CORRELATION SUNSHINE STATE STANDARDS

Transcription

1 CORRELATON SUNSHNE STATE STANDARDS SUBJECT: MATHEMATCS SUBMSSON TTLE: CONNECTED MATHEMATCS, GRADE 8 UNTS 2004 PUBLSHER: PEARSON EDUCATON, NC. PUBLSHNG AS PRENTCE HALL GRADE: 8 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/ Finding Areas and Lengths, 17-26; rrational Numbers, h, 26a-26l, 52j, 63a-63g Labsheets 2.1 to 2.ACE, 5.1; Transparencies 2.1 to 2.3, 5.1 to 5.3 SE/ Exponential Growth, b, 16a-16i Labsheets 1.2; Transparencies 1.1 to 1.3 1

2 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. 3. understands concrete and symbolic representations of rational numbers and irrational numbers in real-world situations. 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. PAGES(S) OR LOCATONS(S) SE/ Finding Areas and Lengths, 17-26; rrational Numbers, h, 26a-26l, 52j, 63a-63g Labsheets 2.1 to 2.ACE, 5.1; Transparencies 2.1 to 2.3, 5.1 to 5.3 SE/ Exponential Growth, b, 16a-16i Labsheets 1.2; Transparencies 1.1 to 1.3 SE/ rrational Numbers, 53-63; Rational and rrational Slopes, j, 63a-63g, 63h, 72a-73 Labsheets 5.1, 6.2 to 6.ACE2; Transparencies 5.1 to 5.3, 6.1A to 6.2 SE/ Locating Points, 5-16; Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, b, 16a-16g, 16h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i Labsheets 1.3, 2.1 to 2.ACE, 3.2A to 3.3, 4.2; Transparencies 1.1A to 1.3, 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3 SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C /M* 2

3 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. PAGES(S) OR LOCATONS(S) SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C Clever Counting: Combinatorics SE/ (related topics) Counting Possibilities, 5-14; Opening Locks, b, 14a-14g, 14h, 26a-26h Transparencies 1.1 to 1.2, 2.1 to 2.3 /M* M 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. SE/ Finding Areas and Lengths, h, 26a-26l Labsheets 2.1 to 2.ACE; Transparencies 2.1 to 2.3 Kaleidoscopes, Hubcaps, and Mirrors: Symmetry and Transformations SE/ Transforming Coordinates, 42-58; Symmetry and Algebra, v, 58a-58n, 58p, 70a-70n 3.1A to 3.ACE3, 4.1A to 4.ACE; Transparencies 3.1A to 3.4, 4.1 to 4.3B, Computers (optional) 3

4 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. PAGES(S) OR LOCATONS(S) Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Growth Factors, h, 44a-44g Transparencies 3.1 to 3.3B Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, 34-52; Solving Equations, 53-64; Writing Expressions for Surface Area, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q, 52r, 64a-64t, 64v, 70a-70h Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B, 4.1 to 4.4C, 5.1 /M* 4

5 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. PAGES(S) OR LOCATONS(S) SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Locating Points, 5-16; Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, 41-52; rrational Numbers, 53-63; Rational and rrational Slopes, b, 16a-16g, 16h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i, 52j, 63a-63g, 63h, 72a-73 Labsheets 1.3, 2.1 to 2.ACE, 3.2A to 3.3, 4.2, 5.1, 6.2 to 6.ACE2; Transparencies 1.1A to 1.3, 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3, 5.1 to 5.3, 6.1A to 6.2 SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, 34-52; Solving Equations, 53-64; Writing Expressions for Surface Area, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q, 52r, 64a-64t, 64v, 70a-70h Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B, 4.1 to 4.4C, 5.1 /M* 5

6 STANDARD 4: The student uses estimation in problem solving and computation. (MA.A.4.3) PAGES(S) OR LOCATONS(S) /M* 1. uses estimation strategies to predict results and to check the reasonableness of results. SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Locating Points, 5-16; Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, 41-52; rrational Numbers, 53-63; Rational and rrational Slopes, b, 16a-16g, 16h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i, 52j, 63a-63g, 63h, 72a-73 Labsheets 1.3, 2.1 to 2.ACE, 3.2A to 3.3, 4.2, 5.1, 6.2 to 6.ACE2; Transparencies 1.1A to 1.3, 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3, 5.1 to 5.3, 6.1A to 6.2 SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C 6

7 1. uses estimation strategies to predict results and to check the reasonableness of results. PAGES(S) OR LOCATONS(S) Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, 34-52; Solving Equations, 53-64; Writing Expressions for Surface Area, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q, 52r, 64a-64t, 64v, 70a-70h Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B, 4.1 to 4.4C, 5.1 /M* 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. SE/ Linear Models, b, 25a-25n Labsheets 1.2, 3.ACE; Transparencies 1.1 to 1.5B SE/ rrational Numbers, 53-63; Rational and rrational Slopes, j, 63a-63g, 63h, 72a-73 Labsheets 5.1, 6.2 to 6.ACE2; Transparencies 5.1 to 5.3, 6.1A to 6.2 SE/ Exponential Growth, b, 16a-16i Labsheets 1.2; Transparencies 1.1 to 1.3 7

8 1. uses concepts about numbers, including primes, factors, and multiples, to build number sequences. PAGES(S) OR LOCATONS(S) SE/ Quadratic Patterns of Change, dd, 51a-51m Transparencies 3.1A to 3.2 Clever Counting: Combinatorics SE/ Counting Possibilities, b, 14a-14g Transparencies 1.1 to 1.2 /M* 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. SE/ Painted Cubes, r, 84a-84p Transparencies 5.1A to 5.2 Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Writing Expressions for Surface Area, b, 19a-19i, 64v, 70a-70h Transparencies 1.1 to 1.3B, 5.1 see also Grade 7 unit: Filling and Wrapping: Three-Dimensional Measurement 8

9 2. uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures. 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. PAGES(S) OR LOCATONS(S) SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ Quadratic Patterns of Change, dd, 51a-51m Transparencies 3.1A to 3.2 SE/ Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i Labsheets 2.1 to 2.ACE, 3.2A to 3.3, 4.2; Transparencies 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3 /M* 9

10 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. 4. constructs, interprets, and uses scale drawings such as those based on number lines and maps to solve realworld problems. PAGES(S) OR LOCATONS(S) SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 70r, 84a-84p Labsheets 2.4; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 5.1A to 5.2 Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, 34-52; Solving Equations, 53-64; Writing Expressions for Surface Area, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q, 52r, 64a-64t, 64v, 70a-70h Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B, 4.1 to 4.4C, 5.1 SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, /M* 10

11 4. constructs, interprets, and uses scale drawings such as those based on number lines and maps to solve realworld problems. PAGES(S) OR LOCATONS(S) SE/ Locating Points, 5-16; Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, 41-52; rrational Numbers, 53-63; Rational and rrational Slopes, b, 16a-16g, 16h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i, 52j, 63a-63g, 63h, 72a-73 Labsheets 1.3, 2.1 to 2.ACE, 3.2A to 3.3, 4.2, 5.1, 6.2 to 6.ACE2; Transparencies 1.1A to 1.3, 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3, 5.1 to 5.3, 6.1A to 6.2 Kaleidoscopes, Hubcaps, and Mirrors: Symmetry and Transformations SE/ Transforming Coordinates, 42-58; Symmetry and Algebra, v, 58a-58n, 58p, 70a-70n Labsheets 3.1A to 3.ACE3, 4.1A to 4.ACE; Transparencies 3.1A to 3.4, 4.1 to 4.3B, Computers (optional) /M* 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. SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, 11

12 1. uses direct (measured) and indirect (not measured) measures to compare a given characteristic in either metric or customary units. 2. solves problems involving units of measure and converts answers to a larger or smaller unit within either the metric or customary system. PAGES(S) OR LOCATONS(S) SE/ Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i Labsheets 2.1 to 2.ACE, 3.2A to 3.3, 4.2; Transparencies 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3 SE/ Linear Models, 5-25; Nonlinear Models, b, 25a-25n, 25p, 36a-36i Labsheets 1.2; Transparencies 1.1 to 1.5B, 2.1A to 2.3 SE/ Finding Areas and Lengths, h, 26a-26l Labsheets 2.1 to 2.ACE; Transparencies 2.1 to 2.3 /M* 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/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, 12

13 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. PAGES(S) OR LOCATONS(S) SE/ Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i Labsheets 2.1 to 2.ACE, 3.2A to 3.3, 4.2; Transparencies 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3 SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 70r, 84a-84p Labsheets 2.4; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 5.1A to 5.2 Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, 34-52; Solving Equations, 53-64; Writing Expressions for Surface Area, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q, 52r, 64a-64t, 64v, 70a-70h Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B, 4.1 to 4.4C, 5.1 /M* 13

14 PAGES(S) OR LOCATONS(S) 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) /M* 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). SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Finding Areas and Lengths, 17-26; The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, h, 26a-26l, 26n, 40a-40n, 40p, 52a-52i Labsheets 2.1 to 2.ACE, 3.2A to 3.3, 4.2; Transparencies 2.1 to 2.3, 3.1 to 3.4B, 4.1 to 4.3 SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; What is a Quadratic Function?, 52-70; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 51n, 70a-70q, 70r, 84a-84p Labsheets 2.4, 4.3A to 4.3B; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 4.1 to 4.3B, 5.1A to

15 2. selects and uses appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation. GEOMETRY AND SPATAL SENSE PAGES(S) OR LOCATONS(S) SE/ Finding Areas and Lengths, 17-26; rrational Numbers, h, 26a-26l, 52j, 63a-63g Labsheets 2.1 to 2.ACE, 5.1; Transparencies 2.1 to 2.3, 5.1 to 5.3 SE/ Exponential Decay, h, 60a-60o Transparencies 4.1 to 4.4C SE/ What is a Quadratic Function?, 52-70; Painted Cubes, n, 70a-70q, 70r, 84a-84p Labsheets 4.3A to 4.3B; Transparencies 4.1 to 4.3B, 5.1A to 5.2 /M* 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. SE/ The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, n, 40a-40n, 40p, 52a-52i Labsheets 3.2A to 3.3, 4.2; Transparencies 3.1 to 3.4B, 4.1 to

16 1. understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two-and three-dimensions. PAGES(S) OR LOCATONS(S) SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Quadratic Patterns of Change, 41-51; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 40dd, 51a-51m, 70r, 84a-84p Labsheets 2.4; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 3.1A to 3.2, 5.1A to 5.2 Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Writing Expressions for Surface Area, b, 19a-19i, 64v, 70a-70h Transparencies 1.1 to 1.3B, 5.1 Kaleidoscopes, Hubcaps, and Mirrors: Symmetry and Transformations SE/ Three Types of Symmetry, 5-23; Symmetry Transformations, 24-41; Transforming Coordinates, 42-58; Symmetry and Algebra, b, 23a-23o, 23p, 41a-41u, 41v, 58a-58n, 58p, 70a-70n Labsheets 1.1 to 1.ACE4, 2.1A to 2.ACE4, 3.1A to 3.ACE3, 4.1A to 4.ACE; Transparencies 1.1 to 1.4, 2.1A to 2.4B, 3.1A to 3.4, 4.1 to 4.3B, Computers (optional) /M* 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. SE/ Using the Pythagorean Theorem, p, 52a-52i, 52j Labsheets 4.2; Transparencies 4.1 to

17 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). PAGES(S) OR LOCATONS(S) Kaleidoscopes, Hubcaps, and Mirrors: Symmetry and Transformations SE/ Three Types of Symmetry, 5-23; Symmetry Transformations, 24-41; Transforming Coordinates, 42-58; Symmetry and Algebra, b, 23a-23o, 23p, 41a-41u, 41v, 58a-58n, 58p, 70a-70n Labsheets 1.1 to 1.ACE4, 2.1A to 2.ACE4, 3.1A to 3.ACE3, 4.1A to 4.ACE; Transparencies 1.1 to 1.4, 2.1A to 2.4B, 3.1A to 3.4, 4.1 to 4.3B, Computers (optional) Kaleidoscopes, Hubcaps, and Mirrors: Symmetry and Transformations SE/ Three Types of Symmetry, 5-23; Symmetry Transformations, 24-41; Creating Tessellations, b, 23a-23o, 23p, 41a-41u Labsheets 1.1 to 1.ACE4, 2.1A to 2.ACE4; Transparencies 1.1 to 1.4, 2.1A to 2.4B, Computers (optional) /M* 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. SE/ The Pythagorean Theorem, 27-40; Using the Pythagorean Theorem, n, 40a-40n, 40p, 52a-52i Labsheets 3.2A to 3.3, 4.2; Transparencies 3.1 to 3.4B, 4.1 to

18 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. PAGES(S) OR LOCATONS(S) SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Quadratic Patterns of Change, 41-51; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 40dd, 51a-51m, 70r, 84a-84p Labsheets 2.4; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 3.1A to 3.2, 5.1A to 5.2 Kaleidoscopes, Hubcaps, and Mirrors: Symmetry and Transformations SE/ Three Types of Symmetry, 5-23; Symmetry Transformations, 24-41; Transforming Coordinates, 42-58; Symmetry and Algebra, b, 23a-23o, 23p, 41a-41u, 41v, 58a-58n, 58p, 70a-70n Labsheets 1.1 to 1.ACE4, 2.1A to 2.ACE4, 3.1A to 3.ACE3, 4.1A to 4.ACE; Transparencies 1.1 to 1.4, 2.1A to 2.4B, 3.1A to 3.4, 4.1 to 4.3B, Computers (optional) SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Rational and rrational Slopes, h, 72a-73 Labsheets 6.2 to 6.ACE2; Transparencies 6.1A to 6.2 /M* 18

19 2. identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines. PAGES(S) OR LOCATONS(S) SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Quadratic Patterns of Change, 41-51; What is a Quadratic Function?, 52-70; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 40dd, 51a-51m, 51n, 70a-70q, 70r, 84a-84p Labsheets 2.4, 4.3A to 4.3B; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 3.1A to B, 5.1A to 5.2 Say t with Symbols: Algebraic Reasoning SE/ Solving Equations, r, 64a-64t Transparencies 4.1 to 4.4C /M* 19

20 ALGEBRAC THNKNG STANDARDS PAGES(S) OR LOCATONS(S) /M* 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. SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Quadratic Patterns of Change, 41-51; What is a Quadratic Function?, 52-70; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 40dd, 51a-51m, 51n, 70a-70q, 70r, 84a-84p Labsheets 2.4, 4.3A to 4.3B; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 3.1A to B, 5.1A to

21 1. describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities. 2. creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships. PAGES(S) OR LOCATONS(S) Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, 34-52; Solving Equations, 53-64; Writing Expressions for Surface Area, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q, 52r, 64a-64t, 64v, 70a-70h Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B, 4.1 to 4.4C, 5.1 SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Quadratic Patterns of Change, 41-51; What is a Quadratic Function?, 52-70; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 40dd, 51a-51m, 51n, 70a-70q, 70r, 84a-84p Labsheets 2.4, 4.3A to 4.3B; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 3.1A to B, 5.1A to 5.2 /M* 21

22 PAGES(S) OR LOCATONS(S) STANDARD 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations. (MA.D.2.3) /M* 1. represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities. SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Quadratic Patterns of Change, 41-51; What is a Quadratic Function?, 52-70; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 40dd, 51a-51m, 51n, 70a-70q, 70r, 84a-84p Labsheets 2.4, 4.3A to 4.3B; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 3.1A to B, 5.1A to

23 1. represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities. 2. uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities. DATA ANALYSS AND PROBABLTY PAGES(S) OR LOCATONS(S) Say t with Symbols: Algebraic Reasoning SE/ Order of Operations, 5-19; Equivalent Expressions, 20-33; Some mportant Properties, 34-52; Solving Equations, 53-64; Writing Expressions for Surface Area, b, 19a-19i, 19j, 33a-33o, 33p, 52a-52q, 52r, 64a-64t, 64v, 70a-70h Labsheets 3.3; Transparencies 1.1 to 1.3B, 2.1 to 2.3, 3.1A to 3.4B, 4.1 to 4.4C, 5.1 SE/ Linear Models, 5-25; A World of Patterns, b, 25a-25n, 46j, 59a-59f Labsheets 1.2; Transparencies 1.1 to 1.5B, 4.1 to 4.3 Say t with Symbols: Algebraic Reasoning SE/ Solving Equations, r, 64a-64t Transparencies 4.1 to 4.4C /M* 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. SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, 23

24 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. 2. understands and applies the concepts of range and central tendency (mean, median, and mode). PAGES(S) OR LOCATONS(S) SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ ntroduction to Quadratic Relationships, 5-18; Quadratic Expressions, 19-40; Quadratic Patterns of Change, 41-51; What is a Quadratic Function?, 52-70; Painted Cubes, b, 18a-18q, 18r, 40a-40cc, 40dd, 51a-51m, 51n, 70a-70q, 70r, 84a-84p Labsheets 2.4, 4.3A to 4.3B; Transparencies 1.1A to 1.3, 2.1 to 2.4B, 3.1A to B, 5.1A to 5.2 Samples and Populations: Data and Statistics SE/ Comparing Data Sets, 5-23; Conducting Surveys, 24-36; Random Samples, 37-48; Solving Real-World Problems, b, 23a-23t, 23v, 23a-23o, 23p, 36a-36e, 36f, 48a-48i, 48j, 62a-62k Labsheets 1.1 to 1.ACE, 3.2A to 3.3; Transparencies 1.1A to 1.5, 2.1A to 2.3, 3.1 to 3.3C, 4.1 to 4.2 Samples and Populations: Data and Statistics SE/ Comparing Data Sets, 5-23; Conducting Surveys, 24-36; Random Samples, 37-48; Solving Real-World Problems, b, 23a-23t, 23v, 23a-23o, 23p, 36a-36e, 36f, 48a-48i, 48j, 62a-62k Labsheets 1.1 to 1.ACE, 3.2A to 3.3; Transparencies 1.1A to 1.5, 2.1A to 2.3, 3.1 to 3.3C, 4.1 to 4.2 /M* 24

25 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. PAGES(S) OR LOCATONS(S) Samples and Populations: Data and Statistics SE/ Comparing Data Sets, 5-23; Conducting Surveys, 24-36; Random Samples, 37-48; Solving Real-World Problems, b, 23a-23t, 23v, 23a-23o, 23p, 36a-36e, 36f, 48a-48i, 48j, 62a-62k Labsheets 1.1 to 1.ACE, 3.2A to 3.3; Transparencies 1.1A to 1.5, 2.1A to 2.3, 3.1 to 3.3C, 4.1 to 4.2 /M* 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. 2. determines odds for and odds against a given situation. Samples and Populations: Data and Statistics SE/ Conducting Surveys, 24-36; Random Samples, 37-48; Solving Real- World Problems, v, 23a-23o, 23p, 36a-36e, 36f, 48a-48i, 48j, 62a-62k Labsheets 3.2A to 3.3; Transparencies 2.1A to 2.3, 3.1 to 3.3C, 4.1 to 4.2 Clever Counting: Combinatorics SE/ Counting Possibilities, 5-14; Opening Locks, b, 14a-14g, 14h, 26a-26h Transparencies 1.1 to 1.2, 2.1 to 2.3 Clever Counting: Combinatorics SE/ Counting Possibilities, 5-14; Opening Locks, b, 14a-14g, 14h, 26a-26h Transparencies 1.1 to 1.2, 2.1 to

26 PAGES(S) OR LOCATONS(S) STANDARD 3: The student uses statistical methods to make inferences and valid arguments about real-world situations. (MA.E.3.3) /M* 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. SE/ Linear Models, 5-25; Nonlinear Models, 26-36; More Nonlinear Models, SE/ Exponential Growth, 5-16; Growth Patterns, 17-30; Growth Factors, 31-44; Exponential Decay, b, 16a-16i, 16j, 30a-30g, 30h, 44a-44g, 44h, 60a-60o Labsheets 1.2; Transparencies 1.1 to 1.3, 2.1 to 2.3, 3.1 to 3.3B, 4.1 to 4.4C SE/ What is a Quadratic Function?, n, 70a-70q Labsheets 4.3A to 4.3B; Transparencies 4.1 to 4.3B Samples and Populations: Data and Statistics SE/ Comparing Data Sets, 5-23; Conducting Surveys, 24-36; Random Samples, 37-48; Solving Real-World Problems, b, 23a-23t, 23v, 23a-23o, 23p, 36a-36e, 36f, 48a-48i, 48j, 62a-62k Labsheets 1.1 to 1.ACE, 3.2A to 3.3; Transparencies 1.1A to 1.5, 2.1A to 2.3, 3.1 to 3.3C, 4.1 to

27 2. identifies the common uses and misuses of probability or statistical analysis in the everyday world. PAGES(S) OR LOCATONS(S) Samples and Populations: Data and Statistics SE/ Comparing Data Sets, 5-23; Conducting Surveys, 24-36; Random Samples, 37-48; Solving Real-World Problems, b, 23a-23t, 23v, 23a-23o, 23p, 36a-36e, 36f, 48a-48i, 48j, 62a-62k Labsheets 1.1 to 1.ACE, 3.2A to 3.3; Transparencies 1.1A to 1.5, 2.1A to 2.3, 3.1 to 3.3C, 4.1 to 4.2 Clever Counting: Combinatorics SE/ Counting Possibilities, 5-14; Opening Locks, 15-26; Networks, 27-36; Deciding Whether Order s mportant, 37-46; Wrapping Things Up, b, 14a-14g, 14h, 26a-26h, 26j, 36a-36i, 36j, 46a-46f, 46h, 56a-56b Transparencies 1.1 to 1.2, 2.1 to 2.3, 3.1A to 3.3B, 4.1A to 4.2, 5.1 /M* *n-depth/mentioned 27