Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Correlated to: Minnesota K-12 Academic Standards in Mathematics, 9/2008 (Grade 7)

Transcription

1 Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but that it can be approximated by rational numbers such as 22/7 and Number and Operation Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions and decimals. SE: Comparing and Scaling Investigation 1: Making Comparisons (7, 17); Investigation 2: Comparing Ratios, Percents, and Fractions (21-23, 26-28, 32); Investigation 3: Comparing and Scaling Rates (36, 45); Investigation 4: Making Sense of Proportions (49-54, 56, 67) TG: Comparing and Scaling Problem 2.3 (43-46); Investigation 4: Making Sense of Proportions (73-92) Understand that division of two integers will always result in a rational number. Use this information to interpret the decimal result of a division problem when using a calculator. SE: Accentuate the Negative Investigation 3: Multiplying and Dividing Integers (47-48, 51-53, 55-56, 59); Investigation 4: Properties of Operations (62-63, 69-71, 73-74) Locate positive and negative rational numbers on the number line, understand the concept of opposites, and plot pairs of positive and negative rational numbers on a coordinate grid. TG: Accentuate the Negative Investigation 3 (62-85); Investigation 4: Properties of Operations (86-101) SE: Comparing and Scaling Investigation 1: Making Comparisons (14); Accentuate the Negative Investigation 1: Extending the Number System (5-7, 10-13, 17-18, 21); Investigation 2: Adding and Subtracting Integers (23, 26-27, 32, 35, 39-40); Investigation 3: Multiplying and Dividing Integers (50); Review (79) TG: Comparing and Scaling Investigation 1: Making Comparisons (28); Accentuate the Negative Investigation 1: Extending the Number System (13-35); Investigation 2: Adding and Subtracting Integers (36-61); Investigation 3: Multiplying and Dividing Integers (81); Review ( ) Compare positive and negative rational numbers expressed in various forms using the symbols <, >,,. SE: Comparing and Scaling Investigation 2: Comparing Ratios, Percents, and Fractions (18-32); Accentuate the Negative Investigation 1: Extending the Number System (17) TG: Comparing and Scaling Investigation 2: Comparing Ratios, Percents, and Fractions (31-50); Accentuate the Negative Investigation 1: Extending the Number System (33) 1

2 Recognize and generate equivalent representations of positive and negative rational numbers, including equivalent fractions. SE: Comparing and Scaling Investigation 1: Making Comparisons (7, 17); Investigation 2: Comparing Ratios, Percents, and Fractions (21-23, 26-28, 32); Investigation 3: Comparing and Scaling Rates (36, 45); Investigation 4: Making Sense of Proportions (49-54, 56, 67) TG: Comparing and Scaling Investigation 1: Making Comparisons (22); Investigation 2: Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (64, 71-72); Investigation 4: Making Sense of Proportions (73-92) Calculate with positive and negative rational numbers, and rational numbers with whole number exponents, to solve real-world and mathematical problems Add, subtract, multiply and divide positive and negative rational numbers that are integers, fractions and terminating decimals; use efficient and generalizable procedures, including standard algorithms; raise positive rational numbers to whole-number exponents. SE: Stretching and Shrinking Investigation 2: Similar Figures (34); Accentuate the Negative (22-30, 32-39); Investigation 3: Multiplying and Dividing Integers (42-59); Investigation 4: Properties of Operations (60-75); Review (78) TG: Stretching and Shrinking Investigation 2: Similar Figures (52); Accentuate the Negative (36-61); Investigation 3: Multiplying and Dividing Integers (62-85); Investigation 4: Properties of Operations (86-102); Review ( ) Use real-world contexts and the inverse relationship between addition and subtraction to explain why the procedures of arithmetic with negative rational numbers make sense. SE: Accentuate the Negative Investigation 1: Extending the Number System (5-21); (22-41); Investigation 3: Multiplying and Dividing Integers (42-59); Investigation 4: Properties of Operations (60-75) TG: Accentuate the Negative Investigation 1: Extending the Number System (13-35); (36-61); Investigation 3: Multiplying and Dividing Integers (62-85); Investigation 4: Properties of Operations (86-102) 2

3 Understand that calculators and other computing technologies often truncate or round numbers. Calculators are to be made available for use in all Investigations. SE: Variables and Patterns Investigation 4: Calculator Tables and Graphs (64-80); Accentuate the Negative Investigation 1: Extending the Number System (7); Moving Straight Ahead Investigation 2: Exploring Linear Functions with Graphs and Tables (39) TG: Variables and Patterns Investigation 4: Calculator Tables and Graphs (86-102); Accentuate the Negative Program Resources (10); Moving Straight Ahead Investigation 2: Exploring Linear Functions with Graphs and Tables (63) Solve problems in various contexts involving calculations with positive and negative rational numbers and positive integer exponents, including computing simple and compound interest. SE: Stretching and Shrinking Investigation 2: Similar Figures (34); Accentuate the Negative (22-30, 32-39); Investigation 3: Multiplying and Dividing Integers (42-59); Investigation 4: Properties of Operations (60-75); Review (78) TG: Stretching and Shrinking Investigation 2: Similar Figures (52); Accentuate the Negative (36-61); Investigation 3: Multiplying and Dividing Integers (62-85); Investigation 4: Properties of Operations (86-102); Review ( ) Use proportional reasoning to solve problems involving ratios in various contexts. SE: Stretching and Shrinking Investigation 4: Similarity and Ratios (58-77); Investigation 5: Using Similar Triangles and Rectangles (78-93); Comparisons (5-17); Investigation 2: Comparing Ratios, Percents, and Fractions (18-32); Investigation 3: Comparing and Scaling Rates (33-47); Investigation 4: Making Sense of Proportions (48-62) TG: Stretching and Shrinking Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-104); Comparisons (14-30); Investigation 2: Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (51-72); Investigation 4: Making Sense of Proportions (73-92) 3

4 Demonstrate an understanding of the relationship between the absolute value of a rational number and distance on a number line. Use the symbol for absolute value. Algebra Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y x = k or Distinguish proportional relationships from other relationships, including inversely proportional relationships ( xy = k SE: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (26, 35, 39); Investigation 3: Multiplying and Dividing Integers (58); Investigation 4: Properties of Operations (72) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (44, 58-59, 61); Investigation 3: Multiplying and Dividing Integers (85); Investigation 4: Properties of Operations (100) Understand the concept of proportionality in real-world and mathematical situations, and distinguish between proportional and other relationships. y= kx SE: Stretching and Shrinking Investigation 4: Similarity and Ratios (58-77); Investigation 5: Using Similar Triangles and Rectangles (78-93); Comparisons (5-17); Investigation 2: Comparing Ratios, Percents, and Fractions (18-32); Investigation 3: Comparing and Scaling Rates (33-47); Investigation 4: Making Sense of Proportions (48-62) or y = k x ). TG: Stretching and Shrinking Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-104); Comparisons (14-30); Investigation 2: Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (51-72); Investigation 4: Making Sense of Proportions (73-92) 4

5 Understand that the graph of a proportional relationship is a line through the origin whose slope is the unit rate (constant of proportionality). Know how to use graphing technology to examine what happens to a line when the unit rate is changed. SE: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (30-48); Investigation 3: Rules and Equations (51, 53, 56, 60); Investigation 4: Calculator Tables and Graphs (67-69, 71-73, 77); Moving Straight Ahead Investigation 1: Walking Rates (5-23); Investigation 2: Exploring Linear Functions With Graphs and Tables (24-45); Investigation 3: Solving Equations (46-69); Investigation 4: Exploring Slope (70-89) TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (44-67); Investigation 4: Calculator Tables and Graphs (86-103); Moving Straight Ahead Investigation 1: Walking Rates (15-40); Investigation 2: Exploring Linear Functions With Graphs and Tables (41-65); Investigation 3: Solving Equations (66-94); Investigation 4: Exploring Slope (95-121) Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context Represent proportional relationships with SE: Stretching and Shrinking Investigation 4: tables, verbal descriptions, symbols, equations and Similarity and Ratios (58-77); Investigation 5: graphs; translate from one representation to Using Similar Triangles and Rectangles (78-93); another. Determine the unit rate (constant of proportionality or slope) given any of these Comparisons (5-17); Investigation 2: Comparing representations. Ratios, Percents, and Fractions (18-32); Investigation 3: Comparing and Scaling Rates (33-47); Investigation 4: Making Sense of Proportions (48-62) TG: Stretching and Shrinking Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-104); Comparisons (14-30); Investigation 2: Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (51-72); Investigation 4: Making Sense of Proportions (73-92) 5

6 Solve multi-step problems involving proportional relationships in numerous contexts. SE: Stretching and Shrinking Investigation 4: Similarity and Ratios (58-77); Investigation 5: Using Similar Triangles and Rectangles (78-93); Comparisons (5-17); Investigation 2: Comparing Ratios, Percents, and Fractions (18-32); Investigation 3: Comparing and Scaling Rates (33-47); Investigation 4: Making Sense of Proportions (48-62) TG: Stretching and Shrinking Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-104); Comparisons (14-30); Investigation 2: Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (51-72); Investigation 4: Making Sense of Proportions (73-92) Use knowledge of proportions to assess the reasonableness of solutions. SE: Stretching and Shrinking Investigation 4: Similarity and Ratios (58-77); Investigation 5: Using Similar Triangles and Rectangles (78-93); Comparisons (5-17); Investigation 2: Comparing Ratios, Percents, and Fractions (18-32); Investigation 3: Comparing and Scaling Rates (33-47); Investigation 4: Making Sense of Proportions (48-62) TG: Stretching and Shrinking Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-104); Comparisons (14-30); Investigation 2: Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (51-72); Investigation 4: Making Sense of Proportions (73-92) 6

7 Represent real-world or mathematical situations using equations and inequalities involving variables and positive and negative rational numbers. SE: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (43); Investigation 3: Rules and Equations (49-63); Investigation 4: Calculator Tables and Graphs (64-80); Comparing and Scaling Investigation 3: Comparing and Scaling Rates (33-47); Accentuate the Negative Investigation 1: Extending the Number System (12-13, 17, 19); (26, 34, 37-38); Investigation 3: Multiplying and Dividing Integers (45, 48, 55-56, 58); Investigation 4: Properties of Operations (61, 65, 67, 73); Moving Straight Ahead Investigation 1: Walking Rates (5-23); Investigation 2: Exploring Linear Functions With Graphs and Tables (24-45); Investigation 3: Solving Equations (46-69); Investigation 4: Exploring Slope (70-89); Review (94-96) TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (64); Investigation 3: Rules and Equations (68-85); Investigation 4: Calculator Tables and Graphs (86-102); Comparing and Scaling Investigation 3: Comparing and Scaling Rates (51-72); Moving Straight Ahead Investigation 1: Walking Rates (15-40); Investigation 2: Exploring Linear Functions With Graphs and Tables (41-65); Investigation 3: Solving Equations (66-94); Investigation 4: Exploring Slope (95-121); Review ( ) Apply understanding of order of operations and algebraic properties to generate equivalent numerical and algebraic expressions containing positive and negative rational numbers and grouping symbols; evaluate such expressions Use properties of algebra to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents. Properties of algebra include associative, commutative and distributive laws. SE: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (22-30, 32-39); Investigation 3: Multiplying and Dividing Integers (42-59); Investigation 4: Properties of Operations (60-75); Review (78) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (36-61); Investigation 3: Multiplying and Dividing Integers (62-85); Investigation 4: Properties of Operations (86-102); Review ( ) 7

8 Evaluate algebraic expressions containing rational numbers and whole number exponents at specified values of their variables. SE: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (43); Investigation 3: Rules and Equations (51, 53-54, 56, 60-61); Investigation 4: Calculator Tables and Graphs (64-80); Accentuate the Negative Investigation 1: Extending the Number System (12-13); Investigation 4: Properties of Operations (61, 67) Apply understanding of order of operations and grouping symbols when using calculators and other technologies Represent relationships in various contexts with equations involving variables and positive and negative rational numbers. Use the properties of equality to solve for the value of a variable. Interpret the solution in the original context. TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (64); Investigation 3: Rules and Equations (72, 76, 80, 82, 84); Investigation 4: Calculator Tables and Graphs (86-102); Accentuate the Negative Investigation 1: Extending the Number System (28); Investigation 4: Properties of Operations (98) SE: Variables and Patterns Investigation 4: Calculator Tables and Graphs (86-102); Accentuate the Negative Investigation 4: Properties of Operations (60-63, 68, 75, 77, 81) TG: Variables and Patterns Investigation 4: Calculator Tables and Graphs (86-102); Accentuate the Negative Investigation 4: Properties of Operations (86-102) Represent real-world and mathematical situations using equations with variables. Solve equations symbolically, using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context. SE: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (43); Investigation 3: Rules and Equations (49-63); Investigation 4: Calculator Tables and Graphs (64-80); Comparing and Scaling Investigation 3: Comparing and Scaling Rates (33-47); Accentuate the Negative Investigation 1: Extending the Number System (12-13, 17, 19); (26, 34, 37-38); Investigation 3: Multiplying and Dividing Integers (45, 48, 55-56, 58); Investigation 4: Properties of Operations (61, 65, 67, 73); Moving Straight Ahead Investigation 1: Walking Rates (5-23); Investigation 2: Exploring Linear Functions With Graphs and Tables (24-45); Investigation 3: Solving Equations (46-69); Investigation 4: Exploring Slope (70-89); Review (94-96) 8

9 Solve equations resulting from proportional relationships in various contexts. TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (64); Investigation 3: Rules and Equations (68-85); Investigation 4: Calculator Tables and Graphs (86-102); Comparing and Scaling Investigation 3: Comparing and Scaling Rates (51-72); Moving Straight Ahead Investigation 1: Walking Rates (15-40); Investigation 2: Exploring Linear Functions With Graphs and Tables (41-65); Investigation 3: Solving Equations (66-94); Investigation 4: Exploring Slope (95-121); Review ( ) SE: Variables and Patterns Investigation 3: Rules and Equations (49-63); Accentuate the Negative Investigation 1: Extending the Number System (12-13, 17, 19); Investigation 2: Adding and Subtracting Integers (26, 34, 37-38); Investigation 3: Multiplying and Dividing Integers (45, 48, 55-56, 58); Investigation 4: Properties of Operations (61, 65, 67, 73); Moving Straight Ahead Investigation 3: Solving Equations (46-69) TG: Variables and Patterns Investigation 3: Rules and Equations (68-85); Moving Straight Ahead Investigation 3: Solving Equations (66-94) Geometry & Measurement Use reasoning with proportions and ratios to determine measurements, justify formulas and solve realworld and mathematical problems involving circles and related geometric figures Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is π Calculate the circumference and area of circles and sectors of circles to solve problems in various contexts. SE: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (43); Investigation 3: Rules and Equations (58-60); Investigation 4: Calculator Tables and Graphs (64-65, 77); Stretching and Shrinking Investigation 1: Enlarging and Reducing Shapes (15, 17-18); Investigation 4: Similarity and Ratios (71); Moving Straight Ahead Investigation 3: Solving Equations (64); Filling and Wrapping Investigation 3: Prisms and Cylinders (39, 44) 9

10 Calculate the volume and surface area of cylinders and justify the formulas used. TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (64); Investigation 3: Rules and Equations (83-84); Investigation 4: Calculator Tables and Graphs (87-90, 101); Stretching and Shrinking Investigation 1: Enlarging and Reducing Shapes (30); Investigation 4: Similarity and Ratios (88); Moving Straight Ahead Investigation 3: Solving Equations (92); Filling and Wrapping Investigation 3: Prisms and Cylinders (73, 75) SE: Filling and Wrapping Investigation 1: Building Boxes (5-18); Investigation 2: Designing Rectangular Boxes (19-31); Investigation 3: Prisms and Cylinders (32-47); Investigation 4: Cones, Spheres, and Pyramids (48-61); Investigation 5: Scaling Boxes (62-75) TG: Filling and Wrapping Investigation 1: Building Boxes (13-35); Investigation 2: Designing Rectangular Boxes (36-54); Investigation 3: Prisms and Cylinders (55-77); Investigation 4: Cones, Spheres, and Pyramids (78-94); Investigation 5: Scaling Boxes (95-112) Analyze the effect of change of scale, translations and reflections on the attributes of two-dimensional figures Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors. SE: Stretching and Shrinking Investigation 1: Enlarging and Reducing Shapes (5-20); Investigation 2: Similar Figures (21-37); Investigation 3: Similar Polygons (38-57); Investigation 4: Similarity and Ratios (58-77); Investigation 5: Using Similar Triangles and Rectangles (78-93) TG: Stretching and Shrinking Investigation 1: Enlarging and Reducing Shapes (14-31); Investigation 2: Similar Figures (32-53); Investigation 3: Similar Polygons (54-72); Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-105) 10

11 Apply scale factors, length ratios and area ratios to determine side lengths and areas of similar geometric figures. SE: Stretching and Shrinking Investigation 2: Similar Figures (25-37); Investigation 3: Similar Polygons (42-57); Investigation 4: Similarity and Ratios (58-77); Investigation 5: Using Similar Triangles and Rectangles (78-93); Unit Project (94-95); Review (98-100); Comparing and Scaling Investigation 1: Making Comparisons (5-17); Investigation 2: Comparing Ratios, Percents, and Fractions (18-32); Investigation 3: Comparing and Scaling Rates (33-47); Investigation 4: Making Sense of Proportions (48-62) Use proportions and ratios to solve problems involving scale drawings and conversions of measurement units. TG: Stretching and Shrinking Investigation 2: Similar Figures (43-53); Investigation 3: Similar Polygons (65-72); Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-104); Review (105); Unit Project ( ); Comparing and Scaling Investigation 1: Making Comparisons (14-30); Investigation 2 Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (51-72); Investigation 4: Making Sense of Proportions (73-92) SE: Stretching and Shrinking Investigation 2: Similar Figures (25-37); Investigation 3: Similar Polygons (42-57); Investigation 4: Similarity and Ratios (58-77); Investigation 5: Using Similar Triangles and Rectangles (78-93); Unit Project (94-95); Review (98-100); Comparing and Scaling Investigation 1: Making Comparisons (5-17); Investigation 2: Comparing Ratios, Percents, and Fractions (18-32); Investigation 3: Comparing and Scaling Rates (33-47); Investigation 4: Making Sense of Proportions (48-62) TG: Stretching and Shrinking Investigation 2: Similar Figures (43-53); Investigation 3: Similar Polygons (65-72); Investigation 4: Similarity and Ratios (74-89); Investigation 5: Using Similar Triangles and Rectangles (90-104); Review (105); Unit Project ( ); Comparing and Scaling Investigation 1: Making Comparisons (14-30); Investigation 2 Comparing Ratios, Percents, and Fractions (31-50); Investigation 3: Comparing and Scaling Rates (51-72); Investigation 4: Making Sense of Proportions (73-92) 11

12 Graph and describe translations and reflections of figures on a coordinate grid and determine the coordinates of the vertices of the figure after the transformation. SE: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (38); Investigation 3: Multiplying and Dividing Integers (54, 57) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (60); Investigation 3: Multiplying and Dividing Integers (83-85) Data Analysis & Probability Use mean, median and range to draw conclusions about data and make predictions Design simple experiments and collect data. Determine mean, median and range for quantitative data and from data represented in a display. Use these quantities to draw conclusions about the data, compare different data sets, and make predictions. SE: Data Distributions Investigation 1: Making Sense of Variability (5-27); Investigation 2: Making Sense of Measures of Center (28-54), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (55-73); Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (74-85) TG: Data Distributions Investigation 1: Making Sense of Variability (19-42); Investigation 2: Making Sense of Measures of Center (44-71); Investigation 3: Comparing Distributions: Equal Numbers of Data Values (72-96); Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (97-118) Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet to examine this impact. SE: Data Distributions Investigation 1: Making Sense of Variability (12, 15, 17, 25); Investigation 2: Making Sense of Measures of Center (28); Investigation 3: Comparing Distributions: Equal Numbers of Data Values (70) TG: Data Distributions Investigation 1: Making Sense of Variability (37-43); Investigation 3: Comparing Distributions: Equal Numbers of Data Values (95) Display and interpret data in a variety of ways, including circle graphs and histograms Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology. SE: Data Distributions Investigation 1: Making Sense of Variability (5-27); Investigation 2: Making Sense of Measures of Center (28-54); Investigation 3: Comparing Distributions: Equal Numbers of Data Values (55-73); Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (74-85) 12

13 TG: Data Distributions Investigation 1: Making Sense of Variability (19-42); Investigation 2: Making Sense of Measures of Center (44-71); Investigation 3: Comparing Distributions: Equal Numbers of Data Values (72-96); Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (97-118) Calculate probabilities and reason about probabilities using proportions to solve real-world and mathematical problems Use random numbers generated by a calculator or a spreadsheet or taken from a table to simulate situations involving randomness, make a histogram to display the results, and compare the results to known probabilities. SE: Variables and Patterns Investigation 4: Calculator Tables and Graphs (78-79); What Do You Expect? Investigation 1: Evaluating Games of Chance (5-19); Investigation 2: Analyzing Situations Using an Area Model (20-37); Investigation 3: Expected Value (38-49); Investigation 4: Binomial Outcomes (50-60) TG: Variables and Patterns Investigation 4: Calculator Tables and Graphs (102); What Do You Expect? Investigation 1: Evaluating Games of Chance (17-35); Investigation 2: Analyzing Situations Using an Area Model (37-58); Investigation 3: Expected Value (59-76); Investigation 4: Binomial Outcomes (78-94) Calculate probability as a fraction of sample space or as a fraction of area. Express probabilities as percents, decimals and fractions. SE: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (24); Investigation 4: Calculator Tables and Graphs (78-79); Stretching and Shrinking Investigation 4: Similarity and Ratios (72); What Do You Expect? Investigation 1: Evaluating Games of Chance (5-19); Investigation 2: Analyzing Situations Using an Area Model (20-37); Investigation 3: Expected Value (38-49); Investigation 4: Binomial Outcomes (50-60); Data Distributions Investigation 3: Comparing Distributions: Equal Numbers of Data Values (70) 13

14 Use proportional reasoning to draw conclusions about and predict relative frequencies of outcomes based on probabilities. TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (40-41); Investigation 4: Calculator Tables and Graphs (102); Stretching and Shrinking Investigation 4: Similarity and Ratios (88); What Do You Expect? Investigation 1: Evaluating Games of Chance (17-35); Investigation 2: Analyzing Situations Using an Area Model (37-58); Investigation 3: Expected Value (59-76); Investigation 4: Binomial Outcomes (78-94); Data Distributions Investigation 3: Comparing Distributions: Equal Numbers of Data Values (95) SE: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (24); Investigation 4: Calculator Tables and Graphs (78-79); Stretching and Shrinking Investigation 4: Similarity and Ratios (72); What Do You Expect? Investigation 1: Evaluating Games of Chance (5-19); Investigation 2: Analyzing Situations Using an Area Model (20-37); Investigation 3: Expected Value (38-49); Investigation 4: Binomial Outcomes (50-60); Data Distributions Investigation 3: Comparing Distributions: Equal Numbers of Data Values (70) TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (40-41); Investigation 4: Calculator Tables and Graphs (102); Stretching and Shrinking Investigation 4: Similarity and Ratios (88); What Do You Expect? Investigation 1: Evaluating Games of Chance (17-35); Investigation 2: Analyzing Situations Using an Area Model (37-58); Investigation 3: Expected Value (59-76); Investigation 4: Binomial Outcomes (78-94); Data Distributions Investigation 3: Comparing Distributions: Equal Numbers of Data Values (95) 14