Big Ideas Math, Advanced 1, published by Big Ideas Learning LLC, is an accelerated Grade 6 mathematics textbook designed to build a strong foundation in middle school math concepts. The text covers a wide range of topics including numerical expressions and factors, fractions and decimals, ratios and rates, algebraic expressions, equations and inequalities, integers and the coordinate plane, rational numbers, and proportional reasoning with percents. Students also explore geometry through areas of polygons and surface area and volume, as well as data analysis through statistical measures and data displays.

Big Ideas Math, Advanced 1 textbook table of contents

Chapter 1: Numerical Expressions and Factors

Lesson 1: Whole Number OperationsLearn Practice
Lesson 2: Powers and ExponentsLearn Practice
Lesson 3: Order of OperationsLearn Practice
Lesson 4: Prime FactorizationLearn Practice
Lesson 5: Greatest Common FactorLearn Practice
Lesson 6: Least Common MultipleLearn Practice

Chapter 2: Fractions and Decimals

Lesson 1: Multiplying FractionsLearn Practice
Lesson 2: Dividing FractionsLearn Practice
Lesson 3: Dividing Mixed NumbersLearn Practice
Lesson 4: Adding and Subtracting DecimalsLearn Practice
Lesson 5: Multiplying DecimalsLearn Practice
Lesson 6: Dividing DecimalsLearn Practice

Chapter 3: Algebraic Expressions and Properties

Lesson 1: Algebraic ExpressionsLearn Practice
Lesson 2: Writing ExpressionsLearn Practice
Lesson 3: Properties of Addition and MultiplicationLearn Practice
Lesson 4: The Distributive PropertyLearn Practice

Chapter 4: Areas of Polygons

Lesson 1: Areas of ParallelogramsLearn Practice
Lesson 2: Areas of TrianglesLearn Practice
Lesson 3: Areas of TrapezoidsLearn Practice
Lesson 4: Polygons in the Coordinate PlaneLearn Practice

Chapter 5: Ratios and Rates

Lesson 1: RatiosLearn Practice
Lesson 2: Ratio TablesLearn Practice
Lesson 3: RatesLearn Practice
Lesson 4: Comparing and Graphing RatiosLearn Practice
Lesson 5: PercentsLearn Practice
Lesson 6: Solving Percent ProblemsLearn Practice
Lesson 7: Converting MeasuresLearn Practice

Chapter 6: Integers and the Coordinate Plane

Lesson 1: IntegersLearn Practice
Lesson 2: Comparing and Ordering IntegersLearn Practice
Lesson 3: Fractions and Decimals on the Number LineLearn Practice
Lesson 4: Absolute ValueLearn Practice
Lesson 5: The Coordinate PlaneLearn Practice

Chapter 7: Equations and Inequalities

Lesson 1: Writing Equations in One VariableLearn Practice
Lesson 2: Solving Equations Using Addition or SubtractionLearn Practice
Lesson 3: Solving Equations Using Multiplication or DivisionLearn Practice
Lesson 4: Writing Equations in Two VariablesLearn Practice
Lesson 5: Writing and Graphing InequalitiesLearn Practice
Lesson 6: Solving Inequalities Using Addition or SubtractionLearn Practice
Lesson 7: Solving Inequalities Using Multiplication or DivisionLearn Practice

Chapter 8: Surface Area and Volume

Lesson 1: Three-Dimensional FiguresLearn Practice
Lesson 2: Surface Areas of PrismsLearn Practice
Lesson 3: Surface Areas of PyramidsLearn Practice
Lesson 4: Volumes of Rectangular PrismsLearn Practice

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsLearn Practice
Lesson 2: MeanLearn Practice
Lesson 3: Measures of CenterLearn Practice
Lesson 4: Measures of VariationLearn Practice
Lesson 5: Mean Absolute DeviationLearn Practice

Chapter 10: Data Displays

Lesson 1: Stem-and-Leaf PlotsLearn Practice
Lesson 2: HistogramsLearn Practice
Lesson 3: Shapes of DistributionsLearn Practice
Lesson 4: Box-and-Whisker PlotsLearn Practice

Chapter 11: Integers

Lesson 1: Integers and Absolute ValueLearn Practice
Lesson 2: Adding IntegersLearn Practice
Lesson 3: Subtracting IntegersLearn Practice
Lesson 4: Multiplying IntegersLearn Practice
Lesson 5: Dividing IntegersLearn Practice

Chapter 12: Rational Numbers

Lesson 1: Rational NumbersLearn Practice
Lesson 2: Adding Rational NumbersLearn Practice
Lesson 3: Subtracting Rational NumbersLearn Practice
Lesson 4: Multiplying and Dividing Rational NumbersLearn Practice

Chapter 13: Expressions and Equations

Lesson 1: Algebraic ExpressionsLearn Practice
Lesson 2: Adding and Subtracting Linear ExpressionsLearn Practice
Lesson 3: Solving Equations Using Addition or SubtractionLearn Practice
Lesson 4: Solving Equations Using Multiplication or DivisionLearn Practice
Lesson 5: Solving Two-Step EquationsLearn Practice

Chapter 14: Ratios and Proportions

Lesson 1: Ratios and RatesLearn Practice
Lesson 2: ProportionsLearn Practice
Lesson 3: Writing ProportionsLearn Practice
Lesson 4: Solving ProportionsLearn Practice
Lesson 5: SlopeLearn Practice
Lesson 6: Direct VariationLearn Practice

Chapter 15: Percents

Lesson 1: Percents and DecimalsLearn Practice
Lesson 2: Comparing and Ordering Fractions, Decimals, and PercentsLearn Practice
Lesson 3: The Percent ProportionLearn Practice
Lesson 4: The Percent EquationLearn Practice
Lesson 5: Percents of Increase and DecreaseLearn Practice
Lesson 6: Discounts and MarkupsLearn Practice
Lesson 7: Simple InterestLearn Practice

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Big Ideas Math, Advanced 1 — Lessons, Skills & Practice | Pengi