Math for Grade 1
1 Numbers and Counting
1-1 Counting from 1 to 10
1-2 Recognizing and writing numbers 1 to 10
1-3 Counting objects in groups
1-4 Comparing numbers using symbols (<, >, =)
2 Addition
2-1 Introduction to addition
2-2 Adding two single-digit numbers
2-3 Solving addition problems with pictures and objects
2-4 Addition word problems
3 Subtraction
3-1 Introduction to subtraction
3-2 Subtracting two single-digit numbers
3-3 Solving subtraction problems with pictures and objects
3-4 Subtraction word problems
4 Shapes and Patterns
4-1 Recognizing basic 2D shapes (circle, square, triangle, rectangle)
4-2 Identifying shapes in the environment
4-3 Creating simple patterns with shapes
4-4 Sorting objects by shape
5 Measurement
5-1 Comparing lengths and heights using non-standard units
5-2 Introduction to weight and volume
5-3 Comparing objects by weight and volume
5-4 Understanding the concept of time (morning, afternoon, evening)
6 Graphs and Data
6-1 Introduction to simple graphs (picture graphs)
6-2 Interpreting data from picture graphs
6-3 Creating simple picture graphs
6-4 Understanding the concept of more, less, and equal
7 Problem Solving
7-1 Solving problems using addition and subtraction
7-2 Identifying the correct operation (addition or subtraction)
7-3 Using objects and drawings to solve problems
7-4 Explaining the solution process
8 Number Sense
8-1 Understanding the concept of even and odd numbers
8-2 Recognizing and writing numbers 11 to 20
8-3 Counting by 2s, 5s, and 10s
8-4 Understanding place value (ones and tens)
9 Geometry
9-1 Recognizing basic 3D shapes (cube, sphere, cylinder, cone)
9-2 Identifying faces, edges, and vertices of 3D shapes
9-3 Sorting objects by 3D shape
9-4 Exploring symmetry in shapes
10 Money
10-1 Introduction to coins (penny, nickel, dime)
10-2 Identifying and counting coins
10-3 Simple money exchange problems
10-4 Understanding the value of money
Explaining the Solution Process for 7 + 4

Explaining the Solution Process for 7 + 4

Key Concepts

1. Addition

Addition is a basic arithmetic operation where two or more numbers are combined to find their total. In this case, we are adding 7 and 4.

2. Counting On

Counting on is a method used to add numbers by starting from one number and counting up the other number. For example, to add 7 and 4, you start at 7 and count up 4 more numbers.

3. Place Value

Place value refers to the value of each digit in a number based on its position. In the context of addition, understanding place value helps in breaking down numbers into smaller parts.

Detailed Explanation

Addition

When we add 7 and 4, we are combining these two numbers to find their total. The addition symbol (+) is used to indicate that we are adding the numbers together.

Counting On

To solve 7 + 4 using the counting on method, start at 7 and count up 4 more numbers: 8, 9, 10, 11. So, 7 + 4 equals 11.

Place Value

In the number 7, the digit 7 is in the ones place. In the number 4, the digit 4 is also in the ones place. When we add these two numbers, we are adding the ones place values together.

Examples and Analogies

Example 1: Using Counting On

Imagine you have 7 apples and you get 4 more apples. To find out how many apples you have in total, start at 7 and count up 4 more: 8, 9, 10, 11. You now have 11 apples.

Example 2: Using Place Value

Think of 7 as 7 ones and 4 as 4 ones. When you add these together, you get 11 ones, which is the same as 11.

Analogy: Building Blocks

Think of numbers as building blocks. If you have 7 blocks and you add 4 more blocks, you can stack them one on top of the other to see that you now have 11 blocks.

Practical Application

To practice solving 7 + 4, try the following steps:

  1. Start with the number 7.
  2. Count up 4 more numbers: 8, 9, 10, 11.
  3. Write down the total: 11.

By understanding the concepts of addition, counting on, and place value, you can easily solve problems like 7 + 4 and build a strong foundation for more complex arithmetic operations.