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Math 6

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0Grade 5 Foundations Review

Unit Overview 1Place Value, Rounding, and Multiplication 2Whole-Number Division 3Decimal Operations 4Fraction Fundamentals 5Adding and Subtracting Fractions 6Multiplying and Dividing Fractions 7Fraction Applications 8Expressions and Patterns 9Measurement Conversions 10Volume and Unit Cubes 11Putting It All Together 12Unit Summary 13Unit Review

1Basic Problem Solving and Mathematical Modeling

Unit Overview 1Understanding and Organizing a Problem 2Planning with KNOWS and Hidden Questions 3Building Models with Diagrams, Tables, and Equations 4Solving Two-Step Problems 5Solving Three-Step Problems and Choosing the Order 6Working Backward and Interpreting Remainders 7Writing and Evaluating Complete Modeling Responses 8Unit Summary 9Unit Review 10Challenge Zone

2Decimal Operations

Unit Overview 1Adding and Subtracting Decimals 2Adding and Subtracting Decimal Word Problems 3Multiplying Decimals 4Long Division Review 5Dividing by Multi-Digit Divisors 6Dividing Whole Numbers to Get Decimal Quotients 7Dividing Decimals 8Decimal Division Word Problems 9Simple Word Problems 10Multistep Decimal Word Problems 11Unit Summary 12Unit Review 13Challenge Zone

3Factors, Multiples, and Fractions

Unit Overview 1Divisibility Rules 2Factors, Prime Numbers, and Prime Factorization 3Greatest Common Factor 4Least Common Multiple 5Choosing Between GCF and LCM 6Fraction Forms and Simplest Form 7Equivalent Fractions 8Comparing and Ordering Fractions 9Adding and Subtracting Fractions with Like Denominators 10Adding and Subtracting Fractions with Unlike Denominators 11Egyptian FractionsADV 12Multiplying Fractions 13Dividing Fractions 14Choosing a Fraction Operation 15Multistep Problems with Fractions 16Unit Summary 17Unit Review 18Challenge Zone

4Integers and the Coordinate Plane

Unit Overview 1Integers and Real-World Contexts 2Opposites and Additive Inverses 3Rational Numbers on the Number Line 4Absolute Value as Distance 5Comparing and Ordering Rational Numbers 6Graphing Inequalities on a Number Line 7The Coordinate Plane 8Distance and Shapes in the Coordinate Plane 9Unit Summary 10Unit Review 11Challenge Zone

5Introduction to Algebra

Unit Overview 1Adding and Subtracting Integers 2Multiplying and Dividing Integers 3Variables and Algebraic Expressions 4Exponents and Powers 5Order of Operations 6Evaluating Expressions 7Translating Words into Algebra 8Combining Like Terms 9The Distributive Property 10Introduction to Equations 11One-Step Equations 12Two-Step Equations 13Multistep EquationsADV 14Variables on Both SidesADV 15Special EquationsADV 16Equation ApplicationsADV 17Unit Summary 18Unit Review 19Challenge Zone

6Ratios, Rates, and Proportional Reasoning

Unit Overview 1Ratio Language and Models 2Simplifying Ratios 3Finding Parts and Wholes from Ratios 4Equivalent Ratios and Ratio Tables 5Graphs and Equations of Proportional Relationships 6Proportions and Missing Values 7Cross Multiplication 8Solving Ratio and Proportion Word Problems 9Similar Figures and Scale DrawingsADV 10Multi-Part and Linked Ratios 11Rates and Unit Rates 12Speed, Distance, and Time 13Work and Teamwork RatesADV 14Dimensional Analysis and Unit Conversions 15Multistep Proportional ReasoningADV 16Unit Summary 17Unit Review 18Challenge Zone

7Percent

Unit Overview 1The Meaning of Percent 2Fractions, Decimals, and Percents 3Finding a Percent of a Quantity 4Mental Percent Strategies 5Estimating and Comparing Percents 6The Three Types of Percent Problems 7Percent Equations and Proportions 8Discounts, Markups, Tax, and Tip 9Percent Increase and Decrease 10Successive Percent ChangesADV 11Unit Summary 12Unit Review 13Challenge Zone

8Geometry and Measurement

Unit Overview 1Area and Square Units 2Rectangles and Parallelograms 3Area of Triangles 4Area of Trapezoids 5Composite Area 6Area Applications and Cost 7Three-Dimensional Figures 8Nets of Solids 9Surface Area 10Volume and Cubic Units 11Volume of General PrismsADV 12Cube Packing, Volume Ratios, and ScalingADV 13Unit Summary 14Unit Review 15Challenge Zone

9Statistics and Data Analysis

Unit Overview 1Statistical Questions and Data 2Collecting and Organizing Data 3Choosing a Data Display 4Mean as Equal Sharing and Balance 5Median and Mode 6Choosing a Measure of Center 7Range and Mean Absolute Deviation 8Line Plots and Distribution Features 9Shape and Skewness 10Histograms and Grouped Data 11Quartiles and the Five-Number Summary 12Box Plots 13Comparing DistributionsADV 14Statistical Investigations, Sampling, and BiasADV 15Unit Summary 16Unit Review 17Challenge Zone

10Final Cumulative Review

Unit Overview 1Problem Solving Strategies and Representations 2Decimal Operations 3Factors, Multiples, and Fractions 4Integers and the Coordinate Plane 5Algebraic Reasoning 6Ratios, Rates, and Proportions 7Percent 8Geometry and Measurement 9Statistics and Data Analysis 10Fully Mixed Cumulative Review 11Modeling Problems 12Cumulative Challenge Zone

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Home/Unit 6/Multistep Proportional Reasoning

6.15

Unit 6 · Ratios, Rates, and Proportional Reasoning

Multistep Proportional Reasoning

ADV

Standards:6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems.MP.1Make sense of problems and persevere in solving them.

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