Mental Math

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Grade 5 Topics

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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Probability
- 27.1 Outcomes
- 27.2 Calculate Probability as a Fraction
- 27.3 Experiments and Predictions
- 27.4 Combination
- 27.5 Problem Solving

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Smart Score out of 100

Lara estimated the product of 456 and 7 by rounding each factor nearest ten. Her estimation problem became 500 × 7. The estimated product was then 3,500. Eric estimated the product by using compatible numbers as 450 × 7. His estimate was 3,150. Who is correct?

Laura

Eric

Both of them

Incorrect

Correct answer is Eric.

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