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
4 Shapes and Patterns

4 Shapes and Patterns

Key Concepts

Understanding shapes and patterns is fundamental in mathematics. In Grade 1, we focus on four basic shapes: circle, square, triangle, and rectangle. Patterns involve recognizing and extending sequences of shapes or numbers.

1. Circle

A circle is a round shape with no corners or edges. It looks like a perfectly round ball. Examples of circles include coins, buttons, and wheels.

2. Square

A square is a shape with four equal sides and four right angles. It looks like a box with all sides the same length. Examples of squares include dice, picture frames, and some tiles.

3. Triangle

A triangle is a shape with three sides and three angles. It can have different types, but the basic one has three straight sides that meet at three points. Examples of triangles include slices of pizza, some road signs, and some roofs.

4. Rectangle

A rectangle is a shape with four sides, where opposite sides are equal in length and all angles are right angles. It looks like a stretched-out square. Examples of rectangles include books, doors, and some screens.

Patterns

Patterns are sequences of shapes, numbers, or objects that follow a specific rule. Recognizing and extending patterns helps in understanding how things repeat or change in a predictable way.

Examples of Patterns

Consider the pattern: circle, square, triangle, rectangle, circle, square, triangle, rectangle... This pattern repeats the sequence of the four shapes. To extend the pattern, you would continue with circle, square, triangle, rectangle, and so on.

Practical Application

Understanding shapes and patterns is not only important in math but also in everyday life. For example, when arranging tiles on the floor, recognizing patterns can help in creating a visually appealing design. Similarly, understanding shapes helps in identifying objects and their properties.

Examples and Analogies

Example 1: Circle

Think of a circle as a round pizza. It has no corners, just a smooth, round edge.

Example 2: Square

Imagine a square as a piece of paper folded into four equal parts. Each side is the same length, and all angles are 90 degrees.

Example 3: Triangle

Picture a triangle as a slice of pizza. It has three sides and three corners where the sides meet.

Example 4: Rectangle

Consider a rectangle as a book. It has two longer sides and two shorter sides, with all angles being right angles.

Pattern Example

Think of a pattern as a series of colored beads on a necklace. If the beads are arranged in a sequence of red, blue, green, and yellow, you can predict the next bead by following the pattern.