About Me
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
2-1 3 Equivalent Fractions

2-1 3 Equivalent Fractions

Key Concepts

Equivalent fractions are fractions that represent the same value, even though they may look different. For example, 2/4 and 1/2 are equivalent fractions because they both represent the same amount.

Understanding Equivalent Fractions

To understand equivalent fractions, consider the following steps:

  1. Multiply or divide both the numerator and the denominator of a fraction by the same number.
  2. The resulting fraction will be equivalent to the original fraction.

Examples

Example 1: Find an equivalent fraction for 2/4.

Step 1: Multiply both the numerator and the denominator by 2.

2/4 × 2/2 = 4/8

So, 4/8 is equivalent to 2/4.

Example 2: Find an equivalent fraction for 1/2.

Step 1: Multiply both the numerator and the denominator by 3.

1/2 × 3/3 = 3/6

So, 3/6 is equivalent to 1/2.

Example 3: Find an equivalent fraction for 3/6.

Step 1: Divide both the numerator and the denominator by 3.

3/6 ÷ 3/3 = 1/2

So, 1/2 is equivalent to 3/6.

Analogies to Make Concepts Clearer

Think of equivalent fractions as different ways to describe the same amount of pizza. If you cut a pizza into 4 slices and take 2 slices (2/4), it is the same as cutting the pizza into 2 slices and taking 1 slice (1/2). Both represent half of the pizza.

Practical Application

Understanding equivalent fractions is essential for comparing fractions, adding and subtracting fractions, and simplifying fractions. For example, when adding 1/2 and 1/4, you need to find a common denominator, which involves understanding equivalent fractions.

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