grade 8 prentice hall -...

G r a d e 8

Prentice HallConnected Mathematics 2, 8th Grade Units © 2009

C O R R E L A T E D T O

South Carolina Academic Standards for Mathematics 2007

Grade 8

Connected Mathematics 2, 8th Grade Units © 2009 Correlated to:

South Carolina Academic Standards for Mathematics 2007 (Grade 8)

1 SE = Student Edition TE = Teacher’s Edition

SOUTH CAROLINA ACADEMIC STANDARDS FOR MATHEMATICS,

GRADE 8

PAGE(S) WHERE TAUGHT (If submission is not a book, cite

appropriate location(s)) Mathematical Processes

The mathematical processes provide the framework for teaching

Standard 8-1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.

The indicators for this standard, which are appropriate for grades six though eight, are adapted from Principles and Standards for School Mathematics (NCTM 2000). Classroom application should be based on the standard and its indicators; the mathematical goals for the class; and the skills, needs, and understandings of the particular students.

Indicators

8-1.1 Generate and solve complex abstract problems that involve modeling physical, social, or mathematical phenomena.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (5-9, 19), Looking for Pythagoras Investigation 3: The Pythagorean Theorem (33-34), Investigation 4: Using the Pythagorean Theorem (46-48), Growing, Growing, Growing Investigation 1: Exponential Growth (8-9), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (22-25), Investigation 3: Quadratic Patterns of Change (40-41), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (48-49), Say It With Symbols Investigation 1: Equivalent Expressions (8-9), Investigation 3: Solving Equations (42-43), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (5-7), Investigation 5: Linear Inequalities (69-70), Samples and Populations Investigation 2: Choosing a Sample From a Population (34-35)

TE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (16-24, 34), Looking for Pythagoras Investigation 3: The Pythagorean Theorem (57-60), Investigation 4: Using the Pythagorean Theorem (74-78), Growing, Growing, Growing Investigation 1: Exponential Growth (31-34), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (63-68), Investigation 3: Quadratic Patterns of Change (89-94), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (76-78), Say It With Symbols Investigation 1: Equivalent Expressions (29-32), Investigation 3: Solving Equations (81-84), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (18-22), Investigation 5: Linear Inequalities (101-104), Samples and Populations Investigation 2: Choosing a Sample From a Population (67-70)





GRADE 8


appropriate location(s)) 8-1.2 Evaluate conjectures and pose follow-up questions to prove or disprove conjectures.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (8-9, 23), Investigation 2: Linear Models and Equations (46), Investigation 3: Inverse Variation (61), Looking for Pythagoras Investigation 1: Coordinate Grids (18), Investigation 2: Squaring Off (30), Investigation 3: The Pythagorean Theorem (31-32, 36-37, 45), Investigation 4: Using the Pythagorean Theorem (64), Growing, Growing, Growing Investigation 1: Exponential Growth (19), Investigation 2: Examining Growth Patterns (32), Investigation 3: Growth Factors and Growth Rates (35-36, 47), Investigation 4: Exponential Decay (58), Investigation 5: Patterns With Exponents (63, 73), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (18), Investigation 2: Quadratic Expressions (22-25, 39), Investigation 3: Quadratic Patterns of Change (54), Investigation 4: What Is a Quadratic Function? (62-63, 79), Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (26), Investigation 2: Symmetry Transformations (30-31, 44, 47), Investigation 3: Exploring Congruence (54-55, 64), Investigation 4: Applying Congruence and Symmetry (77), Investigation 5: Transforming Coordinates (95), Say It With Symbols Investigation 1: Equivalent Expressions (22), Investigation 2: Combining Expressions (36), Investigation 3: Solving Equations (55), Investigation 4: Looking Back at Functions (59, 71), Investigation 5: Reasoning With Symbols (73-75, 77, 82, 84), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (23), Investigation 2: Linear Equations and Inequalities (36), Investigation 3: Equations With Two or More Variables (51), Investigation 4: Solving Systems of Linear Equations Symbolically (54-55, 67-68), Investigation 5: Linear Inequalities (82), Samples and Populations Investigation 1: Comparing Data Sets (16, 25), Investigation 2: Choosing a Sample From a Population (46), Investigation 3: Solving Real-World Problems (47-50, 61), Investigation 4: Relating Two Variables (80)





GRADE 8


appropriate location(s)) TE: Thinking With Mathematical Models

Investigation 1: Exploring Data Patterns (21-24, 36), Investigation 2: Linear Models and Equations (60), Investigation 3: Inverse Variation (80), Looking for Pythagoras Investigation 1: Coordinate Grids (33), Investigation 2: Squaring Off (50), Investigation 3: The Pythagorean Theorem (52-56, 65-68, 72), Investigation 4: Using the Pythagorean Theorem (96), Growing, Growing, Growing Investigation 1: Exponential Growth (43), Investigation 2: Examining Growth Patterns (60), Investigation 3: Growth Factors and Growth Rates (67-70, 79), Investigation 4: Exponential Decay (97), Investigation 5: Patterns With Exponents (109-112, 116-117), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (45), Investigation 2: Quadratic Expressions (63-68, 86-87), Investigation 3: Quadratic Patterns of Change (114), Investigation 4: What Is a Quadratic Function? (137-143, 157), Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (42-43), Investigation 2: Symmetry Transformations (53-57, 72-73), Investigation 3: Exploring Congruence (87-91, 96), Investigation 4: Applying Congruence and Symmetry (111), Investigation 5: Transforming Coordinates (134), Say It With Symbols Investigation 1: Equivalent Expressions (43), Investigation 2: Combining Expressions (63), Investigation 3: Solving Equations (92), Investigation 4: Looking Back at Functions (103-106, 114), Investigation 5: Reasoning With Symbols (119-122, 127-128, 131-132), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (36), Investigation 2: Linear Equations and Inequalities (54), Investigation 3: Equations With Two or More Variables (74), Investigation 4: Solving Systems of Linear Equations Symbolically (81-84, 98-99), Investigation 5: Linear Inequalities (122), Samples and Populations Investigation 1: Comparing Data Sets (39-46, 51), Investigation 2: Choosing a Sample From a Population (74-75), Investigation 3: Solving Real-World Problems (77-3, 94), Investigation 4: Relating Two Variables (109)





GRADE 8


appropriate location(s)) 8-1.3 Use inductive and deductive reasoning to formulate mathematical arguments.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (24-26), Looking for Pythagoras Investigation 1: Coordinate Grids (10), Growing, Growing, Growing Investigation 2: Examining Growth Patterns (23), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (27-29), Investigation 4: What Is a Quadratic Function? (56), Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (28-29), Say It With Symbols Investigation 3: Solving Equations (42-43), Investigation 5: Reasoning With Symbols (73-75), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (10-11), Investigation 4: Solving Systems of Linear Equations (57-58), Samples and Populations Investigation 2: Choosing a Sample From a Population (29-30)

TE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (38-42), Looking for Pythagoras Investigation 1: Coordinate Grids (23-26), Growing, Growing, Growing Investigation 2: Examining Growth Patterns (53-56), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (75-78), Investigation 4: What Is a Quadratic Function? (117-120), Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (45-51), Say It With Symbols Investigation 3: Solving Equations (81-84), Investigation 5: Reasoning With Symbols (119-122), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (27-30), Investigation 4: Solving Systems of Linear Equations (89-94), Samples and Populations Investigation 2: Choosing a Sample From a Population (59-62)





GRADE 8


appropriate location(s)) 8-1.4 Understand equivalent symbolic expressions as distinct symbolic forms that represent the same relationship.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (30-31), Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (52), Growing, Growing, Growing Investigation 2: Examining Growth Patterns (22), Investigation 5: Patterns With Exponents (61-62), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (19-20, 25-26), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (51-53), Say It With Symbols Investigation 1: Equivalent Expressions (7), Investigation 2: Combining Expressions (26-27), The Shapes of Algebra Investigation 3: Equations With Two or More Variables (39-40), Investigation 4: Solving Systems of Linear Equations (54-55)

TE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (47-50), Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (87-90), Growing, Growing, Growing Investigation 2: Examining Growth Patterns (49-52), Investigation 5: Patterns With Exponents (105-108), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (48-56, 69-73), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (83-86), Say It With Symbols Investigation 1: Equivalent Expressions (25-28), Investigation 2: Combining Expressions (53-56), The Shapes of Algebra Investigation 3: Equations With Two or More Variables (61-64), Investigation 4: Solving Systems of Linear Equations (81-84)





GRADE 8


appropriate location(s)) 8-1.5 Generalize mathematical statements based on inductive and deductive reasoning.

SE: Thinking With Mathematical Models Investigation 3: Inverse Variation (52), Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (50-51), Growing, Growing, Growing Investigation 3: Growth Factors and Growth Rates (37), Investigation 4: Exponential Decay (48-49), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (7-8), Investigation 4: What Is a Quadratic Function? (60-61), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (51-53), Say It With Symbols Investigation 3: Solving Equations (37-38), Investigation 5: Reasoning With Symbols (72-73), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (26-27), Samples and Populations Investigation 1: Comparing Data Sets (7-9)

TE: Thinking With Mathematical Models Investigation 3: Inverse Variation (71-74), Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (83-86), Growing, Growing, Growing Investigation 3: Growth Factors and Growth Rates (71-74), Investigation 4: Exponential Decay (81-84), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (25-30), Investigation 4: What Is a Quadratic Function? (129-135), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (83-86), Say It With Symbols Investigation 3: Solving Equations (65-68), Investigation 5: Reasoning With Symbols (116-118), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (43-46), Samples and Populations Investigation 1: Comparing Data Sets (20-24)





GRADE 8


appropriate location(s)) 8-1.6 Use correct and clearly written or spoken words, variables, and notations to communicate about significant mathematical tasks.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (23), Investigation 2: Linear Models and Equations (27-29, 46), Investigation 3: Inverse Variation (61), Looking for Pythagoras Investigation 1: Coordinate Grids (18), Investigation 2: Squaring Off (20-21, 30), Investigation 3: The Pythagorean Theorem (45), Investigation 4: Using the Pythagorean Theorem (64), Growing, Growing, Growing Investigation 1: Exponential Growth (19), Investigation 2: Examining Growth Patterns (32), Investigation 3: Growth Factors and Growth Rates (33-34, 47), Investigation 4: Exponential Decay (58), Investigation 5: Patterns With Exponents (59-61, 73), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (9-10, 18), Investigation 2: Quadratic Expressions (39), Investigation 3: Quadratic Patterns of Change (54), Investigation 4: What Is a Quadratic Function? (79), Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (26), Investigation 2: Symmetry Transformations (33-35, 47), Investigation 3: Exploring Congruence (64), Investigation 4: Applying Congruence and Symmetry (77), Investigation 5: Transforming Coordinates (95), Say It With Symbols Investigation 1: Equivalent Expressions (6, 22), Investigation 2: Combining Expressions (36), Investigation 3: Solving Equations (40-41, 55), Investigation 4: Looking Back at Functions (71), Investigation 5: Reasoning With Symbols (84), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (23), Investigation 2: Linear Equations and Inequalities (24-25, 36), Investigation 3: Equations With Two or More Variables (51), Investigation 4: Solving Systems of Linear Equations Symbolically (68), Investigation 5: Linear Inequalities (82), Samples and Populations Investigation 1: Comparing Data Sets (12-15, 25), Investigation 2: Choosing a Sample From a Population (46), Investigation 3: Solving Real-World Problems (51-53, 61), Investigation 4: Relating Two Variables (80)





GRADE 8



Investigation 1: Exploring Data Patterns (36), Investigation 2: Linear Models and Equations (43-46, 60), Investigation 3: Inverse Variation (80), Looking for Pythagoras Investigation 1: Coordinate Grids (33), Investigation 2: Squaring Off (39-42, 50), Investigation 3: The Pythagorean Theorem (72), Investigation 4: Using the Pythagorean Theorem (96), Growing, Growing, Growing Investigation 1: Exponential Growth (43), Investigation 2: Examining Growth Patterns (60), Investigation 3: Growth Factors and Growth Rates (62-66, 79), Investigation 4: Exponential Decay (97), Investigation 5: Patterns With Exponents (99-104, 116-117), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (31-38, 45), Investigation 2: Quadratic Expressions (86-87), Investigation 3: Quadratic Patterns of Change (114), Investigation 4: What Is a Quadratic Function? (157), Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (42-43), Investigation 2: Symmetry Transformations (63-66, 73), Investigation 3: Exploring Congruence (96), Investigation 4: Applying Congruence and Symmetry (111), Investigation 5: Transforming Coordinates (134), Say It With Symbols Investigation 1: Equivalent Expressions (20-24, 43), Investigation 2: Combining Expressions (63), Investigation 3: Solving Equations (73-80, 92), Investigation 4: Looking Back at Functions (114), Investigation 5: Reasoning With Symbols (132), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (36), Investigation 2: Linear Equations and Inequalities (38-42, 54), Investigation 3: Equations With Two or More Variables (74), Investigation 4: Solving Systems of Linear Equations Symbolically (98-99), Investigation 5: Linear Inequalities (122), Samples and Populations Investigation 1: Comparing Data Sets (31-38, 51), Investigation 2: Choosing a Sample From a Population (74-75), Investigation 3: Solving Real-World Problems (83-89, 94), Investigation 4: Relating Two Variables (109)





GRADE 8


appropriate location(s)) 8-1.7 Generalize connections among a variety of representational forms and real-world situations.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (14-17, 21), Investigation 2: Linear Models and Equations (24-32, 34-35, 37-39, 41-45), Investigation 3: Inverse Variation (49-52, 54-60), Looking for Pythagoras Investigation 1: Coordinate Grids (17), Investigation 3: The Pythagorean Theorem (36-37), Investigation 4: Using the Pythagorean Theorem (49-50, 53, 55, 57, 62-63), Growing, Growing, Growing Investigation 1: Exponential Growth (12-14), Investigation 2: Examining Growth Patterns (20-27, 29, 31), Investigation 3: Growth Factors and Growth Rates (33-46), Investigation 4: Exponential Decay (49-57), Investigation 5: Patterns With Exponents (67, 71-72), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (12-13, 15, 17), Investigation 2: Quadratic Expressions (35), Investigation 3: Quadratic Patterns of Change (42-43, 46, 50), Investigation 4: What Is a Quadratic Function? (57-58, 65, 70, 76), Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (8-11), Investigation 4: Applying Congruence and Symmetry (66-67), Say It With Symbols Investigation 1: Equivalent Expressions (12-14, 16-21), Investigation 2: Combining Expressions (23-35), Investigation 3: Solving Equations (37-39, 45-47, 49-52), Investigation 4: Looking Back at Functions (56-57, 60-62, 65, 67-69), Investigation 5: Reasoning With Symbols (79-81), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (24-25, 30), Investigation 3: Equations With Two or More Variables (37-38, 40-45, 47, 49), Investigation 4: Solving Systems of Linear Equations Symbolically (53, 59, 65), Investigation 5: Linear Inequalities (69-72, 76-81), Samples and Populations Investigation 1: Comparing Data Sets (5-25), Investigation 2: Choosing a Sample From a Population (26-46), Investigation 3: Solving Real-World Problems (47-61), Investigation 4: Relating Two Variables (62-80)





GRADE 8



Investigation 1: Exploring Data Patterns (32-35), Investigation 2: Linear Models and Equations (38-60), Investigation 3: Inverse Variation (67-80), Looking for Pythagoras Investigation 1: Coordinate Grids (33), Investigation 3: The Pythagorean Theorem (65-68), Investigation 4: Using the Pythagorean Theorem (79-82, 91-93, 95-96), Growing, Growing, Growing Investigation 1: Exponential Growth (40-41), Investigation 2: Examining Growth Patterns (45-60), Investigation 3: Growth Factors and Growth Rates (62-79), Investigation 4: Exponential Decay (81-97), Investigation 5: Patterns With Exponents (115-116), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (40-41, 43-45), Investigation 2: Quadratic Expressions (84), Investigation 3: Quadratic Patterns of Change (95-100, 108, 111-112), Investigation 4: What Is a Quadratic Function? (121-128, 145-146, 150-151, 154-155), Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (23-30), Investigation 4: Applying Congruence and Symmetry (99-102), Say It With Symbols Investigation 1: Equivalent Expressions (37-38, 40-42), Investigation 2: Combining Expressions (45-62), Investigation 3: Solving Equations (65-72, 85-86, 89-90), Investigation 4: Looking Back at Functions (94-96, 107-113), Investigation 5: Reasoning With Symbols (128-130), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (38-42, 51), Investigation 3: Equations With Two or More Variables (56-60, 65-74), Investigation 4: Solving Systems of Linear Equations Symbolically (76-80, 95, 97), Investigation 5: Linear Inequalities (101-108, 113-122), Samples and Populations Investigation 1: Comparing Data Sets (20-51), Investigation 2: Choosing a Sample From a Population (54-75), Investigation 3: Solving Real-World Problems (77-94), Investigation 4: Relating Two Variables (96-109)





GRADE 8


appropriate location(s)) 8-1.8 Use standard and nonstandard representations to convey and support mathematical relationships.

SE: Thinking With Mathematical Models Investigation 3: Inverse Variation (49-51), Looking for Pythagoras Investigation 1: Coordinate Grids (11), Investigation 2: Squaring Off (22), Growing, Growing, Growing Investigation 4: Exponential Decay (49-51), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (21-22), Investigation 3: Quadratic Patterns of Change (42-43), Kaleidoscopes, Hubcaps, and Mirrors Investigation 5: Transforming Coordinates (82-83), Say It With Symbols Investigation 1: Equivalent Expressions (9-11), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (28-29), Samples and Populations Investigation 4: Relating Two Variables (63-65)

TE: Thinking With Mathematical Models Investigation 3: Inverse Variation (67-70), Looking for Pythagoras Investigation 1: Coordinate Grids (27-30), Investigation 2: Squaring Off (43-46), Growing, Growing, Growing Investigation 4: Exponential Decay (85-92), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (57-62), Investigation 3: Quadratic Patterns of Change (95-100), Kaleidoscopes, Hubcaps, and Mirrors Investigation 5: Transforming Coordinates (117-120), Say It With Symbols Investigation 1: Equivalent Expressions (33-36), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (47-50), Samples and Populations Investigation 4: Relating Two Variables (99-102)

Number and Operations

Standard 8-2: The student will demonstrate through the mathematical processes an understanding of operations with integers, the effects of multiplying and dividing with rational numbers, the comparative magnitude of rational and irrational numbers, the approximation of cube and square roots, and the application of proportional reasoning.

Indicators

8-2.1 Apply an algorithm to add, subtract, multiply, and divide integers.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (41), Say It With Symbols Investigation 1: Equivalent Expressions (17), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (17), Investigation 2: Linear Equations and Inequalities (32), SC Additional Lesson Grade 8 Topic 1: Integer Operations (1-2)





GRADE 8



Investigation 2: Linear Models and Equations (59), Say It With Symbols Investigation 1: Equivalent Expressions (41), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (17), Investigation 2: Linear Equations and Inequalities (53), SC Additional Lesson Grade 8 Topic 1: Integer Operations (1-4)

8-2.2 Understand the effect of multiplying and dividing a rational number by another rational number.

SE: SC Additional Lesson Grade 8 Topic 3: Multiplying and Dividing Fractions and Decimals (5-6)

TE: SC Additional Lesson Grade 8 Topic 3: Multiplying and Dividing Fractions and Decimals (9-12)

8-2.3 Represent the approximate location of irrational numbers on a number line.

SE: Looking for Pythagoras Investigation 2: Squaring Off (26, 28), Investigation 4: Using the Pythagorean Theorem (46-48)

TE: Looking for Pythagoras Investigation 2: Squaring Off (48-49), Investigation 4: Using the Pythagorean Theorem (74-78)

8-2.4 Compare rational and irrational numbers by using the symbols ≤, ≥, <, >, and =.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (40), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (32), SC Additional Lesson Grade 8 Topic 2: Comparing Numbers and Absolute Value (3-4)

TE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (59), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (53), SC Additional Lesson Grade 8 Topic 2: Comparing Numbers and Absolute Value (5-8)

8-2.5 Apply the concept of absolute value. SE: SC Additional Lesson Grade 8 Topic 2: Comparing Numbers and Absolute Value (3-4)

TE: SC Additional Lesson Grade 8 Topic 2: Comparing Numbers and Absolute Value (5-8)

8-2.6 Apply strategies and procedures to approximate between two whole numbers the square roots or cube roots of numbers less than 1,000.

SE: Looking for Pythagoras Investigation 2 (20-22, 24-27, 29), Investigation 3: The Pythagorean Theorem (35, 40, 43-44), Investigation 4: Using the Pythagorean Theorem (46-49, 57-59), Growing, Growing, Growing Investigation 3: Growth Factors and Growth Rates (33-36), Samples and Populations Investigation 1: Comparing Data Sets (12-16), Investigation 2: Choosing a Sample From a Population (27-29, 31-35), Investigation 3: Solving Real-World Problems (47-53)





GRADE 8


appropriate location(s)) TE: Looking for Pythagoras Investigation 2

(39-50), Investigation 3: The Pythagorean Theorem (61-64, 69-71), Investigation 4: Using the Pythagorean Theorem (74-82, 92-94), Growing, Growing, Growing Investigation 3: Growth Factors and Growth Rates (62-70), Samples and Populations Investigation 1: Comparing Data Sets (31-46), Investigation 2: Choosing a Sample From a Population (54-58, 63-70), Investigation 3: Solving Real-World Problems (77-89)

8-2.7 Apply ratios, rates, and proportions. SE: Thinking With Mathematical Models Investigation 3: Inverse Variation (58-59), SC Additional Lesson Grade 8 Topic 4: Proportional Reasoning (7-8)

TE: Thinking With Mathematical Models Investigation 3: Inverse Variation (79), SC Additional Lesson Grade 8 Topic 4: Proportional Reasoning (13-16)

Algebra

Standard 8-3: The student will demonstrate through the mathematical processes an understanding of equations, inequalities, and linear functions.

Indicators

8-3.1 Translate among verbal, graphic, tabular, and algebraic representations of linear functions.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (27-32, 34-45), Say It With Symbols Investigation 1: Equivalent Expressions (5-7, 12-13, 16, 20-21), Investigation 2: Combining Expressions (24-25, 29-30, 32-33), Investigation 3: Solving Equations (45, 52), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (24-25, 30), Investigation 3: Equations With Two or More Variables (40-41, 44-45)

TE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (43-60), Say It With Symbols Investigation 1: Equivalent Expressions (20-28, 37-38, 40, 42), Investigation 2: Combining Expressions (49-52, 57-61), Investigation 3: Solving Equations (85, 90), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (38-42, 51), Investigation 3: Equations With Two or More Variables (65-68, 71-72)





GRADE 8


appropriate location(s)) 8-3.2 Represent algebraic relationships with equations and inequalities.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (27-45), Growing, Growing, Growing Investigation 1: Exponential Growth (6-9, 12-14, 16, 18), Investigation 2: Examining Growth Patterns (20-21, 23-26, 28-29), Investigation 3: Growth Factors and Growth Rates (37-39, 44-45), Investigation 4: Exponential Decay (49-51), Investigation 5: Patterns With Exponents (72), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (9-10, 13-15, 17), Investigation 2: Quadratic Expressions (19-22, 30-31, 33, 35), Investigation 3: Quadratic Patterns of Change (40-44, 49, 52-53), Say It With Symbols Investigation 1: Equivalent Expressions (19), Investigation 2: Combining Expressions (24-33, 35), Investigation 3: Solving Equations (45, 52), Investigation 4: Looking Back at Functions (60, 62-63), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (10-13, 20), Investigation 2: Linear Equations and Inequalities (24-36), Investigation 3: Equations With Two or More Variables (40-45, 49), Investigation 4: Solving Systems of Linear Equations (65), Investigation 5: Linear Equalities (69-70, 73-75, 78-81)





GRADE 8



Investigation 2: Linear Models and Equations (43-60), Growing, Growing, Growing Investigation 1: Exponential Growth (25-34, 40-43), Investigation 2: Examining Growth Patterns (45-48, 53-59), Investigation 3: Growth Factors and Growth Rates (71-78), Investigation 4: Exponential Decay (85-88), Investigation 5: Patterns With Exponents (116), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (31-38, 41-44), Investigation 2: Quadratic Expressions (48-62, 79-81, 83-85), Investigation 3: Quadratic Patterns of Change (89-107, 110-113), Say It With Symbols Investigation 1: Equivalent Expressions (41), Investigation 2: Combining Expressions (49-62), Investigation 3: Solving Equations (85, 90), Investigation 4: Looking Back at Functions (107-110), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (27-32, 34), Investigation 2: Linear Equations and Inequalities (38-54), Investigation 3: Equations With Two or More Variables (65-74), Investigation 4: Solving Systems of Linear Equations (97), Investigation 5: Linear Equalities (101-104, 109-112, 117-122)

8-3.3 Use commutative, associative, and distributive properties to examine the equivalence of a variety of algebraic expressions.

SE: Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (21-38), Say It With Symbols Investigation 1: Equivalent Expressions (5-7, 9-11, 13-16, 18, 20-21), Investigation 2: Combining Expressions (23-25, 31), Investigation 3: Solving Equations (37-41, 46-54), Investigation 4: Looking Back at Functions (66), Investigation 5: Reasoning With Symbols (78), The Shapes of Algebra Investigation 3: Equations With Two or More Variables (39-40)

TE: Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (57-86), Say It With Symbols Investigation 1: Equivalent Expressions (20-28, 33-36, 37-43), Investigation 2: Combining Expressions (45-52, 58), Investigation 3: Solving Equations (65-80, 85-92), Investigation 4: Looking Back at Functions (111), Investigation 5: Reasoning With Symbols (128), The Shapes of Algebra Investigation 3: Equations With Two or More Variables (61-64)





GRADE 8


appropriate location(s)) 8-3.4 Apply procedures to solve multistep equations.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (19), Investigation 2: Linear Models and Equations (30-32, 38-40, 42-44), Investigation 3: Inverse Variation (58), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (16), Investigation 3: Quadratic Patterns of Change (40-46, 49-50, 52-53), Investigation 4: What Is a Quadratic Function? (56-58, 64-66, 69-70, 72, 74, 76), Say It With Symbols Investigation 2: Combining Expressions (24-32, 35), Investigation 3: Solving Equations (37-39, 42-43, 45-48, 50-52), Investigation 5: Reasoning With Symbols (72-73, 80-81, 83), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (32), Investigation 4: Solving Systems of Linear Equations (54-58, 60, 65)

TE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (35), Investigation 2: Linear Models and Equations (47-54, 57-60), Investigation 3: Inverse Variation (78-79), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (44), Investigation 3: Quadratic Patterns of Change (89-108, 110-113), Investigation 4: What Is a Quadratic Function? (117-128, 145-148, 150-151, 153-155), Say It With Symbols Investigation 2: Combining Expressions (49-62), Investigation 3: Solving Equations (65-72, 81-90), Investigation 5: Reasoning With Symbols (116-118, 129-131), The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (53), Investigation 4: Solving Systems of Linear Equations (81-97)





GRADE 8


appropriate location(s)) 8-3.5 Classify relationships between two variables in graphs, tables, and/or equations as either linear or nonlinear.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (10-11, 20-21), Investigation 3: Inverse Variation (49-52, 54-57), Growing, Growing, Growing Investigation 1: Exponential Growth (10, 14-15), Investigation 2: Examining Growth Patterns (29), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (7-8), Investigation 2: Quadratic Expressions (35-36), Investigation 3: Quadratic Patterns of Change (51), Investigation 4: What Is a Quadratic Function? (62-63), Say It With Symbols Investigation 2: Combining Expressions (24-25), Investigation 4: Looking Back at Functions (57-59, 62-63, 65-66), Investigation 5: Reasoning With Symbols (81-82), The Shapes of Algebra Investigation 4: Solving Systems of Linear Equations (63)

TE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (25-30, 35-36), Investigation 3: Inverse Variation (67-74, 76-78), Growing, Growing, Growing Investigation 1: Exponential Growth (35-38, 41), Investigation 2: Examining Growth Patterns (59), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (25-30), Investigation 2: Quadratic Expressions (84-85), Investigation 3: Quadratic Patterns of Change (112), Investigation 4: What Is a Quadratic Function? (137-143), Say It With Symbols Investigation 2: Combining Expressions (49-52), Investigation 4: Looking Back at Functions (97-106, 109-111), Investigation 5: Reasoning With Symbols (130), The Shapes of Algebra Investigation 4: Solving Systems of Linear Equations (97)

8-3.6 Identify the coordinates of the x- and y-intercepts of a linear equation from a graph, equation, and/or table.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (30-31, 35, 38), Growing, Growing, Growing Investigation 1: Exponential Growth (16), Investigation 2: Examining Growth Patterns (29-30), Say It With Symbols Investigation 2: Combining Expressions (23-24), Investigation 4: Looking Back at Functions (56-57, 59, 66), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (8-9, 17), Investigation 2: Linear Equations and Inequalities (24-25, 32), Investigation 3: Equations With Two or More Variables (39-41, 45), Investigation 4: Solving Systems of Linear Equations (61)





GRADE 8



Investigation 2: Linear Models and Equations (47-50, 56-57), Growing, Growing, Growing Investigation 1: Exponential Growth (42), Investigation 2: Examining Growth Patterns (59), Say It With Symbols Investigation 2: Combining Expressions (45-48), Investigation 4: Looking Back at Functions (94-96, 103-106, 111), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (23-26, 33), Investigation 2: Linear Equations and Inequalities (38-42, 53), Investigation 3: Equations With Two or More Variables (65-68, 72), Investigation 4: Solving Systems of Linear Equations (96)

8-3.7 Identify the slope of a linear equation from a graph, equation, and/or table.

SE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (27-31, 34-37, 39), Growing, Growing, Growing Investigation 1: Exponential Growth (16), Investigation 2: Examining Growth Patterns (30), Say It With Symbols Investigation 2: Combining Expressions (23-24), Investigation 3: Solving Equations (39), Investigation 4: Looking Back at Functions (59), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (8-9), Investigation 2: Linear Equations and Inequalities (32), Investigation 3: Equations With Two or More Variables (39-41, 45, 48), Investigation 4: Solving Systems of Linear Equations (61)

TE: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (43-50, 55-56, 58), Growing, Growing, Growing Investigation 1: Exponential Growth (42), Investigation 2: Examining Growth Patterns (59), Say It With Symbols Investigation 2: Combining Expressions (45-48), Investigation 3: Solving Equations (69-72), Investigation 4: Looking Back at Functions (103-106), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (23-26), Investigation 2: Linear Equations and Inequalities (53), Investigation 3: Equations With Two or More Variables (65-68, 72-73), Investigation 4: Solving Systems of Linear Equations (96)





GRADE 8


appropriate location(s)) Geometry

Standard 8-4: The student will demonstrate through the mathematical processes an understanding of the Pythagorean theorem; the use of ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane; and the effect of a dilation in a coordinate plane.

Indicators

8-4.1 Apply the Pythagorean theorem. SE: Looking for Pythagoras Investigation 3: The Pythagorean Theorem (35-38, 40, 42-43), Investigation 4: Using the Pythagorean Theorem (46-64), Say It With Symbols Investigation 3: Solving Equations (50), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (5-23)

TE: Looking for Pythagoras Investigation 3: The Pythagorean Theorem (61-71), Investigation 4: Using the Pythagorean Theorem (74-96), Say It With Symbols Investigation 3: Solving Equations (89), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (18-36)

8-4.2 Use ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (10-11), Investigation 2: Linear Models and Equations (24-26), Investigation 3: Inverse Variation (47-51), Looking for Pythagoras Investigation 1: Coordinate Grids (7-10, 12-17), Investigation 2: Squaring Off (27-28), Investigation 3: The Pythagorean Theorem (39, 44), Investigation 4: Using the Pythagorean Theorem (60), Growing, Growing, Growing Investigation 1: Exponential Growth (6-9, 12-13, 16), Investigation 2: Examining Growth Patterns (20-21, 27-29, 31), Investigation 4: Exponential Decay (51-52, 54-55), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (6, 9-11, 13-17), Investigation 2: Quadratic Expressions (19-20, 30, 35), Investigation 4: What Is a Quadratic Function? (57-58, 65-66, 70-71), Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (42), Investigation 3: Exploring Congruence (63), Investigation 5: Transforming Coordinates (78-95), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (8-9, 14-15), Investigation 3: Equations With Two or More Variables (37-38, 40-44, 49), Investigation 5: Linear Inequalities (69-70)





GRADE 8



Investigation 1: Exploring Data Patterns (25-30), Investigation 2: Linear Models and Equations (38-42), Investigation 3: Inverse Variation (62-70), Looking for Pythagoras Investigation 1: Coordinate Grids (17-26, 31-33), Investigation 2: Squaring Off (49), Investigation 3: The Pythagorean Theorem (69, 72), Investigation 4: Using the Pythagorean Theorem (95), Growing, Growing, Growing Investigation 1: Exponential Growth (31-34, 40, 42), Investigation 2: Examining Growth Patterns (45-48, 58-60), Investigation 4: Exponential Decay (89-92, 94), Frogs, Fleas, and Painted Cubes Investigation 1: Introduction to Quadratic Relationships (20-24, 31-45), Investigation 2: Quadratic Expressions (48-56, 79-81, 84), Investigation 4: What Is a Quadratic Function? (121-128, 145, 150-152), Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (71), Investigation 3: Exploring Congruence (96), Investigation 5: Transforming Coordinates (113-134), The Shapes of Algebra Investigation 1: Equations for Circles and Polygons (23-26, 32), Investigation 3: Equations With Two or More Variables (56-60, 65-71, 73), Investigation 5: Linear Inequalities (101-104)

8-4.3 Apply a dilation to a square, rectangle, or right triangle in a coordinate plane.

SE: Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (42-43), SC Additional Lesson Grade 8 Topic 10: Dilations (19-20)

TE: Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (71-72), SC Additional Lesson Grade 8 Topic 10: Dilations (37-40)

8-4.4 Analyze the effect of a dilation on a square, rectangle, or right triangle in a coordinate plane.

SE: Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (42-43), SC Additional Lesson Grade 8 Topic 10: Dilations (19-20)

TE: Kaleidoscopes, Hubcaps, and Mirrors Investigation 2: Symmetry Transformations (71-72), SC Additional Lesson Grade 8 Topic 10: Dilations (37-40)





GRADE 8


appropriate location(s)) Measurement

Standard 8-5: The student will demonstrate through the mathematical processes an understanding of the proportionality of similar figures; the necessary levels of accuracy and precision in measurement; the use of formulas to determine circumference, perimeter, area, and volume; and the use of conversions within and between the U.S. Customary System and the metric system.

Indicators

8-5.1 Use proportional reasoning and the properties of similar shapes to determine the length of a missing side.

SE: Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (58), SC Additional Lesson Grade 8 Topic 11: Similar Shapes and Proportions (21-22)

TE: Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (93), SC Additional Lesson Grade 8 Topic 11: Similar Shapes and Proportions (41-44)

8-5.2 Explain the effect on the area of two-dimensional shapes and on the volume of three-dimensional shapes when one or more of the dimensions are changed.

SE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (16-17), Investigation 3: Inverse Variation (56-57), Growing, Growing, Growing Investigation 2: Examining Growth Patterns (29), Investigation 3: Growth Factors and Growth Rates (43), Investigation 5: Patterns With Exponents (67), Frogs, Fleas, and Painted Cubes Investigation 4: What Is a Quadratic Function? (70-71), SC Additional Lesson Grade 8 Topic 11: Similar Shapes and Proportions (21-22)

TE: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (33-34), Investigation 3: Inverse Variation (77-78), Growing, Growing, Growing Investigation 2: Examining Growth Patterns (59), Investigation 3: Growth Factors and Growth Rates (77), Investigation 5: Patterns With Exponents (114-115), Frogs, Fleas, and Painted Cubes Investigation 4: What Is a Quadratic Function? (150-152), SC Additional Lesson Grade 8 Topic 11: Similar Shapes and Proportions (41-44)

8-5.3 Apply strategies and formulas to determine the volume of the three-dimensional shapes cone and sphere.

SE: Looking for Pythagoras Investigation 3: The Pythagorean Theorem (41-42), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (62), Say It With Symbols Investigation 4: Looking Back at Functions (68), SC Additional Lesson Grade 8 Topic 6: Investigating Volume (11-12)





GRADE 8


appropriate location(s)) TE: Looking for Pythagoras Investigation 3:

The Pythagorean Theorem (70), Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (96), Say It With Symbols Investigation 4: Looking Back at Functions (113), SC Additional Lesson Grade 8 Topic 6: Investigating Volume (21-24)

8-5.4 Apply formulas to determine the exact (pi) circumference and area of a circle.

SE: Looking for Pythagoras Investigation 1: Coordinate Grids (16), Growing, Growing, Growing Investigation 4: Exponential Decay (56), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (36), Investigation 4: What Is a Quadratic Function? (72), Say It With Symbols Investigation 1: Equivalent Expressions (16), SC Additional Lesson Grade 8 Topic 5: Circles (9-10)

TE: Looking for Pythagoras Investigation 1: Coordinate Grids (32), Growing, Growing, Growing Investigation 4: Exponential Decay (95), Frogs, Fleas, and Painted Cubes Investigation 2: Quadratic Expressions (85), Investigation 4: What Is a Quadratic Function? (153), Say It With Symbols Investigation 1: Equivalent Expressions (40), SC Additional Lesson Grade 8 Topic 5: Circles (17-20)

8-5.5 Apply formulas to determine the perimeters and areas of trapezoids.

SE: SC Additional Lesson Grade 8 Topic 9: Formulas for Trapezoids (17-18)

TE: SC Additional Lesson Grade 8 Topic 9: Formulas for Trapezoids (33-36)

8-5.6 Analyze a variety of measurement situations to determine the necessary level of accuracy and precision.

SE: SC Additional Lesson Grade 8 Topic 7: Accurate and Precise Measurements (13-14)

TE: SC Additional Lesson Grade 8 Topic 7: Accurate and Precise Measurements (25-28)

8-5.7 Use multistep unit analysis to convert between and within U.S. Customary System and the metric system.

SE: Growing, Growing, Growing Investigation 5: Patterns With Exponents (71-72), SC Additional Lesson Grade 8 Topic 8: Dimensional Analysis (15-16)

TE: Growing, Growing, Growing Investigation 5: Patterns With Exponents (116), SC Additional Lesson Grade 8 Topic 8: Dimensional Analysis (29-32)





GRADE 8


appropriate location(s)) Data Analysis and Probability

Standard 8-6: The student will demonstrate through the mathematical processes an understanding of the relationships between two variables within one population or sample.

Indicators

8-6.1 Generalize the relationship between two sets of data by using scatterplots and lines of best fit.

SE: Samples and Populations Investigation 4: Relating Two Variables (62-71, 73, 76)

TE: Samples and Populations Investigation 4: Relating Two Variables (96-109)

8-6.2 Organize data in matrices or scatterplots as appropriate.

SE: Samples and Populations Investigation 4: Relating Two Variables (62-65, 70)

TE: Samples and Populations Investigation 4: Relating Two Variables (96-102, 107)

8-6.3 Use theoretical and experimental probability to make inferences and convincing arguments about an event or events.

SE: Samples and Populations Investigation 2: Choosing a Sample From a Population (42-43), SC Additional Lesson Grade 8 Topic 12: Theoretical Probability (23-24), Topic 13: Experimental Probability (25-26)

TE: Samples and Populations Investigation 2: Choosing a Sample From a Population (73-74), SC Additional Lesson Grade 8 Topic 12: Theoretical Probability (45-48), Topic 13: Experimental Probability (49-52)

8-6.4 Apply procedures to calculate the probability of two dependent events.

SE: SC Additional Lesson Grade 8 Topic 12: Theoretical Probability (23-24), Topic 13: Experimental Probability (25-26)

TE: SC Additional Lesson Grade 8 Topic 12: Theoretical Probability (45-48), Topic 13: Experimental Probability (49-52)

8-6.5 Interpret the probability for two dependent events.



8-6.6 Apply procedures to compute the odds of a given event.



8-6.7 Analyze probability using area models. SE: SC Additional Lesson Grade 8 Topic 12: Theoretical Probability (23-24), Topic 13: Experimental Probability (25-26)






GRADE 8


appropriate location(s)) 8-6.8 Interpret graphic and tabular data representations by using range and the measures of central tendency (mean, median, and mode).

SE: Samples and Populations Investigation 1: Comparing Data Sets (5-25), Investigation 2: Choosing a Sample From a Population (31-35, 40), Investigation 3: Solving Real-World Problems (59), Investigation 4: Relating Two Variables (71, 74), SC Additional Lesson Grade 8 Topic 14: Mean, Median, and Mode (27-28)

TE: Samples and Populations Investigation 1: Comparing Data Sets (20-51), Investigation 2: Choosing a Sample From a Population (63-70, 72-73), Investigation 3: Solving Real-World Problems (93), Investigation 4: Relating Two Variables (108), SC Additional Lesson Grade 8 Topic 14: Mean, Median, and Mode (53-54)

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