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Math for Grade 5
1 Number Sense
1-1 Place Value
1-1 1 Understanding place value up to millions
1-1 2 Reading and writing numbers in standard and expanded form
1-1 3 Comparing and ordering numbers
1-2 Rounding
1-2 1 Rounding numbers to the nearest 10, 100, and 1000
1-2 2 Estimating sums and differences
1-3 Number Patterns
1-3 1 Identifying and extending number patterns
1-3 2 Using patterns to solve problems
2 Operations
2-1 Addition and Subtraction
2-1 1 Adding and subtracting multi-digit numbers
2-1 2 Solving word problems involving addition and subtraction
2-2 Multiplication
2-2 1 Multiplication facts up to 12x12
2-2 2 Multiplying multi-digit numbers by one-digit numbers
2-2 3 Multiplying multi-digit numbers by two-digit numbers
2-2 4 Solving word problems involving multiplication
2-3 Division
2-3 1 Division facts up to 12x12
2-3 2 Dividing multi-digit numbers by one-digit numbers
2-3 3 Dividing multi-digit numbers by two-digit numbers
2-3 4 Solving word problems involving division
2-4 Order of Operations
2-4 1 Understanding and applying the order of operations (PEMDAS)
2-4 2 Solving problems with multiple operations
3 Fractions
3-1 Understanding Fractions
3-1 1 Identifying parts of a whole and parts of a set
3-1 2 Equivalent fractions
3-1 3 Comparing and ordering fractions
3-2 Operations with Fractions
3-2 1 Adding and subtracting fractions with like denominators
3-2 2 Adding and subtracting fractions with unlike denominators
3-2 3 Multiplying fractions by whole numbers
3-2 4 Solving word problems involving fractions
4 Decimals
4-1 Understanding Decimals
4-1 1 Reading and writing decimals
4-1 2 Comparing and ordering decimals
4-1 3 Converting between fractions and decimals
4-2 Operations with Decimals
4-2 1 Adding and subtracting decimals
4-2 2 Multiplying decimals
4-2 3 Dividing decimals
4-2 4 Solving word problems involving decimals
5 Measurement
5-1 Units of Measurement
5-1 1 Understanding customary and metric units of length, weight, and capacity
5-1 2 Converting between units of measurement
5-2 Time
5-2 1 Telling time to the minute
5-2 2 Calculating elapsed time
5-2 3 Solving word problems involving time
5-3 Area and Perimeter
5-3 1 Finding the area and perimeter of rectangles and squares
5-3 2 Solving word problems involving area and perimeter
6 Geometry
6-1 Shapes
6-1 1 Identifying and classifying 2D shapes (triangles, quadrilaterals, etc )
6-1 2 Identifying and classifying 3D shapes (cubes, pyramids, etc )
6-2 Angles
6-2 1 Identifying and measuring angles
6-2 2 Classifying angles as acute, obtuse, right, or straight
6-3 Symmetry
6-3 1 Identifying lines of symmetry
6-3 2 Creating symmetrical shapes
7 Data and Probability
7-1 Data Representation
7-1 1 Reading and interpreting bar graphs, line graphs, and pie charts
7-1 2 Creating graphs to represent data
7-2 Probability
7-2 1 Understanding probability as a measure of likelihood
7-2 2 Predicting outcomes based on probability
7-2 3 Solving simple probability problems
Rounding Explained

Understanding Rounding

What is Rounding?

Rounding is a method used to simplify numbers by reducing their precision. It involves adjusting a number to the nearest multiple of 10, 100, or any other specified base. Rounding is particularly useful when dealing with large numbers or when exact values are not necessary.

Key Concepts of Rounding

1. Place Value

Place Value is crucial in rounding. It determines which digit to focus on when rounding. For example, when rounding to the nearest ten, you look at the digit in the tens place.

Example: In the number 47, the digit 4 is in the tens place.

2. Rounding Rules

There are specific rules to follow when rounding:

Example: To round 47 to the nearest ten, look at the digit in the ones place (7). Since 7 is 5 or more, you round up to 50.

3. Rounding to Different Places

You can round numbers to different place values, such as tens, hundreds, or thousands. The place value you choose determines the level of precision.

Example: Rounding 1234 to the nearest hundred, you look at the digit in the tens place (3). Since 3 is less than 5, you round down to 1200.

Practical Examples

Example 1: Rounding to the Nearest Ten

Round 63 to the nearest ten.

Step 1: Identify the digit in the tens place (6).

Step 2: Look at the digit in the ones place (3).

Step 3: Since 3 is less than 5, round down to 60.

Example 2: Rounding to the Nearest Hundred

Round 587 to the nearest hundred.

Step 1: Identify the digit in the hundreds place (5).

Step 2: Look at the digit in the tens place (8).

Step 3: Since 8 is 5 or more, round up to 600.

Example 3: Rounding to the Nearest Thousand

Round 2456 to the nearest thousand.

Step 1: Identify the digit in the thousands place (2).

Step 2: Look at the digit in the hundreds place (4).

Step 3: Since 4 is less than 5, round down to 2000.

Why Rounding is Useful

Rounding simplifies calculations and makes numbers easier to work with. It is particularly helpful in everyday situations, such as estimating costs, measuring quantities, and understanding large numbers.

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