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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
Addition and Subtraction for Grade 4

Addition and Subtraction for Grade 4

Key Concepts

Addition and subtraction are fundamental operations in mathematics. Addition combines two or more numbers to find their total, while subtraction finds the difference between two numbers.

Addition

Addition involves combining numbers to find their sum. For example, if you have 3 apples and add 2 more apples, you have 5 apples in total. This can be written as 3 + 2 = 5.

Example: If you have 4 candies and your friend gives you 3 more, you now have 4 + 3 = 7 candies.

Subtraction

Subtraction involves taking away a number from another to find the difference. For example, if you have 5 apples and eat 2, you have 3 apples left. This can be written as 5 - 2 = 3.

Example: If you have 8 stickers and give 3 to your friend, you now have 8 - 3 = 5 stickers.

Properties of Addition and Subtraction

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

Commutative Property of Addition: The order of numbers does not change the sum. For example, 4 + 6 = 6 + 4.

Associative Property of Addition: The way numbers are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Practical Application

Addition and subtraction are used in everyday life. For example, counting money, measuring ingredients for cooking, and keeping track of time all involve these operations.

Example: If you have $10 and spend $4, you have $10 - $4 = $6 left. If you earn $5 more, you now have $6 + $5 = $11.

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