Explore Math: DIVE AND HIVE!

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Maker Mania Challenge
Check out the DIVE AND HIVE Activities Below!



​ABOUT the EXPLORE MATH: Dive and Hive Challenge
Explore Math is an inquiry based resource for students to expand their mathematical understanding and skills. Click on a topic below and get started! The 'Dive' challenges students to extend their skill set while the  'Hive' challenges students to apply their knowledge.

DEEP DIVE MATH CHALLENGES
SELECT A CHALLENGE THAT MOST INTERESTS YOU!

3RD GRADE

Topic 1: Understand Multiplication and Division of Whole Numbers
  1. Relate Multiplication and AdditionWorksheet | Answer Key
  2. Multiplication on the Number LineWorksheet | Answer Key
  3. Arrays and PropertiesWorksheet | Answer Key
  4. Division: How Many in Each Group?Worksheet | Answer Key
  5. Division: How Many Equal Groups?Worksheet | Answer Key
  6. PROBLEM SOLVING: Use Appropriate ToolsWorksheet | Answer Key

Topic 2: Multiplication Facts: Use Patterns
  1. 2 and 5 as FactorsWorksheet | Answer Key
  2. 9 as a FactorWorksheet | Answer Key
  3. Apply Properties: Multiply by 0 and 1Worksheet | Answer Key
  4. Multiply by 10Worksheet | Answer Key
  5. Multiplication Facts: 0, 1, 2, 5, 9, and 10Worksheet | Answer Key
  6. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 3: Apply Properties: Multiplication Facts for 3, 4, 6, 7, 8
  1. The Distributive PropertyWorksheet | Answer Key
  2. Apply Properties: 3 and 4 as FactorsWorksheet | Answer Key
  3. Apply Properties: 6 and 7 as FactorsWorksheet | Answer Key
  4. Apply Properties: 8 as a FactorWorksheet | Answer Key
  5. Practice Multiplication FactsWorksheet | Answer Key
  6. The Associative Property: Multiply with 3 FactorsWorksheet | Answer Key
  7. PROBLEM SOLVING: Repeated ReasoningWorksheet | Answer Key

Topic 4: Use Multiplication to Divide: Division Facts
  1. Relate Multiplication and DivisionWorksheet | Answer Key
  2. Use Multiplication to Divide with 2, 3, 4, and 5Worksheet | Answer Key
  3. Use Multiplication to Divide with 6 and 7Worksheet | Answer Key
  4. Use Multiplication to Divide with 8 and 9Worksheet | Answer Key
  5. Multiplication Patterns: Even and Odd NumbersWorksheet | Answer Key
  6. Division Involving 0 and 1Worksheet | Answer Key
  7. Practice Multiplication and Division FactsWorksheet | Answer Key
  8. Solve Multiplication and Division EquationsWorksheet | Answer Key
  9. PROBLEM SOLVING: Make Sense and PersevereWorksheet | Answer Key

Topic 5: Fluently Multiply and Divide within 100
  1. Patterns for Multiplication FactsWorksheet | Answer Key
  2. Use a Table to Multiply and DivideWorksheet | Answer Key
  3. Use Strategies to MultiplyWorksheet | Answer Key
  4. Solve Word Problems: Multiplication and Division FactsWorksheet | Answer Key
  5. Write Multiplication and Division Math StoriesWorksheet | Answer Key
  6. PROBLEM SOLVING: Look For and Use StructureWorksheet | Answer Key

Topic 6: Connect Area to Multiplication and Addition
  1. Cover RegionsWorksheet | Answer Key
  2. Area: Nonstandard UnitsWorksheet | Answer Key
  3. Area: Standard UnitsWorksheet | Answer Key
  4. Area of Squares and RectanglesWorksheet | Answer Key
  5. Apply Properties: Area and the Distributive PropertyWorksheet | Answer Key
  6. Apply Properties: Area of Irregular ShapesWorksheet | Answer Key
  7. PROBLEM SOLVING: Look For and Use StructureWorksheet | Answer Key

Topic 7: Represent and Interpret Data
  1. Read Picture Graphs and Bar GraphsWorksheet | Answer Key
  2. Make Picture GraphsWorksheet | Answer Key
  3. Make Bar GraphsWorksheet | Answer Key
  4. Solve Word Problems Using Information in GraphsWorksheet | Answer Key
  5. PROBLEM SOLVING: PrecisionWorksheet | Answer Key

Topic 8: Use Strategies and Properties to Add and Subtract
  1. Addition PropertiesWorksheet | Answer Key
  2. Algebra: Addition PatternsWorksheet | Answer Key
  3. Mental Math: AdditionWorksheet | Answer Key
  4. Mental Math: SubtractionWorksheet | Answer Key
  5. Round Whole NumbersWorksheet | Answer Key
  6. Estimate SumsWorksheet | Answer Key
  7. Estimate DifferencesWorksheet | Answer Key
  8. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 9: Fluently Add and Subtract within 1,000
  1. Use Partial Sums to AddWorksheet | Answer Key
  2. Use Regrouping to AddWorksheet | Answer Key
  3. Add 3 or More NumbersWorksheet | Answer Key
  4. Use Partial Differences to SubtractWorksheet | Answer Key
  5. Use Regrouping to SubtractWorksheet | Answer Key
  6. Use Strategies to Add and SubtractWorksheet | Answer Key
  7. PROBLEM SOLVING: Construct ArgumentsWorksheet | Answer Key

Topic 10: Multiply by Multiples of 10
  1. Use Patterns to MultiplyWorksheet | Answer Key
  2. Use Mental Math to MultiplyWorksheet | Answer Key
  3. Use Properties to MultiplyWorksheet | Answer Key
  4. PROBLEM SOLVING: Look For and Use StructureWorksheet | Answer Key

Topic 11: Use Operations with Whole Numbers to Solve Problems
  1. Solve 2-Step Word Problems: Addition and SubtractionWorksheet | Answer Key
  2. Solve 2-Step Word Problems: Multiplication and DivisionWorksheet | Answer Key
  3. Solve 2-Step Word Problems: All OperationsWorksheet | Answer Key
  4. PROBLEM SOLVING: Critique ReasoningWorksheet | Answer Key

Topic 12: Understand Fractions as Numbers
  1. Partition Regions into Equal PartsWorksheet | Answer Key
  2. Fractions and RegionsWorksheet | Answer Key
  3. Understand the WholeWorksheet | Answer Key
  4. Number Line: Fractions Less Than 1Worksheet | Answer Key
  5. Number Line: Fractions Greater Than 1Worksheet | Answer Key
  6. Line Plots and LengthWorksheet | Answer Key
  7. More Line Plots and LengthWorksheet | Answer Key
  8. PROBLEM SOLVING: Make Sense and PersevereWorksheet | Answer Key

Topic 13: Fraction Equivalence and Comparison
  1. Equivalent Fractions: Use ModelsWorksheet | Answer Key
  2. Equivalent Fractions: Use the Number LineWorksheet | Answer Key
  3. Use Models to Compare Fractions: Same DenominatorWorksheet | Answer Key
  4. Use Models to Compare Fractions: Same NumeratorWorksheet | Answer Key
  5. Compare Fractions: Use BenchmarksWorksheet | Answer Key
  6. Compare Fractions: Use the Number LineWorksheet | Answer Key
  7. Whole Numbers and FractionsWorksheet | Answer Key
  8. PROBLEM SOLVING: Construct ArgumentsWorksheet | Answer Key

Topic 14: Solve Time, Capacity, and Mass Problems
  1. Time to the MinuteWorksheet | Answer Key
  2. Units of Time: Measure Elapsed TimeWorksheet | Answer Key
  3. Units of Time: Solve Word ProblemsWorksheet | Answer Key
  4. Estimate Liquid VolumeWorksheet | Answer Key
  5. Measure Liquid VolumeWorksheet | Answer Key
  6. Estimate MassWorksheet | Answer Key
  7. Measure MassWorksheet | Answer Key
  8. Solve Word Problems Involving Mass and Liquid VolumeWorksheet | Answer Key
  9. PROBLEM SOLVING: ReasoningWorksheet | Answer Key

Topic 15: Attributes of Two-Dimensional Shapes
  1. Describe QuadrilateralsWorksheet | Answer Key
  2. Classify ShapesWorksheet | Answer Key
  3. Analyze and Compare QuadrilateralsWorksheet | Answer Key
  4. PROBLEM SOLVING: PrecisionWorksheet | Answer Key

Topic 16: Solve Perimeter Problems
  1. Understand PerimeterWorksheet | Answer Key
  2. Perimeter of Common ShapesWorksheet | Answer Key
  3. Perimeter and Unknown Side LengthsWorksheet | Answer Key
  4. Same Perimeter, Different AreaWorksheet | Answer Key
  5. Same Area, Different PerimeterWorksheet | Answer Key
  6. PROBLEM SOLVING: ReasoningWorksheet | Answer Key​

4TH GRADE

Topic 1: Generalize Place Value Understanding
  1. Numbers Through One MillionWorksheet | Answer Key
  2. Place Value RelationshipsWorksheet | Answer Key
  3. Compare Whole NumbersWorksheet | Answer Key
  4. Round Whole NumbersWorksheet | Answer Key
  5. PROBLEM SOLVING: Construct ArgumentsWorksheet | Answer Key

Topic 2: Fluently Add and Subtract Multi-Digit Whole Numbers
  1. Finding Sums and Differences with Mental MathWorksheet | Answer Key
  2. Estimate Sums and DifferencesWorksheet | Answer Key
  3. Add Whole NumbersWorksheet | Answer Key
  4. Add Greater NumbersWorksheet | Answer Key
  5. Subtract Whole NumbersWorksheet | Answer Key
  6. Subtract Greater NumbersWorksheet | Answer Key
  7. Subtract Across ZerosWorksheet | Answer Key
  8. PROBLEM SOLVING: ReasoningWorksheet | Answer Key

Topic 3: Use Strategies and Properties to Multiply by 1-Digit Numbers
  1. Multiply by Multiples of 10, 100, and 1,000Worksheet | Answer Key
  2. Estimate ProductsWorksheet | Answer Key
  3. Use Arrays and Partial Products to MultiplyWorksheet | Answer Key
  4. Use Area Models and Partial Products to MultiplyWorksheet | Answer Key
  5. More Use Area Models and Partial Products to MultiplyWorksheet | Answer Key
  6. Mental Math Strategies for MultiplicationWorksheet | Answer Key
  7. Choose a Strategy to MultiplyWorksheet | Answer Key
  8. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 4: Use Strategies and Properties to Multiply by 2-Digit Numbers
  1. Multiply Multiples of 10Worksheet | Answer Key
  2. Use Models to Multiply 2-Digit Numbers by Multiples of 10Worksheet | Answer Key
  3. Estimate: Use Rounding or Compatible NumbersWorksheet | Answer Key
  4. Arrays and Partial ProductsWorksheet | Answer Key
  5. Area Models and Partial ProductsWorksheet | Answer Key
  6. Use Partial Products to Multiply by 2-Digit NumbersWorksheet | Answer Key
  7. PROBLEM SOLVING: Make Sense and PersevereWorksheet | Answer Key

Topic 5: Use Strategies and Properties to Divide by 1-Digit Numbers
  1. Mental Math: Find QuotientsWorksheet | Answer Key
  2. Mental Math: Estimate QuotientsWorksheet | Answer Key
  3. Mental Math: Estimate Quotients for Greater DividendsWorksheet | Answer Key
  4. Interpret RemaindersWorksheet | Answer Key
  5. Use Partial Quotients to DivideWorksheet | Answer Key
  6. Use Partial Quotients to Divide: Greater DividendsWorksheet | Answer Key
  7. Use Sharing to DivideWorksheet | Answer Key
  8. Continue Sharing to DivideWorksheet | Answer Key
  9. Choose a Strategy to DivideWorksheet | Answer Key
  10. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 6: Use Operations with Whole Numbers to Solve Problems
  1. Solve Comparison ProblemsWorksheet | Answer Key
  2. Continue to Solve Comparison ProblemsWorksheet | Answer Key
  3. Model Multi-Step ProblemsWorksheet | Answer Key
  4. More Model Multi-Step ProblemsWorksheet | Answer Key
  5. Solve Multi-Step ProblemsWorksheet | Answer Key
  6. PROBLEM SOLVING: Make Sense and PersevereWorksheet | Answer Key

Topic 7: Factors and Multiples
  1. Understand FactorsWorksheet | Answer Key
  2. FactorsWorksheet | Answer Key
  3. PROBLEM SOLVING: Repeated ReasoningWorksheet | Answer Key
  4. Prime and Composite NumbersWorksheet | Answer Key
  5. MultiplesWorksheet | Answer Key

Topic 8: Extend Understanding of Fraction Equivalence and Ordering
  1. Equivalent Fractions: Area ModelsWorksheet | Answer Key
  2. Equivalent Fractions: Number LinesWorksheet | Answer Key
  3. Generate Equivalent Fractions: MultiplicationWorksheet | Answer Key
  4. Generate Equivalent Fractions: DivisionWorksheet | Answer Key
  5. Use Benchmarks to Compare FractionsWorksheet | Answer Key
  6. Compare FractionsWorksheet | Answer Key
  7. PROBLEM SOLVING: Construct ArgumentsWorksheet | Answer Key

Topic 9: Understand Addition and Subtraction of Fractions
  1. Model Addition of FractionsWorksheet | Answer Key
  2. Decompose FractionsWorksheet | Answer Key
  3. Add Fractions with Like DenominatorsWorksheet | Answer Key
  4. Model Subtraction of FractionsWorksheet | Answer Key
  5. Subtract Fractions with Like DenominatorsWorksheet | Answer Key
  6. Add and Subtract Fractions with Like DenominatorsWorksheet | Answer Key
  7. Model Addition and Subtraction of Mixed NumbersWorksheet | Answer Key
  8. Add Mixed NumbersWorksheet | Answer Key
  9. Subtract Mixed NumbersWorksheet | Answer Key
  10. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 10: Extend Multiplication Concepts to Fractions
  1. Fractions as Multiples of Unit FractionsWorksheet | Answer Key
  2. Multiply a Fraction by a Whole Number: Use ModelsWorksheet | Answer Key
  3. Multiply a Fraction by a Whole Number: Use SymbolsWorksheet | Answer Key
  4. Solve Time ProblemsWorksheet | Answer Key
  5. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 11: Represent and Interpret Data on Line Plots
  1. Read Line PlotsWorksheet | Answer Key
  2. Make Line PlotsWorksheet | Answer Key
  3. Use Line Plots to Solve ProblemsWorksheet | Answer Key
  4. PROBLEM SOLVING: Critique ReasoningWorksheet | Answer Key

Topic 12: Understand and Compare Decimals
  1. Fractions and DecimalsWorksheet | Answer Key
  2. Fractions and Decimals on the Number LineWorksheet | Answer Key
  3. Compare DecimalsWorksheet | Answer Key
  4. Add Fractions with Denominators of 10 and 100Worksheet | Answer Key
  5. Solve Word Problems Involving MoneyWorksheet | Answer Key
  6. PROBLEM SOLVING: Look For and Use StructureWorksheet | Answer Key

Topic 13: Measurement: Find Equivalence in Units of Measure
  1. Equivalence with Customary Units of LengthWorksheet | Answer Key
  2. Equivalence with Customary Units of CapacityWorksheet | Answer Key
  3. Equivalence with Customary Units of WeightWorksheet | Answer Key
  4. Equivalence with Metric Units of LengthWorksheet | Answer Key
  5. Equivalence with Metric Units of Capacity and MassWorksheet | Answer Key
  6. Solve Perimeter and Area ProblemsWorksheet | Answer Key
  7. PROBLEM SOLVING: PrecisionWorksheet | Answer Key

Topic 14: Algebra: Generate and Analyze Patterns
  1. Number SequencesWorksheet | Answer Key
  2. Patterns: Number RulesWorksheet | Answer Key
  3. Patterns: Repeating ShapesWorksheet | Answer Key
  4. PROBLEM SOLVING: Look For and Use StructureWorksheet | Answer Key

Topic 15: Geometric Measurement: Understand Concepts of Angles and Angle Measurement
  1. Lines, Rays, and AnglesWorksheet | Answer Key
  2. Understand Angles and Unit AnglesWorksheet | Answer Key
  3. Measure with Unit AnglesWorksheet | Answer Key
  4. Measure and Draw AnglesWorksheet | Answer Key
  5. Add and Subtract Angle MeasuresWorksheet | Answer Key
  6. PROBLEM SOLVING: Use Appropriate ToolsWorksheet | Answer Key

Topic 16: Lines, Angles, and Shapes
  1. LinesWorksheet | Answer Key
  2. Classify TrianglesWorksheet | Answer Key
  3. Classify QuadrilateralsWorksheet | Answer Key
  4. Line SymmetryWorksheet | Answer Key
  5. Draw Shapes with Line SymmetryWorksheet | Answer Key
  6. PROBLEM SOLVING: Critique ReasoningWorksheet | Answer Key​

5TH GRADE

Topic 1: Understand Place Value
  1. Patterns with Exponents and Powers of 10Worksheet | Answer Key
  2. Understand Whole-Number Place ValueWorksheet | Answer Key
  3. Decimals to ThousandthsWorksheet | Answer Key
  4. Understand Decimal Place ValueWorksheet | Answer Key
  5. Compare DecimalsWorksheet | Answer Key
  6. Round DecimalsWorksheet | Answer Key
  7. PROBLEM SOLVING: Look For and Use StructureWorksheet | Answer Key

Topic 2: Use Models and Strategies to Add and Subtract Decimals
  1. Mental MathWorksheet | Answer Key
  2. Estimate Sums and Differences of DecimalsWorksheet | Answer Key
  3. Use Models to Add and Subtract DecimalsWorksheet | Answer Key
  4. Use Strategies to Add DecimalsWorksheet | Answer Key
  5. Use Strategies to Subtract DecimalsWorksheet | Answer Key
  6. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 3: Fluently Multiply Multi-Digit Whole Numbers
  1. Multiply Greater Numbers by Powers of 10Worksheet | Answer Key
  2. Estimate ProductsWorksheet | Answer Key
  3. Multiply by 1-Digit NumbersWorksheet | Answer Key
  4. Multiply 2-Digit by 2-Digit NumbersWorksheet | Answer Key
  5. Multiply 3-Digit by 2-Digit NumbersWorksheet | Answer Key
  6. Multiply Whole Numbers with ZerosWorksheet | Answer Key
  7. Practice Multiplying Multi-Digit NumbersWorksheet | Answer Key
  8. Solve Word Problems Using MultiplicationWorksheet | Answer Key
  9. PROBLEM SOLVING: Critique ReasoningWorksheet | Answer Key

Topic 4: Use Models and Strategies to Multiply Decimals
  1. Multiply Decimals by Powers of 10Worksheet | Answer Key
  2. Estimate the Product of a Decimal and a Whole NumberWorksheet | Answer Key
  3. Use Models to Multiply a Decimal and a Whole NumberWorksheet | Answer Key
  4. Multiply a Decimal by a Whole NumberWorksheet | Answer Key
  5. Use Models to Multiply a Decimal and a DecimalWorksheet | Answer Key
  6. Multiply Decimals Using Partial ProductsWorksheet | Answer Key
  7. Use Properties to Multiply DecimalsWorksheet | Answer Key
  8. Use Number Sense to Multiply DecimalsWorksheet | Answer Key
  9. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 5: Use Models and Strategies to Divide Whole Numbers
  1. Use Patterns and Mental Math to DivideWorksheet | Answer Key
  2. Estimate Quotients with 2-Digit DivisorsWorksheet | Answer Key
  3. Use Models and Properties to Divide with 2-Digit DivisorsWorksheet | Answer Key
  4. Use Partial Quotients to DivideWorksheet | Answer Key
  5. Use Sharing to DIvide: 2-Digit DivisorsWorksheet | Answer Key
  6. Use Sharing to Divide: Greater DividendsWorksheet | Answer Key
  7. Choose a Strategy to DivideWorksheet | Answer Key
  8. PROBLEM SOLVING: Make Sense and PersevereWorksheet | Answer Key

Topic 6: Use Models and Strategies to Divide Decimals
  1. Patterns for Dividing with DecimalsWorksheet | Answer Key
  2. Estimate Decimal QuotientsWorksheet | Answer Key
  3. Use Models to Divide by a 1-Digit Whole NumberWorksheet | Answer Key
  4. Divide by a 2-Digit Whole NumberWorksheet | Answer Key
  5. Divide by a DecimalWorksheet | Answer Key
  6. PROBLEM SOLVING: ReasoningWorksheet | Answer Key

Topic 7: Use Equivalent Fractions to Add and Subtract Fractions
  1. Estimate Sums and Differences of FractionsWorksheet | Answer Key
  2. Find Common DenominatorsWorksheet | Answer Key
  3. Add Fractions with Unlike DenominatorsWorksheet | Answer Key
  4. Subtract Fractions with Unlike DenominatorsWorksheet | Answer Key
  5. Add and Subtract FractionsWorksheet | Answer Key
  6. Estimate Sums and Differences of Mixed NumbersWorksheet | Answer Key
  7. Use Models to Add Mixed NumbersWorksheet | Answer Key
  8. Add Mixed NumbersWorksheet | Answer Key
  9. Use Models to Subtract Mixed NumbersWorksheet | Answer Key
  10. Subtract Mixed NumbersWorksheet | Answer Key
  11. Add and Subtract Mixed NumbersWorksheet | Answer Key
  12. PROBLEM SOLVING: Model with MathWorksheet | Answer Key

Topic 8: Apply Understanding of Multiplication to Multiply Fractions
  1. Multiply a Fraction by a Whole NumberWorksheet | Answer Key
  2. Multiply a Whole Number by a FractionWorksheet | Answer Key
  3. Multiply Fractions and Whole NumbersWorksheet | Answer Key
  4. Use Models to Multiply Two FractionsWorksheet | Answer Key
  5. Multiply Two FractionsWorksheet | Answer Key
  6. Area of a RectangleWorksheet | Answer Key
  7. Multiply Mixed NumbersWorksheet | Answer Key
  8. Multiplication as ScalingWorksheet | Answer Key
  9. PROBLEM SOLVING: Make Sense and PersevereWorksheet | Answer Key

Topic 9: Apply Understanding of Division to Divide Fractions
  1. Fractions and DivisionWorksheet | Answer Key
  2. Fractions and Mixed Numbers as QuotientsWorksheet | Answer Key
  3. Use Multiplication to DivideWorksheet | Answer Key
  4. Divide Whole Numbers by Unit FractionsWorksheet | Answer Key
  5. Divide Unit Fractions by Non-Zero Whole NumbersWorksheet | Answer Key
  6. Divide Whole Numbers and Unit FractionsWorksheet | Answer Key
  7. Solve Problems Using DivisionWorksheet | Answer Key
  8. PROBLEM SOLVING: Repeated ReasoningWorksheet | Answer Key

Topic 10: Represent and Interpret Data
  1. Analyze Line PlotsWorksheet | Answer Key
  2. Make Line PlotsWorksheet | Answer Key
  3. Solve Word Problems Using Measurement DataWorksheet | Answer Key
  4. PROBLEM SOLVING: Critique ReasoningWorksheet | Answer Key

Topic 11: Understand Volume Concepts
  1. Model VolumeWorksheet | Answer Key
  2. Develop a Volume FormulaWorksheet | Answer Key
  3. Combine Volumes of PrismsWorksheet | Answer Key
  4. Solve Word Problems Using VolumeWorksheet | Answer Key
  5. PROBLEM SOLVING: Use Appropriate ToolsWorksheet | Answer Key

Topic 12: Convert Measurements
  1. Convert Customary Units of LengthWorksheet | Answer Key
  2. Convert Customary Units of CapacityWorksheet | Answer Key
  3. Convert Customary Units of WeightWorksheet | Answer Key
  4. Convert Metric Units of LengthWorksheet | Answer Key
  5. Convert Metric Units of CapacityWorksheet | Answer Key
  6. Convert Metric Units of MassWorksheet | Answer Key
  7. Convert Units of TimeWorksheet | Answer Key
  8. Solve Word Problems Using Measurement ConversionsWorksheet | Answer Key
  9. PROBLEM SOLVING: PrecisionWorksheet | Answer Key

Topic 13: Write and Interpret Numerical Expressions
  1. Evaluate ExpressionsWorksheet | Answer Key
  2. Write Numerical ExpressionsWorksheet | Answer Key
  3. Interpret Numerical ExpressionsWorksheet | Answer Key
  4. PROBLEM SOLVING: ReasoningWorksheet | Answer Key

Topic 14: Graph Points on the Coordinate Plane
  1. The Coordinate SystemWorksheet | Answer Key
  2. Graph Data Using Ordered PairsWorksheet | Answer Key
  3. Solve Problems Using Ordered PairsWorksheet | Answer Key
  4. PROBLEM SOLVING: ReasoningWorksheet | Answer Key

Topic 15: Algebra: Analyze Patterns and Relationships
  1. Numerical PatternsWorksheet | Answer Key
  2. More Numerical PatternsWorksheet | Answer Key
  3. Analyze and Graph RelationshipsWorksheet | Answer Key
  4. PROBLEM SOLVING: Make Sense and PersevereWorksheet | Answer Key

Topic 16: Geometric Measurement: Classify Two-Dimensional Figures
  1. Classify TrianglesWorksheet | Answer Key
  2. Classify QuadrilateralsWorksheet | Answer Key
  3. Continue to Classify QuadrilateralsWorksheet | Answer Key
  4. PROBLEM SOLVING: Construct ArgumentsWorksheet | Answer Key

6TH GRADE

Topic 1: Use Positive Rational Numbers
  1. Fluently Add, Subtract, and Multiply DecimalsWorksheet | Answer Key
  2. Fluently Divide Whole Numbers and DecimalsWorksheet | Answer Key
  3. Multiply FractionsWorksheet | Answer Key
  4. Understand Division with FractionsWorksheet | Answer Key
  5. Divide Fractions by FractionsWorksheet | Answer Key
  6. Divide Mixed NumbersWorksheet | Answer Key
  7. Solve Problems with Rational NumbersWorksheet | Answer Key

Topic 2: Integers and Rational Numbers
  1. Understand IntegersWorksheet | Answer Key
  2. Represent Rational Numbers on the Number LineWorksheet | Answer Key
  3. Absolute Values of Rational NumbersWorksheet | Answer Key
  4. Represent Rational Numbers on the Coordinate PlaneWorksheet | Answer Key
  5. Find Distances on the Coordinate PlaneWorksheet | Answer Key
  6. Represent Polygons on the Coordinate PlaneWorksheet | Answer Key

Topic 3: Numeric and Algebraic Expressions
  1. Understand and Represent ExponentsWorksheet | Answer Key
  2. Find Greatest Common Factor and Least Common MultipleWorksheet | Answer Key
  3. Write and Evaluate Numerical ExpressionsWorksheet | Answer Key
  4. Write Algebraic ExpressionsWorksheet | Answer Key
  5. Evaluate Algebraic ExpressionsWorksheet | Answer Key
  6. Generate Equivalent ExpressionsWorksheet | Answer Key
  7. Simplify Algebraic ExpressionsWorksheet | Answer Key

Topic 4: Represent and Solve Equations and Inequalities
  1. Understand Equations and SolutionsWorksheet | Answer Key
  2. Apply Properties of EqualityWorksheet | Answer Key
  3. Write and Solve Addition and Subtraction EquationsWorksheet | Answer Key
  4. Write and Solve Multiplication and Division EquationsWorksheet | Answer Key
  5. Write and Solve Equations with Rational NumbersWorksheet | Answer Key
  6. Understand and Write InequalitiesWorksheet | Answer Key
  7. Solve InequalitiesWorksheet | Answer Key
  8. Understand Dependent and Independent VariablesWorksheet | Answer Key
  9. Use Patterns to Write and Solve EquationsWorksheet | Answer Key
  10. Relate Tables, Graphs, and EquationsWorksheet | Answer Key

Topic 5: Understand and Use Ratio and Rate
  1. Understand RatiosWorksheet | Answer Key
  2. Generate Equivalent RatiosWorksheet | Answer Key
  3. Compare RatiosWorksheet | Answer Key
  4. Represent and Graph RatiosWorksheet | Answer Key
  5. Understand Rates and Unit RatesWorksheet | Answer Key
  6. Compare Unit RatesWorksheet | Answer Key
  7. Solve Unit Rate ProblemsWorksheet | Answer Key
  8. Ratio Reasoning: Convert Customary UnitsWorksheet | Answer Key
  9. Ratio Reasoning: Convert Metric UnitsWorksheet | Answer Key
  10. Relate Customary and Metric UnitsWorksheet | Answer Key

Topic 6: Understand and Use Percent
  1. Understand PercentWorksheet | Answer Key
  2. Relate Fractions, Decimals, and PercentsWorksheet | Answer Key
  3. Represent Percents Greater Than 100 or Less Than 1Worksheet | Answer Key
  4. Estimate to Find PercentWorksheet | Answer Key
  5. Find the Percent of a NumberWorksheet | Answer Key
  6. Find the Whole Given a Part and the PercentWorksheet | Answer Key

Topic 7: Solve Area, Surface Area, and Volume Problems
  1. Find Areas of Parallelograms and RhombusesWorksheet | Answer Key
  2. Solve Triangle Area ProblemsWorksheet | Answer Key
  3. Find Areas of Trapezoids and KitesWorksheet | Answer Key
  4. Find Areas of PolygonsWorksheet | Answer Key
  5. Represent Solid Figures Using NetsWorksheet | Answer Key
  6. Find Surface Areas of PrismsWorksheet | Answer Key
  7. Find Surface Areas of PyramidsWorksheet | Answer Key
  8. Find Volume with Fractional Edge LengthsWorksheet | Answer Key

Topic 8: Display, Describe, and Summarize Data
  1. Recognize Statistical QuestionsWorksheet | Answer Key
  2. Summarize Data Using Mean, Median, Mode, and RangeWorksheet | Answer Key
  3. Display Data in Box PlotsWorksheet | Answer Key
  4. Display Data in Frequency Tables and HistogramsWorksheet | Answer Key
  5. Summarize Data Using Measures of VariabilityWorksheet | Answer Key
  6. Choose Appropriate Statistical MeasuresWorksheet | Answer Key
  7. Summarize Data DistributionsWorksheet | Answer Key​

7TH GRADE

Topic 1: Rational Number Operations
  1. Relate Integers and Their OppositesWorksheet | Answer Key
  2. Understand Rational NumbersWorksheet | Answer Key
  3. Add IntegersWorksheet | Answer Key
  4. Subtract IntegersWorksheet | Answer Key
  5. Add and Subtract Rational NumbersWorksheet | Answer Key
  6. Multiply IntegersWorksheet | Answer Key
  7. Multiply Rational NumbersWorksheet | Answer Key
  8. Divide IntegersWorksheet | Answer Key
  9. Divide Rational NumbersWorksheet | Answer Key
  10. Solve Problems with Rational NumbersWorksheet | Answer Key

Topic 2: Analyze and Use Proportional Relationships
  1. Connect Ratios, Rates, and Unit RatesWorksheet | Answer Key
  2. Identify Unit Rates from Ratios of FractionsWorksheet | Answer Key
  3. Understand Proportional Relationships: Equivalent RatiosWorksheet | Answer Key
  4. Describe Proportional Relationships: Constant of ProportionalityWorksheet | Answer Key
  5. Graph Proportional RelationshipsWorksheet | Answer Key
  6. Apply Proportional Reasoning to Solve ProblemsWorksheet | Answer Key

Topic 3: Analyze and Solve Percent Problems
  1. Analyze Percents of NumbersWorksheet | Answer Key
  2. Connect Percent and ProportionWorksheet | Answer Key
  3. Represent and Use the Percent EquationWorksheet | Answer Key
  4. Solve Percent Change and Percent Error ProblemsWorksheet | Answer Key
  5. Solve Markup and Markdown ProblemsWorksheet | Answer Key
  6. Solve Simple Interest ProblemsWorksheet | Answer Key

Topic 4: Generate Equivalent Expressions
  1. Write and Evaluate Algebraic ExpressionsWorksheet | Answer Key
  2. Generate Equivalent ExpressionsWorksheet | Answer Key
  3. Simplify ExpressionsWorksheet | Answer Key
  4. Expand ExpressionsWorksheet | Answer Key
  5. Factor ExpressionsWorksheet | Answer Key
  6. Add ExpressionsWorksheet | Answer Key
  7. Subtract ExpressionsWorksheet | Answer Key
  8. Analyze Equivalent ExpressionsWorksheet | Answer Key

Topic 5: Solve Problems Using Equations and Inequalities
  1. Write Two-Step EquationsWorksheet | Answer Key
  2. Solve Two-Step EquationsWorksheet | Answer Key
  3. Solve Equations Using the Distributive PropertyWorksheet | Answer Key
  4. Solve Inequalities Using Addition or SubtractionWorksheet | Answer Key
  5. Solve Inequalities Using Multiplication or DivisionWorksheet | Answer Key
  6. Solve Two-Step InequalitiesWorksheet | Answer Key
  7. Solve Multi-Step InequalitiesWorksheet | Answer Key

Topic 6: Use Sampling to Draw Inferences About Populations
  1. Populations and SamplesWorksheet | Answer Key
  2. Draw Inferences from DataWorksheet | Answer Key
  3. Make Comparative Inferences About PopulationsWorksheet | Answer Key
  4. Make More Comparative Inferences About PopulationsWorksheet | Answer Key

Topic 7: Probability
  1. Understand Likelihood and ProbabilityWorksheet | Answer Key
  2. Understand Theoretical ProbabilityWorksheet | Answer Key
  3. Understand Experimental ProbabilityWorksheet | Answer Key
  4. Use Probability ModelsWorksheet | Answer Key
  5. Determine Outcomes of Compound EventsWorksheet | Answer Key
  6. Find Probabilities of Compound EventsWorksheet | Answer Key
  7. Simulate Compound EventsWorksheet | Answer Key

Topic 8: Solve Problems Involving Geometry
  1. Solve Problems Involving Scale DrawingsWorksheet | Answer Key
  2. Draw Geometric FiguresWorksheet | Answer Key
  3. Draw Triangle with Given ConditionsWorksheet | Answer Key
  4. Solve Problems Using Angle RelationshipsWorksheet | Answer Key
  5. Solve Problems Involving Circumference of a CircleWorksheet | Answer Key
  6. Solve Problems Involving Area of a CircleWorksheet | Answer Key
  7. Describe Cross SectionsWorksheet | Answer Key
  8. Solve Problems Involving Surface AreaWorksheet | Answer Key
  9. Solve Problems Involving VolumeWorksheet | Answer Key

8TH GRADE

Topic 1: Real Numbers
  1. Rational Numbers as DecimalsWorksheet | Answer Key
  2. Understand Irrational NumbersWorksheet | Answer Key
  3. Compare and Order Real NumbersWorksheet | Answer Key
  4. Evaluate Square Roots and Cube RootsWorksheet | Answer Key
  5. Solve Equations Using Square Roots and Cube RootsWorksheet | Answer Key
  6. Use Properties of Integer ExponentsWorksheet | Answer Key
  7. More Properties of ExponentsWorksheet | Answer Key
  8. Use Powers of 10 to Estimate QuantitiesWorksheet | Answer Key
  9. Understand Scientific NotationWorksheet | Answer Key
  10. Operations with Numbers in Scientific NotationWorksheet | Answer Key

Topic 2: Analyze and Solve Linear Equations
  1. Collect Like Terms to Solve EquationsWorksheet | Answer Key
  2. Solve Equations with Variables on Both SidesWorksheet | Answer Key
  3. Solve Multi-Step EquationsWorksheet | Answer Key
  4. Equations With No Solutions or Infinitely Many SolutionsWorksheet | Answer Key
  5. Compare Proportional RelationshipsWorksheet | Answer Key
  6. Connect Proportional Relationships and SlopeWorksheet | Answer Key
  7. Analyze Linear Equations: y = mxWorksheet | Answer Key
  8. Understand the y-Intercept of a LineWorksheet | Answer Key
  9. Linear Equations: y = mx + bWorksheet | Answer Key

Topic 3: Use Functions to Model Relationships
  1. Understand Relations and FunctionsWorksheet | Answer Key
  2. Connect Representations of FunctionsWorksheet | Answer Key
  3. Compare Linear and Nonlinear FunctionsWorksheet | Answer Key
  4. Construct Functions to Model Linear RelationshipsWorksheet | Answer Key
  5. Intervals of Increase and DecreaseWorksheet | Answer Key
  6. Sketch Functions From Verbal DescriptionsWorksheet | Answer Key

Topic 4: Investigate Bivariate Data
  1. Construct and Interpret Scatter PlotsWorksheet | Answer Key
  2. Analyze Linear AssociationsWorksheet | Answer Key
  3. Use Linear Models to Make PredictionsWorksheet | Answer Key
  4. Interpret Two-Way Frequency TablesWorksheet | Answer Key
  5. Interpret Two-Way Relative Frequency TablesWorksheet | Answer Key

Topic 5: Analyze and Solve Systems of Linear Equations
  1. Estimate Solutions by InspectionWorksheet | Answer Key
  2. Solve Systems by GraphingWorksheet | Answer Key
  3. Solve Systems by SubstitutionWorksheet | Answer Key
  4. Solve Systems by EliminationWorksheet | Answer Key

Topic 6: Congruence and Similarity
  1. Analyze TranslationsWorksheet | Answer Key
  2. Analyze ReflectionsWorksheet | Answer Key
  3. Analyze RotationsWorksheet | Answer Key
  4. Compose TransformationsWorksheet | Answer Key
  5. Understand Congruent FiguresWorksheet | Answer Key
  6. Describe DilationsWorksheet | Answer Key
  7. Understand Similar FiguresWorksheet | Answer Key
  8. Angles, Lines, and TransversalsWorksheet | Answer Key
  9. Interior and Exterior Angles of TrianglesWorksheet | Answer Key
  10. Angle-Angle Triangle SimilarityWorksheet | Answer Key

Topic 7: Understand and Apply the Pythagorean Theorem
  1. Understand the Pythagorean TheoremWorksheet | Answer Key
  2. Understand the Converse of the Pythagorean TheoremWorksheet | Answer Key
  3. Apply the Pythagorean Theorem to Solve ProblemsWorksheet | Answer Key
  4. Find Distance in the Coordinate PlaneWorksheet | Answer Key

Topic 8: Solve Problems Involving Surface Area and Volume
  1. Find Surface Area of Three-Dimensional FiguresWorksheet | Answer Key
  2. Find Volume of CylindersWorksheet | Answer Key
  3. Find Volume of ConesWorksheet | Answer Key
  4. Find Volume of SpheresWorksheet | Answer Key

EXPLORE MATH CHALLENGES
SELECT A CHALLENGE THAT MOST INTERESTS YOU!

                                               Daily Desmos
Visit Daily Desmos and find a couple of graphs that intrigue you and that seem appropriately challenging. (Some will be too easy, and some will be too hard... this is like Goldilocks.) They are categorized into basic and advanced. Now try to reproduce your chosen graphs using Desmos.com (an incredible, incredible easy-to-use online graphing calculator). Submit a comment with your answers – or the closest you could get to your answers. It's okay if you didn't *get* it! Print out the original Daily Desmos challenges, a short explanation why you thought those particular Daily Desmos challenges were of appropriate difficulty for you, and your comments that you submitted.

                                 Visual Patterns ​
Do you like finding patterns? Did you find sequences interesting? Well if so, go to Visual Patterns and pick an appropriately challenging pattern from the hundred that are there, and try to determine the number of objects in the 43rd figure. (Choose something appropriately challenging. You can ask me if you have questions!) The thing about these is there are many ways to solve these. So then come up with a second, different way to determine the number of objects in the 43rd figure. And then do this again with a third, different way. Use color and clear diagrams to explain the three different ways (on three separate sheets). Submit your different methods. Print out the visual pattern you were trying to solve, and a writeup of your logic of how you tried to find the 43rd figure in different ways, and why you thought it was an appropriately challenging pattern to work on.  Share your thought process!

RFL (Rational Football League)

You are in charge of selecting the players who will make up your team and compete for glory! Don't worry if you're not familiar with football - with the right set of math skills, you've got everything you need to succeed.

Math Links ​