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0Grade 5 Foundations Review
Unit Overview1Place Value, Rounding, and Multiplication2Whole-Number Division3Decimal Operations4Fraction Fundamentals5Adding and Subtracting Fractions6Multiplying and Dividing Fractions7Fraction Applications8Expressions and Patterns9Measurement Conversions10Volume and Unit Cubes11Putting It All Together12Unit Summary13Unit Review
1Basic Problem Solving and Mathematical Modeling
Unit Overview1Understanding and Organizing a Problem2Planning with KNOWS and Hidden Questions3Building Models with Diagrams, Tables, and Equations4Solving Two-Step Problems5Solving Three-Step Problems and Choosing the Order6Working Backward and Interpreting Remainders7Writing and Evaluating Complete Modeling Responses8Unit Summary9Unit Review10Challenge Zone
2Decimal Operations
Unit Overview1Adding and Subtracting Decimals2Adding and Subtracting Decimal Word Problems3Multiplying Decimals4Long Division Review5Dividing by Multi-Digit Divisors6Dividing Whole Numbers to Get Decimal Quotients7Dividing Decimals8Decimal Division Word Problems9Simple Word Problems10Multistep Decimal Word Problems11Unit Summary12Unit Review13Challenge Zone
3Factors, Multiples, and Fractions
Unit Overview1Divisibility Rules2Factors, Prime Numbers, and Prime Factorization3Greatest Common Factor4Least Common Multiple5Choosing Between GCF and LCM6Fraction Forms and Simplest Form7Equivalent Fractions8Comparing and Ordering Fractions9Adding and Subtracting Fractions with Like Denominators10Adding and Subtracting Fractions with Unlike Denominators11Egyptian FractionsADV12Multiplying Fractions13Dividing Fractions14Choosing a Fraction Operation15Multistep Problems with Fractions16Unit Summary17Unit Review18Challenge Zone
4Integers and the Coordinate Plane
Unit Overview1Integers and Real-World Contexts2Opposites and Additive Inverses3Rational Numbers on the Number Line4Absolute Value as Distance5Comparing and Ordering Rational Numbers6Graphing Inequalities on a Number Line7The Coordinate Plane8Distance and Shapes in the Coordinate Plane9Unit Summary10Unit Review11Challenge Zone
5Introduction to Algebra
Unit Overview1Adding and Subtracting Integers2Multiplying and Dividing Integers3Variables and Algebraic Expressions4Exponents and Powers5Order of Operations6Evaluating Expressions7Translating Words into Algebra8Combining Like Terms9The Distributive Property10Introduction to Equations11One-Step Equations12Two-Step Equations13Multistep EquationsADV14Variables on Both SidesADV15Special EquationsADV16Equation ApplicationsADV17Unit Summary18Unit Review19Challenge Zone
6Ratios, Rates, and Proportional Reasoning
Unit Overview1Ratio Language and Models2Simplifying Ratios3Finding Parts and Wholes from Ratios4Equivalent Ratios and Ratio Tables5Graphs and Equations of Proportional Relationships6Proportions and Missing Values7Cross Multiplication8Solving Ratio and Proportion Word Problems9Similar Figures and Scale DrawingsADV10Multi-Part and Linked Ratios11Rates and Unit Rates12Speed, Distance, and Time13Work and Teamwork RatesADV14Dimensional Analysis and Unit Conversions15Multistep Proportional ReasoningADV16Unit Summary17Unit Review18Challenge Zone
7Percent
Unit Overview1The Meaning of Percent2Fractions, Decimals, and Percents3Finding a Percent of a Quantity4Mental Percent Strategies5Estimating and Comparing Percents6The Three Types of Percent Problems7Percent Equations and Proportions8Discounts, Markups, Tax, and Tip9Percent Increase and Decrease10Successive Percent ChangesADV11Unit Summary12Unit Review13Challenge Zone
8Geometry and Measurement
Unit Overview1Area and Square Units2Rectangles and Parallelograms3Area of Triangles4Area of Trapezoids5Composite Area6Area Applications and Cost7Three-Dimensional Figures8Nets of Solids9Surface Area10Volume and Cubic Units11Volume of General PrismsADV12Cube Packing, Volume Ratios, and ScalingADV13Unit Summary14Unit Review15Challenge Zone
9Statistics and Data Analysis
Unit Overview1Statistical Questions and Data2Collecting and Organizing Data3Choosing a Data Display4Mean as Equal Sharing and Balance5Median and Mode6Choosing a Measure of Center7Range and Mean Absolute Deviation8Line Plots and Distribution Features9Shape and Skewness10Histograms and Grouped Data11Quartiles and the Five-Number Summary12Box Plots13Comparing DistributionsADV14Statistical Investigations, Sampling, and BiasADV15Unit Summary16Unit Review17Challenge Zone
10Final Cumulative Review
Unit Overview1Problem Solving Strategies and Representations2Decimal Operations3Factors, Multiples, and Fractions4Integers and the Coordinate Plane5Algebraic Reasoning6Ratios, Rates, and Proportions7Percent8Geometry and Measurement9Statistics and Data Analysis10Fully Mixed Cumulative Review11Modeling Problems12Cumulative Challenge Zone
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Home/Unit 1
Unit 1

Basic Problem Solving and Mathematical Modeling

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Unit sequence

All sections

  1. 1.1Understanding and Organizing a Problemlesson→
  2. 1.2Planning with KNOWS and Hidden Questionslesson→
  3. 1.3Building Models with Diagrams, Tables, and Equationslesson→
  4. 1.4Solving Two-Step Problemslesson→
  5. 1.5Solving Three-Step Problems and Choosing the Orderlesson→
  6. 1.6Working Backward and Interpreting Remainderslesson→
  7. 1.7Writing and Evaluating Complete Modeling Responseslesson→
  8. 1.8Unit Summarysummary→
  9. 1.9Unit Reviewreview→
  10. 1.10Challenge Zonechallenge→