Mental Math

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Grade 4 Topics

1 Learning Numeration
- 1.1 Numeration in Thousands
- 1.2 Numeration in Millions
- 1.3 Place Values
- 1.4 Comparing and Ordering Numbers
- 1.5 Rounding
- 1.6 Introducing Decimals Using Money
- 1.7 Purchasing and Making Change
- 1.8 Problem Solving

2 Addition and Subtraction Part I
- 2.1 Mental Addition and Subtraction
- 2.2 Estimating Sums and Differences
- 2.3 Addition and Subtraction of Whole Numbers
- 2.4 Addition and Subtraction across Zeroes
- 2.5 Addition and Subtraction Patterns over Increasing Place Values

3 Addition and Subtraction Part II
- 3.1A Finding the Missing Digits
- 3.1B Finding the Missing Digits
- 3.2 Problem Solving with Missing or Extra Information
- 3.3 Mixed Problem Solving
- 3.4 Problem Solving Using Pictures and Equations

4 Multiplication Part I
- 4.1 Multiplication Concept
- 4.2 Number Patterns for Multiplication
- 4.3 Multiplication Facts to 9
- 4.4 Properties of Multiplication
- 4.5 Multiplication Using 2, 3, and 4 as Factors

5 Multiplication Part II
- 5.1 Multiplication Using 5, 6, and 7 as Factors
- 5.2 Multiplication Using 8 and 9 as Factors
- 5.3 Multiplication Using 10, 11, and 12 as Factors
- 5.4 Multiplication in Horizontal and Vertical Form
- 5.5 Multiplication by the Same Number
- 5.6 Problem Solving Using Pictures and Equations

6 Division
- 6.1 Division Concept
- 6.2 Connecting Multiplication with Division
- 6.3 Division Facts to 9
- 6.4 Special Division Problems
- 6.5 Problem Solving Using Pictures and Equations

7 Multiplying by 1-Digit Numbers Part I
- 7.1A Multiple
- 7.1B Find the Multiples of Given Numbers
- 7.2A Multiplication Using Multiples of 10 and 100
- 7.2B Multiplication Using Multiples of 10 and 100
- 7.3 Multiplication Using Mental Math
- 7.4A Estimate the Product
- 7.4B Estimate the product of word problem
- 7.5 Problem Solving as Using Reasoning

8 Multiplying by 1-Digit Numbers Part II
- 8.1 Expanded Forms in Multiplication
- 8.2 Multiply 2-Digit Numbers by 1-Digit Number without Regrouping
- 8.3 Multiply 2-Digit Numbers by 1-Digit Number with Regrouping
- 8.4 Multiplication of 3-Digit Numbers by 1-Digit Number with Regrouping
- 8.5 Problem Solving Using Pictures and Equations

9 Algebra Part I
- 9.1 Introducing Variables and Expressions
- 9.2 Writing Variable Expressions
- 9.3 Geometric Growth Pattern
- 9.4 Addition and Subtraction
- 9.5 Multiplication and Division

10 Algebra Part II
- 10.1 Evaluate Variable Expressions
- 10.2 Understanding Like and Unlike Terms
- 10.3 Addition and Subtraction of Like Terms
- 10.4 Simplify the Expressions Using the Order of Operations
- 10.5 Problem Solving Using Object and Reason

11 Multiplication Strategies
- 11.1 Multiplication Facts to 12
- 11.2 Use Mental Math for Large Number Multiplications
- 11.3A Estimating Products
- 11.3B Estimating Products
- 11.4 Arrays and Expanded Form
- 11.5 2-Digit Numbers Multiplication
- 11.6 3-Digit and 2-Digit Number Multiplication

12 Multiplication by 2-Digit Numbers
- 12.1 Multiplication with Numbers Ending at Zero
- 12.2 Multiplying Three 1-Digit Numbers
- 12.3 Multiplication Patterns over Increasing Place Values
- 12.4 Special Multiplication Problems
- 12.5 Equalities and Inequalities in Multiplication Sentences
- 12.6 Multistep Multiplication Problems

13 Dividing by 1-Digit Numbers Part I
- 13.1 Mental Math Using Division
- 13.2 Estimate Quotients
- 13.3 Find Remainders
- 13.4 Division Models and Symbols
- 13.5 Divide 2- and 3-Digit Numbers by 1-Digit Numbers
- 13.6 Divide 2- and 3-Digit Numbers by 2-Digit Numbers
- 13.7 Divide Larger Numbers by Multiples of 10

14 Dividing by 1-Digit Numbers Part II
- 14.1 Identifying Missing Numbers in Division Equations
- 14.2 Divide Numbers Ending at Zeroes
- 14.3 Equalities and Inequalities in Division Sentences
- 14.4 Factors
- 14.5 Recognize Prime and Composite Numbers
- 14.6 Problem Solving
- 14.7A Mixed Operations: Multiplication and Division
- 14.7B Mixed Operations: Multiplication and Division

15 Geometry Part I
- 15.1 Points, Lines, and Planes
- 15.2A Rays, Line Segments, and Angles
- 15.2B Rays, Line Segments, and Angles
- 15.3A Measuring Angles
- 15.3B Measuring Angles
- 15.4A Identifying Polygons
- 15.4B Identifying Polygons
- 15.5 Recognizing Shapes and Angles

16 Geometry Part II
- 16.1 Count and Compare Sides, Edges, Faces, and Vertices
- 16.2A Types of Triangles
- 16.2B Types of Triangles
- 16.3A Classify Quadrilaterals
- 16.3B Classify Quadrilaterals
- 16.4 Circles and Parts of a Circle
- 16.5 Calculate Radius, Diameter, and Circumference

17 Fractions
- 17.1A Parts of Sets
- 17.1B Parts of Sets
- 17.2 Relate Fractions and Division
- 17.3 Fraction of a Number
- 17.4 Estimating Fractions
- 17.5 Evaluate Equivalent and Non-Equivalent Fractions
- 17.6 Simplify the Fractions
- 17.7 Proper and Improper Fractions
- 17.8A Ordering and Comparing Fractions
- 17.8B Ordering and Comparing Fractions
- 17.9 Problem Solving

18 Fraction Operation
- 18.1 Adding Fractions with Like Denominators
- 18.2A Subtracting Fractions with Like Denominators
- 18.2B Subtracting Fractions with Like Denominators
- 18.3 Adding Fractions with Unlike Denominators
- 18..4 Subtracting Fractions with Unlike Denominators
- 18.5 Adding More Fractions with Like/Unlike Denominators
- 18.6 Converting Fractions to Mixed Numbers
- 18.7 Convert Mixed Numbers to Fractions
- 18.8 Find the Missing Numerator and Denominator
- 18.9 Problem Solving Using Pictures and Equations

19 Decimals
- 19.1A Decimal Concepts
- 19.1B Decimal Concepts
- 19.2 Compare and Order Decimal Numbers
- 19.3 Fractions and Decimals Conversion
- 19.4 Rounding Decimal Numbers
- 19.5 Compare Pairs of Numbers in Decimal or Fraction Form
- 19.6 Using Number Lines to Understand Fractions and Decimals
- 19.7 Fractions, Mixed Numbers, and Decimals on a Number Line

20 Decimal Number Operation
- 20.1 Addition
- 20.2 Subtraction
- 20.3A Estimating Sums and Differences
- 20.3B Estimating Sums and Differences
- 20.4A Addition and Subtraction Using Decimal Numbers
- 20.4B Addition and Subtraction Using Decimal Numbers
- 20.5 Addition or Subtraction of 3 or More Decimal Numbers
- 20.6A Multiply a Decimal Number by a Whole Number
- 20.6B Multiply a Decimal Number by a Whole Number
- 20.7 Divide a Decimal Number by a Whole Number
- 20.8 Inequalities with Addition and Subtraction
- 20.9 Problem Solving

21 Measurement Part I
- 21.1 Area Concept
- 21.2 Measure Area of Squares and Rectangles
- 21.3 Area of Irregular Shapes
- 21.4 Area of Parallelograms
- 21.5 Area of Triangles
- 21.6 Perimeter
- 21.7 Use of Area and Perimeter to Determine Cost

22 Measurement Part II
- 22.1 Length in Customary Units
- 22.2 Capacity in Customary Units
- 22.3 Weight in Customary Units
- 22.4 Convert Customary Units
- 22.5 Length in Metric Units
- 22.6 Capacity in Metric Units
- 22.7 Weight in Metric Units
- 22.8 Changing Metric Units

23 Solid and Measurement
- 23.1A Identify Solid Figures
- 23.1B Identify Solid Figures
- 23.3 Find Volume
- 23.5 Time and Elapsed Time
- 23.6 Calendar
- 23.7 Temperature

24 Graph
- 24.1 Read a Table
- 24.2 Make Frequency Table
- 24.3 Understanding Bar Graphs
- 24.4A Locate a Point on a Coordinate Plane
- 24.4B Locate a Point on a Coordinate Plane
- 24.4C Locate a Point on a Coordinate Plane
- 24.6 Find the Mean and the Median
- 24.7 Find the Mode and the Range
- 24.8 Read and Create Stem-and-Leaf Plots
- 24.9 Read and Create Circle Graphs

25 Equation and Function
- 25.1 Algebra: Equal or Not Equal
- 25.2 Algebra: Solving Addition and Subtraction Equations
- 25.3 Algebra: Solving Multiplication and Division Equations
- 25.5A Understanding Function Tables
- 25.5B Understanding Function Tables
- 25.6A Develop Linear Functions
- 25.6B Develop Linear Functions
- 25..7 Graph Linear Functions

26 Transformation, Congruence, and Symmetry
- 26.1 Translation Image of Figures
- 26.2 Reflection
- 26.3 Rotation of Figures
- 26.4 Congruent Figures
- 26.5 Similar Figures
- 26.6 Line Symmetry of Figures
- 26.7 Rotational Symmetry of Figures

27 Probability
- 27.1 Experiments and Outcomes
- 27.2 Combination of Outcomes
- 27.4 Probability Expressions
- 27.5 Probability of an Event
- 27.6 Problem Solving: Use Reasoning

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Smart Score out of 100

Wesley and Alec made 8 / 9 of a pound of stir-fry for dinner. They used 2 / 9 of a pound of bell peppers, some mushrooms, and 1 / 9 of a pound of snow peas. What fraction of a pound of mushrooms did they use in the stir-fry?

If the amount of Mushroom is X

X = 8 / 9 - ( 2 / 9 + 2 / 9 )

=

lbs

Correct answer is 4,9.

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