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Grade 4 (Topics)

27 Probability

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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Sara’s father is giving her a set of pencils and a sharpener. He has red, black, and yellow pencils, and blue and red sharpeners. How many different combinations of one pencil and one sharpener can she choose from?

To solve:

1. Identify the number of pencils: There are 3 pencils—red, black, and yellow.
2. Identify the number of sharpeners: There are 2 sharpeners—blue and red.

To find the total number of combinations, multiply the number of pencils by the number of sharpeners:

3 pencils × 2 sharpeners = combinations

Sara can choose from combinations.

Grade 4 (Topics)

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Sara’s father is giving her a set of pencils and a sharpener. He has red, black, and yellow pencils, and blue and red sharpeners. How many different combinations of one pencil and one sharpener can she choose from?

Correct answer is 6,6.

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Grade 4 (Topics)

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Wonderful!

Sara’s father is giving her a set of pencils and a sharpener. He has red, black, and yellow pencils, and blue and red sharpeners. How many different combinations of one pencil and one sharpener can she choose from?

Correct answer is 6,6.

Task not completed!