30 7 35 9 45 The rule is. Twelve ornaments will cost $. Duplicating any part of this book is prohibited by law. 103
Lesson Practice 1. Which function table follows the rule Add 19? A. B. 5 24 9 28 15 34 30 39 8 27 12 31 16 35 27 46 2. What is the rule for this function table? 2 16 4 32 6 48 8 64 A. Add 8 to the input number. B. Add 14 to the input number. C. Multiply the input number by 4. D. Multiply the input number by 8. 3. What is the missing output number? C. 19 38 23 42 31 40 36 55 20 9 22 11 24 13 26 15 28? D. 32 13 37 18 41 22 50 31 A. 2 B. 11 C. 17 D. 19 104 Duplicating any part of this book is prohibited by law.
Lesson 14: Finding the Rule for a Function Table 4. What is the missing output number? A. 125 B. 105 C. 25 D. 4 100 25 200 50 300 75 400 100 500? 5. The table shows the total number of triangles that make different numbers of octagons. Number of Octagons Number of Triangles 4 24 6 36 9 54 14 84 How many triangles are needed to make 25 octagons? A. 6 C. 124 B. 116 D. 150 OPEN-ENDED QUESTION 6. The table shows the amount of money Tom earns for working different numbers of hours. Number of Hours Earnings 5 $40 12 $96 16 $128 21 $168 Part A: How much will Tom earn for working 40 hours? Part B: Explain how you know your answer is correct. Write your answer on the lines below. Duplicating any part of this book is prohibited by law. 105