Grade 5 Topics

1. 1 Numeration Review
   • 1.1 Place Values
   • 1.2 Conversion between Place Values
   • 1.3 Comparing and Ordering Numbers
   • 1.4 Place Value on Decimals
   • 1.5 Comparing and Ordering Decimals
   • 1.6 Problem Solving Using Patterns
   • 1.7A Expression in Scientific Notation
   • 1.7B Expression in Scientific Notation
2. 2 Add and Subtract Whole Numbers and Decimals Part I
   • 2.1 Mental Math on Addition and Subtraction
   • 2.2 Addition and Subtraction Problem Solving
   • 2.3 Addition and Subtraction Properties
   • 2.4 Rounding Whole Numbers and Decimals
   • 2.5 Estimating Sums and Differences
3. 3 Add and Subtract Whole Numbers and Decimals Part II
   • 3.1 Add and Subtract Whole numbers and Decimals
   • 3.2 Problem Solving and Write Equations
   • 3.3 Adding and Subtracting Decimals
   • 3.4 Adding and Subtracting Money
   • 3.5 Problem Solving Multistep Problem
4. 4 Multiplying Whole Numbers Part I
   • 4.1 Multiplication Properties
   • 4.2 Using Mental Math to Multiply
   • 4.3A Estimating Products
   • 4.3B Estimating Products
   • 4.4 Multiplying by 1-Digit Numbers
   • 4.5A Multiplying by 2-Digit Numbers
   • 4.5B Multiplying by 2-Digit Numbers
   • 4.6 Multiplying by 3-Digit Numbers
5. 5 Multiplying Whole Numbers Part II
   • 5.1 Multiplying Greater Numbers
   • 5.2 Multiplying Numbers Ending at Zero
   • 5.3 Multiplying 3 Numbers
   • 5.4 Concepts of Exponents
   • 5.5 Multiplication Inequalities
   • 5.6 Problem Solving and Write Equations
6. 6 Division: 1-Digit Divisor
   • 6.1 Connecting Models and Symbols
   • 6.2 Estimating Quotients
   • 6.3 Division Using 1-Digit Divisors
   • 6.4 Zeros in the Quotient
   • 6.5 Dividing by Multiples of 10 and 100
   • 6.6A Prime and Composite Numbers
   • 6.6B Prime and Composite Numbers
   • 6.7 Problem Solving and Write Equations
7. 7 Division: 2-Digit Divisor
   • 7.1A Use of Patterns in Division
   • 7.1B Use of Patterns in Division
   • 7.2 Estimating Quotients
   • 7.3 Dividing by Multiples of 10
   • 7.4 Dividing the Numbers Ending at Zero
   • 7.5 1-Digit and 2-Digit Quotients
   • 7.6 Dividing with Greater Numbers
   • 7.7 Inequalities with Divisions
   • 7.8 Problem Solving Multistep Problems
8. 8 Variables and Expressions
   • 8.1 Concept of Variables and Expressions
   • 8.2 Patterns and Expression
   • 8.3 Evaluate Variable Expression
   • 8.4 Distributive Property
   • 8.5 Order of Operations
   • 8.6 Addition and Subtraction of Expressions
   • 8.7 Writing Multiplication Expressions Using Exponents
   • 8.8 Evaluating Exponent Expressions
9. 9 Multiplying and Dividing Decimals Part I
   • 9.1A Multiplying Decimals by the Power of 10
   • 9.1B Multiplying Decimals by the Power of 10
   • 9.2A Multiplying Decimals by a Whole Numbers
   • 9.2B Multiplying Decimals by a Whole Numbers
   • 9.3A Estimation of the Product of a Decimal Number and a Whole Number
   • 9.3B Estimation of the Product of a Decimal Number and a Whole Number
   • 9.4A Multiplication of Two Decimal Numbers
   • 9.4B Multiplication of Two Decimal Numbers
   • 9.5 Multiplying Money Amount
   • 9.6 Dividing Decimals by the Power of 10
10. 10 Multiplying and Dividing Decimals Part II
    • 10.1 Dividing Decimals by Whole Numbers
    • 10.2A Dividing Decimals by Whole Numbers with Rounding
    • 10.2B Dividing Decimals by Whole Numbers with Rounding
    • 10.3 Dividing a Decimal by a Decimal
    • 10.4 Dividing Money Amount
    • 10.5 Inequalities of Decimals
    • 10.6 Problem Solving Multistep Problems
11. 11 Shapes
    • 11.1 Basic Concepts, Parallel, and Perpendicular Lines
    • 11.2 Measuring and Classifying Angles
    • 11.3 Regular and Irregular Polygons
    • 11.4 Classify Triangles
    • 11.5 Quadrilaterals
    • 11.6 Finding Unknown Angles in Triangles and Quadrilaterals
12. 12 Fractions Part I
    • 12.1 Meaning of Fractions
    • 12.2 Fractions and Divisions
    • 12.3 Convert between Mixed Number and Improper Fractions
    • 12.4 Equivalent Fractions
    • 12.5 Reduce Fraction to Simplest Form
    • 12.6 Ordering Fractions
    • 12.7 Comparing and Ordering Fractions and Mixed Numbers
13. 13 Fractions Part II
    • 13.1 Factors and Common Factors
    • 13.2 Greatest Common Factor (GCF)
    • 13.3A Tenths, Hundredths, and Thousandths
    • 13.3B Tenths, Hundredths, and Thousandths
    • 13.4 Fractions and Decimals on the Number Line
    • 13.5 Order Decimals, Fractions, and Mixed Numbers
    • 13.6 Problem Solving
14. 14 Fraction and Mixed Numbers Operation Part I
    • 14.1A Adding and Subtracting Fractions with Like Denominators
    • 14.1B Adding and Subtracting Fractions with Like Denominators
    • 14.1C Adding and Subtracting Fractions with Like Denominators
    • 14.2 Multiples and Common Multiples
    • 14.3 Least Common Multiples (LCM)
    • 14.4 Adding and Subtracting Fractions with Unlike Denominators
    • 14.5A Addition of Three or More Fractions with Like/Unlike Denominators
    • 14.5B Addition of Three or More Fractions with Like/Unlike Denominators
    • 14.6A Adding and Subtracting Mixed Numbers
    • 14.6B Adding and Subtracting Mixed Numbers
    • 14.6C Adding and Subtracting Mixed Numbers
    • 14.7 Problem Solving
15. 15 Fraction and Mixed Numbers Operation Part II
    • 15.1 Multiplying Fractions and Whole Numbers
    • 15.2 Multiplying Two Fractions
    • 15.3 Multiplying Three Fractions
    • 15.4 Multiplying Mixed Numbers and Whole Numbers
    • 15.5 Multiplying Mixed Numbers and Mixed Numbers
    • 15.6 Dividing Fractions
    • 15.7 Dividing Fractions and Mixed Numbers
    • 15.8 Problem Solving
16. 16 Perimeter and Area
    • 16.1 Perimeters of all Kinds of Shapes
    • 16.2 Area of Squares and Rectangles
    • 16.3 Area of Parallelograms and Trapezoids
    • 16.4 Area of Triangles
    • 16.5 Area of a Compound Figure
17. 17 Shapes and Solids Part I
    • 17.1 Circles and Circumference
    • 17.2 Problem Solving: Draw a Picture to Make an Organized List
    • 17.3 Solids
    • 17.4 Shapes and Solids
    • 17.5 Surface Area
18. 18 Shapes and Solids Part II
    • 18.1 Views of Solids from Different Perspectives
    • 18.2 Volume
    • 18.3 Irregular Shapes and Solids
    • 18.4 Problem Solving
19. 19 Measurement Units, Time, and Temperature Part I
    • 19.1 Customary Units
    • 19.2A Metric Units
    • 19.2B Metric Units
    • 19.3A Units of Weight and Mass
    • 19.3B Units of Weight and Mass
    • 19.4 Compare and Convert Customary Units
    • 19.5 Compare and Convert Metric Units
    • 19.6 Operations with Mixed Units
20. 20 Measurement Units, Time, and Temperature Part II
    • 20.1 Converting Customary and Metric Units
    • 20.2 Elapsed Time
    • 20.3 Time Lines and Schedules
    • 20.4 Temperature Change
    • 20.5 Problem Solving
21. 21 Solving Equations
    • 21.1 Equations and Their Properties
    • 21.2 Addition and Subtraction
    • 21.3 Multiplication and Division
    • 21.4A Inequalities
    • 21.4B Inequalities
    • 21.5 Patterns and Equation
    • 21.6 Problem Solving and Writing Equations
22. 22 Ratio, Percent, and Proportion
    • 22.1A Calculate Ratio
    • 22.1B Calculate Ratio
    • 22.2 Equivalent and Equal Ratios
    • 22.3A Proportion and Rates
    • 22.3B Proportion and Rates
    • 22.4 Understanding Percent
    • 22.5 Relate Percent, Fractions and Decimals
    • 22.6 Calculate the Percent
    • 22.7 Problem Solving
23. 23 Equations and Graphs Part I
    • 23.1 Understanding Integers
    • 23.2A Comparison of Integers
    • 23.2B Comparison of Integers
    • 23.3 Writing Linear Functions
    • 23.4 Ordered Pairs
    • 23.5 Graphing Equations
24. 24 Equations and Graphs Part II
    • 24.1 Distances on the Coordinate Plane
    • 24.2 Explore Linear and Non-Linear Relationship
    • 24.3 Locations and Relative Coordinates on the Coordinate Plane
    • 24.4 Problem Solving by Work Backward
25. 25 Graphs and Data
    • 25.1 Interpret Data from Surveys
    • 25.2 Create and Interpret Bar Graphs and Picture Graphs
    • 25.3 Create and Interpret Line Graphs
    • 25.4 Create and Interpret Stem–and-Leaf Plots
    • 25.5 Create and Interpret Histograms
    • 25.6 Create and Interpret Circle Graphs
    • 25.7A Calculate Measures of Central Tendency and the Range
    • 25.7B Calculate Measures of Central Tendency and the Range
    • 25.8 Problem Solving
26. 26 Transformation, Congruence, and Symmetry
    • 26.1 Reflections
    • 26.2 Translations
    • 26.3 Rotations
    • 26.4 Congruence
    • 26.5 Similarities
    • 26.6 Line of Symmetry and Rotational Symmetry
    • 26.7 Problem Solving
27. 27 Probability
    • 27.1 Outcomes
    • 27.2 Calculate Probability as a Fraction
    • 27.3 Experiments and Predictions
    • 27.4 Combination
    • 27.5 Problem Solving