Connected Mathematics 2, 6th Grade Units (c) 2006 Correlated to: Utah Core Curriculum for Math (Grade 6)

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1 Core Standards of the Course Standard I Students will acquire number sense and perform operations with rational numbers. Objective 1 Represent whole numbers and decimals in a variety of ways. A. Change whole numbers with exponents to standard form (e.g., 24 = 16) and recognize that 100 = 1. B. Read and write numerals from thousandths to one billion. SE/TE: Prime Time: 4, 22-36, 52, 56, 74 TE: Prime Time: 35, 36-40, 41-45, 46-48, 49-50, 51-52, 74, 81-86, 118, , ama-1254, ame-9031, ame-1418 SE/TE: Prime Time: 4, 10, 15-16, 24-25, 26-29, 30-31, Bits and Pieces I: 10-11, 12-17, 18, 22, 24-25, 37-40, 57-60, Bits and Pieces II: 5-7, 10, 19, 23, Bits and Pieces III: 5, 12, 16, 20-27, 28, 32 TE: Prime Time: 16, 21-24, 31-33, 35, 41-45, 46-48, 49-50, 51-52, 118, 119 Bits and Pieces I: 15-16, 35-40, 41-42, 43, 44-45, 51-56, 63-6, 67-72, 77-78, 79-84, 85-90, 112, , , , 137, 138, 140, 141, 142, 143, 146, 150 Bits and Pieces II: 19, 20-24, 34, 47-50, 51-54, 55-57, , 125 Bits and Pieces III: 15, 16-20, 29-32, 33-34, 35, 36, 37-42, 43-46, 47-50, 51-56, 57-58, , ame-1215, ama-1254, ama-4254, ame- 6137, ame-6241, ame-2117, ame-9041, amj- 2051, ame-4119 C. Write a whole number to 999,999 in expanded form using exponents (e.g., 876,539 = 8 x x x x x x 100). SE/TE: Prime Time: 4, 6, 10, 15-16, Bits and Pieces I: 10-11, 12-17, 18, 22, 24-25, 37-40, 57-60, Bits and Pieces II: 5-7, 10, 19, 23, Bits and Pieces III: 5, 12, 16, 20-27, 28, 32 1

2 TE: Prime Time: 16, 21-24, 31-33, 35, 41-45, 46-48, 49-50, 51-52, 118, 119 Bits and Pieces I: 15-16, 35-40, 41-42, 43, 44-45, 51-56, 63-6, 67-72, 77-78, 79-84, 85-90, 112, , , , 137, 138, 140, 141, 142, 143, 146, 150 Bits and Pieces II: 19, 20-24, 34, 47-50, 51-54, 55-57, , 125 Bits and Pieces III: 15, 16-20, 29-32, 33-34, 35, 36, 37-42, 43-46, 47-50, 51-56, 57-58, , ame-1215, ama-1254, ama-4254, ame- 6137, ame-6241, ame-2117, ame-9041, amj- 2051, ame-4119 D. Express numbers in scientific notation using positive powers of ten. E. Classify whole numbers to 100 as prime, composite, or neither. SE/TE: Prime Time: 4, 10, 15-16, 24-25, 26-29, 30-31, Bits and Pieces I: 10-11, 12-17, 18, 22, 24-25, 37-40, 57-60, Bits and Pieces II: 5-7, 10, 19, 23, Bits and Pieces III: 5, 12, 16, 20-27, 28, 32, 46, 79 TE: Prime Time: 16, 21-24, 31-33, 35, 41-45, 46-48, 49-50, 51-52, 118, 119 Bits and Pieces I: 15-16, 35-40, 41-42, 43, 44-45, 51-56, 63-6, 67-72, 77-78, 79-84, 85-90, 112, , , , 137, 138, 140, 141, 142, 143, 146, 150 Bits and Pieces II: 19, 20-24, 34, 47-50, 51-54, 55-57, , 125 Bits and Pieces III: 15, 16-20, 29-32, 33-34, 35, 36, 37-42, 43-46, 47-50, 51-56, 57-58, , ame-1215, ama-1254, ama-4254, ame- 6137, ame-6241, ame-2117, ame-9041, amj- 2051, ame-4119 SE/TE: Prime Time: 4, 10-11, 15-16, 19, 21, 22-36, 51-52, 57-59, 60, 66-67, 74, TE: Prime Time: 16, 21-24, 31-33, 34, 35, 36-40, 41-45, 46-48, 49-50, 51-52, 74, 81-86, 93, 94, 95, 116, 118, , ame-1114, ame-1215, ama-1254, ame- 1418, ama-1454, ame-1508, ama

3 F. Determine the prime factorization for a whole number up to 50. SE/TE: Prime Time: 4, 50-55, 56-59, 60, 66-67, 72, 77 TE: Prime Time: 74, 81-86, 87-92, 93, 94, 95 A. Find the greatest common factor and least common multiple for two numbers using a variety of methods (e.g., list of multiples, prime factorization). 9031, ame-1114, ame-1215, ama-1254, ame- 1418, ama-1454, ame-1508, ama-1554 Objective 2 Identify relationships among whole numbers, fractions (rational numbers), decimals, and percents. B. Compare and order rational numbers, including mixed fractions, using a variety of methods and symbols. SE/TE: Prime Time: 4, 11-13, 14-20, 28-29, 30-35, 37-40, 42-76, 77 TE: Prime Time: 16, 25-30, 31-33, 35, 46-48, 49-50, 53, 54-58, 59-62, 63-66, 71-72, 73, 74, 75-80, 81-86, 87-92, 93, 94, 95, , , 104, 116, 117, 118, 119, 120, 121, 122 TECH: Web code: amd- 1103, ame-1114, ama-1154, ame-9031, ame- 1215, ama-1254, ame-1327, ama-1354, ame- 1418, ama-1454, amd-1501, ama-1554, amj SE/TE: Shapes and Designs: 20 Bits and Pieces I: 10, 22, 24, 25-27, 28-33, 40, 42, 45-46, 48, 50, 52, 63, 65, 75 Bits and Pieces II: 5, 13, 14 Bits and Pieces III: 16, 18-19, 28, 32 TE: Bits and Pieces I: 15-16, 35-40, 44-45, 63-66, 67-72, 73-75, 77-78, 85-90,101, 106, , 112, , 138, 141, 143, 145, 146, 149 Bits and Pieces II: 19, Bits and Pieces III: 15, 33-34, 35, 36, , ama-2354, ame-2347, ame-6137, ame- 6241, ame-6137 C. Locate positive rational numbers on a number line. SE/TE: Bits and Pieces I: 14, 17, 22-23, 25-26, 30, 32-33, 41, 48-49, 52, 66-67, Bits and Pieces II: 12, 30, 34-35, 59 Bits and Pieces III: 5, 19, 45, 47, 59 3

4 TE: Bits and Pieces I: 15-16, 41-42, 44-45, 51-56, 57-62, 67-72, 73-75, 91-96, , 112, , 140, 141, 144, 146, 149 Bits and Pieces II: 19, 31-32, 55-57, 59, 65-70, 125 Bits and Pieces III: 15, 16-20, 36, 57-58, 60-61, 79-81, 83, , ame-2117, ame-9031, ama-2354amj D. Convert common fractions, decimals, and percents from one form to another (e.g., 3/4= 0.75 = 75%). SE/TE: Bits and Pieces I: 4, 6, 7, 10-11, 19-23, 27, 35-46, 53, 54, 56-60, 71, 73 Bits and Pieces II: 5-9, 10-14, 15, 27 Bits and Pieces III: 12, 15, 20, 21-22, 27, 29, 33, 35, 38-39, 41-42, 43-45, 47, 49, 50, 57, 60, 62, 77 TE: Bits and Pieces I: 15-16, 17-22, 23-28, 35-40, 44-45, 46-50, 57-62, 77-78, 79-84, 85-90, 91-96, , 101, 106, 111, 112, , , , , 138, 139, 142, 143, 144, 145, 147, 148 Bits and Pieces II: 19, 20-24, 25-30, 31-32, 33, Bits and Pieces III: 15, 29-32, 33-34, 35, 36, 37-42, 36, 51-56, 59, 60-61, 65-70, 75-78, 79-81, 82, 83, 84-88, 97, 100, , 121, , ame-9041, ame-4119, ama-4154, ama- 6354, ame-6329, ame-6415 Objective 3 Model and illustrate meanings of operations and describe how they relate. A. Represent division of a multi-digit dividend by two-digit divisors, including decimals, using models, pictures, and symbols. SE/TE: Prime Time: 6, 11, 14-15, 18, 31, 32, 33-35, 44, 48-54, 59, 64, 65, 67, 69, 75 Bits and Pieces II: 48-54, 55-61, 62 Bits and Pieces III: 28-29, 36-42, 43-48, 49, 59, 77, 79 TE:Prime Time: 16, 25-30, 31-33, 49-50, 51-52, 71-72, 73, 74, 75-80, 81-86, 87-92, 93, 95, , 117, 120, Bits and Pieces II: 89-91, 92-96, 89-91, , , , , 118 Bits and Pieces III: 36, 57-58, 59, 60-61, 62-64, 65-70, 71-74, 75-78, 79-81, 82, 83, 97 4

5 B. Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 6354, ame-6329, ame-4412, ama-4454, ame- 1114, ama-1154, ame-1215, ama-1254 SE/TE: How Likely Is It? 7, 13, 31, 39-40, Data About Us: 12, 32, 36, Covering and Surrounding: 5-9, 11-14, 17, 22-23, 25, 28, 30-35, 37-42, 44-51, 54-64, 66-67, 71, 74, 83-85, Prime Time: 8, 20, 23-26, 30, 32, 36, 46-47, 63, 72, 78 Bits and Pieces I: 14, 17, 22-23, 25-26, 30, 32-33, 36-38, 40-41, 48-49, 52, 66-67, Bits and Pieces II: 5-9, 10-12, 13-14, 16-23, 24-30, 31, 32-39, 40-46, 47, 48-54, 55-61, 62, 64 Bits and Pieces III: 5, 7-12, 13-15, 17-19, 20, 21-25, 27, 28-29, 30-34, 35, 36-40, 43-44, 45, 47, 57, 59 TE: How Likely Is It? 14, 21-24, 33-34, 36, 53-56, 58, 59-62, 63-66, 93, 94 Data About Us: 16, 27-30, 46, 47-52, 57-62, 73, Covering and Surrounding: 17, 18-22, 23-26, 27-30, 33-35, 36, 37, 43-46, 51-54, 55-58, 60, 61-68, 69-74, 75-78, 83-85, 87, 88-92, 93-96, , , , 109, , , , , 141, 142, , 148, , , 153, , , 159, 161, 161, Prime Time: 16, 17-20, 31-33, 35, 36-40, 41-45, 46-48, 49-50, 51-52, 71-72, 95, , , 115, 118, 119, Bits and Pieces I: 15-16, 41-42, 44-46, 51-56, 57-62, 63-66, 73-75, 77-78, 79-84, 85-90, , 112, , 135, 140, 141, 142, 143, 146, 149, 150 Bits and Pieces II: 19, 20-24, 25-30, 31-32, 34, 35-40, 41-46, 47-50, 51-54, 55-57, 58, 59, 60-64, 65-70, 71-74, 75-80, 81-84, 85-87, 88, 89-91, 92-96, , , , , 118, 119, , 123, 124, 125, 126 Bits and Pieces III: 15, 16-20, 21-24, 25-28, 29-32, 33-34, 35, 36, 37-42, 43-46, 47-50, 51-56, 57-58, 59, 60-61, 62-64, 65-70, 71-74, 79-81, 83, 97 5

6 7154, ame-7212, ama-5154, ame-5125, amd- 5303, ama-5354, amj-5051, ame-9031, ame- 5323, ama-5454, amd-1501, ama-2354, ama- 6154, ame-6241, amj-2051, ama-4154, ama- 4254, ama-6354, ame-4227, ama-4354, ame- 4412, ama-4454, ame-6415 C. Apply rules of divisibility. SE/TE: Prime Time: 11, 15, 18, 31, 33-35, 44, 59, 65, 67 Bits and Pieces I: 15 TE: Prime Time: 16, 25-30, 31-3, , 71-72, 93, 95, 117 D. Select or write a number sentence that can be used to solve a multi-step problem and write a word problem when given a two-step expression or equation. Objective 4 Use fractions and percents to communicate parts of the whole. 9031, ama-1154, ame-1114, ame-1215, ama SE/TE: How Likely Is It? 4, 8-12, 22, 26, 38, 39-40, 43, 54, TE: How Likely Is It? 14, 25-28, 29-32, 36, 37-40, 45-48, 57, 58, 59-62, 67-70, 74, 76-78, 79-82, , ama-7354 A. Divide regions, sets of objects, and line segments into equal parts using a variety of models and illustrations. SE/TE: Shapes and Designs: 8-9, 10-11, 15, 17, 19-20, 22, 34, 39, 50-51, 55, 58-59, 66, 88 TE: Shapes and Designs: 17, 18-22, 27-30, 31-33, 35, 45-48, 53-56, 57-60, 62, 63-66, 67-70, 71-74, 79-80, 103, 106, , amd-3301, ame-9031 B. Name and write a fraction to represent a portion of a unit whole for halves, thirds, fourths, fifths, sixths, eighths, tenths, twelfths, and sixteenths. SE/TE: Bits and Pieces I: 7, 10-11, 21, 24-25, 36-40, 42, 57, 59-60, 70 Bits and Pieces II: 5-7, 10, 19, 24-25, 40, 44, 57 Bits and Pieces III: 22, 46 6

7 TE: Bits and Pieces I: 15-16, 23-28, 35-40, 44-45, 51-56, 63-66, 77-78, 79-84, 85-90, 91-96, 112, , 138, 140, 143, 144, 148, 150 Bits and Pieces II: 19, 20-24, 34, 41-46, 55-57, 59, 85-87, 89-91, , , 124, 125 Bits and Pieces III: 36, 37-42, 60-61, , ame-4119, ama-4154, ama-4254, ame- 4316, ama-4354, ame-4412, ame-6329 C. Write a fraction or ratio in simplest form. SE/TE: Bits and Pieces I: 6, 8, 17, 18, 39, 73 TE: Bits and Pieces I: 15-16, 17-22, 23-28, 41-42, 43, 77-78, 85-90, 143, 150 TECH: D. Name equivalent forms for fractions (halves, SE/TE: Bits and Pieces I: 4, 6-7, 10-11, 19- thirds, fourths, fifths, tenths), ratios, percents, and 23, 27, 38-42, 44, 58-60, 73 decimals, including repeating or terminating Bits and Pieces II: 9, 12-14, 21, 27, 28, 38, decimals. 46, 58, 66 Bits and Pieces III: 22, 33, 38, 41-42, 44, 49, 60, 62, 71, 79 TE: Bits and Pieces I: 15-16, 17-22, 23-28, 35-40, 4-45, 46-50, 51-56, 57-62, 77-78, 85-90, 91-96, , 112, , , 143, 144 Bits and Pieces II: 19, 25-30, 31-32, 34, 47-50, 55-57, 59, 81-84, 85-87, 89-91, , 125 Bits and Pieces III: 36, 37-42, 57-58, 60-61, 65-70, 75-78, 79-81, 82-83, 97, 100, , ame-2208, ama-2354, ame-2405, ama- 4454, ama-6354 E. Relate percents less than 1% or greater than 100% to equivalent fractions, decimals, whole numbers, and mixed numbers. SE/TE: Bits and Pieces I: 4, 54, 57-60, 61-67, 76 Bits and Pieces II: 12 Bits and Pieces III: 50-54, 55-60, 61, 62-66, 67-72, 73 7

8 TE: Bits and Pieces I: 112, , , , , Bits and Pieces II: 19, Bits and Pieces III: 83, 84-88, 89-92, 93-96, 97, 98-99, 100, , , , , TECH: Web code: amj- 2051, ama-6454, ame-6415, ama-6554, ame- 6521, ame-9041, ame-2405, ama-2454 Objective 5 Solve problems using the four operations with whole numbers, decimals, and fractions. A. Determine when it is appropriate to use estimation, mental math strategies, paper and pencil, or a calculator. SE/TE: How Likely Is It? 22, 26, 36, 38, 71 Data About Us: 9, 11-12, Covering and Surrounding: 6-7, 10-11, 14-18, 20, Shapes and Designs: 8-13, 32-34, 39, 42-45, 84 Prime Time: 7-13, 20, 23-24, 30, 63 Bits and Pieces I: 14, 17, 20, 22-23, Bits and Pieces II: 12-13, 28, 33, 35-36, 40, 51 Bits and Pieces III: 36, 43, 44-45, 48 TE: How Likely Is It? 36, 37-40, 45-48, 53-56, 57 Data About Us: 16, 21-26, 27-30, 73, Covering and Surrounding: 17, 23-26, 33-35, 36, 37, 38-42, 43-46, 47-50, 51-54, 55-58, 141, 143, 144, Shapes and Designs: 17, 18-22, 23-26, 35, 45-48, 53-56, 57-60, 103, 104, 105, 106 Prime Time: 16, 17-20, 21-24, 25-30, 35, 36-40, 49-50, 95, , 115, 116, 117, Bits and Pieces I: 15-16, 41-42, 44-45, 46-50, 51-56, 57-62, 77-78, 85-90, 91-96, , , , 137, 139, 140, 141, 142, 143, 144, 145, 146 Bits and Pieces II: 19, 31-32, 55-57, 59, 60-64, 65-70, 71-74, 85-87, 125, 126 Bits and Pieces III: 60-61, 62-64, , ama-8154, ame-9031, ama-5154, ame- 5125, ama-5254, ame-3220, amd-1101, amd- 1103, ame-1114, ame-1215, amd-1501, ama- 2354, ame-4316, ame-6329, 8

9 B. Use estimation strategies to determine whether results obtained using a calculator are reasonable. C. Multiply up to a three-digit factor by a one- or two-digit factor including decimals. SE/TE: Shapes and Designs: 29-31, 34-35, 39, 41-45, 53 Prime Time: 33, 40, 64 Bits and Pieces I: 8-9, 12-13, 16, 24, 32, 42, 49, 53 Bits and Pieces II: 4, 5-7, 9, 10-14, 15, 33, 35-38, 41, Bits and Pieces III: 12-22, 24-25, 28, 33, TE: Shapes and Designs: 35, 41-44, 45-48, 53-56, 57-60, 61, 104, 105, 106 Prime Time: 49-50, 53, 63-66, 95, , Bits and Pieces I: 15-16, 29-34, 41-42, 44-45, 63-66, 73-75, 77-78, 91-96, , 111, 137, 138, 146 Bits and Pieces II: 19, 20-24, 25-30, 31-32, 33, 59, 60-64, 65-70, 71-74, 75-80, 81-84, 85-87, 89-91, , , , 126 Bits and Pieces III: 15, 29-32, 33-34, 35, 36, 37-42, 43-46, 47-50, 57-58, 60-61, , ame-6137, ama-4154, ame-4119, ame- 4412, ame-1215, ame-1508, ama-1554, ame- 9031, ame-3220 SE/TE: Bits and Pieces II: 32-37, 38-39, 40-46, 47, 58-60, 64 Bits and Pieces III: 21-27, 28-34, 35, 57, 77 TE: Bits and Pieces II: 59, 60-64, 65-70, 71-74, 75-80, 81-84, 85-87, 88, 89-91, , , 126 Bits and Pieces III: 36, 37-42, 43-46, 47-50, 51-56, 57-58, 59, , ama-4354, ame-4412, ama-4454 D. Divide up to a four-digit dividend by a one- or two-digit divisor including decimals. SE/TE: Bits and Pieces II: 45, 48-49, 50-51, 52-54, 55-61, 62, 64 Bits and Pieces III: 36-42, 43-48, 49, 57, 59, 77 TE: Bits and Pieces II: 59, 85-87, 89-91, 92-96, , , , , 118, 119 Bits and Pieces III: 60-61, 62-64, 65-70, 71-74, 75-78, 79-81, 82, 83, 84-88, 89-92, 93-96, 97,

10 E. Add and subtract decimals to the thousandths place (e.g., ; ). 4412, ama-4454, ame-6241, ama-6354, ame SE/TE: Bits and Pieces III: 7-12, 13-15, 17-19, 33 F. Add, subtract, multiply, and divide fractions and mixed numbers. TE: Bits and Pieces III: 15, 21-24, 25-28, 29-32, , ame-6137 SE/TE: Bits and Pieces I: 25-27, 28-33, 75 Bits and Pieces II: 8-9, 10-12, 13-14, 16-23, 24-30, 31, 32-39, 43, 46, 47, 58, 64, 66 Bits and Pieces III: 14-15, 21-24, 27, 31-33, TE: Bits and Pieces I: 44-45, 67-72, 73-75, 141 Bits and Pieces II: 19, 25-30, 31-32, 33, 34, 35-40, 41-46, 47-50, 51-54, 55-57, 58, 59, 60-64, 65-70, 71-74, 75-80, 81-84, 85-87, 123, 124, 125, 126 Bits and Pieces III: 15, 33-34, 36, 37-42, 43-46, 47-50, 51-56, 57-58, 60-61, 65-70, , ama-2254, ama-6154, ame-6254, ame- 6241, ama-6354, ame-4119, ama-4154, ama- 4254, ame-4227, ame-4316, ama-4354 G. Solve problems using ratios and proportions. SE/TE: Bits and Pieces I: 27, 32, 59, 61-63, 76 TE: Bits and Pieces I: 44-45, 67-72, 73-75, 112, , , 141, 148, H. Simplify expressions, with exponents, using the order of operations. SE/TE: Prime Time: 26, 31 TE: Prime Time: 35, 46-48, 49-50,

11 Objective 6 Model, illustrate, and perform the operations of addition and subtraction of integers. A. Recognize that the sum of an integer and its opposite is zero. B. Model addition and subtraction of integers using manipulatives and a number line. SE/TE: Bits and Pieces II: 5-9, 10-12, 15, 16-23, 24-30, 46, 58 Bits and Pieces III: 5-12, 13-19, 20 TE: Bits and Pieces II: 19, 20-24, 25-30, 31-32, 33, 34, 35-40, 41-46, 47-50, 51-54, 55-57, 59, 85-87, 89-91, , , 123, 124, 125 Bits and Pieces III: 15, 16-20, 21-24, 25-28, 29-32, 33-34, , ama-4154, ama-4254, ame-4227, ama- 6154, ame-6137 SE/TE: How Likely Is It? 6-7, 9-10, 22, 26, 36, 40-44, Data About Us: 11, 12, 50-51, 53 Covering and Surrounding: 24, 31, 34, 35, 41, 73, Shapes and Designs: 32-34, 39, 42-45, 49, 53, 71, 74, 84 Bits and Pieces I: 7, 12-17, 21, 22-23, 30, 32, 33, 35-36, 38, 48-49, 52, Bits and Pieces II: 12, 30, 59 Bits and Pieces III: 5, 19, 45, 47, 59 TE: How Likely Is It? 14, 15-20, 21-24, 25-28, 36, 45-48, 53-56, 58, 59-62, 63-66, 67-70, 71-73, 75, 83-86, 92, 93, 94, 96, 96 Data About Us: 16, 26, 27-30, 73, 74-80, Covering and Surrounding: 37, 47-50, 55-58, 60, 69-74, 109, , , Shapes and Designs: 35, 45-48, 53-56, 57-60, 61, 82, 83-86, 87-90, 91-94, 106, , 110, 111 Bits and Pieces I: 15-16, 23-28, 41-42, 43, 44-45, 51-56, 57-62, 73-75, 77-78, 79-84, , 112, , 146, 149 Bits and Pieces II: 19, 31-32, 57, 89-91, Bits and Pieces III: 15, 16-20, 33-34, 60-61, 79-81, 83, 97 11

12 7254, ame-7212, ama-7354, ama-8154, ama- 8354, ama-5254, ama-5554, ame-9031, ame- 3220, amd-3402, amd-3403, amd-1101, ama C. Add and subtract integers. SE/TE: Bits and Pieces II: 10-12, 24-30, 46, 58 Bits and Pieces III: 5-12, 13-19, 20 TE: Bits and Pieces II: 19, 20-24, 25-30, 31-32, 33, 34, 35-40, 41-46, 47-50, 51-54, 55-57, 59, 85-87, 89-91, , , 123, 124, 125 Bits and Pieces III: 15, 16-20, 21-24, 25-28, 29-32, 33-34, 35 Standard II 4119, ama-4154, ama-4254, ame-4227, ama- 6154, ame-6137 Students will use patterns, relations, and functions to represent and analyze mathematical situations using algebraic symbols. Objective 1 Recognize, analyze, and use multiple representations of patterns and functions and describe their attributes. A. Analyze patterns on graphs and tables and write a generalization to predict how the patterns will continue. SE/TE: Data About Us: 8, 30, 37-39, 41-42, Covering and Surrounding: 21, 24, 38, 56, 61, 73-74, 77 Shapes and Designs: 39, 46, 53, 54-55, 57, 67-68, 71 Prime Time: 9-10, 13, 18-19, 25, 33, 35, 37-40, 42-47, 57, 59, 64, 67, 71 Bits and Pieces I: 40, 49 Bits and Pieces II: 4, 23, 26, 35, 39, 40, 42, 54, 56, 59 Bits and Pieces III: 26, 44-45, 47, 49, 56 12

13 TE: Data About Us: 16, 17-20, 46, 47-52, 46, 57-62, 63-66, 67-70, 94-95, 103, 104 Covering and Surrounding: 37, 38-42, 47-50, 60, 61-68, 87, 93-96, 109, , , 143, 144, , 148, , Shapes and Designs: 35, 53-56, 57-60, 61, 62, 63-66, 79-80, 82, 83-86, 106, Prime Time: 16, 21-24, 25-30, 31-33, 35, 41-45, 49-50, 53, 54-58, 59-62, 63-66, 71-72, 93, 95, , , 116, 117, 120, Bits and Pieces I: 77-78, 85-90, , 143, 146 Bits and Pieces II: 34, 51-54, 55-57, 59, 65-70, 81-84, 85-87, 89-91, , , 125 Bits and Pieces III: 36, 51-56, 60-61, 79-81, 82, 83, 97 TECH: Web code: amd- 8204, amd-5303, ama-5454, ame-9031, amd- 3301, ama-1154, ama-1254, ama-1354, ame- 1327, ame-1418, ame-4227, ame-4316, ame- 4412, ama-4454, ama-6354, ame-6329, ama B. Create tables and graphs to represent given patterns and algebraic expressions. SE/TE: How Likely Is It? 6, 8, 14, 16, 19, 35, 48, 52, 56, 57, 65, 68 Data About Us: 8-9, 10, 16-20, 21-22, 24, 25, 26-28, 29, 31, 36-37, 39-42, 43, 51, 54-55, 66, Covering and Surrounding: 7, 13, 17, 21, 24, 26, 27, 29, 30, 36, 38, 56, 67, 73, 75, 77, 86 Shapes and Designs: 55, 67-68, 75 Prime Time: 7, 9-10, 35, 36 Bits and Pieces III: 9,

14 TE: How Likely Is It? 14, 15-20, 25-28, 33-34, 36, 53-56, 58, 71-73, 75, 76-78, 79-82, Data About Us: 16, 17-20, 21-26, 31-36, 37-40, 41-44, 45, 46, 47-52, 57-62, 63-66, 67-70, 71-72, 73, 74-80, 87-90, 103, 104 Covering and Surrounding: 17, 23-26, 33-35, 37, 38-42, 43-46, 47-50, 51-54, 55-58, 59, 87, , 109, , , , , 162 Shapes and Designs: 62, 63-66, , 91-94, 110 Prime Time: 16, 17-20, 21-24, 49-50, Bits and Pieces III: 15, 21-24, 60-61, C. Write an algebraic expression from a graph or a table of values. 7108, ama-7454, ame-9031, ama-8154, ame- 8129, amd-2804, ame-8211, ama-5254, ame- 5209, amd-5303, amd-3301, amd-3403, amd- 1101, SE/TE: How Likely Is It? 6, 8, 14, 16, 19, 35, 48, 52, 56, 57, 65, 68 Data About Us: 8-9, 10, 16-20, 21-22, 24, 25, 26-28, 29, 31, 36-37, 39-42, 43, 51, 54-55, 66, Covering and Surrounding: 7, 13, 17, 21, 24, 26, 27, 29, 30, 36, 38, 56, 67, 73, 75, 77, 86 Shapes and Designs: 55, 67-68, 75 Prime Time: 7, 9-10, 35, 36 Bits and Pieces III: 9, TE: How Likely Is It? 14, 15-20, 25-28, 33-34, 36, 53-56, 58, 71-73, 75, 76-78, 79-82, Data About Us: 16, 17-20, 21-26, 31-36, 37-40, 41-44, 45, 46, 47-52, 57-62, 63-66, 67-70, 71-72, 73, 74-80, 87-90, 103, 104 Covering and Surrounding: 17, 23-26, 33-35, 37, 38-42, 43-46, 47-50, 51-54, 55-58, 59, 87, , 109, , , , , 162 Shapes and Designs: 62, 63-66, , 91-94, 110 Prime Time: 16, 17-20, 21-24, 49-50, Bits and Pieces III: 15, 21-24, 60-61,

15 D. Draw a graph from a table of values or to represent an equation. 7108, ama-7454, ame-9031, ama-8154, ame- 8129, amd-2804, ame-8211, ama-5254, ame- 5209, amd-5303, amd-3301, amd-3403, amd- 1101, SE/TE: How Likely Is It? 6, 8, 14, 16, 19, 35, 48, 52, 56, 57, 65, 68 Data About Us: 8-9, 10, 16-20, 21-22, 24, 25, 26-28, 29, 31, 36-37, 39-42, 43, 51, 54-55, 66, Covering and Surrounding: 7, 13, 17, 21, 24, 26, 27, 29, 30, 36, 38, 56, 67, 73, 75, 77, 86 Shapes and Designs: 55, 67-68, 75 Prime Time: 7, 9-10, 35, 36 Bits and Pieces III: 9, TE: How Likely Is It? 14, 15-20, 25-28, 33-34, 36, 53-56, 58, 71-73, 75, 76-78, 79-82, Data About Us: 16, 17-20, 21-26, 31-36, 37-40, 41-44, 45, 46, 47-52, 57-62, 63-66, 67-70, 71-72, 73, 74-80, 87-90, 103, 104 Covering and Surrounding: 17, 23-26, 33-35, 37, 38-42, 43-46, 47-50, 51-54, 55-58, 59, 87, , 109, , , , , 162 Shapes and Designs: 62, 63-66, , 91-94, 110 Prime Time: 16, 17-20, 21-24, 49-50, Bits and Pieces III: 15, 21-24, 60-61, , ama-7454, ame-9031, ama-8154, ame- 8129, amd-2804, ame-8211, ama-5254, ame- 5209, amd-5303, amd-3301, amd-3403, amd- 1101, Objective 2 Represent, solve, and analyze mathematical situations using algebraic symbols. A. Recognize that a number in front of a variable indicates multiplication (e.g., 3y means 3 times the quantity y). SE/TE: Bits and Pieces II: 40-46, TE: Bits and Pieces II: 59, 85-87, 89-91, , ama-4354, ama

16 B. Solve two-step equations involving whole numbers and a single variable (e.g., 3x+4=19). SE/TE: Bits and Pieces II: 8-10, 11-12, 24-30, 40-46, Bits and Pieces III: 5-12, 20, 77 TE: Bits and Pieces II: 19, 25-30, 31-32, 55-57, 59, 85-87, 89-91, , 125 Bits and Pieces III: , 21-24, 25-28, 29-32, , ama-4154, ama-4254, ame-4227, ame- 4316, ama-4354, ama-4454 C. Recognize that indicates a relationship in which the quantities on each side are approximately of equal value (e.g., π 3.14). D. Recognize that an exponent can be represented in the following ways: 43 or 4^3. This is covered extensively in grade 7. TECH: SE/TE: Prime Time: 52, 56, 75 TE: Prime Time: 74, 81-86, , ame-1418 E. Evaluate expressions and formulas, substituting given values for the variables (e.g., 2x+4; x=2; therefore, 2(2)+4=8). F. Recognize that if the product is zero, then one or more factors equal zero (i.e., if a*b=0 then either a=0 or b=0 or a and b=0). SE/TE: Prime Time: 52, 56, 75 TE: Prime Time: 74, 81-86, , ame-1418 SE/TE: Shapes and Designs: 47 Prime Time: 6, 14-20, 30-35, 37, 40-41, 42-47, 56-59, 65-68, 76 Bits and Pieces III: TE: Shapes and Designs: Prime Time: 31-33, 49-50, 53, 63-66, 67-70, 71-72, 93, 95 Bits and Pieces III: 36, 43-46, 47-50, 51-56, , ama-1154, ame-1215, ama-1254, ama- 1354, ame-1327, ame-1418, ama-1454, ame- 1508, ama-1554, Standard III Students will use spatial and logical reasoning to recognize, describe, and identify geometric shapes and principles. 16

17 Objective 1 Identify and analyze characteristics and properties of geometric shapes. A. Identify the midpoint of a line segment. SE/TE: Data About Us: 52-53, Shapes and Designs: 8-9, 50-51, 88 TE: Data About Us: 73, 81-86, 87-90, Shapes and Designs: 17, 35, , ame-8312 B. Identify concave and convex polygons. SE/TE: Shapes and Designs: 8-9, 11-13, 14-15, 55, 65, 67, 70-75, 76-81, 82, 90, 91 TE: Shapes and Designs: 17, 18-22, 23-26, 27, 30, 62, 63-66, 79-80, 82, 83-86, 87-90, 91-94, 95-96, 97, 103, 107, TECH: Web code: amd- 3301, amd-3402 C. Identify the center, radius, diameter, and circumference of a circle. SE/TE: Covering and Surrounding: 72-73, 75-76, 80-87, 88, 92, 94, 96 Shapes and Designs: 19, 48 TE: Covering and Surrounding: 109, , , , , , , , 162, Shapes and Designs: 17, 31-33, 35, , ama-3254, ame-9031, ama-5554, ame D. Identify the number of faces, edges, and vertices of prisms and pyramids. This is covered extensively in grade 7. TECH: Objective 2 Specify locations and describe spatial relationships using coordinate geometry. A. Graph points defined by ordered pairs in all four quadrants. SE/TE: Data About Us: 37-42, 46-48, 66-67, 69, 73 TE: Data About Us: 46, 57-62, 67-70, B. Write the ordered pair for a point in any quadrant. TECH: Web code: amd- 8204, ame-8211 SE/TE: Data About Us: 37-42, 46-48, 66-67, 69, 73 17

18 TE: Data About Us: 46, 57-62, 67-70, TECH: Web code: amd- 8204, ame-8211 Objective 3 Visualize and identify geometric shapes after applying transformations. A. Turn (rotate) a shape around a point and identify the location of the new vertices. SE/TE: Shapes and Designs: 12-13, 18-19, 23, 80, 85, 92 TE: Shapes and Designs: 17, 23-26, 31-33, 34, 95-96, 103 B. Slide (translate) a polygon either horizontally or vertically on a coordinate grid and identify the location of the new vertices SE/TE: Shapes and Designs: 9, 12-13, 15, 18-19, 23, 57-58, 80, 85, 92, 93 TE: Shapes and Designs: 17, 23-26, 27-30, 31-33, 34, 62, 67-70, 95-96, 103, 107 C. Flip (reflect) a shape across either the x- or y- axis and identify the location of the new vertices. 3106, ame-9031 SE/TE: Shapes and Designs: 12-13, 18-19, 23, 80, 85, 91 Standard IV Students will understand and apply measurement tools and techniques. TE: Shapes and Designs: 17, 23-26, 31-33, 34, 95-96, Objective 1 Identify and describe measurable attributes of objects and units of measurement. A. Compare a meter to a yard, a liter to a quart, and a kilometer to a mile. B. Identify pi as the ratio of the circumference to diameter of a circle. SE/TE: Covering and Surrounding: 71, 78, 79, 87, 88 TE: Covering and Surrounding: 109, , , 159, SE/TE: Covering and Surrounding: 73, 76, 80, 86, 88, TE: Covering and Surrounding: 109, , , , ,

19 C. Explain how the size of the unit used in measuring affects the precision SE/TE: Covering and Surrounding: 73, 76, 80, 86, 88, TE: Covering and Surrounding: 109, , , , , D. Estimate length, volume, weight, and area using metric and customary units SE/TE: Covering and Surrounding: 9, 23, 70-71, 73, 76, 78, 79, 80, 83, 86, 88, 91, TE: Covering and Surrounding: 17, 27-32, 37, 43-46, 109, , , , , , 142, 162, , , ama-5554ame-5536, amj-5051 Objective 2 Determine measurements using appropriate tools and formulas. A. Measure length to the nearest one-sixteenth of an inch and to the nearest millimeter. SE/TE: Covering and Surrounding: 9, 23, 40-43, 45-47, 50, 54, 56-57, 58, 61-63, 70-71, 73, 76, 78, 79, 80, 83, 86, 88, 91, TE: Covering and Surrounding: 17, 27-32, 37, 43-46, 60, 69-74, 75-78, 79-82, 82-85, 87, 88-92, 93-96, , , , 109, , , , , , 142, , , , 162, , 165 B. Estimate and measure an angle to the nearest degree. 5354, ame-5323, ama-5454, ame-5429, ame- 9031, ama-5554, amj-5051 SE/TE: How Likely Is It? 44 Covering and Surrounding: Shapes and Designs: 32-35, 36-37, 53, 85 TE: How Likely Is It? 58, 71-73, 95 Covering and Surrounding: 109, , , , , , , 159, , 162, Shapes and Designs: 35, 45-48, 49-52, 61,

20 C. Calculate the circumference of a circle using a given formula. 9031, ama-5554, ame-5536, SE/TE: Covering and Surrounding: 72-73, 75-76, 80-87, 88, 92, 94 Shapes and Designs: 19, 48 TE: Covering and Surrounding: 109, , , , , , 162, Shapes and Designs: 17, 31-33, 35, , ama-5554, ame-5536 D. Calculate elapsed time across a.m. and p.m. time periods. E. Calculate the areas of triangles, rectangles, and parallelograms using given formulas. SE/TE: Prime Time: 17, 39, 40, 42, 44, 45, 47, 59 TE:Prime Time: 31-33, 53, 59-62, 63-66, 67-70, 71-72, , ame-1327 SE/TE: Covering and Surrounding: 8-9, 12-17, 18, 20-21, 24, 26-35, 36, 37-39, 42-43, 44-51, 52-57, 58-59, 60-66, 68, TE: Covering and Surrounding: 17, 27-32, 33-35, 36, 37, 38-42, 43-46, 47-50, 51-54, 55-58, 59, 60, 61-68, 75-78, 79-82, 83-85, 86, 88-92, 93-96, , , , , 109, , 142, 143, 144, , 148, , , 153, , , 159, , 162, , ama-5154, ame-5125, ama-5254, ame- 5209, amd-5303, ama-5354, ame-5323, ama- 5454, ame-5429, ama-5554, ame-5536 F. Calculate the surface area and volume of right, rectangular prisms using given formulas. SE/TE: Covering and Surrounding: 8-9, 12-17, 18, 20-21, 24, 26-35, 36, 37-39, 42-43, 44-51, 52-57, 58-59, 60-66, 68, TE: Covering and Surrounding: 17, 27-32, 33-35, 36, 37, 38-42, 43-46, 47-50, 51-54, 55-58, 59, 60, 61-68, 75-78, 79-82, 83-85, 86, 88-92, 93-96, , , , , 109, , 142, 143, 144, , 148, , , 153, , , 159, , 162,

21 9031, ama-5154, ame-5125, ama-5254, ame- 5209, amd-5303, ama-5354, ame-5323, ama- 5454, ame-5429, ama-5554, ame-5536 Standard V Students will collect, analyze, and draw conclusions from data and apply basic concepts of probability. Objective 1 Design investigations to reach conclusions using statistical methods to make inferences based on data. A. Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). B. Collect, compare, and display data using an appropriate format (i.e., bar graphs, line graphs, line plots, circle graphs, scatter plots). SE/TE: Data About Us: 3, 4, 5, 6-8, 9, 14-17, 18-20, 26-28, 29, 30-38, 43-46, 48, 53, 60, 63, 64, 68 TE: Data About Us: 16, 17-20, 21-26, 31-36, 37-40, 41-44, 45, 46, 47-52, 53-56, 57-62, 63-66, 67-70, 71-72, 73, 81-86, 91-92, 93, , amd-8204, ame-8211 SE/TE: How Likely Is It? 34 Data About Us: 3, 4, 5, 6-8, 9, 14-17, 18-20, 26-28, 29, 30-38, 43-46, 48, 52-53, 60, 63, 64, 67, 68, 70, 72 Shapes and Designs: 30-31, 32, 50 Prime Time: 27-29, 31, 34, Bits and Pieces I: 5-6, 8-11, 12-14, 32, 56, 60, 61, Bits and Pieces II: 23, 39, 45, 54, 61 Bits and Pieces III: 65-66, 69-70, 73 TE: How Likely Is It? 36, Data About Us: 16, 17-20, 21-26, 31-36, 37-40, 41-44, 45, 46, 47-52, 53-56, 57-62, 63-66, 67-70, 71-72, 73, 81-86, 91-92, 93, Shapes and Designs: 35, 41-44, 45-48, 57-60, 104 Prime Time: 35, 46-48, 49-50, 74, 81-86, Bits and Pieces I: 15-16, 17-22, 29-34, 35-40, 41-42, 43, 112, , , , 135, 147, 148, 149 Bits and Pieces II: 34, 51-54, 59, 81-84, 85-87, 89-91, , Bits and Pieces III: 100, , , ,

22 C. Compare two similar sets of data on the same graph and compare two graphs representing the same set of data. 8154, amd-8204, ame-8211, ame-9031, ame- 2117, ame-2405, ama-2454, ame-6521 SE/TE: How Likely Is It? 34 Data About Us: 3, 4, 5, 6-8, 9, 14-17, 18-20, 26-28, 29, 30-38, 43-46, 48, 52-53, 60, 63, 64, 67, 68, 70, 72 Shapes and Designs: 30-31, 32, 50 Prime Time: 27-29, 31, 34, Bits and Pieces I: 5-6, 8-11, 12-14, 32, 56, 60, 61, Bits and Pieces II: 23, 39, 45, 54, 61 Bits and Pieces III: 65-66, 69-70, 73 TE: How Likely Is It? 36, Data About Us: 16, 17-20, 21-26, 31-36, 37-40, 41-44, 45, 46, 47-52, 53-56, 57-62, 63-66, 67-70, 71-72, 73, 81-86, 91-92, 93, Shapes and Designs: 35, 41-44, 45-48, 57-60, 104 Prime Time: 35, 46-48, 49-50, 74, 81-86, Bits and Pieces I: 15-16, 17-22, 29-34, 35-40, 41-42, 43, 112, , , , 135, 147, 148, 149 Bits and Pieces II: 34, 51-54, 59, 81-84, 85-87, 89-91, , Bits and Pieces III: 100, , , , , amd-8204, ame-8211, ame-9031, ame- 2117, ame-2405, ama-2454, ame-6521 D. Recognize that changing the scale influences the appearance of a display of data. SE/TE: How Likely Is It? 34 Data About Us: 3, 4, 5, 6-8, 9, 14-17, 18-20, 26-28, 29, 30-38, 39, 40, 42, 43-46, 47, 48, 52-53, 60, 63, 64, 67, 68, 70, 72, 73 Shapes and Designs: 30-31, 32, 50 Prime Time: 27-29, 31, 34, Bits and Pieces I: 5-6, 8-11, 12-14, 32, 56, 60, 61, Bits and Pieces II: 23, 39, 45, 54, 61 Bits and Pieces III: 65-66, 69-70, 73 22

23 TE: How Likely Is It? 36, Data About Us: 16, 17-20, 21-26, 31-36, 37-40, 41-44, 45, 46, 47-52, 53-56, 57-62, 63-66, 67-70, 71-72, 73, 81-86, 91-92, 93, Shapes and Designs: 35, 41-44, 45-48, 57-60, 104 Prime Time: 35, 46-48, 49-50, 74, 81-86, Bits and Pieces I: 15-16, 17-22, 29-34, 35-40, 41-42, 43, 112, , , , 135, 147, 148, 149 Bits and Pieces II: 34, 51-54, 59, 81-84, 85-87, 89-91, , Bits and Pieces III: 100, , , , 125 E. Develop and evaluate inferences and predictions based on data. TECH: Web code: ama-8154, amd-8204, ame-8211, ame-9031, ame-2117, ame-2405, ama-2454, ame-6521 SE/TE: How Likely Is It? 28-37, 44-53, Data About Us: 7, 25, 38, 42, 58, 67 TE: How Likely Is It? 36, 53-56, 57, 58, 71-72, 75, 87-88, 95 Data About Us: 16, 17-20, 41-44, 46, 63-66, 67-70, 73, 91-92, 94-96, TECH: Web code: ama-7254, ame-7212, ama-7354, ame-7305, ame-7412, ame-8129, ame-8312 Objective 2 Apply basic concepts of probability. A. Write the results of a probability experiment as a fraction, ratio, or percent between zero and one. SE/TE: How Likely Is It? 5, 11-12, 13-19, 20-21, 22-26, 28-37, 44-53, 55-59, 62-68, 72, 73 TE: How Likely Is It? 14, 29-32, 33-34, 35, 36, 37-40, 41-44, 45-48, 53-56, 58, 71-73, 75, 76-78, 79-82, 87-88, 95 B. Compare experimental results with anticipated results (e.g., experimental: 7 out of 10 tails; whereas, anticipated 5 out of 10 tails). 7154, ame-7108, ama-7254, ame-7212, ama- 7354, ame-7305, ame-9031, ame-7412, ama- 7454, amj-7051 SE/TE: How Likely Is It? 5, 11-12, 13-19, 20-21, 22-26, 28-37, 44-53, 55-59, 62-68, 72, 73 23

24 C. Compare individual, small group, and large group results for a probability experiment. TE: How Likely Is It? 14, 29-32, 33-34, 35, 36, 37-40, 41-44, 45-48, 53-56, 58, 71-73, 75, 76-78, 79-82, 87-88, , ame-7108, ama-7254, ame-7212, ama- 7354, ame-7305, ame-9031, ame-7412, ama- 7454, amj-7051 SE/TE: How Likely Is It? 5, 11-12, 13-19, 20-21, 22-26, 28-37, 44-53, 55-59, 62-68, 72, 73 TE: How Likely Is It? 14, 29-32, 33-34, 35, 36, 37-40, 41-44, 45-48, 53-56, 58, 71-73, 75, 76-78, 79-82, 87-88, , ame-7108, ama-7254, ame-7212, ama- 7354, ame-7305, ame-9031, ame-7412, ama- 7454, amj

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