Prentice Hall Connected Mathematics 2, Grade Correlated to: Michigan Grade Level Content Expectations (Grade 6)

Transcription

1 NUMBER AND OPERATIONS Multiply and divide fractions N.MR Understand division of fractions as the inverse of multiplication, e.g., if 4/5 2/3 =, then 2/3 = 4/5, so = 4/5 3/2 = 12/10. N.FL Given an applied situation involving dividing fractions, write a mathematical statement to represent the situation. SE: Bits and Pieces II Investigation 4: TG: Bits and Pieces II Investigation 4: TR: Transparencies 4.1; Labsheets; Additional N.MR Solve for the unknown in equations such as 1/4 = 1, 3/4 = 1/4, and 1/2 = 1. SE: Bits and Pieces II Investigation 4: 53-54, 60(#40) TG: Bits and Pieces II Investigation 4: , 118(#40) TR: Transparencies 4.4; Labsheets; Additional N.FL Multiply and divide any two fractions, including mixed numbers, fluently. SE: Bits and Pieces II Investigation 3: 32-47, Investigation 4: TG: : Bits and Pieces II Investigation 3: 59-88, Investigation 4: TR: Transparencies , 4.1, 4.4; Labsheets; Assessment; 1

2 Represent rational numbers as fractions or decimals N.ME Order rational numbers and place them on the number line. SE: Bits and Pieces I Investigation 2: 30(#37-40), 33(#72) TG: Bits and Pieces I Investigation 2: 74(#37-40), 76(#72) TR: Transparencies; Labsheets; Additional N.ME Represent rational numbers as fractions or terminating decimals when possible, and translate between these representations. SE: Bits and Pieces I Investigation 3: Bits and Pieces III Investigation 3: TG: Bits and Pieces I Investigation 3: Bits and Pieces III Investigation 3: TR: Transparencies 3.1A-C, 3.2A-E for Bits and Pieces I; Labsheets ; Additional Practice; Notebook Check; Self-Assessment; Spanish Assessment Resources N.ME Understand that a fraction or a negative fraction is a quotient of two integers, e.g., -8/3 is -8 divided by 3. SE: Bits and Pieces I Glossary: 74 Bits and Pieces III Investigation 3: TG: Bits and Pieces I Glossary: 154 Bits and Pieces III Investigation 3: TR: Transparencies 3.2A-B for Bits and Pieces III; Labsheets; Additional Practice; Notebook Check; Self-Assessment; 2

3 Add and subtract integers and rational numbers N.MR Understand integer subtraction as the inverse of integer addition. Understand integer division as the inverse of integer multiplication.* SE: Accentuate the Negative (Grade 7) Problems Investigation 2: 28-30, 41, Investigation 3: TG: Accentuate the Negative (Grade 7) Investigation 2: 45-52, 61, Investigation 3: TR: Transparencies 2.3, 3.3A-B; Labsheets; Assessment; N.FL Add and multiply integers between - 10 and 10; subtract and divide integers using the related facts. Use the number line and chip models for addition and subtraction.* SE: Accentuate the Negative (Grade 7) Investigation 2: 22-27, Investigation 3: TG: Accentuate the Negative (Grade 7) Investigation 2: 37-44, Investigation 3: TR: Transparencies 2.1A-B, 2.2A-B, 3.1, 3.2, 3.3A- B, 3.4; Labsheets 3.4; Additional Practice; Notebook Check; Self-Assessment; Spanish Assessment Resources N.FL Add, subtract, multiply and divide positive rational numbers fluently. SE: Bits and Pieces III Investigation 1: 8-12, Investigation 2: 21-25, Investigation 3: TG: Bits and Pieces III Investigation 1: 21-32, Investigation 2: 37-42, 47-50, Investigation 3: TR: Transparencies 1.2, 1.3, 2.1, 2.3, 3.2A-B, 3.3; Labsheets; Additional Practice; Notebook Check; Self-Assessment; 3

4 Find equivalent ratios N.ME Find equivalent ratios by scaling up or scaling down. SE: Comparing and Scaling (Grade 7) Investigation 2: Solve decimal, percentage and rational number problems N.FL Calculate part of a number given the percentage and the number. TG: Comparing and Scaling (Grade 7) Investigation 2: TR: Transparencies 2.3A-B; Labsheets; Additional N.MR Solve contextual problems involving percentages such as sales taxes and tips.* SE: Bits and Pieces III Investigation 4: 50-54, Investigation 5: TG: Bits and Pieces III Investigation 4: 84-96, Investigation 5: TR: Transparencies 4.1A-B; Labsheets 4.1, 4.2A- B; Assessment; N.FL For applied situations, estimate the answers to calculations involving operations with rational numbers. SE: Bits and Pieces II Investigation 1: 8-9 Bits and Pieces III Investigation 1: 5-7, Investigation 2: TG: Bits and Pieces II Investigation 1: Bits and Pieces Investigation 1: 16-20, Investigation 2: TR Transparencies 1.1, 2.1 for Bits and Pieces III; Labsheets; Additional Practice; Notebook Check; Self-Assessment; 4

5 N.FL Solve applied problems that use the four operations with appropriate decimal numbers. Use exponents SE: Bits and Pieces III Investigation 1: 8-11, Investigation 2: 21-23, Investigation 3: TG: Bits and Pieces III Investigation 1: 21-28, Investigation 2: 37-42, Investigation 3: TR: Transparencies 1.2, 1.3, 2.1; Labsheets; Assessment; N.ME Understand and use integer exponents, excluding powers of negative bases; express numbers in scientific notation.* SE: Growing, Growing, Growing (Grade 8) Investigation 1: 6-7, 17(#39-42), Investigation 2: 28(#15-17), Investigation 4: 55(#8), Investigation 5: 60-62, 70(#56) Understand rational numbers and their location on the number line N.ME Locate negative rational numbers (including integers) on the number line; know that numbers and their negatives add to 0, and are on opposite sides and at equal distance from 0 on a number line. TG: Growing, Growing, Growing (Grade 8) Investigation 1: 25-30, 42(#39-42), Investigation 2: 58(#15-17), Investigation 4: 95(#8), Investigation 5: , 116(#56) TR: Transparencies 1.2A-B, 5.1A-B, 5.2A-B; Labsheets 1.2, 5.1; Additional Practice; Notebook Check; Self-Assessment; Spanish Assessment Resources PHSchool.com, Web Code apk-5500; LessonLab SE: Accentuate the Negative (Grade 7) Introduction to Investigation 1: 5-7, 16(#9-10) TG: Accentuate the Negative (Grade 7) Introduction to Investigation 1: 13, 33(#9-10) TR: Transparencies; Labsheets; Additional 5

6 N.ME Understand that rational numbers are quotients of integers (non zero denominators), e.g., a rational number is either a fraction or a negative fraction. N.ME Understand that 0 is an integer that is neither negative nor positive. SE: Accentuate the Negative (Grade 7) Introduction to Investigation 1: 6 TG: Accentuate the Negative (Grade 7) Introduction to Investigation 1: 13 TR: Transparencies; Labsheets; Additional N.ME Know that the absolute value of a number is the value of the number ignoring the sign; or is the distance of the number from 0. SE: Accentuate the Negative (Grade 7) Introduction to Problem 2.2: 26, Glossary: 80 TG: Accentuate the Negative (Grade 7) Introduction to Problem 2.2: 41-42, Glossary: 123 TR: Transparencies; Labsheets; Additional ALGEBRA Calculate rates A.PA Solve applied problems involving rates, including speed, e.g., if a car is going 50 mph, how far will it go in 3 1/2 hours? SE: Variables and Patterns (Grade 7) Investigation 1: 14, Investigation 3: TG: Variables and Patterns (Grade 7) Investigation 1: 33-36, Investigation 3:

7 TR: Transparencies 3.1; Labsheets; Additional Understand the coordinate plane A.RP Plot ordered pairs of integers and use ordered pairs of integers to identify points in all four quadrants of the coordinate plane. SE: Accentuate the Negative (Grade 7) Investigation 2: 30-31, 36-37(#27-29) A.FO Use letters, with units, to represent quantities in a variety of contexts, e.g., y lbs., k minutes, x cookies. TG: Accentuate the Negative (Grade 7) Investigation 2: 53-56, 59(#27-29) TR: Transparencies 2.5; Labsheets 2.5; Additional Use variables, write expressions and equations, and combine like terms A.FO Distinguish between an algebraic expression and an equation. A.FO Use standard conventions for writing algebraic expressions, e.g., 2x + 1 means two times x, plus 1 and 2(x + 1) means two times the quantity (x + 1). SE: Variables and Patterns (Grade 7) Investigation 3: TG: Variables and Patterns (Grade 7) Investigation 3: TR: Transparencies; Labsheets; Additional 7

8 A.FO Represent information given in words using algebraic expressions and equations. SE: Variables and Patterns (Grade 7) Investigation 3: Moving Straight Ahead (Grade 7) Investigation 1: 8-9 Say It With Symbols (Grade 8) Investigation 1: 6, Investigation 2: TG: Variables and Patterns (Grade 7) Investigation 3: Moving Straight Ahead (Grade 7) Investigation 1: Say It With Symbols (Grade 8) Investigation 1: 20-24, Investigation 2: TR: Transparencies 1.1 for Say It With Symbols; Labsheets 1.1 for Say It With Symbols; Additional PHSchool.com, Web Codes ank-5500, apk-5500; LessonLab A.FO Simplify expressions of the first degree by combining like terms, and evaluate using specific values. Represent linear functions using tables, equations, and graphs A.RP Understand that relationships between quantities can be suggested by graphs and tables. SE: Variables and Patterns (Grade 7) Investigation 2: 31, Investigation 4: TG: Variables and Patterns (Grade 7) Investigation 2: 45-50, Investigation 4: TR: Transparencies 2.1A-B, 4.1, 4.2A-B; Labsheets; Additional Practice; Notebook Check; Self-Assessment; 8

9 A.PA Solve problems involving linear functions whose input values are integers; write the equation; graph the resulting ordered pairs of integers, e.g., given c chairs, the leg function i s 4c; if you have 5 chairs, how many legs?; if you have 12 legs, how many chairs?* SE: Variables and Patterns (Grade 7) Investigation 3: 49-53, Looking Back and Looking Ahead: Moving Straight Ahead (Grade 7) Investigation 1: 8-11 A.RP Represent simple relationships between quantities using verbal descriptions, formulas or equations, tables, and graphs, e.g., perimeter-side relationship for a square, distancetime graphs, and conversions such as feet to inches. TG: Variables and Patterns (Grade 7) Investigation 3: 69-76, Looking Back and Looking Ahead: Moving Straight Ahead (Grade 7) Investigation 1: TR: Transparencies 3.1 for Variables and Patterns, 1.4A-B for Moving Straight Ahead; Labsheets; Assessment; SE: Variables and Patterns (Grade 7) Investigation 3: 52-54, Investigation 4: 64-69, Looking Back and Looking Ahead: Moving Straight Ahead (Grade 7) Investigation 1: 8-11, Investigation 2: TG: Variables and Patterns (Grade 7) Investigation 3: 73-80, Investigation 4: 87-94, Looking Back and Looking Ahead: Moving Straight Ahead (Grade 7) Investigation 1: 25-34, Investigation 2: TR: Transparencies 3.3, 4.1, 4.2A-B for Variables and Patterns, 1.4A-B, 2.4 for Moving Straight Ahead; Labsheets; Additional Practice; Notebook Check; Self-Assessment; Spanish Assessment Resources 9

10 Solve equations A.FO Relate simple linear equations with integer coefficients, e.g., 3x = 8 or x + 5 = 10, to particular contexts and solve.* SE: Moving Straight Ahead (Grade 7) Investigation 3: 47-48, A.FO Understand that adding or subtracting the same number to both sides of an equation creates a new equation that has the same solution. TG: Moving Straight Ahead (Grade 7) Investigation 3: 67-70, TR: Transparencies 3.1A-B, 3.5; Labsheets; Assessment; SE: Moving Straight Ahead (Grade 7) Investigation 3: Say It With Symbols (Grade 8) Investigation 3: TG: Moving Straight Ahead (Grade 7) Investigation 3: Say It With Symbols (Grade 8) Investigation 3: TR: Transparencies 3.2A-B for Moving Straight Ahead; Labsheets 3.2 for Moving Straight Ahead; Assessment; PHSchool.com, Web Codes ank-5500, apk-5500; LessonLab A.FO Understand that multiplying or dividing both sides of an equation by the same non-zero number creates a new equation that has the same solutions. SE: Moving Straight Ahead (Grade 7) Investigation 3: Say It With Symbols (Grade 8) Investigation 3: TG: Moving Straight Ahead (Grade 7) Investigation 3: Say It With Symbols (Grade 8) Investigation 3: TR: Transparencies 3.2A-B for Moving Straight Ahead; Labsheets 3.2 for Moving Straight Ahead; Assessment; 10

11 A.FO Solve equations of the form ax + b = c, e.g., 3x + 8 = 15 by hand for positive integer coefficients less than 20, use calculators otherwise, and interpret the results. PHSchool.com, Web Codes ank-5500, apk-5500; LessonLab SE: Moving Straight Ahead (Grade 7) Investigation 3: Say It With Symbols (Grade 8) Investigation 3: TG: Moving Straight Ahead (Grade 7) Investigation 3: Say It With Symbols (Grade 8) Investigation 3: TR: Transparencies 3.3A-B, 3.4 for Moving Straight Ahead; Labsheets 3.3 for Moving Straight Ahead; Assessment; PHSchool.com, Web Codes ank-5500, apk-5500; LessonLab MEASUREMENT Convert within measurement systems M.UN Convert between basic units of measurement within a single measurement system, e.g., square inches to square feet. SE: Filling and Wrapping (Grade 7) Investigation 5: 70(#20-23) TG: Filling and Wrapping (Grade 7) Investigation 5: 111(#20-23) TR: Transparencies; Labsheets; Additional Find volume and surface area M.PS Draw patterns (of faces) for a cube and rectangular prism that, when cut, will cover the solid exactly (nets). SE: Filling and Wrapping (Grade 7) Investigation 1: 5-6 TG: Filling and Wrapping (Grade 7) Investigation 1:

12 TR: Transparencies 1.1A-B; Labsheets; Additional M.TE Compute the volume and surface area of cubes and rectangular prisms given the lengths of their sides, using formulas. SE: Filling and Wrapping (Grade 7) Investigation 1: 8-9, Investigation 2: TG: Filling and Wrapping (Grade 7) Investigation 1: 27-30, Investigation 2: TR: Transparencies 2.1, 2.3A-C; Labsheets; Assessment; GEOMETRY Understand and apply basic properties G.GS Understand and apply basic properties of lines, angles, and triangles, including: triangle inequality SE: Shapes and Designs Investigation 4: 71 TG: Shapes and Designs Investigation 4: TR: Transparencies; Labsheets 4.1; Additional relationships of vertical angles, complementary angles, supplementary angles congruence of corresponding and alternate interior angles when parallel lines are cut by a transversal, and that such congruencies imply parallel lines SE: Shapes and Designs Investigation 2: 38-39, 45-46(#21-22) TG: Shapes and Designs Investigation 2: 53-56, 58(#21-22) 12

13 TR: Transparencies 2.5A-B; Labsheets 2.5; Assessment; locate interior and exterior angles of any triangle, and use the property that an exterior angle of a triangle is equal to the sum of the remote (opposite) interior angles SE: Shapes and Designs Investigation 3: 56-57, TG: Shapes and Designs Investigation 3: 67-70, TR: Transparencies 3.2; Labsheets 3.2; Additional know that the sum of the exterior angles of a convex polygon is 360º. SE: Shapes and Designs Investigation 3: Understand the concept of congruence and basic transformations G.GS Understand that for polygons, congruence means corresponding sides and angles have equal measures. TG: Shapes and Designs Investigation 3: TR: Transparencies; Labsheets; Additional SE: Kaleidoscopes, Hubcaps, and Mirrors (Grade 8) Investigation 3: 48-49, TG: Kaleidoscopes, Hubcaps, and Mirrors (Grade 8) Investigation 3: 76-78, TR: Transparencies 3.1A-B, 3.3A-B; Labsheets 3.1, 3.3; Assessment; 13

14 G.TR Understand the basic rigid motions in the plane (reflections, rotations, translations), relate these to congruence, and apply them to solve problems. PHSchool.com, Web Code apk-5500; LessonLab SE: Kaleidoscopes, Hubcaps, and Mirrors (Grade 8) Investigation 2: 28-33, Investigation 3: G.TR Understand and use simple compositions of basic rigid transformations, e.g., a translation followed by a reflection. Construct geometric shapes G.SR Use paper folding to perform basic geometric constructions of perpendicular lines, midpoints of line segments and angle bisectors; justify informally. TG: Kaleidoscopes, Hubcaps, and Mirrors (Grade 8) Investigation 2: 45-62), Investigation 3: TR: Transparencies 2.1A-B, 2.2A-B, 2.3A-B, 3.1A- B, 3.2; Labsheets 2.1A-C, 2.2A-B, 2.3A-B, 3.1, 3.2; Assessment; PHSchool.com, Web Code apk-5500; LessonLab SE: Kaleidoscopes, Hubcaps, and Mirrors (Grade 8) Investigation 5: TG: Kaleidoscopes, Hubcaps, and Mirrors (Grade 8) Investigation 5: TR: Transparencies 5.4; Labsheets 5.4; Additional PHSchool.com, Web Code apk-5500; LessonLab 14

15 DATA AND PROBABILITY Understand the concept of probability and solve problems D.PR Express probabilities as fractions, decimals, or percentages between 0 and 1; know that 0 probability means an event will not occur and that probability 1 means an event will occur. SE: How Likely Is It? Investigation 2: What Do You Expect? (Grade 7) Investigation 1: 14(#14) TG: How Likely Is It? Investigation 2: What Do You Expect? (Grade 7) Investigation 1: 34(#14) TR: Transparencies 2.3 for How Likely Is It?; Labsheets; Additional Practice; Notebook Check; Self-Assessment; PHSchool.com, Web Codes amk-5500, ank-5500; LessonLab D.PR Compute probabilities of events from SE: How Likely Is It? Investigation 1: 6-10 simple experiments with equally likely outcomes, e.g., tossing dice, flipping coins, spinning spinners, by listing all possibilities and finding the fraction that meets given conditions. TG: How Likely Is It? Investigation 1: TR: Transparencies 1.1A-B; Labsheets 1.1; Assessment; 15