CORRELATION SUNSHINE STATE STANDARDS

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1 CORRELATON SUNSHNE STATE STANDARDS SUBJECT: Mathematics SUBMSSON TTLE: Connected Mathematics, Grade 7 Units 2004 PUBLSHER: Pearson Education, nc. publishing as Prentice Hall GRADE: 7 STANDARDS NUMBER SENSE, CONCEPTS, AND OPERATONS PAGES(S) OR LOCATONS(S) /M* Standard 1: The student understands the different ways numbers are represented and used in the real world. (MA.A.1.3) 1. associates verbal names, written word names, and standard numerals with integers, fractions, decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. SE/ Making Comparisons, 5-15; Comparing by Finding Percents, b, 15a-15d, 15f, 25a-25d Transparencies 1.1 to 1.3, 2.1 to 2.2 Accentuate the Negative: ntegers SE/ Extending the Number Line, b, 17a-17f Transparencies 1.1A to 1.3 1

2 (Continued) (Continued) 1. associates verbal names, written word names, and standard numerals with integers, fractions, decimals; SE/ Comparing Large Numbers, 23-37; How Many is a Million?, numbers expressed as percents; numbers with 22f, 37a-37h, 37j, 50a-50g exponents; numbers in scientific notation; radicals; Labsheets 3.1A to 3.2, 4.2; Transparencies 3.1 to 3.4, 4.1 to 4.3 absolute value; and ratios. 2. understands the relative size of integers, fractions, and decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. SE/ Making Comparisons, 5-15; Comparing by Finding Percents, b, 15a-15d, 15f, 25a-25d Transparencies 1.1 to 1.3, 2.1 to 2.2 Accentuate the Negative: ntegers SE/ Extending the Number Line, b, 17a-17f Transparencies 1.1A to 1.3 SE/ Comparing Large Numbers, 23-37; How Many is a Million?, f, 37a-37h, 37j, 50a-50g Labsheets 3.1A to 3.2, 4.2; Transparencies 3.1 to 3.4, 4.1 to 4.3 2

3 3. understands concrete and symbolic representations of rational numbers and irrational numbers in real-world Variables and Patterns: ntroducing Algebra SE/ Patterns and Rules, 49-60; Using a Graphing Calculator, situations. 48n, 60a-60i, 60j, 68a-68e Labsheets 5.1; Transparencies 4.1A to 4.3B, 5.1 to 5.2, Graphing Calculators (introduced) SE/ Making Comparisons, 5-15; Comparing by Finding Percents, b, 15a-15d, 15f, 25a-25d Transparencies 1.1 to 1.3, 2.1 to 2.2 SE/ Comparing Large Numbers, 23-37; How Many is a Million?, f, 37a-37h, 37j, 50a-50g Labsheets 3.1A to 3.2, 4.2; Transparencies 3.1 to 3.4, 4.1 to 4.3 See also Grade 8 unit: Looking for Pythagoras: Geometry 4. understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, and absolute value. SE/ Making Comparisons, 5-15; Comparing by Finding Percents, b, 15a-15d, 15f, 25a-25d Transparencies 1.1 to 1.3, 2.1 to 2.2 Accentuate the Negative: ntegers SE/ Extending the Number Line, b, 17a-17f Transparencies 1.1A to 1.3 SE/ Comparing Large Numbers, 23-37; How Many is a Million?, f, 37a-37h, 37j, 50a-50g Labsheets 3.1A to 3.2, 4.2; Transparencies 3.1 to 3.4, 4.1 to 4.3 3

4 Standard 2: The student understands number systems. (MA.A.2.3) 1. understands and uses exponential and scientific notation. 2. understands the structure of number systems other than the decimal number system. SE/ How Many is a Million?, 38-50; Every Litter Bit Hurts, 51-60; On an Average Day, j, 50a-50g, 50h, 60a-60g, 60h, 69a-70 Labsheets 4.2; Transparencies 4.1 to 4.3, 5.1 to 5.4, 6.1 to 6.3 SE/ Measuring Oil Spills, 12-22; Comparing Large Numbers, f, 22a-22e, 22f, 37a-37h Labsheets 2.1, 3.1A to 3.2; Transparencies 2.1 to 2.3B, 3.1 to 3.4 4

5 Standard 3: The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving. (MA.A.3.3) 1. understands and explains the effects of addition, subtraction, multiplication, and division on whole numbers, fractions, including mixed numbers, and decimals, including the inverse relationships of positive and negative numbers. 2. selects the appropriate operation to solve problems involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations. Variables and Patterns: ntroducing Algebra SE/ Patterns and Rules, n, 60a-60i Transparencies 4.1A to 4.3B SE/ Making Comparisons, 5-15; Comparing by Finding Percents, 16-25; Comparing by Using Ratios, b, 15a-15d, 15f, 25a-25d, 25f, 36a-36g Transparencies 1.1 to 1.3, 2.1 to 2.2, 3.1 to 3.3 Accentuate the Negative: ntegers SE/ Extending the Number Line, 5-17; Adding ntegers, 18-33; Subtracting ntegers, 34-52; Multiplying and Dividing ntegers, 53-66; Coordinate Grids, b, 17a-17f, 17h, 33a-33l, 33n, 52a-52o, 52p, 66a-66j, 66l, 82a-82o Labsheets 4.3, 5.ACE; Transparencies 1.1A to 1.3, 2.1 to 2.2, 3.1A to 3.4, 4.1A to 4.4, 5.1A to 5.5, Graphing Calculators See also Grade 8 unit: Say t With Symbols: Algebra Variables and Patterns: ntroducing Algebra SE/ Variables and Coordinate Graphs, 5-17; Graphing Change, 18-35; Analyzing Graphs and Tables, 36-48; Patterns and Rules, 49-60; Using a Graphing Calculator, b, 17a-17e, 17f, 35a-35k, 35l, 48a-48m, 48n, 60a-60i, 60j, 68a-68e Labsheets 5.1; Transparencies 1.1 to 1.2B, 2.1A to 2.5, 3.1A to 3.4B, 4.1A to 4.3B, 5.1 to 5.2, Graphing Calculators (introduced) 5

6 (Continued) SE/ Comparing by Using Ratios, 26-36; Comparing by Finding Rates, 37-51; Estimating Populations and Population Densities, (Continued) 2. selects the appropriate operation to solve problems involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations. 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k, 64l, 81a-81g Transparencies 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.5 Accentuate the Negative: ntegers SE/ Adding ntegers, 18-33; Subtracting ntegers, 34-52; Multiplying and Dividing ntegers, h, 33a-33l, 33n, 52a-52o, 52p, 66a-66j Labsheets 4.3; Transparencies 2.1 to 2.2, 3.1A to 3.4, 4.1A to 4.4 Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, 15-34; Exploring Lines with a Graphing Calculator, 35-52; Solving Equations, 53-63; Exploring Slope, 64-79; Writing an Equation for a Line, b, 14a-14e, 14f, 34a-34q, 34r, 52a-52q, 52r, 63a-63i, 63j, 79a-79m, 79n, 91a-92 Transparencies 1.1A to 1.1D, 2.1 to 2.5, 3.1 to 3.4, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3 TECH: Graphing Calculators, Computers (optional) SE/ How Many is a Million?, 38-50; Every Litter Bit Hurts, 51-60; On an Average Day, j, 50a-50g, 50h, 60a-60g, 60h, 69a-70 Labsheets 4.2; Transparencies 4.1 to 4.3, 5.1 to 5.4, 6.1 to 6.3 6

7 3. adds, subtracts, multiplies, and divides whole numbers, decimals, and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator. SE/ Making Comparisons, 5-15; Comparing by Finding Percents, 16-25; Comparing by Using Ratios, 26-36; Comparing by Finding Rates, 37-51; Estimating Populations and Population Densities, 52-64; Choosing Strategies, b, 15a-15d, 15f, 25a-25d, 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k, 64l, 81a-81g Labsheets 6.3A to 6.ACE; Transparencies 1.1 to 1.3, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.5, 6.1 to 6.3B SE/ nterpreting Disaster Reports, 5-11; Measuring Oil Spills, 12-22; Comparing Large Numbers, 23-37; How Many is a Million?, 38-50; Every Litter Bit Hurts, 51-60; On an Average Day, b, 11a-11e, 11f, 22a-22e, 22f, 37a-37h, 37j, 50a-50g, 50h, 60a-60g, 60h, 69a-70 Labsheets 2.1, 3.1A to 3.2, 4.2; Transparencies 1.1A to 1.2B, 2.1 to 2.3B, 3.1 to 3.4, 4.1 to 4.3, 5.1 to 5.4, 6.1 to 6.3 7

8 Standard 4: The student uses estimation in problem solving and computation. (MA.A.4.3) 1. uses estimation strategies to predict results and to check the reasonableness of results. SE/ Comparing by Finding Percents, 16-25; Estimating Populations and Population Densities, f, 25a-25d, 51j, 64a-64k Transparencies 2.1 to 2.2, 5.1 to 5.5 SE/ How Many is a Million?, 38-50; Every Litter Bit Hurts, 51-60; On an Average Day, j, 50a-50g, 50h, 60a-60g, 60h, 69a-70 Labsheets 4.2; Transparencies 4.1 to 4.3, 5.1 to 5.4, 6.1 to 6.3 8

9 Standard 5: The student understands and applies theories related to numbers. (MA.A.5.3) 1. uses concepts about numbers, including primes, factors, and multiples, to build number sequences. Variables and Patterns: ntroducing Algebra SE/ Analyzing Graphs and Tables, 36-48; Patterns and Rules, l, 48a-48m, 48n, 60a-60i Transparencies 3.1A to 3.4B, 4.1A to 4.3B SE/ Making Comparisons, 5-15; Comparing by Finding Percents, 16-25; Comparing by Using Ratios, 26-36; Comparing by Finding Rates, 37-51; Estimating Populations and Population Densities, 52-64; Choosing Strategies, b, 15a-15d, 15f, 25a-25d, 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k, 64l, 81a-81g Labsheets 6.3A to 6.ACE; Transparencies 1.1 to 1.3, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.5, 6.1 to 6.3B Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, b, 14a-14e Transparencies 1.1A to 1.1D TECH: Graphing Calculators SE/ How Many is a Million?, j, 50a-50g Labsheets 4.2; Transparencies 4.1 to 4.3 See also Grade 6 unit: Prime Time: Factors and Multiples 9

10 MEASUREMENT Standard 1: The student measures quantities in the real world and uses the measures to solve problems. (MA.B.1.3) 1. uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two-and threedimensional shapes, including rectangular solids and cylinders. Stretching and Shrinking: Similarity SE/ Patterns of Similar Figures, 28-40; Using Similarity, 41-58; Similar Triangles, 59-74; Stretching and Shrinking with a Computer, n, 40a-40j, 40l, 58a-58h, 58j, 74a-74k, 74l, 84a-84h Labsheets 3.1 to 3.3; Transparencies 3.1A to 3.ACE, 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) Filling and Wrapping: Three-Dimensional Measurement SE/ Building Boxes, 5-14; Designing Packages, 15-23; Finding Volumes of Boxes, 24-36; Cylinders, b, 14a-14i, 14j, 23a-23f, 23h, 36a-36f, 36h, 45a-45h Labsheets 1.4 to 1.ACE, 4.2; Transparencies 1.1A to 1.4, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.3, Computers (optional) 10

11 2. uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures. Variables and Patterns: ntroducing Algebra SE/ Patterns and Rules, n, 60a-60i Transparencies 4.1A to 4.3B Stretching and Shrinking: Similarity SE/ Similar Figures, 14-27; Patterns of Similar Figures, 28-40; Stretching and Shrinking with a Computer, f, 27a-27l, 27n, 40a-40j, 74l, 84a-84h Labsheets 2.1A to 2.3B, 3.1 to 3.3; Transparencies 2.1A to 2.3B, 3.1A to 3.ACE, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) SE/ Comparing by Finding Rates, h, 51a-51h Transparencies 4.1 to 4.4 Moving Straight Ahead: Linear Relationships SE/ Walking Rates, 15-34; Patterns and Rules, f, 34a-34q Transparencies 2.1 to 2.5 TECH: Graphing Calculators, Computers (optional) 11

12 Stretching and Shrinking: Similarity SE/ Enlarging Figures, 5-13; Similar Figures, 14-27; Patterns of Similar Figures, 28-40; Using Similarity, 41-58; Similar Triangles, 59-74; Stretching and Shrinking with a Computer, understands and describes how the change of a figure in such dimensions as length, width, height, or radius affects its other measurements such as perimeter, area, surface area, and volume. 4b, 13a-13e, 13f, 27a-27l, 27n, 40a-40j, 40l, 58a-58h, 58j, 74a-74k, 74l, 84a-84h Labsheets 1.1A to 1.1B, 2.1A to 2.3B, 3.1 to 3.3; Transparencies 1.1A to 1.1B, 2.1A to 2.3B, 3.1A to 3.ACE, 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) Filling and Wrapping: Three-Dimensional Measurement SE/ Scaling Boxes, h, 67a-67g Transparencies 6.1 to 6.3, Computers (optional) 4. constructs, interprets, and uses scale drawings such as those based on number lines and maps to solve realworld problems. Stretching and Shrinking: Similarity SE/ Using Similarity, 41-58; Similar Triangles, 59-74; Stretching and Shrinking with a Computer, l, 58a-58h, 58j, 74a-74k, 74l, 84a-84h Transparencies 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) SE/ Estimating Populations and Population Densities, j, 64a-64k Transparencies 5.1 to

13 Standard 2: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard and metric/customary). (MA.B.2.3) 1. uses direct (measured) and indirect (not measured) measures to compare a given characteristic in either metric or customary units. Stretching and Shrinking: Similarity SE/ Using Similarity, 41-58; Similar Triangles, l, 58a-58h, 58j, 74a-74k Transparencies 4.1 to 4.4, 5.1 to 5.3 SE/ Comparing by Using Ratios, 26-36; Choosing Strategies, f, 36a-36g, 64l, 81a-81g Labsheets 6.3A to 6.ACE; Transparencies 3.1 to 3.3, 6.1 to 6.3B Filling and Wrapping: Three-Dimensional Measurement SE/ Building Boxes, 5-14; Designing Packages, 15-23; Finding Volumes of Boxes, 24-36; Cylinders, 37-45; Cones and Spheres, 46-56; Scaling Boxes, 57-67; Finding Volumes of rregular Objects, b, 14a-14i, 14j, 23a-23f, 23h, 36a-36f, 36h, 45a-45h, 45j, 56a-56f, 56h, 67a-67g, 67h, 72a Labsheets 1.4 to 1.ACE, 4.2; Transparencies 1.1A to 1.4, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3, 7.1, Computers (optional) SE/ Measuring Oil Spills, 12-22; Every Litter Bit Hurts, f, 22a-22e, 50h, 60a-60g Labsheets 2.1; Transparencies 2.1 to 2.3B, 5.1 to 5.4, 6.1 to

14 2. solves problems involving units of measure and converts answers to a larger or smaller unit within Stretching and Shrinking: Similarity SE/ Using Similarity, 41-58; Similar Triangles, either the metric or customary system. 40l, 58a-58h, 58j, 74a-74k Transparencies 4.1 to 4.4, 5.1 to 5.3 SE/ Making Comparisons, 5-15; Comparing by Using Ratios, 26-36; Comparing by Finding Rates, b, 15a-15d, 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k Transparencies 1.1 to 1.3, 3.1 to 3.3, 4.1 to 4.4 Filling and Wrapping: Three-Dimensional Measurement SE/ Scaling Boxes, 57-67; Finding Volumes of rregular Objects, h, 67a-67g, 67h, 72a Transparencies 6.1 to 6.3, 7.1, Computers (optional) SE/ Measuring Oil Spills, 12-22; Every Litter Bit Hurts, f, 22a-22e, 50h, 60a-60g Labsheets 2.1; Transparencies 2.1 to 2.3B, 5.1 to 5.4, 6.1 to

15 Standard 3: The student estimates measurements in real-world problem situations. (MA.B.3.3) 1. solves real-world and mathematical problems involving estimates of measurements including length, time, weight/mass, temperature, money, perimeter, area, and volume, in either customary or metric units. SE/ Making Comparisons, 5-15; Comparing by Finding Percents, 16-25; Comparing by Using Ratios, 26-36; Comparing by Finding Rates, 37-51; Estimating Populations and Population Densities, 52-64; Choosing Strategies, b, 15a-15d, 15f, 25a-25d, 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k, 64l, 81a-81g Labsheets 6.3A to 6.ACE; Transparencies 1.1 to 1.3, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.5, 6.1 to 6.3B Accentuate the Negative: ntegers SE/ Adding ntegers, 18-33; Subtracting ntegers, h, 33a-33l, 33n, 52a-52o Transparencies 2.1 to 2.2, 3.1A to 3.4 Filling and Wrapping: Three-Dimensional Measurement SE/ Finding Volumes of rregular Objects, h, 72a Transparencies 7.1 SE/ nterpreting Disaster Reports, 5-11; Measuring Oil Spills, 12-22; Comparing Large Numbers, 23-37; How Many is a Million?, 38-50; Every Litter Bit Hurts, 51-60; On an Average Day, b, 11a-11e, 11f, 22a-22e, 22f, 37a-37h, 37j, 50a-50g, 50h, 60a-60g, 60h, 69a-70 Labsheets 2.1, 3.1A to 3.2, 4.2; Transparencies 1.1A to 1.2B, 2.1 to 2.3B, 3.1 to 3.4, 4.1 to 4.3, 5.1 to 5.4, 6.1 to

16 Standard 4: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in real-world situations. (MA.B.4.3) 1. selects appropriate units of measurement and determines and applies significant digits in a realworld context. (Significant digits should relate to both instrument precision and to the least precise unit of measurement). Stretching and Shrinking: Similarity SE/ Similar Figures, 14-27; Patterns of Similar Figures, 28-40; Stretching and Shrinking with a Computer, f, 27a-27l, 27n, 40a-40j, 74l, 84a-84h Labsheets 2.1A to 2.3B, 3.1 to 3.3; Transparencies 2.1A to 2.3B, 3.1A to 3.ACE, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) SE/ Making Comparisons, 5-15; Comparing by Finding Percents, 16-25; Comparing by Using Ratios, 26-36; Comparing by Finding Rates, 37-51; Estimating Populations and Population Densities, 52-64; Choosing Strategies, b, 15a-15d, 15f, 25a-25d, 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k, 64l, 81a-81g Labsheets 6.3A to 6.ACE; Transparencies 1.1 to 1.3, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.5, 6.1 to 6.3B Filling and Wrapping: Three-Dimensional Measurement SE/ Building Boxes, 5-14; Designing Packages, 15-23; Finding Volumes of Boxes, 24-36; Cylinders, 37-45; Cones and Spheres, 46-56; Scaling Boxes, 57-67; Finding Volumes of rregular Objects, b, 14a-14i, 14j, 23a-23f, 23h, 36a-36f, 36h, 45a-45h, 45j, 56a-56f, 56h, 67a-67g, 67h, 72a Labsheets 1.4 to 1.ACE, 4.2; Transparencies 1.1A to 1.4, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3, 7.1, Computers (optional) 16

17 (Continued) SE/ nterpreting Disaster Reports, 5-11; Measuring Oil Spills, 12-22; Comparing Large Numbers, 23-37; How Many is a Million?, (Continued) 1. selects appropriate units of measurement and determines and applies significant digits in a realworld context. (Significant digits should relate to both instrument precision and to the least precise unit of measurement). 4b, 11a-11e, 11f, 22a-22e, 22f, 37a-37h, 37j, 50a-50g Labsheets 2.1, 3.1A to 3.2, 4.2; Transparencies 1.1A to 1.2B, 2.1 to 2.3B, 3.1 to 3.4, 4.1 to

18 Stretching and Shrinking: Similarity SE/ Similar Figures, 14-27; Patterns of Similar Figures, 28-40; Stretching and Shrinking with a Computer, selects and uses appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation. 13f, 27a-27l, 27n, 40a-40j, 74l, 84a-84h Labsheets 2.1A to 2.3B, 3.1 to 3.3; Transparencies 2.1A to 2.3B, 3.1A to 3.ACE, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) SE/ Making Comparisons, 5-15; Comparing by Finding Percents, 16-25; Comparing by Using Ratios, 26-36; Comparing by Finding Rates, 37-51; Estimating Populations and Population Densities, 52-64; Choosing Strategies, b, 15a-15d, 15f, 25a-25d, 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k, 64l, 81a-81g Labsheets 6.3A to 6.ACE; Transparencies 1.1 to 1.3, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.5, 6.1 to 6.3B Filling and Wrapping: Three-Dimensional Measurement SE/ Building Boxes, 5-14; Designing Packages, 15-23; Finding Volumes of Boxes, 24-36; Cylinders, 37-45; Cones and Spheres, 46-56; Scaling Boxes, 57-67; Finding Volumes of rregular Objects, b, 14a-14i, 14j, 23a-23f, 23h, 36a-36f, 36h, 45a-45h, 45j, 56a-56f, 56h, 67a-67g, 67h, 72a Labsheets 1.4 to 1.ACE, 4.2; Transparencies 1.1A to 1.4, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3, 7.1, Computers (optional) SE/ nterpreting Disaster Reports, 5-11; Measuring Oil Spills, 12-22; Comparing Large Numbers, 23-37; How Many is a Million?, b, 11a-11e, 11f, 22a-22e, 22f, 37a-37h, 37j, 50a-50g Labsheets 2.1, 3.1A to 3.2, 4.2; Transparencies 1.1A to 1.2B, 2.1 to 2.3B, 3.1 to 3.4, 4.1 to

19 GEOMETRY AND SPATAL SENSE Standard 1: The student describes, draws, identifies, and analyzes two-and three-dimensional shapes. (MA.C.1.3) 1. understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two-and three-dimensions. Stretching and Shrinking: Similarity SE/ Enlarging Figures, 5-13; Similar Figures, 14-27; Patterns of Similar Figures, 28-40; Using Similarity, 41-58; Similar Triangles, 59-74; Stretching and Shrinking with a Computer, b, 13a-13e, 13f, 27a-27l, 27n, 40a-40j, 40l, 58a-58h, 58j, 74a-74k, 74l, 84a-84h Labsheets 1.1A to 1.1B, 2.1A to 2.3B, 3.1 to 3.3; Transparencies 1.1A to 1.1B, 2.1A to 2.3B, 3.1A to 3.ACE, 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) Filling and Wrapping: Three-Dimensional Measurement SE/ Building Boxes, 5-14; Designing Packages, 15-23; Finding Volumes of Boxes, 24-36; Cylinders, 37-45; Cones and Spheres, 46-56; Scaling Boxes, 57-67; Finding Volumes of rregular Objects, b, 14a-14i, 14j, 23a-23f, 23h, 36a-36f, 36h, 45a-45h, 45j, 56a-56f, 56h, 67a-67g, 67h, 72a Labsheets 1.4 to 1.ACE, 4.2; Transparencies 1.1A to 1.4, 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3, 7.1, Computers (optional) 19

20 Standard 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed. (MA.C.2.3) 1. understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism, and transformations, including flips, slides, turns, and enlargements. 2. predicts and verifies patterns involving tessellations (a covering of a plane with congruent copies of the same pattern with no holes and no overlaps, like floor tiles). Stretching and Shrinking: Similarity SE/ Enlarging Figures, 5-13; Similar Figures, 14-27; Patterns of Similar Figures, 28-40; Using Similarity, 41-58; Similar Triangles, 59-74; Stretching and Shrinking with a Computer, b, 13a-13e, 13f, 27a-27l, 27n, 40a-40j, 40l, 58a-58h, 58j, 74a-74k, 74l, 84a-84h Labsheets 1.1A to 1.1B, 2.1A to 2.3B, 3.1 to 3.3; Transparencies 1.1A to 1.1B, 2.1A to 2.3B, 3.1A to 3.ACE, 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) See also Grade 8 unit: Kaleidoscopes, Hubcaps, and Mirrors: Symmetry and Transformations Stretching and Shrinking: Similarity SE/ Patterns of Similar Figures, n, 40a-40j Labsheets 3.1 to 3.3; Transparencies 3.1A to 3.ACE 20

21 Standard 3: The student uses coordinate geometry to locate objects in both two-and three-dimensions and to describe objects algebraically. (MA.C.3.3) 1. represents and applies geometric properties and relationships to solve real-world and mathematical problems. 2. identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines. Stretching and Shrinking: Similarity SE/ Enlarging Figures, 5-13; Similar Figures, 14-27; Patterns of Similar Figures, 28-40; Using Similarity, 41-58; Similar Triangles, 59-74; Stretching and Shrinking with a Computer, b, 13a-13e, 13f, 27a-27l, 27n, 40a-40j, 40l, 58a-58h, 58j, 74a-74k, 74l, 84a-84h Labsheets 1.1A to 1.1B, 2.1A to 2.3B, 3.1 to 3.3; Transparencies 1.1A to 1.1B, 2.1A to 2.3B, 3.1A to 3.ACE, 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) See also Grade 8 unit: Looking for Pythagoras: Geometry Stretching and Shrinking: Similarity SE/ Stretching and Shrinking with a Computer, l, 84a-84h Transparencies 6.1A to 6.2, Computers (optional), Turtle Math Software (optional) Accentuate the Negative: ntegers SE/ Coordinate Grids, l, 82a-82o Labsheets 5.ACE; Transparencies 5.1A to 5.5 TECH: Graphing Calculators Moving Straight Ahead: Linear Relationships SE/ Exploring Lines with a Graphing Calculator, r, 52a-52q Transparencies 3.1 to 3.4 TECH: Graphing Calculators, Computers (optional) 21

22 ALGEBRAC THNKNG Standard 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions. (MA.D.1.3) 1. describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities. Variables and Patterns: ntroducing Algebra SE/ Variables and Coordinate Graphs, 5-17; Graphing Change, 18-35; Analyzing Graphs and Tables, 36-48; Patterns and Rules, 49-60; Using a Graphing Calculator, b, 17a-17e, 17f, 35a-35k, 35l, 48a-48m, 48n, 60a-60i, 60j, 68a-68e Labsheets 5.1; Transparencies 1.1 to 1.2B, 2.1A to 2.5, 3.1A to 3.4B, 4.1A to 4.3B, 5.1 to 5.2, Graphing Calculators (introduced) Accentuate the Negative: ntegers SE/ Coordinate Grids, l, 82a-82o Labsheets 5.ACE; Transparencies 5.1A to 5.5 TECH: Graphing Calculators Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, 15-34; Exploring Lines with a Graphing Calculator, 35-52; Solving Equations, 53-63; Exploring Slope, 64-79; Writing an Equation for a Line, b, 14a-14e, 14f, 34a-34q, 34r, 52a-52q, 52r, 63a-63i, 63j, 79a-79m, 79n, 91a-92 Transparencies 1.1A to 1.1D, 2.1 to 2.5, 3.1 to 3.4, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3 TECH: Graphing Calculators, Computers (optional) 22

23 2. creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect Accentuate the Negative: ntegers SE/ Coordinate Grids, relationships. 66l, 82a-82o Labsheets 5.ACE; Transparencies 5.1A to 5.5 TECH: Graphing Calculators Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, 15-34; Exploring Lines with a Graphing Calculator, 35-52; Solving Equations, 53-63; Exploring Slope, 64-79; Writing an Equation for a Line, b, 14a-14e, 14f, 34a-34q, 34r, 52a-52q, 52r, 63a-63i, 63j, 79a-79m, 79n, 91a-92 Transparencies 1.1A to 1.1D, 2.1 to 2.5, 3.1 to 3.4, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3 TECH: Graphing Calculators, Computers (optional) 23

24 Standard 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations. (MA.D.2.3) 1. represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities. Variables and Patterns: ntroducing Algebra SE/ Variables and Coordinate Graphs, 5-17; Graphing Change, 18-35; Analyzing Graphs and Tables, 36-48; Patterns and Rules, 49-60; Using a Graphing Calculator, b, 17a-17e, 17f, 35a-35k, 35l, 48a-48m, 48n, 60a-60i, 60j, 68a-68e Labsheets 5.1; Transparencies 1.1 to 1.2B, 2.1A to 2.5, 3.1A to 3.4B, 4.1A to 4.3B, 5.1 to 5.2, Graphing Calculators (introduced) Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, 15-34; Exploring Lines with a Graphing Calculator, 35-52; Solving Equations, 53-63; Exploring Slope, 64-79; Writing an Equation for a Line, b, 14a-14e, 14f, 34a-34q, 34r, 52a-52q, 52r, 63a-63i, 63j, 79a-79m, 79n, 91a-92 Transparencies 1.1A to 1.1D, 2.1 to 2.5, 3.1 to 3.4, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3 TECH: Graphing Calculators, Computers (optional) 24

25 2. uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities. Variables and Patterns: ntroducing Algebra SE/ Variables and Coordinate Graphs, 5-17; Graphing Change, 18-35; Analyzing Graphs and Tables, 36-48; Patterns and Rules, 49-60; Using a Graphing Calculator, b, 17a-17e, 17f, 35a-35k, 35l, 48a-48m, 48n, 60a-60i, 60j, 68a-68e Labsheets 5.1; Transparencies 1.1 to 1.2B, 2.1A to 2.5, 3.1A to 3.4B, 4.1A to 4.3B, 5.1 to 5.2, Graphing Calculators (introduced) Accentuate the Negative: ntegers SE/ Extending the Number Line, 5-17; Adding ntegers, 18-33; Subtracting ntegers, 34-52; Multiplying and Dividing ntegers, 53-66; Coordinate Grids, b, 17a-17f, 17h, 33a-33l, 33n, 52a-52o, 52p, 66a-66j, 66l, 82a-82o Labsheets 4.3, 5.ACE; Transparencies 1.1A to 1.3, 2.1 to 2.2, 3.1A to 3.4, 4.1A to 4.4, 5.1A to 5.5, Graphing Calculators Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, 15-34; Exploring Lines with a Graphing Calculator, 35-52; Solving Equations, 53-63; Exploring Slope, 64-79; Writing an Equation for a Line, b, 14a-14e, 14f, 34a-34q, 34r, 52a-52q, 52r, 63a-63i, 63j, 79a-79m, 79n, 91a-92 Transparencies 1.1A to 1.1D, 2.1 to 2.5, 3.1 to 3.4, 4.1 to 4.3, 5.1 to 5.3, 6.1 to 6.3 TECH: Graphing Calculators, Computers (optional) 25

26 DATA ANALYSS AND PROBABLTY Standard 1: The student understands and uses the tools of data analysis for managing information. (MA.E.1.3) 1. collects, organizes, and displays data in a variety of forms, including tables, line graphs, charts, bar graphs, to determine how different ways of presenting data can lead to different interpretations. Variables and Patterns: ntroducing Algebra SE/ Variables and Coordinate Graphs, 5-17; Graphing Change, 18-35; Analyzing Graphs and Tables, 36-48; Patterns and Rules, b, 17a-17e, 17f, 35a-35k, 35l, 48a-48m, 48n, 60a-60i, 60j Transparencies 1.1 to 1.2B, 2.1A to 2.5, 3.1A to 3.4B, 4.1A to 4.3B SE/ Comparing by Finding Percents, 16-25; Comparing by Using Ratios, 26-36; Comparing by Finding Rates, 37-51; Estimating Populations and Population Densities, 52-64; Choosing Strategies, f, 25a-25d, 25f, 36a-36g, 36h, 51a-51h, 51j, 64a-64k, 64l, 81a-81g Labsheets 6.3A to 6.ACE; Transparencies 2.1 to 2.2, 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.5, 6.1 to 6.3B Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, b, 14a-14e, 14f, 34a-34q Transparencies 1.1A to 1.1D, 2.1 to 2.5 TECH: Graphing Calculators SE/ nterpreting Disaster Reports, 5-11; Measuring Oil Spills, 12-22; Every Litter Bit Hurts, 51-60; On an Average Day, b, 11a-11e, 11f, 22a-22e, 50h, 60a-60g, 60h, 69a-70 Labsheets 2.1; Transparencies 1.1A to 1.2B, 2.1 to 2.3B, 5.1 to 5.4, 6.1 to

27 2. understands and applies the concepts of range and central tendency (mean, median, and mode). SE/ nterpreting Disaster Reports, 5-11; Comparing Large Numbers, 23-37; Every Litter Bit Hurts, 51-60; On an Average Day, b, 11a-11e, 22f, 37a-37h, 50h, 60a-60g, 60h, 69a-70 Labsheets 3.1A to 3.2; Transparencies 1.1A to 1.2B, 3.1 to 3.4, 5.1 to 5.4, 6.1 to analyzes real-world data by applying appropriate formulas for measures of central tendency and organizing data in a quality display, using appropriate technology, including calculators and computers. SE/ nterpreting Disaster Reports, 5-11; Comparing Large Numbers, 23-37; Every Litter Bit Hurts, 51-60; On an Average Day, b, 11a-11e, 22f, 37a-37h, 50h, 60a-60g, 60h, 69a-70 Labsheets 3.1A to 3.2; Transparencies 1.1A to 1.2B, 3.1 to 3.4, 5.1 to 5.4, 6.1 to 6.3 Standard 2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics. (MA.E.2.3) 1. compares experimental results with mathematical expectations of probabilities. What Do You Expect? Probability and Expected Value SE/ Evaluating Games of Chance, 5-21; Analyzing Number-Cube Games, 22-31; Probability and Area, 32-40; Analyzing Two-Stage Games, 41-49; Expected Value, 50-58; Carnival Games, 59-68; Analyzing Sequences of Outcomes, b, 21a-21l, 21n, 31a-31h, 31j, 40a-40c, 40d, 49a-49l, 49n, 58a-58k, 58l, 68a-68m, 68n, 78a-78i Labsheets 1.2 to 1.3, 2.1 to 2.2, 5.1 to 5.2, 7.2; Transparencies 1.1 to 1.4, 2.1 to 2.2, 3.1A to 3.2C, 4.1 to 4.2, 5.1A to 5.2, 6.1 to 6.3, 7.1 to 7.2B, Computers (optional) 27

28 2. determines odds for and odds against a given situation. What Do You Expect? Probability and Expected Value SE/ Evaluating Games of Chance, 5-21; Analyzing Number-Cube Games, 22-31; Probability and Area, 32-40; Analyzing Two-Stage Games, 41-49; Expected Value, 50-58; Carnival Games, b, 21a-21l, 21n, 31a-31h, 31j, 40a-40c, 40d, 49a-49l, 49n, 58a-58k, 58l, 68a-68m Labsheets 1.2 to 1.3, 2.1 to 2.2, 5.1 to 5.2; Transparencies 1.1 to 1.4, 2.1 to 2.2, 3.1A to 3.2C, 4.1 to 4.2, 5.1A to 5.2, 6.1 to 6.3, Computers (optional) 28

29 Standard 3: The student uses statistical methods to make inferences and valid arguments about real-world situations. (MA.E.3.3) 1. formulates hypotheses, designs experiments, collects and interprets data, and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median, and mode) and tables, graphs, and charts. Variables and Patterns: ntroducing Algebra SE/ Variables and Coordinate Graphs, 5-17; Graphing Change, 18-35; Analyzing Graphs and Tables, b, 17a-17e, 17f, 35a-35k, 35l, 48a-48m, 48n Transparencies 1.1 to 1.2B, 2.1A to 2.5, 3.1A to 3.4B Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, b, 14a-14e, 14f, 34a-34q Transparencies 1.1A to 1.1D, 2.1 to 2.5 TECH: Graphing Calculators What Do You Expect? Probability and Expected Value SE/ Evaluating Games of Chance, 5-21; Analyzing Number-Cube Games, 22-31; Probability and Area, 32-40; Analyzing Two-Stage Games, 41-49; Expected Value, 50-58; Carnival Games, 59-68; Analyzing Sequences of Outcomes, b, 21a-21l, 21n, 31a-31h, 31j, 40a-40c, 40d, 49a-49l, 49n, 58a-58k, 58l, 68a-68m, 68n, 78a-78i Labsheets 1.2 to 1.3, 2.1 to 2.2, 5.1 to 5.2, 7.2; Transparencies 1.1 to 1.4, 2.1 to 2.2, 3.1A to 3.2C, 4.1 to 4.2, 5.1A to 5.2, 6.1 to 6.3, 7.1 to 7.2B, Computers (optional) 29

30 2. identifies the common uses and misuses of probability or statistical analysis in the everyday world. Variables and Patterns: ntroducing Algebra SE/ Variables and Coordinate Graphs, 5-17; Graphing Change, 18-35; Analyzing Graphs and Tables, b, 17a-17e, 17f, 35a-35k, 35l, 48a-48m Transparencies 1.1 to 1.2B, 2.1A to 2.5, 3.1A to 3.4B Moving Straight Ahead: Linear Relationships SE/ Predicting from Patterns, 5-14; Walking Rates, b, 14a-14e, 14f, 34a-34q Transparencies 1.1A to 1.1D, 2.1 to 2.5 TECH: Graphing Calculators What Do You Expect? Probability and Expected Value SE/ Evaluating Games of Chance, 5-21; Analyzing Number-Cube Games, 22-31; Probability and Area, 32-40; Analyzing Two-Stage Games, 41-49; Expected Value, 50-58; Carnival Games, 59-68; Analyzing Sequences of Outcomes, b, 21a-21l, 21n, 31a-31h, 31j, 40a-40c, 40d, 49a-49l, 49n, 58a-58k, 58l, 68a-68m, 68n, 78a-78i Labsheets 1.2 to 1.3, 2.1 to 2.2, 5.1 to 5.2, 7.2; Transparencies 1.1 to 1.4, 2.1 to 2.2, 3.1A to 3.2C, 4.1 to 4.2, 5.1A to 5.2, 6.1 to 6.3, 7.1 to 7.2B, Computers (optional) SE/ nterpreting Disaster Reports, 5-11; Measuring Oil Spills, 12-22; Every Litter Bit Hurts, 51-60; On an Average Day, b, 11a-11e, 11f, 22a-22e, 50h, 60a-60g, 60h, 69a-70 Labsheets 2.1; Transparencies 1.1A to 1.2B, 2.1 to 2.3B, 5.1 to 5.4, 6.1 to 6.3 *n-depth/mentioned 30