Connected Mathematics 2, 6th Grade Units 2006 Correlated to: Nebraska Mathematics Academic Standards (By the End of Grade 8)
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1 8.1 Numeration/Number Sense By the end of eighth grade, students will recognize natural numbers whole numbers, integers, and rational numbers. SE: Bits and Pieces I: 5 11, 12 18, 19 27, 28 34, 35 46, 47 53, 54 60, 61 68, TG: Bits and Pieces I: 17 26, 27 28, 29 34, 35 43, 44 50, 51 56, 57 62, 6366, 67 76, 77 84, 85 90, 91 96, , , , , , TR: Bits and Pieces I: Labsheets , , 2.5, , 3.5, 4.1, 4.4, 4.ACE EX 37 39; Notebook Check; Self Assessment TECH: Bits and Pieces I: Transparencies 1.1, 1.2A, 1.2B, 1.3A, 1.3B, 1.4, 2.1A, 2.1B, 2.2A, 2.2B, 2.5, 3.1A C, 3.2A E, 3.5A, 3.5B, 4.1A, 4.1B, 4.3, 4.4; Calculators; Exam View CD Rom; Teacher Express CD Rom; PHSchool.com,Web Code: amk 5500; Lesson Lab: PHSchool.com /cmp By the end of eighth grade, students will determine equivalences among fractions, decimals, and percents. SE: Bits and Pieces I: 19 20, 21 23, TG: Bits and Pieces I: 7, 46 50, TR: Bits and Pieces I: Labsheets, 2.1, 2.2; Notebook LBLA; Notebook Check; TECH: Bits and Pieces I: Transparency 2.1A, 2.1B, 2.2A, 2.2B; Calculators; Exam View CD Rom; ; PHSchool.com,Web Code: amk 5500; Lesson Lab: PHSchool.com /cmp By the end of eighth grade, students will write and use numbers in expanded exponential form and scientific notation By the end of eighth grade, students will identify and display numbers including prime and composite, factors and multiples, divisibility, powers, and properties. SE: Can be Developed From: Prime Time: 52, 57 TG: Can be Developed From: Prime Time: 82 83, SE: Prime Time Investigation: 6 21, 22 36, 37 48, 49 60, 61 69, TG: Prime Time: 16 51, 53 94,
2 TR: Prime Time: Labsheets 1.1 to 5.1B; Notebook Check; Self Assessment TECH: Prime Time: Calculators; Transparencies 1.1A to 5ACE; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com /cmp2; Exam View CD Rom; 8.2 Computation/Estimation By the end of eighth grade, students will add, subtract, multiply, and divide decimals and proper, improper, and mixed fractions with uncommon and common denominators with and without the use of technology. SE: Bits and Pieces II:16 18, 19 20, 21 22, 23, 24 30, 31, 32 33, 34 35, 36, 37 38, 39, 40 46, , 51, 52 53, 54, 55 62, 63 64; Bits and Pieces III:8 9, 10 11, 12, 13 19, 20, 21 22, 23, 24 25, 26 27, 28 34, 35, 36 37, 38 39, 40, 41 42, 43 48, 49, 50 51, 52 53, 54, 55 60, 61, 62 63, 64, 65 66, 67 72, 73, TG: Bits and Pieces II: 34 40, 41 46, 47 50, 51 54,5 58, 59 64, 65 70, 71 74, 75 80, 81 84, 85 88, 89 96, , , , ; Bits and Pieces III: 3 8, 15 20, 21 24, 25 28, 29 32, 33 35, 36 42, 43 46, 47 50, 51 56, 57 59, 60 64, 65 70, 71 74, 75 78, 79 82, 83 88, 89 92, 93 96, 97 99, , , , TR: Bits and Pieces II: Labsheets, 1.1A 1.1C, 2.1,2.2, 2ACE Exercise 1, 3.1; Notebook LBLA; Notebook Check; ; Bits and Pieces III: Labsheets, 2.4, 4.1, 4.2A, 4.2B, 5.3; Notebook LBLA; Notebook Check; TECH: Bits and Pieces II: Calculators; Transparencies 1.1, 2.1, 2.2, 2.4A, 2.4B, 3.2, 3.3, 3.4, 3.5, 4.1, 4.4; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; ; Bits and Pieces III: Calculators; Transparencies 1.1, 1.2, 1.3, 2.1, 2.3, 2.4, 3.2A, 3.2B, 3.3, 4.1A, 4.1B, 5.3 ; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; 2
3 8.2.2 By the end of eighth grade, students will identify the appropriate operation and do the correct calculations when solving word problems. SE: Bits and Pieces II:16 18, 19 20, 21 22, 23, 24 30, 31, 32 33, 34 35, 36, 37 38, 39, 40 46, , 51, 52 53, 54, 55 62, 63 64; Bits and Pieces III:8 9, 10 11, 12, 13 19, 20, 21 22, 23, 24 25, 26 27, 28 34, 35, 36 37, 38 39, 40, 41 42, 43 48, 49, 50 51, 52 53, 54, 55 60, 61, 62 63, 64, 65 66, 67 72, 73, TG: Bits and Pieces II: 34 40, 41 46, 47 50, 51 54,5 58, 59 64, 65 70, 71 74, 75 80, 81 84, 85 88, 89 96, , , , ; Bits and Pieces III: 3 8, 15 20, 21 24, 25 28, 29 32, 33 35, 36 42, 43 46, 47 50, 51 56, 57 59, 60 64, 65 70, 71 74, 75 78, 79 82, 83 88, 89 92, 93 96, 97 99, , , , TR: Bits and Pieces II: Labsheets, 1.1A 1.1C, 2.1,2.2, 2ACE Exercise 1, 3.1; Notebook LBLA; Notebook Check; ; Bits and Pieces III: Labsheets, 2.4, 4.1, 4.2A, 4.2B, 5.3; Notebook LBLA; Notebook Check; By the end of eighth grade, students will solve problems involving whole numbers, integers, and rational numbers (fractions, decimals, ratios, proportions, and percents) with and without the use of technology. TECH: Bits and Pieces II: Calculators; Transparencies 1.1, 2.1, 2.2, 2.4A, 2.4B, 3.2, 3.3, 3.4, 3.5, 4.1, 4.4; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; ; Bits and Pieces III: Calculators; Transparencies 1.1, 1.2, 1.3, 2.1, 2.3, 2.4, 3.2A, 3.2B, 3.3, 4.1A, 4.1B, 5.3 ; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; SE: Bits and Pieces II:16 18, 19 20, 21 22, 23, 24 30, 31, 32 33, 34 35, 36, 37 38, 39, 40 46, , 51, 52 53, 54, 55 62, 63 64; Bits and Pieces III:8 9, 10 11, 12, 13 19, 20, 21 22, 23, 24 25, 26 27, 28 34, 35, 36 37, 38 39, 40, 41 42, 43 48, 49, 50 51, 52 53, 54, 55 60, 61, 62 63, 64, 65 66, 67 72, 73,
4 TG: Bits and Pieces II: 34 40, 41 46, 47 50, 51 54,5 58, 59 64, 65 70, 71 74, 75 80, 81 84, 85 88, 89 96, , , , ; Bits and Pieces III: 3 8, 15 20, 21 24, 25 28, 29 32, 33 35, 36 42, 43 46, 47 50, 51 56, 57 59, 60 64, 65 70, 71 74, 75 78, 79 82, 83 88, 89 92, 93 96, 97 99, , , , TR: Bits and Pieces II: Labsheets, 1.1A 1.1C, 2.1,2.2, 2ACE Exercise 1, 3.1; Notebook LBLA; Notebook Check; ; Bits and Pieces III: Labsheets, 2.4, 4.1, 4.2A, 4.2B, 5.3; Notebook LBLA; Notebook Check; TECH: Bits and Pieces II: Calculators; Transparencies 1.1, 2.1, 2.2, 2.4A, 2.4B, 3.2, 3.3, 3.4, 3.5, 4.1, 4.4; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; ; Bits and Pieces III: Calculators; Transparencies 1.1, 1.2, 1.3, 2.1, 2.3, 2.4, 3.2A, 3.2B, 3.3, 4.1A, 4.1B, 5.3 ; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; By the end of eighth grade, students will apply the order of operations to solve problems with and without the use of technology. SE: Prime Time: 26, By the end of eighth grade, students will apply strategies of estimation when solving problems with and without the use of technology. SE: Bits and Pieces II: 5 7, 8 9, 10 12, 15, 36, 37 38, 41;Bits and Pieces III: 5 7 TG: Bits and Pieces II: 5, 19 24, 25 30, 31 33, 71 74, 75 80; Bits and Pieces III: 5 6, TR: Bits and Pieces II: Labsheets, 1.1A 1.1C; Notebook LBLA;Notebook Check; 4
5 TECH: Bits and Pieces II: Transparencies, 1.1, 3.3, 3.4; Calculators; Exam View CD Rom; Teacher Express CD Rom; PHSchool.com, Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Bits and Pieces III: Transparency 1.1; Calculators; Exam View CD Rom; ; PHSchool.com, Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2 8.3 Measurement By the end of eighth grade, students will select measurement tools and measure quantities for temperature, time, money, distance, angles, area, perimeter, volume, capacity, and weight/mass in standard and metric units at the designated level of precision. SE: Shapes and Designs: 27 29, 30 32, 33 35, 36 37, 40 48, 52, 53; Covering and Surrounding: 75, 81, 82 83, 86, 91 TG: Shapes and Designs: 6 7, 36 40, 41 44, 45 48, 49 52; Covering and Surrounding: TR: Shapes and Designs: Labsheets, Shapes Set, 2.2, 2.4; Notebook LBLA; Notebook Check; ; Covering and Surrounding: Labsheet, 5.3A, 5.3B; Notebook LBLA; Notebook Check; Self Assessment; Unit Test TECH: Shapes and Designs: Calculators; Transparencies, 2.1, 2.2A, 2.2B, 2.3, 2.4; ; Covering and Surrounding: Calculators; Transparencies, 5.3; By the end of eighth grade, students will convert units within measurement systems using standard and metric, given conversion factors. SE: Covering and Surrounding: 15 TG: Covering and Surrounding: 35 5
6 8.4 Geometry/Spatial Concepts By the end of eighth grade, students will identify, describe, compare, and classify two and three dimensional geometric figures such as plane figures like polygons and circles; solid figures like prisms, pyramids, cones, spheres, and cylinders; and lines, line segments, rays, angles, parallel and perpendicular lines. SE: Shapes and Designs: 8 11, 14 15, 17, 19, 54 55, 56 57, 70 71, 72 75, 84 86; Covering and Surrounding: 51 TG: Shapes and Designs: 21 22, 27 30, 63 66, 67 70, 83 86, 87 90; Covering and Surrounding: 86 TR: Shapes and Designs: Labsheets, 3.2, 4.1, 4.2; Notebook LBLA; Notebook Check; By the end of eighth grade, students will use geometric properties, the Pythagorean theorem, and the relationships of congruence, similarity, and symmetry. TECH: Shapes and Designs: Calculators; Transparencies, 1.1A E, 3.1A, 3.1B, 3.2, LBLA; SE: Covering and Surrounding: 57, 66 TG: Covering and Surrounding: TR: Covering and Surrounding: Notebook LBLA; Notebook Check; By the end of eighth grade, students will use formulas to solve problems involving perimeter and area of a square, rectangle, parallelogram, trapezoid and triangle, as well as the area and circumference of circles. TECH: Covering and Surrounding: PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; SE: Covering and Surrounding: 9, 15, 18, 37 39, 38 41, 42, 43, 44 51, 52, 53 55, 56 57, 66 67, 72 73, 75 76, 88 TG: Covering and Surrounding: 4 7, 27 32, 69 74, 93 96,
7 TR: Covering and Surrounding: Labsheets, 1.3, 3.2A, 3.2B, 4.2A, 4.2B; Notebook LBLA; Notebook Check; TECH: Labsheets, Calculators; Transparencies, 1.3A 1.3C, 3.2, 4.2, 5.2A, 5.2B; ; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; By the end of eighth grade, students will solve problems given formulas for volume and surface area of rectangular prisms, cylinders, and cones. SE: Can be developed using the following: Covering and Surrounding: TG: Can be developed using the following: Covering and Surrounding: By the end of eighth grade, students will apply transformations to two and three dimensional geometric figures. SE: Can be developed using the following: Shapes and Designs:12 13, 14 16, By the end of eighth grade, students will use geometric terms and representations to describe the physical world. TG: Can be developed using the following: Shapes and Designs: 5, 25 26, SE: Shapes and Designs: 8 11, 14 15, 17, 19, 54 55, 56 57, 70 71, 72 75, 84 86; Covering and Surrounding: 6, 9, 10, 14, 19 20, 26, 58 59, 66 67, 72 73, 75 76, 88 TG: Shapes and Designs: 21 22, 27 30, 63 66, 67 70, 83 86, 87 90; Covering and Surrounding: 21 22, 27 32, 69 74, 93 96, ; TR: Shapes and Designs: Labsheets, 3.2, 4.1, 4.2; Notebook LBLA; Notebook Check; ; Covering and Surrounding: Labsheets, 1.3, 3.2A, 3.2B, 4.2A, 4.2B 7
8 TECH: Shapes and Designs: Calculators; Transparencies, 1.1A E, 3.1A, 3.1B, 3.2, LBLA; ; Covering and Surrounding: Transparencies, 1.3A 1.3C, 3.2, 4.2, 5.2A, 5.2B 8.5 Data Analysis, Probability, and Statistical Concepts By the end of eighth grade, students will SE: Data About Us: 9 11, 12 13, 49 51, 52 53, collect, construct, and interpret data displays and 54 55, compute mean, median, and mode. TG: Data About Us: 7 8, 21 27, 29 30, 73 80, 81 86, TR: Data About Us: Notebook LBLA; Notebook Check; TECH: Data About Us: Calculators; Transparencies, 1.2A, 1.2B, 1.3, 3.1A 3.3B; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; By the end of eighth grade, students will read and interpret tables, charts, and graphs to make comparisons and predictions. SE: Data About Us: 7 10, 14 17, 18 20, 21 28, 30 33, 34 35, 36 39, 40 47, 49 51, 52 53, 54 55, 56 62, 64, TG: Data About Us: 17 20, 31 36, 37 40, 47 53, 55 56, 57 62, 63 66, 74 80, 81 86, TR: Data About Us: Labsheet 2.4; Notebook LBLA; Notebook Check; TECH: Data About Us:Calculators; Transparencies,1.1A, 1.1B, 1.4A 1.4C, 1.5A, 1.5B, 2.1A 2.1C, 2.2, 2.3A, 2.3B, 2.4, 3.1A, 3.1B, 3.2A, 3.2B, 3.3A, 3.3B; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; By the end of eighth grade, students will conduct experiments or simulations to demonstrate theoretical probability and relative frequency. SE: How Likely Is It? : 17 18, 22 23, 24 27, 28 37, 38, 39 40, 43, 44 53, 54, 56, 57 59, 60 61, 62 68, 69,
9 TG: How Likely Is It?: 3, 7, 37 40, 41 44, 59 62, 67 70, 76 78, 79 82, TR: How Likely Is It?: Labsheet 4.3; Notebook LBLA; Notebook Check; Self Assessment; Unit Test TECH: How Likely Is It?:Calculators; Transparencies, 3.1A, 3.1B, 3.1C, 4.1, 4.2, 4.3; By the end of eighth grade, students will identify statistical methods and probability for making decisions. SE: How Likely Is It?: 17 18, 22 23, 24 27, 28 37, 38, 39 40, 43, 44 53, 54, 56, 57 59, 60 61, 62 68, 69, 70 71; Data About Us:7, 25, 38, 42, 58, 67 TG: How Likely Is It?: 3, 7, 37 40, 41 44, 59 62, 67 70, 76 78, 79 82, TR: How Likely Is It?: Labsheet 4.3; Notebook LBLA; Notebook Check; Self Assessment; Unit Test 8.6 Algebraic Concepts By the end of eighth grade, students will demonstrate knowledge and use of the one and two dimensional coordinate systems. TECH: How Likely Is It?:Calculators; Transparencies, 3.1A, 3.1B, 3.1C, 4.1, 4.2, 4.3; SE: Data About Us: 36 37, TG: Data About Us: 7, 57 62, TR: Data About Us: Labsheet 2.4; Notebook LBLA; Notebook Check; TECH: Data About Us: Calculators; Transparencies 2.3A, 2.3B, 2.4; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com/cmp2; Exam View CD Rom; By the end of eighth grade, students will apply algebraic concepts and operations to solve linear equations and word problems. SE: Bits and Pieces I: 33; Bits and Pieces II: 21 22, 23, 26, 54, 59 60; Bits and Pieces III: 12, 15, 28, 44, 60, 71 9
10 TG: Bits and Pieces I: 33; Bits and Pieces II: 21 22, 23, 26, 54, 59 60; Bits and Pieces III: 12, 15, 28, 44, 60, 71 TR: Bits and Pieces II/ Bits and Pieces III : Notebook Check; Self Assessment;Notebook Check; Self Assessment TECH: Bits and Pieces II/ Bits and Pieces III: Calculators; Transparencies 4.4; PHSchool.com; Web Code: amk 5500; Lesson Lab: PHSchool.com /cmp2; Exam View CD Rom; Teacher Express CD Rom By the end of eighth grade, students will describe and represent relations, using tables, graphs, and rules. SE: Bits and Pieces I: 33; Bits and Pieces II: 21 22, 23, 26, 54, 59 60; Bits and Pieces III: 12, 15, 28, 44, 60, 71; Covering and Surrounding: 11, 17, 57, 86 ; Shapes and Designs: 67, 68; Data About Us: 36 37, TG: Bits and Pieces I: 33; Bits and Pieces II: 21 22, 23, 26, 54, 59 60; Bits and Pieces III: 12, 15, 28, 44, 60, 71; Data About Us: 7, 57 62, TR: Bits and Pieces II/ Bits and Pieces III, Data About Us: Notebook Check; Self Assessment;Notebook Check; Self Assessment TECH: Bits and Pieces II/ Bits and Pieces III, Data About Us: Calculators; Transparencies 4.4; Lab: PHSchool.com /cmp2; Exam View CD Rom; 10
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