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Math for Grade 4
1 Number Sense and Operations
1-1 Place Value
1-1 1 Understanding place value through millions
1-1 2 Reading and writing numbers in standard, word, and expanded form
1-1 3 Comparing and ordering numbers
1-2 Rounding and Estimating
1-2 1 Rounding numbers to the nearest 10, 100, and 1000
1-2 2 Estimating sums, differences, products, and quotients
1-3 Addition and Subtraction
1-3 1 Adding and subtracting multi-digit numbers
1-3 2 Solving word problems involving addition and subtraction
1-4 Multiplication and Division
1-4 1 Multiplication tables up to 12
1-4 2 Multiplying multi-digit numbers by one-digit numbers
1-4 3 Dividing multi-digit numbers by one-digit numbers
1-4 4 Solving word problems involving multiplication and division
1-5 Factors and Multiples
1-5 1 Identifying factors and multiples of a number
1-5 2 Finding the greatest common factor (GCF)
1-5 3 Finding the least common multiple (LCM)
2 Fractions and Decimals
2-1 Understanding Fractions
2-1 1 Identifying and naming fractions
2-1 2 Comparing and ordering fractions with like and unlike denominators
2-1 3 Equivalent fractions
2-2 Operations with Fractions
2-2 1 Adding and subtracting fractions with like denominators
2-2 2 Solving word problems involving fractions
2-3 Understanding Decimals
2-3 1 Reading and writing decimals to the hundredths place
2-3 2 Comparing and ordering decimals
2-4 Operations with Decimals
2-4 1 Adding and subtracting decimals
2-4 2 Solving word problems involving decimals
3 Geometry and Measurement
3-1 Basic Shapes and Properties
3-1 1 Identifying and classifying 2D shapes (triangles, quadrilaterals, etc )
3-1 2 Identifying and classifying 3D shapes (cubes, pyramids, etc )
3-2 Perimeter and Area
3-2 1 Finding the perimeter of polygons
3-2 2 Finding the area of rectangles and squares
3-3 Lines and Angles
3-3 1 Identifying and measuring angles using a protractor
3-3 2 Classifying angles (acute, obtuse, right, straight)
3-4 Time and Measurement
3-4 1 Telling time to the nearest minute
3-4 2 Solving word problems involving time
3-4 3 Measuring length, weight, and capacity using standard units
4 Data Handling and Probability
4-1 Collecting and Organizing Data
4-1 1 Creating and interpreting bar graphs, line plots, and pictographs
4-1 2 Collecting and organizing data in tables
4-2 Analyzing Data
4-2 1 Finding the mode, median, and range of a set of data
4-2 2 Interpreting data from graphs and tables
4-3 Introduction to Probability
4-3 1 Understanding the concept of probability
4-3 2 Predicting outcomes based on data
5 Problem Solving and Critical Thinking
5-1 Strategies for Problem Solving
5-1 1 Using logical reasoning to solve problems
5-1 2 Applying the four operations to solve multi-step problems
5-2 Patterns and Relationships
5-2 1 Identifying and extending number patterns
5-2 2 Understanding and using simple algebraic expressions
5-3 Critical Thinking and Reasoning
5-3 1 Evaluating and justifying solutions to problems
5-3 2 Making connections between different mathematical concepts
Multiplication and Division for Grade 4

Multiplication and Division for Grade 4

Key Concepts

Multiplication and division are fundamental operations in mathematics. Multiplication combines equal groups of objects, while division splits a number into equal parts.

Multiplication

Multiplication is a way to add equal groups of numbers. For example, if you have 3 groups of 4 apples, you can find the total number of apples by multiplying 3 by 4. This can be written as 3 × 4 = 12.

Example: If you have 5 boxes of crayons, and each box contains 6 crayons, you have 5 × 6 = 30 crayons in total.

Division

Division is the process of splitting a number into equal parts. For example, if you have 12 apples and want to divide them equally among 3 friends, you can find the number of apples each friend gets by dividing 12 by 3. This can be written as 12 ÷ 3 = 4.

Example: If you have 20 cookies and want to share them equally among 5 friends, each friend gets 20 ÷ 5 = 4 cookies.

Properties of Multiplication and Division

Understanding properties like the commutative and associative properties helps in solving problems more efficiently.

Commutative Property of Multiplication: The order of numbers does not change the product. For example, 3 × 4 = 4 × 3.

Associative Property of Multiplication: The way numbers are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

Practical Application

Multiplication and division are used in everyday life. For example, calculating the total cost of items, measuring ingredients for cooking, and dividing resources among people all involve these operations.

Example: If a pack of pencils costs $2 and you need 6 packs, the total cost is 6 × 2 = $12. If you have $30 and want to buy as many packs as possible, you can buy 30 ÷ 2 = 15 packs.

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