Big Ideas Math, Advanced 2, published by Big Ideas Learning LLC, is an accelerated Grade 7 mathematics textbook designed for students ready to move beyond standard middle school content. The course covers a wide range of topics including equations and inequalities, systems of linear equations, transformations, graphing and writing linear equations, functions, exponents and scientific notation, real numbers and the Pythagorean theorem, geometry concepts such as angles, triangles, circles, area, surface area, and volume, as well as probability, statistics, and data analysis. With its advanced pacing and rigorous problem-solving approach, this text builds the algebraic and geometric foundations students need to succeed in high school mathematics.

Big Ideas Math, Advanced 2 textbook table of contents

Chapter 1: Equations

Section 1.1: Solving Simple EquationsLearn Practice
Section 1.2: Solving Multi-Step EquationsLearn Practice
Section 1.3: Solving Equations with Variables on Both SidesLearn Practice
Lesson 4: Rewriting Equations and FormulasLearn Practice

Chapter 2: Transformations

Section 2.1: Congruent FiguresLearn Practice
Section 2.2: TranslationsLearn Practice
Section 2.3: ReflectionsLearn Practice
Section 2.4: RotationsLearn Practice
Section 2.5: Similar FiguresLearn Practice
Section 2.6: Perimeters and Areas of Similar FiguresLearn Practice
Section 2.7: DilationsLearn Practice

Chapter 3: Angles and Triangles

Section 3.1: Parallel Lines and TransversalsLearn Practice
Section 3.2: Angles of TrianglesLearn Practice
Section 3.3: Angles of PolygonsLearn Practice
Section 3.4: Using Similar TrianglesLearn Practice

Chapter 4: Graphing and Writing Linear Equations

Section 4.1: Graphing Linear EquationsLearn Practice
Section 4.2: Slope of a LineLearn Practice
Section 4.3: Graphing Proportional RelationshipsLearn Practice
Section 4.4: Graphing Linear Equations in Slope-Intercept FormLearn Practice
Section 4.5: Graphing Linear Equations in Standard FormLearn Practice
Section 4.6: Writing Equations in Slope-Intercept FormLearn Practice
Section 4.7: Writing Equations in Point-Slope FormLearn Practice

Chapter 5: Systems of Linear Equations

Section 5.1: Solving Systems of Linear Equations by GraphingLearn Practice
Section 5.2: Solving Systems of Linear Equations by SubstitutionLearn Practice
Section 5.3: Solving Systems of Linear Equations by EliminationLearn Practice
Section 5.4: Solving Special Systems of Linear EquationsLearn Practice

Chapter 6: Functions

Section 6.1: Relations and FunctionsLearn Practice
Section 6.2: Representations of FunctionsLearn Practice
Section 6.3: Linear FunctionsLearn Practice
Lesson 4: Section 6.4: Comparing Linear and Nonlinear FunctionsLearn Practice
Lesson 5: Section 6.5: Analyzing and Sketching GraphsLearn Practice

Chapter 7: Real Numbers and the Pythagorean Theorem

Section 7.1: Finding Square RootsLearn Practice
Section 7.2: Finding Cube RootsLearn Practice
Section 7.3: The Pythagorean TheoremLearn Practice
Section 7.4: Approximating Square RootsLearn Practice
Section 7.5: Using the Pythagorean TheoremLearn Practice

Chapter 8: Volume and Similar Solids

Section 8.1: Volumes of CylindersLearn Practice
Section 8.2: Volumes of ConesLearn Practice
Section 8.3: Volumes of SpheresLearn Practice
Section 8.4: Surface Areas and Volumes of Similar SolidsLearn Practice

Chapter 9: Data Analysis and Displays

Section 9.1: Scatter PlotsLearn Practice
Section 9.2: Lines of FitLearn Practice
Section 9.3: Two-Way TablesLearn Practice
Section 9.4: Choosing a Data DisplayLearn Practice

Chapter 10: Exponents and Scientific Notation

Section 10.1: ExponentsLearn Practice
Section 10.2: Product of Powers PropertyLearn Practice
Section 10.3: Quotient of Powers PropertyLearn Practice
Section 10.4: Zero and Negative ExponentsLearn Practice
Section 10.5: Reading Scientific NotationLearn Practice
Section 10.6: Writing Scientific NotationLearn Practice
Section 10.7: Operations in Scientific NotationLearn Practice

Chapter 11: Inequalities

Section 11.1: Writing and Graphing InequalitiesLearn Practice
Section 11.2: Solving Inequalities Using Addition or SubtractionLearn Practice
Section 11.3: Solving Inequalities Using Multiplication or DivisionLearn Practice
Section 11.4: Solving Two-Step InequalitiesLearn Practice

Chapter 12: Constructions and Scale Drawings

Section 12.1: Adjacent and Vertical AnglesLearn Practice
Section 12.2: Complementary and Supplementary AnglesLearn Practice
Section 12.3: TrianglesLearn Practice
Section 12.4: QuadrilateralsLearn Practice
Section 12.5: Scale DrawingsLearn Practice

Chapter 13: Circles and Area

Section 13.1: Circles and CircumferenceLearn Practice
Section 13.2: Perimeters of Composite FiguresLearn Practice
Section 13.3: Areas of CirclesLearn Practice
Section 13.4: Areas of Composite FiguresLearn Practice

Chapter 14: Surface Area and Volume

Section 14.1: Surface Areas of PrismsLearn Practice
Section 14.2: Surface Areas of PyramidsLearn Practice
Section 14.3: Surface Areas of CylindersLearn Practice
Section 14.4: Volumes of PrismsLearn Practice
Section 14.5: Volumes of PyramidsLearn Practice

Chapter 15: Probability and Statistics

Section 15.1: Outcomes and EventsLearn Practice
Section 15.2: ProbabilityLearn Practice
Section 15.3: Experimental and Theoretical ProbabilityLearn Practice
Section 15.4: Compound EventsLearn Practice
Section 15.5: Independent and Dependent EventsLearn Practice
Section 15.6: Samples and PopulationsLearn Practice
Section 15.7: Comparing PopulationsLearn Practice

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Big Ideas Math, Advanced 2 — Lessons, Skills & Practice | Pengi