CORRELATON BENCHMARKS SUBJECT: Mathematics SUBMSSON TTLE: Connected Mathematics, Grade 6 Units 2004 PUBLSHER: Pearson Education, nc. publishing as Prentice Hall GRADE: 6 BENCHMARK A. NUMBER SENSE, CONCEPTS, AND OPERATONS PAGES(S) OR LOCATONS(S) /M* 1. The student understands the different ways numbers are represented and used in the real world. The student: 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. Bits and Pieces : Understanding Rational Numbers SE/ Fund-Raising Fractions, 5-18; Comparing Fractions, 19-30; Cooking with Fractions, 31-38; From Fractions to Decimals, 39-52; Moving Between Fractions and Decimals, 53-66; Out of One Hundred, 67-83 4b, 18a-18k, 18i, 30a-30k, 30l, 38a-38g, 38h, 52a-52j, 52l, 66a-66k, TR: 66l, 83a-84 Labsheets 1.5, 3.1, 4.1, 4.2, 4.ACE, 5.1, 5.2, 6.1, 6.3, 6.ACE; Transparencies 1.1A to 1.5, 2.1 to 2.5, 3.1 to 3.2B, 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.4B Bits and Pieces : Using Rational Numbers SE/ Using Percents, 5-17; More About Percents, 18-30 4b, 17a-17g, 17h, 30a-30f TR: Labsheets 1.2A, 1.2B; Transparencies 1.1 to 1.4, 2.1 to 2.4 1
BENCHMARK PAGES(S) OR LOCATONS(S) /M* Bits and Pieces : Understanding Rational Numbers SE/ 5-14, 19-30, 31-38, 39-52, 53-66, 80-91, 169 14a-14e, 30a-34k, 38a-38g, 52a-52j, 66a-66k, 91a-91h TR: Labsheets 1.5, 3.1, 4.1, 4.2, 4 ACE, 5.1 to 5.2, 6.1, 6.3; Overhead Transparencies 1.1A to 1.1D, 2.1 to 2.5, 3.1 to 3.2B, 4.1 to 4.4, 5.1 to 5.3, 6.1 to 6.4B MA.A.1.3.2 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. Bits and Pieces : Using Rational Numbers SE/ 5-17, 18-30, 32-42, 43-53, 54-63, 64-76 TR: 17a-17g, 30a-30f, 42a-42c, 53a-53i, 63a-63h, 76a-76j Labsheets 1.2A to 1.2B, 4.1, 5.1, 6.1; Overhead Transparencies 1.1 to 1.4, 2.1 to 2.4, 3.1 to 3.2, 4.1 to 4.4, 5.1 to 5.4, 6.1 to 8.5 MA.A.1.3.3 understands concrete and symbolic representations of rational numbers and irrational numbers in real-world situations. MA.A.1.3.4 understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, and absolute value. Bits and Pieces : Understanding Rational Numbers SE/ Fund-Raising Fractions, 5-18; Comparing Fractions, 19-30; Cooking with Fractions, 31-38; From Fractions to Decimals, 39-52; Moving Between Fractions and Decimals, 53-66 TR: 4b, 18a-18k, 18i, 30a-30k, 30l, 38a-38g, 38h, 52a-52j, 52l, 66a-66k Labsheets 1.5, 3.1, 4.1, 4.2, 4.ACE, 5.1, 5.2; Transparencies 1.1A to 1.5, 2.1 to 2.5, 3.1 to 3.2B, 4.1 to 4.4, 5.1 to 5.3 Bits and Pieces : Understanding Rational Numbers SE/ From Fractions to Decimals, 39-52; Moving Between Fractions and Decimals, 53-66; Out of One Hundred, 67-83 38h, 52a-52j, 52l, 66a-66k, 66l, 83a-84 TR: Labsheets 3.1, 4.1, 4.2, 4.ACE, 5.1, 5.2, 6.1, 6.3, 6.ACE; Transparencies 3.1 to 3.2B, 4.1 to 4.4, 5.1 to 5.3, 6.1A to 6.4B Bits and Pieces : Using Rational Numbers SE/ Using Percents, 5-17; More About Percents, 18-30; Estimating with Fractions and Decimals, 32-42 4b, 17a-17g, 17h, 30a-30f, 30h, 42a-42c 2
BENCHMARK PAGES(S) OR LOCATONS(S) /M* (Continued) (Continued) MA.A.1.3.4 Bits and Pieces : Using Rational Numbers understands that numbers can be represented in a variety TR: Labsheets 1.2A, 1.2B; Transparencies 1.1 to 1.4, 2.1 to 2.4, 3.1 to 3.2 of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, and absolute value. 2. The student understands number systems. MA.A.2.3.1 understands and uses exponential and scientific notation. MA.A.2.3.2 understands the structure of number systems other than the decimal number system. Prime Time: Factors and Multiples SE/ Factorizations, 46-57 45d, 57a-57f TR: Labsheets 5.1; Transparencies 5.1, 5.2 Prime Time: Factors and Multiples SE/ Factorizations, 46-57 45d, 57a-57f TR: Labsheets 5.1; Transparencies 5.1, 5.2 M M 3. The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving. The student: 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. Prime Time: Factors and Multiples SE/ Factor Pairs, 26-35; Common Factors and Multiples, 36-45; Factorizations, 46-57 25f, 35a-36f, 36h, 45a-45c, 45d, 57a-57f TR: Labsheets 5.1; Transparencies 3.1 to 3.3, 4.1 to 4.3, 5.1 to 5.3, 6.1 Bits and Pieces : Using Rational Numbers SE/ Using Percents, 5-17; More About Percents, 18-30; Estimating with Fractions and Decimals, 32-42; Adding and Subtracting Fractions, 43-53; Finding Areas and Other Products, 54-63; Computing with Decimals, 64-76; Dividing Fractions, 77-87 (TE 152-162) 3
BENCHMARK PAGES(S) OR LOCATONS(S) /M* (Continued) (Continued) Bits and Pieces : Using Rational Numbers 4b, 17a-17g, 17h, 30a-30f, 30h, 42a-42c, 42d, 53a-53i, 53j, 63a-63i, 63j, 76a-76j, 162a-162p, 163-164 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. TR: Labsheets 1.2A, 1.2B, 4.1, 6.1; Transparencies 1.1 to 1.4, 2.1 to 2.4, 3.1 to 3.2, 4.1 to 4.4, 5.1 to 5.4, 6.1 to 6.5 see also Grade 7 Unit: Accentuate the Negative: ntegers MA.A.3.3.2 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. MA.A.3.3.3 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. Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38; Moving Between Fractions and Decimals, 53-66 30l, 38a-38g, 52l, 66a-66k TR: Labsheets 3.1, 5.1, 5.2; Transparencies 3.1 to 3.2B, 5.1 to 5.3 Bits and Pieces : Using Rational Numbers SE/ Using Percents, 5-17; More About Percents, 18-30; Estimating with Fractions and Decimals, 32-42; Adding and Subtracting Fractions, 43-53; Finding Areas and Other Products, 54-63; Computing with Decimals, 64-76; Dividing Fractions, 77-87 (TE 152-162) 4b, 17a-17g, 17h, 30a-30f, 30h, 42a-42c, 42d, 53a-53i, 53j, 63a-63i, 63j, 76a-76j, 162a-162p, 163-164 TR: Labsheets 1.2A, 1.2B, 4.1, 6.1; Transparencies 1.1 to 1.4, 2.1 to 2.4, 3.1 to 3.2, 4.1 to 4.4, 5.1 to 5.4, 6.1 to 6.5 Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38; Moving Between Fractions and Decimals, 53-66 30l, 38a-38g, 52l, 66a-66k TR: Labsheets 3.1, 5.1, 5.2; Transparencies 3.1 to 3.2B, 5.1 to 5.3 4
BENCHMARK PAGES(S) OR LOCATONS(S) /M* (Continued) (Continued) Bits and Pieces : Using Rational Numbers SE/ Using Percents, 5-17; More About Percents, 18-30; Estimating with Fractions and Decimals, 32-42; Adding and Subtracting Fractions, 43-53; Finding Areas and Other Products, 54-63; Computing with Decimals, 64-76; Dividing Fractions, 77-87 (TE 152-162) MA.A.3.3.3 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. 4. The student uses estimation in problem solving and computation. The student: 4b, 17a-17g, 17h, 30a-30f, 30h, 42a-42c, 42d, 53a-53i, 53j, 63a-63i, 63j, 76a-76j, 162a-162p, 163-164 TR: Labsheets 1.2A, 1.2B, 4.1, 6.1; Transparencies 1.1 to 1.4, 2.1 to 2.4, 3.1 to 3.2, 4.1 to 4.4, 5.1 to 5.4, 6.1 to 6.5 MA.A.4.3.1 uses estimation strategies to predict results and to check the reasonableness of results. Bits and Pieces : Understanding Rational Numbers SE/ Comparing Fractions, 19-30; Moving Between Fractions and Decimals, 53-66 18i, 30a-30k, 52l, 66a-66k TR: Labsheets 5.1, 5.2; Transparencies 2.1 to 2.5, 5.1 to 5.3 Bits and Pieces : Using Rational Numbers SE/ Using Percents, 5-17; Estimating with Fractions and Decimals, 32-42; Adding and Subtracting Fractions, 43-53; Finding Areas and Other Products, 54-63; Computing with Decimals, 64-76 4b, 17a-17g, 30h, 42a-42c, 42d, 53a-53i, 53j, 63a-63i, 63j, 76a-76j TR: Labsheets 1.2A, 1.2B, 4.1, 6.1; Transparencies 1.1 to 1.4, 3.1 to 3.2, 4.1 to 4.4, 5.1 to 5.4, 6.1 to 6.5 5
BENCHMARK PAGES(S) OR LOCATONS(S) /M* 5. The student understands and applies theories related to numbers. The student: MA.A.5.3.1 uses concepts about numbers, including primes, factors, and multiples, to build number sequences. B. MEASUREMENT Prime Time: Factors and Multiples SE/ The Factor Game, 6-16; The Product Game, 17-25; Factor Pairs, 26-35; Common Factors and Multiples, 36-45; Factorizations, 46-57; The Locker Problem, 58-64 5b, 16a-16e, 16f, 25a-25e, 25f, 35a-36f, 36h, 45a-45c, 45d, 57a-57f, 57h, 64a-64b TR: Labsheets 1.1, 1.2, 2.1, 5.1; Transparencies 1.1 to 1.2B, 2.1 to 2.3, 3.1 to 3.3, 4.1 to 4.3, 5.1 to 5.3, 6.1 1. The student measures quantities in the real world and uses the measures to solve problems. The student: 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 three-dimensional shapes, including rectangular solids and cylinders. SE/ Measuring Parallelograms, 46-55; Measuring Triangles, 56-68; Going Around in Circles, 69-81 45h, 55a-55g, 55h, 68a-68g, 68h, 81a-81i TR: Labsheets 4.ACE, 5.1, 6.1, 7.4; Transparencies 4.1 to 4.2, 5.1 to 5.3, 6.1 to 6.3, 7.1 to 7.5 Ruins of Montarek: Spatial Visualization SE/ Building Plans, 7-25; Making Buildings, 26-39; Describing Unique Buildings, 40-51 6b, 25a-25l, 25n, 39a-39g, 39h, 51a-51g TR: Labsheets 1.2A, 1.2B, 1.ACE, 3.1; Transparencies 1.1A to 1.6B, 2.1A to 2.3, 3.1 to 3.3 see also Grade 7 Unit: Filling and Wrapping: Three-Dimensional Measurement 6
BENCHMARK PAGES(S) OR LOCATONS(S) /M* MA.B.1.3.2 uses concrete and graphic models to derive formulas for Shapes and Designs: Two-Dimensional Geometry SE/ Polygons and Angles, 22-41; Side-Angle-Shape Connections, 51-63 finding rates, distance, time, and angle measures. 14f, 21a-21g, 21h, 41a-41k, 50j, 63a-63f TR: Labsheets 3.4, 3.5, 3.6; Transparencies 3.1 to 3.6, 5.1 to 5.2, Computers (optional), Turtle Math Software (optional) Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38 30l, 38a-38g TR: Labsheets 3.1; Transparencies 3.1 to 3.2B see also Grade 7 units: Variables and Patterns: ntroducing Algebra; Moving Straight Ahead: Linear Relationships MA.B.1.3.3 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. Shapes and Designs: Two-Dimensional Geometry SE/ Bees and Polygons, 8-14; Building Polygons, 15-21; Turtle Tracks, 64-75 7b, 14a-14d, 14f, 21a-21g, 63h, 75a-75h TR: Transparencies 1.1, 2.1 to 2.3, 6.1 to 6.3, Computers (optional), Turtle Math Software (optional) SE/ Constant Area, Changing Perimeter, 29-34; Constant Perimeter, Changing Area, 35-45 28d, 34a-34f, 34h, 45a-45f TR: Labsheets 4.ACE; Transparencies 3.1 to 3.2, 4.1 to 4.2 Ruins of Montarek: Spatial Visualization SE/ Building Plans, 7-25; Making Buildings, 26-39; Describing Unique Buildings, 40-51 6b, 25a-25l, 25n, 39a-39g, 39h, 51a-51g Ruins of Montarek: Spatial Visualization TR: Labsheets 1.2A, 1.2B, 1.ACE, 3.1; Transparencies 1.1A to 1.6B, 2.1A to 2.3, 3.1 to 3.3 see also Grade 7 Unit: Filling and Wrapping: Three-Dimensional Measurement 7
BENCHMARK PAGES(S) OR LOCATONS(S) /M* MA.B.1.3.4 constructs, interprets, and uses scale drawings such as Data About Us: Statistics SE/ Coordinate Graphs, 42-52 those based on number lines and maps to solve real-world 41j, 52a-52g problems. TR: Labsheets 4.2, 4.ACE; Transparencies 4.1 to 4.2 Bits and Pieces : Using Rational Numbers SE/ Adding and Subtracting Fractions, 43-53; Finding Areas and Other Products, 54-63 42d, 53a-53i, 53j, 63a-63i TR: Labsheets 4.1; Transparencies 4.1 to 4.4, 5.1 to 5.4 see also Grade 7 Units: Stretching and Shrinking: Similarity; Comparing and Scaling: Ratio, Proportion, and Percent 2. The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard and metric/customary). The student: MA.B.2.3.1 uses direct (measured) and indirect (not measured) measures to compare a given characteristic in either metric or customary units. Data About Us: Statistics SE/ Coordinate Graphs, 42-52 41j, 52a-52g TR: Labsheets 4.2, 4.ACE; Transparencies 4.1 to 4.2 Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38 30l, 38a-38g TR: Labsheets 3.1; Transparencies 3.1 to 3.2B SE/ Measuring Odd Shapes, 19-28; Constant Area, Changing Perimeter, 29-34; Constant Perimeter, Changing Area, 35-45; Measuring Parallelograms, 46-55; Measuring Triangles, 56-68; Going Around in Circles, 69-81 18l, 28a-28c, 28d, 34a-34f, 34h, 45a-45f, 45h, 55a-55g, 55h, 68a-68g, 68h, 81a-81i 8
BENCHMARK PAGES(S) OR LOCATONS(S) /M* (Continued) (Continued) MA.B.2.3.1 uses direct (measured) and indirect (not measured) measures to compare a given characteristic in either metric TR: Labsheets 4.ACE, 5.1, 6.1, 7.4; Transparencies 2.1, 3.1 to 3.2, 4.1 to 4.2, 5.1 to 5.3, 6.1 to 6.3, 7.1 to 7.5 or customary units. MA.B.2.3.2 solves problems involving units of measure and converts answers to a larger or smaller unit within either the metric or customary system. Prime Time: Factors and Multiples SE/ Factor Pairs, 26-35 25f, 35a-36f TR: Transparencies 3.1 to 3.3 Data About Us: Statistics SE/ Coordinate Graphs, 42-52 41j, 52a-52g TR: Labsheets 4.2, 4.ACE; Transparencies 4.1 to 4.2 Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38 30l, 38a-38g TR: Labsheets 3.1; Transparencies 3.1 to 3.2B SE/ Measuring Perimeter and Area, 6-18; Measuring Odd Shapes, 19-28; Constant Area, Changing Perimeter, 29-34; Constant Perimeter, Changing Area, 35-45; Going Around in Circles, 69-81 5b, 18a-18j, 18l, 28a-28c, 28d, 34a-34f, 34h, 45a-45f, 68h, 81a-81i TR: Labsheets 4.ACE, 7.4; Transparencies 1.1 to 1.4, 2.1, 3.1 to 3.2, 4.1 to 4.2, 7.1 to 7.5 Bits and Pieces : Using Rational Numbers SE/ Finding Areas and Other Products, 54-63 53j, 63a-63i TR: Transparencies 5.1 to 5.4 see also Grade 7 Unit: Filling and Wrapping: Three-Dimensional Measurement 9
BENCHMARK PAGES(S) OR LOCATONS(S) /M* 3. The student estimates measurements in real-world problem situations. The student: 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. Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38 30l, 38a-38g TR: Labsheets 3.1; Transparencies 3.1 to 3.2B SE/ Measuring Perimeter and Area, 6-18; Measuring Odd Shapes, 19-28; Going Around in Circles, 69-81 5b, 18a-18j, 18l, 28a-28c, 68h, 81a-81i TR: Labsheets 7.4; Transparencies 1.1 to 1.4, 2.1, 7.1 to 7.5 Bits and Pieces : Using Rational Numbers SE/ Estimating with Fractions and Decimals, 32-42; Adding and Subtracting Fractions, 43-53; Finding Areas and Other Products, 54-63; Computing with Decimals, 64-76 30h, 42a-42c, 42d, 53a-53i, 53j, 63a-63i, 63j, 76a-76j TR: Labsheets 4.1, 6.1; Transparencies 3.1 to 3.2, 4.1 to 4.4, 5.1 to 5.4, 6.1 to 6.5 4. The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in realworld situations. The student: MA.B.4.3.1 selects appropriate units of measurement and determines and applies significant digits in a real-world context. (Significant digits should relate to both instrument precision and to the least precise unit of measurement). Shapes and Designs: Two-Dimensional Geometry SE/ Polygons and Angles, 22-41 21h, 41a-41k TR: Labsheets 3.4, 3.5, 3.6; Transparencies 3.1 to 3.6 Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38 30l, 38a-38g 10
BENCHMARK PAGES(S) OR LOCATONS(S) /M* (Continued) (Continued) MA.B.4.3.1 Bits and Pieces : Understanding Rational Numbers selects appropriate units of measurement and determines TR: Labsheets 3.1; Transparencies 3.1 to 3.2B and applies significant digits in a real-world context. (Significant digits should relate to both instrument precision and to the least precise unit of measurement). SE/ Measuring Odd Shapes, 19-28 18l, 28a-28c, 28d, 34a-34f TR: Transparencies 2.1, 3.1 to 3.2 Bits and Pieces : Using Rational Numbers SE/ Using Percents, 5-17; More About Percents, 18-30; Estimating with Fractions and Decimals, 32-42 4b, 17a-17g, 17h, 30a-30f, 30h, 42a-42c TR: Labsheets 1.2A, 1.2B; Transparencies 1.1 to 1.4, 2.1 to 2.4, 3.1 to 3.2 MA.B.4.3.2 selects and uses appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation. Shapes and Designs: Two-Dimensional Geometry SE/ Polygons and Angles, 22-41 21h, 41a-41k TR: Labsheets 3.4, 3.5, 3.6; Transparencies 3.1 to 3.6 Bits and Pieces : Understanding Rational Numbers SE/ Cooking with Fractions, 31-38 30l, 38a-38g TR: Labsheets 3.1; Transparencies 3.1 to 3.2B SE/ Measuring Odd Shapes, 19-28 18l, 28a-28c, 28d, 34a-34f TR: Transparencies 2.1, 3.1 to 3.2 11
BENCHMARK PAGES(S) OR LOCATONS(S) /M* C. GEOMETRY AND SPATAL SENSE 1. The student describes, draws, identifies, and analyzes two-and three-dimensional shapes. The student: MA.C.1.3.1 understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two-and three-dimensions. Shapes and Designs: Two-Dimensional Geometry SE/ Bees and Polygons, 8-14; Building Polygons, 15-21; Polygons and Angles, 22-41; Polygon Properties and Tiling, 42-50; Side-Angle- Shape Connections, 51-63; Turtle Tracks, 64-75 7b, 14a-14d, 14f, 21a-21g, 21h, 41a-41k, 41l, 50a-50i, 50j, 63a-63f, 63h, 75a-75h TR: Labsheets 3.4, 3.5, 3.6, 4.2; Transparencies 1.1, 2.1 to 2.3, 3.1 to 3.6, 4.1 to 4.3, 5.1 to 5.2, 6.1 to 6.3, Computers (optional), Turtle Math Software (optional) SE/ Measuring Parallelograms, 46-55; Measuring Triangles, 56-68; Going Around in Circles, 69-81 45h, 55a-55g, 55h, 68a-68g, 68h, 81a-81i TR: Labsheets 5.1, 6.1, 7.4; Transparencies 5.1 to 5.3, 6.1 to 6.3, 7.1 to 7.5 Ruins of Montarek: Spatial Visualization SE/ Building Plans, 7-25; Making Buildings, 26-39; Describing Unique Buildings, 40-51; sometric Dot Paper Representations, 52-61; Ziggurats, 62-71; Seeing the sometric View, 72-81 6b, 25a-25l, 25n, 39a-39g, 39h, 51a-51g, 51h, 61a-61k, 61l, 71a-71d, 71f, 81a-81g TR: Labsheets 1.2A, 1.2B, 1.ACE, 3.1, 4.2, 6.1, 6.4; Transparencies 1.1A to 1.6B, 2.1A to 2.3, 3.1 to 3.3, 4.1 to 4.4, 6.1 to 6.4, 5.1 to 5.2 see also Grade 7 Unit: Filling and Wrapping: Three-Dimensional Measurement 12
BENCHMARK PAGES(S) OR LOCATONS(S) /M* 2. The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed. The student: MA.C.2.3.1 understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism, and transformations, including flips, slides, turns, and enlargements. Shapes and Designs: Two-Dimensional Geometry SE/ Bees and Polygons, 8-14; Building Polygons, 15-21; Polygons and Angles, 22-41; Polygon Properties and Tiling, 42-50; Side-Angle- Shape Connections, 51-63; Turtle Tracks, 64-75 7b, 14a-14d, 14f, 21a-21g, 21h, 41a-41k, 41l, 50a-50i, 50j, 63a-63f, 63h, 75a-75h TR: Labsheets 3.4, 3.5, 3.6, 4.2; Transparencies 1.1, 2.1 to 2.3, 3.1 to 3.6, 4.1 to 4.3, 5.1 to 5.2, 6.1 to 6.3, Computers (optional), Turtle Math Software (optional) SE/ Measuring Perimeter and Area, 6-18; Measuring Odd Shapes, 19-28; Constant Area, Changing Perimeter, 29-34; Constant Perimeter, Changing Area, 35-45; Measuring Parallelograms, 46-55; Measuring Triangles, 56-68; Going Around in Circles, 69-81 TR: 5b, 18a-18j, 18l, 28a-28c, 28d, 34a-34f, 34h, 45a-45f, 45h, 55a-55g, 55h, 68a-68g, 68h, 81a-81i Labsheets 4.ACE, 5.1, 6.1, 7.4; Transparencies 1.1 to 1.4, 2.1, 3.1 to 3.2, 4.1 to 4.2, 5.1 to 5.3, 6.1 to 6.3, 7.1 to 7.5 Ruins of Montarek: Spatial Visualization SE/ Building Plans, 7-25; Making Buildings, 26-39; Describing Unique Buildings, 40-51; sometric Dot Paper Representations, 52-61; Ziggurats, 62-71; Seeing the sometric View, 72-81 6b, 25a-25l, 25n, 39a-39g, 39h, 51a-51g, 51h, 61a-61k, 61l, 71a-71d, 71f, 81a-81g TR: Labsheets 1.2A, 1.2B, 1.ACE, 3.1, 4.2, 6.1, 6.4; Transparencies 1.1A to 1.6B, 2.1A to 2.3, 3.1 to 3.3, 4.1 to 4.4, 5.1 to 5.2, 6.1 to 6.4 13
BENCHMARK PAGES(S) OR LOCATONS(S) /M* MA.C.2.3.2 predicts and verifies patterns involving tessellations (a Shapes and Designs: Two-Dimensional Geometry SE/ Polygon Properties and Tiling, 42-50 covering of a plane with congruent copies of the same 41l, 50a-50i pattern with no holes and no overlaps, like floor tiles). TR: Labsheets 4.2; Transparencies 4.1 to 4.3 3. The student uses coordinate geometry to locate objects in both two-and three-dimensions and to describe objects algebraically. The student: MA.C.3.3.1 represents and applies geometric properties and relationships to solve real-world and mathematical problems. MA.C.3.3.2 identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines. Shapes and Designs: Two-Dimensional Geometry SE/ Bees and Polygons, 8-14; Building Polygons, 15-21; Polygons and Angles, 22-41; Polygon Properties and Tiling, 42-50; Side-Angle- Shape Connections, 51-63; Turtle Tracks, 64-75 7b, 14a-14d, 14f, 21a-21g, 21h, 41a-41k, 41l, 50a-50i, 50j, 63a-63f, 63h, 75a-75h TR: Labsheets 3.4, 3.5, 3.6, 4.2; Transparencies 1.1, 2.1 to 2.3, 3.1 to 3.6, 4.1 to 4.3, 5.1 to 5.2, 6.1 to 6.3, Computers (optional), Turtle Math Software (optional) Data About Us: Statistics SE/ Coordinate Graphs, 42-52 41j, 52a-52g TR: Labsheets 4.2, 4.ACE; Transparencies 4.1 to 4.2 Shapes and Designs: Two-Dimensional Geometry SE/ Turtle Tracks, 64-75 63h, 75a-75h TR: Transparencies 6.1 to 6.3 TECH: Computers (optional), Turtle Math Software (optional) 14
BENCHMARK PAGES(S) OR LOCATONS(S) /M* D. ALGEBRAC THNKNG 1. The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions. The student: 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. Prime Time: Factors and Multiples SE/ Factor Pairs, 26-35; Common Factors and Multiples, 36-45 25f, 35a-36f, 36h, 45a-45c TR: Labsheets 5.1; Transparencies 3.1 to 3.3, 4.1 to 4.3 Shapes and Designs: Two-Dimensional Geometry SE/ Polygon Properties and Tiling, 42-50 41l, 50a-50i TR: Labsheets 4.2; Transparencies 4.1 to 4.3 How Likely s t? Probability SE/ A First Look at Chance, 5-13 4b, 13a-13e TR: Labsheets 1.1A, 1.1B; Transparencies 1.1 to 1.2 Bits and Pieces : Using Rational Numbers SE/ Adding and Subtracting Fractions, 43-53; Finding Areas and Other Products, 54-63; Computing with Decimals, 64-76; Dividing Fractions, 77-87 (TE 152-162) 42d, 53a-53i, 53j, 63a-63i, 63j, 76a-76j, 162a-162p, 163-164 TR: Labsheets 4.1, 6.1; Transparencies 4.1 to 4.4, 5.1 to 5.4, 6.1 to 6.5 Ruins of Montarek: Spatial Visualization SE/ Ziggurats, 62-71 61l, 71a-71d TR: Transparencies 5.1 to 5.2 15
BENCHMARK PAGES(S) OR LOCATONS(S) /M* MA.D.1.3.2 creates and interprets tables, graphs, equations, and verbal Prime Time: Factors and Multiples SE/ Factor Pairs, 26-35 descriptions to explain cause-and-effect relationships. 25f, 35a-36f TR: Transparencies 3.1 to 3.3 Data About Us: Statistics SE/ Coordinate Graphs, 42-52; What Do We Mean by Mean?, 53-67 41j, 52a-52g, 52h, 67a-67o TR: Labsheets 4.2, 4.ACE; Transparencies 4.1 to 4.2, 5.1A to 5.5 SE/ Measuring Odd Shapes, 19-28 18l, 28a-28c TR: Transparencies 2.1 Bits and Pieces : Using Rational Numbers SE/ Computing with Decimals, 64-76 63j, 76a-76j TR: Labsheets 6.1; Transparencies 6.1 to 6.5 see also Grade 7 units: Variables and Patterns: ntroducing Algebra; Moving Straight Ahead: Linear Relationships 2. The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations. The student: MA.D.2.3.1 represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities. MA.D.2.3.2 uses algebraic problem-solving strategies to solve realworld problems involving linear equations and inequalities. see Grade 7 units: Variables and Patterns: ntroducing Algebra; Moving Straight Ahead: Linear Relationships see also Grade 7 units: Variables and Patterns: ntroducing Algebra; Moving Straight Ahead: Linear Relationships 16
BENCHMARK PAGES(S) OR LOCATONS(S) /M* E. DATA ANALYSS AND PROBABLTY 1. The student understands and uses the tools of data analysis for managing information. The student: 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. Data About Us: Statistics SE/ Looking at Data, 6-21; Types of Data, 22-29; Using Graphs to Group Data, 30-41; Coordinate Graphs, 42-52 TR: 5b, 21a-21k, 21l, 29a-29d, 29f, 41a-41h, 41j, 52a-52g Labsheets 4.2, 4.ACE; Transparencies 1.1 to 1.5, 2.1 to 2.2B, 3.1 to 3.2, 4.1 to 4.2 SE/ Measuring Odd Shapes, 19-28; Constant Area, Changing Perimeter, 29-34; Constant Perimeter, Changing Area, 35-45 18l, 28a-28c, 28d, 34a-34f, 34h, 45a-45f TR: Labsheets 4.ACE; Transparencies 2.1, 3.1 to 3.2, 4.1 to 4.2 How Likely s t? Probability SE/ A First Look at Chance, 5-13; More Experiments with Chance, 14-21; Using Spinners to Predict Chances, 22-28; Theoretical Probabilities, 29-41; Analyzing Games of Chance, 42-48; More About Games of Chance, 49-56; Probability and Genetics, 57-64 4b, 13a-13e, 13f, 21a-21c, 21d, 28a-28c, 28d, 41a-41d, 41f, 48a-48e, 48f, 56a-56b, 56d, 64a-64c TR: Labsheets 1.1A, 1.1B, 3.1, 3.ACE, 5.1; Transparencies 1.1 to 1.2, 2.1 to 2.2, 3.1, 4.1 to 4.3, 5.1, 6.1, 7.1 to 7.2 Bits and Pieces : Using Rational Numbers SE/ More About Percents, 18-30 17h, 30a-30f TR: Transparencies 2.1 to 2.4 17
BENCHMARK PAGES(S) OR LOCATONS(S) /M* MA.E.1.3.2 understands and applies the concepts of range and central tendency (mean, median, and mode). Data About Us: Statistics SE/ Looking at Data, 6-21; Types of Data, 22-29; Using Graphs to Group Data, 30-41; Coordinate Graphs, 42-52; What Do We Mean by Mean?, 53-67 TR: 5b, 21a-21k, 21l, 29a-29d, 29f, 41a-41h, 41j, 52a-52g, 52h, 67a-67o Labsheets 4.2, 4.ACE; Transparencies 1.1 to 1.5, 2.1 to 2.2B, 3.1 to 3.2, 4.1 to 4.2, 5.1A to 5.5 MA.E.1.3.3 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. Data About Us: Statistics SE/ Looking at Data, 6-21; Types of Data, 22-29; Using Graphs to Group Data, 30-41; Coordinate Graphs, 42-52; What Do We Mean by Mean?, 53-67 TR: 5b, 21a-21k, 21l, 29a-29d, 29f, 41a-41h, 41j, 52a-52g, 52h, 67a-67o Labsheets 4.2, 4.ACE; Transparencies 1.1 to 1.5, 2.1 to 2.2B, 3.1 to 3.2, 4.1 to 4.2, 5.1A to 5.5 SE/ Measuring Odd Shapes, 19-28 18l, 28a-28c TR: Transparencies 2.1 ; Computers (optional) How Likely s t? Probability SE/ A First Look at Chance, 5-13 4b, 13a-13e TR: Labsheets 1.1A, 1.1B; Transparencies 1.1 to 1.2 ; Computers (optional) Bits and Pieces : Using Rational Numbers SE/ More About Percents, 18-30 17h, 30a-30f TR: Transparencies 2.1 to 2.4 ; Computers (optional) 18
BENCHMARK PAGES(S) OR LOCATONS(S) /M* 2. The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics. The student: MA.E.2.3.1 compares experimental results with mathematical expectations of probabilities. MA.E.2.3.2 determines odds for and odds against a given situation. How Likely s t? Probability SE/ Theoretical Probabilities, 29-41; Analyzing Games of Chance, 42-48; More About Games of Chance, 49-56; Probability and Genetics, 57-64 28d, 41a-41d, 41f, 48a-48e, 48f, 56a-56b, 56d, 64a-64c TR: Labsheets 5.1; Transparencies 4.1 to 4.3, 5.1, 6.1, 7.1 to 7.2 How Likely s t? Probability SE/ Analyzing Games of Chance, 42-48; More About Games of Chance, 49-56 41f, 48a-48e, 48f, 56a-56b TR: Labsheets 5.1; Transparencies 5.1, 6.1 3. The student uses statistical methods to make inferences and valid arguments about real-world situations. The student: 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. Data About Us: Statistics SE/ Coordinate Graphs, 42-52; What Do We Mean by Mean?, 53-67 41j, 52a-52g, 52h, 67a-67o TR: Labsheets 4.2, 4.ACE; Transparencies 4.1 to 4.2, 5.1A to 5.5 SE/ Measuring Odd Shapes, 19-28 18l, 28a-28c TR: Transparencies 2.1 How Likely s t? Probability SE/ More About Games of Chance, 49-56; Probability and Genetics, 57-64 48f, 56a-56b, 56d, 64a-64c TR: Transparencies 6.1, 7.1 to 7.2 19
BENCHMARK PAGES(S) OR LOCATONS(S) /M* MA.E.3.3.2 identifies the common uses and misuses of probability or statistical analysis in the everyday world. Data About Us: Statistics SE/ Looking at Data, 6-21; Types of Data, 22-29; Using Graphs to Group Data, 30-41; Coordinate Graphs, 42-52; What Do We Mean by Mean?, 53-67 TR: 5b, 21a-21k, 21l, 29a-29d, 29f, 41a-41h, 41j, 52a-52g, 52h, 67a-67o Labsheets 4.2, 4.ACE; Transparencies 1.1 to 1.5, 2.1 to 2.2B, 3.1 to 3.2, 4.1 to 4.2, 5.1A to 5.5 How Likely s t? Probability SE/ Theoretical Probabilities, 29-41; Analyzing Games of Chance, 42-48; More About Games of Chance, 49-56; Probability and Genetics, 57-64 28d, 41a-41d, 41f, 48a-48e, 48f, 56a-56b, 56d, 64a-64c TR: Labsheets 5.1; Transparencies 4.1 to 4.3, 5.1, 6.1, 7.1 to 7.2 *n-depth/mentioned 20