Big Ideas Math California Course 2 Accelerated

Big Ideas Math California Course 2 Accelerated
作者:
Ron Larson and Laurie Boswell
语言:
英文
类型:
EPUB
大小:
72.82 MB

内容简介

Big Ideas Math California Course 2 Accelerated is a comprehensive mathematics textbook designed for accelerated seventh-grade students in California. It covers a wide range of topics including rational numbers, proportions, percents, expressions, equations, inequalities, geometry, statistics, and probability, with an emphasis on problem-solving and real-world applications.

The curriculum aligns with California state standards and prepares students for more advanced mathematics courses. The book features clear explanations, worked examples, practice exercises, and interactive activities to engage students and build a deep understanding of mathematical concepts. It is part of the Big Ideas Math series by renowned authors Ron Larson and Laurie Boswell.

目录

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Chapter 1: Integers
What You Learned Before
Section 1.1 Integers and Absolute Value
page029
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Section 1.2 Adding Integers
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Section 1.3 Subtracting Integers
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Study Help/Graphic Organizer
1.1–1.3 Quiz
Section 1.4 Multiplying Integers
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Section 1.5 Dividing Integers
page055
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page058
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1.4–1.5 Quiz
Chapter Review
page062
page063
Chapter Test
Standards Assessment
page066
page067
Chapter 2: Rational Numbers
What You Learned Before
Section 2.1 Rational Numbers
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Section 2.2 Adding Rational Numbers
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Study Help/Graphic Organizer
2.1–2.2 Quiz
Section 2.3 Subtracting Rational Numbers
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Section 2.4 Multiplying and Dividing Rational Numbers
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2.3–2.4 Quiz
Chapter Review
page098
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Chapter Test
Standards Assessment
page102
page103
Chapter 3: Expressions and Equations
What You Learned Before
Section 3.1 Algebraic Expressions
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Section 3.2 Adding and Subtracting Linear Expressions
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Study Help/Graphic Organizer
3.1–3.2 Quiz
Section 3.3 Solving Equations Using Addition or Subtraction
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Section 3.4 Solving Equations Using Multiplication or Division
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Section 3.5 Solving Two-Step Equations
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3.3–3.5 Quiz
Chapter Review
page142
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Chapter Test
Standards Assessment
page146
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Chapter 4: Inequalities
What You Learned Before
Section 4.1 Writing and Graphing Inequalities
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Section 4.2 Solving Inequalities Using Addition or Subtraction
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Study Help/Graphic Organizer
4.1– 4.2 Quiz
Section 4.3 Solving Inequalities Using Multiplication or Division
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Section 4.4 Solving Two-Step Inequalities
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4.3–4.4 Quiz
Chapter Review
page180
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Chapter Test
Standards Assessment
page184
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Chapter 5: Ratios and Proportions
What You Learned Before
Section 5.1 Ratios and Rates
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Section 5.2 Proportions
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Extension: Graphing Proportional Relationships
page197
Section 5.3 Writing Proportions
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Study Help/Graphic Organizer
5.1–5.3 Quiz
Section 5.4 Solving Proportions
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Section 5.5 Slope
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Section 5.6 Direct Variation
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5.4–5.6 Quiz
Chapter Review
page232
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Chapter Test
Standards Assessment
page236
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Chapter 6: Percents
What You Learned Before
Section 6.1 Percents and Decimals
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Section 6.2 Comparing and Ordering Fractions, Decimals, and Percents
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Section 6.3 The Percent Proportion
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Section 6.4 The Percent Equation
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Study Help/Graphic Organizer
6.1 – 6.4 Quiz
Section 6.5 Percents of Increase and Decrease
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Section 6.6 Discounts and Markups
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Section 6.7 Simple Interest
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6.5– 6.7 Quiz
Chapter Review
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Chapter Test
Standards Assessment
page292
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Chapter 7: Constructions and Scale Drawings
What You Learned Before
Section 7.1 Adjacent and Vertical Angles
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Section 7.2 Complementary and Supplementary Angles
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Section 7.3 Triangles
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Extension: Angle Measures of Triangles
page315
Study Help/Graphic Organizer
7.1–7.3 Quiz
Section 7.4 Quadrilaterals
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Section 7.5 Scale Drawings
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7.4–7.5 Quiz
Chapter Review
page334
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Chapter Test
Standards Assessment
page338
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Chapter 8: Circles and Area
What You Learned Before
Section 8.1 Circles and Circumference
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Section 8.2 Perimeters of Composite Figures
page351
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Study Help/Graphic Organizer
8.1–8.2 Quiz
Section 8.3 Areas of Circles
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Section 8.4 Areas of Composite Figures
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8.3 – 8.4 Quiz
Chapter Review
page372
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Chapter Test
Standards Assessment
page376
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Chapter 9: Surface Area and Volume
What You Learned Before
Section 9.1 Surface Areas of Prisms
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Section 9.2 Surface Areas of Pyramids
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Section 9.3 Surface Areas of Cylinders
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Study Help/Graphic Organizer
9.1–9.3 Quiz
Section 9.4 Volumes of Prisms
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Section 9.5 Volumes of Pyramids
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Extension: Cross Sections of Three-Dimensional Figures
page415
9.4–9.5 Quiz
Chapter Review
page418
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Chapter Test
Standards Assessment
page422
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Chapter 10: Probability and Statistics
What You Learned Before
Section 10.1 Outcomes and Events
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Section 10.2 Probability
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Section 10.3 Experimental and Theoretical Probability
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Section 10.4 Compound Events
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Section 10.5 Independent and Dependent Events
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Extension: Simulations
page463
Study Help/Graphic Organizer
10.1–10.5 Quiz
Section 10.6 Samples and Populations
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Extension: Generating Multiple Samples
page473
Section 10.7 Comparing Populations
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10.6–10.7 Quiz
Chapter Review
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Chapter Test
Standards Assessment
page488
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Chapter 11: Transformations
What You Learned Before
Section 11.1 Congruent Figures
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Section 11.2 Translations
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Section 11.3 Reflections
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Section 11.4 Rotations
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Study Help/Graphic Organizer
11.1–11.4 Quiz
Section 11.5 Similar Figures
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Section 11.6 Perimeters and Areas of Similar Figures
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Section 11.7 Dilations
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11.5–11.7 Quiz
Chapter Review
page542
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Chapter Test
Standards Assessment
page548
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Chapter 12: Angles and Triangles
What You Learned Before
Section 12.1 Parallel Lines and Transversals
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Section 12.2 Angles of Triangles
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Study Help/Graphic Organizer
12.1–12.2 Quiz
Section 12.3 Angles of Polygons
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Section 12.4 Using Similar Triangles
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12.3–12.4 Quiz
Chapter Review
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Chapter Test
Standards Assessment
page588
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Chapter 13: Graphing and Writing Linear Equations
What You Learned Before
Section 13.1 Graphing Linear Equations
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Section 13.2 Slope of a Line
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Extension: Slopes of Parallel and Perpendicular Lines
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Section 13.3 Graphing Proportional Relationships
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Study Help/Graphic Organizer
13.1– 13.3 Quiz
Section 13.4 Graphing Linear Equations in Slope-Intercept Form
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Section 13.5 Graphing Linear Equations in Standard Form
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Section 13.6 Writing Equations in Slope-Intercept Form
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Section 13.7 Writing Equations in Point-Slope Form
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13.4–13.7 Quiz
Chapter Review
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Chapter Test
Standards Assessment
page648
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Chapter 14: Real Numbers and the Pythagorean Theorem
What You Learned Before
Section 14.1 Finding Square Roots
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Section 14.2 Finding Cube Roots
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Section 14.3 The Pythagorean Theorem
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Study Help/Graphic Organizer
14.1–14.3 Quiz
Section 14.4 Approximating Square Roots
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Extension: Repeating Decimals
page681
Section 14.5 Using the Pythagorean Theorem
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14.4–14.5 Quiz
Chapter Review
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Chapter Test
Standards Assessment
page694
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Chapter 15: Volume and Similar Solids
What You Learned Before
Section 15.1 Volumes of Cylinders
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Section 15.2 Volumes of Cones
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Study Help/Graphic Organizer
15.1–15.2 Quiz
Section 15.3 Volumes of Spheres
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Section 15.4 Surface Areas and Volumes of Similar Solids
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15.3 – 15.4 Quiz
Chapter Review
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Chapter Test
Standards Assessment
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Chapter 16: Exponents and Scientific Notation
What You Learned Before
Section 16.1 Exponents
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Section 16.2 Product of Powers Property
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Section 16.3 Quotient of Powers Property
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Section 16.4 Zero and Negative Exponents
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Study Help/Graphic Organizer
16.1–16.4 Quiz
Section 16.5 Reading Scientific Notation
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Section 16.6 Writing Scientific Notation
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Section 16.7 Operations in Scientific Notation
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16.5–16.7 Quiz
Chapter Review
page782
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Chapter Test
Standards Assessment
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Additional Topics
Topic 1 Solving Multi-Step Equations
page791
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Topic 2 Solving Equations with Variables on Both Sides
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Topic 3 Rewriting Equations and Formulas
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Appendix A: My Big Ideas Projects
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Selected Answers
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Key Vocabulary Index
Student Index
page871
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Mathematics Reference Sheet
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