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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
Fractions and Decimals for Grade 4

Fractions and Decimals for Grade 4

Key Concepts

Fractions and decimals are ways to represent parts of a whole. Fractions are written as a numerator over a denominator, while decimals are written with a decimal point to separate the whole number from the fractional part.

Understanding Fractions

A fraction represents a part of a whole. It consists of two numbers: the numerator (the top number) and the denominator (the bottom number). The denominator tells us how many equal parts the whole is divided into, and the numerator tells us how many of those parts we have.

Example: The fraction 3/4 means we have 3 out of 4 equal parts.

Understanding Decimals

Decimals are another way to represent parts of a whole. They use a decimal point to separate the whole number from the fractional part. Each digit after the decimal point represents a fraction of a whole number.

Example: The decimal 0.75 means we have 75 parts out of 100, which is the same as the fraction 3/4.

Converting Between Fractions and Decimals

To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, express the decimal as a fraction with a power of 10 in the denominator and then simplify.

Example: Convert 3/4 to a decimal: 3 รท 4 = 0.75.

Example: Convert 0.6 to a fraction: 0.6 = 6/10 = 3/5.

Comparing Fractions and Decimals

To compare fractions and decimals, convert them to the same form. For example, convert both to decimals and then compare the decimal values.

Example: Compare 3/4 and 0.7: Convert 3/4 to 0.75, so 3/4 (0.75) is greater than 0.7.

Examples and Analogies

Think of fractions and decimals like slices of pizza. If you have 3 out of 4 slices (3/4), you have more than half the pizza. If you have 0.75 of the pizza, it means you have 75% of the pizza, which is the same as 3/4.

Example: If you have 1/2 of a pizza, it means you have 0.5 or 50% of the pizza.

Practical Application

Understanding fractions and decimals is essential for everyday tasks. For example, when cooking, you might need to measure ingredients using fractions (1/2 cup) or decimals (0.5 liter). These skills also help in understanding money, percentages, and other real-world applications.

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