Math for Grade 3
1 Number Sense and Operations
1-1 Counting by 2s, 5s, and 10s
1-2 Place Value to 1,000
1-3 Comparing and Ordering Numbers
1-4 Rounding Numbers to the Nearest 10 and 100
1-5 Addition and Subtraction of Numbers up to 1,000
1-6 Mental Math Strategies for Addition and Subtraction
1-7 Problem Solving with Addition and Subtraction
2 Multiplication and Division
2-1 Introduction to Multiplication (Repeated Addition)
2-2 Multiplication Facts for 0, 1, 2, 5, and 10
2-3 Introduction to Division (Sharing and Grouping)
2-4 Division Facts for 0, 1, 2, 5, and 10
2-5 Problem Solving with Multiplication and Division
3 Fractions and Decimals
3-1 Introduction to Fractions (Parts of a Whole)
3-2 Identifying and Naming Fractions
3-3 Comparing and Ordering Fractions
3-4 Introduction to Decimals (Tenths and Hundredths)
3-5 Comparing and Ordering Decimals
4 Measurement and Data
4-1 Units of Length (Centimeters and Meters)
4-2 Units of Weight (Grams and Kilograms)
4-3 Units of Capacity (Milliliters and Liters)
4-4 Telling Time to the Nearest Minute
4-5 Reading and Interpreting Bar Graphs and Picture Graphs
4-6 Collecting and Organizing Data
5 Geometry
5-1 Identifying and Naming 2D Shapes (Circle, Square, Rectangle, Triangle, Hexagon)
5-2 Identifying and Naming 3D Shapes (Cube, Cylinder, Cone, Sphere)
5-3 Exploring Symmetry in Shapes
5-4 Understanding and Creating Patterns
5-5 Basic Transformations (Slides, Flips, and Turns)
6 Problem Solving and Critical Thinking
6-1 Analyzing and Solving Word Problems
6-2 Using Logical Reasoning to Solve Problems
6-3 Exploring Patterns and Sequences
6-4 Developing Strategies for Mental Math
5 Geometry Concepts for Grade 3

5 Geometry Concepts for Grade 3

Key Concepts

In Grade 3, we explore five fundamental geometry concepts: points, lines, angles, shapes, and symmetry. These concepts help us understand the basic elements of space and form.

1. Points

A point is a tiny dot that represents a specific location in space. Points have no size, only position. They are the simplest geometric figure and are used to define more complex shapes.

Examples

Think of a point as the tip of a pin. It marks a single spot on a piece of paper. If you draw two points on a paper, you can connect them to form a line.

2. Lines

A line is a straight path that extends infinitely in both directions. It is made up of an infinite number of points. Lines can be horizontal, vertical, or diagonal.

Examples

Imagine a straight road that never ends. That’s what a line looks like. If you draw a line between two points, you create a line segment, which has a starting and ending point.

3. Angles

An angle is formed when two lines or line segments meet at a point. The size of the angle is measured in degrees. Angles can be acute (less than 90 degrees), right (exactly 90 degrees), or obtuse (more than 90 degrees).

Examples

Think of a corner of a square. It forms a right angle. If you open a pair of scissors, the space between the blades forms an acute angle. A clock’s hands at 3:00 form a right angle, while at 5:00, they form an obtuse angle.

4. Shapes

Shapes are geometric figures that have specific properties, such as sides and angles. Common shapes include triangles, squares, rectangles, circles, and polygons. Each shape has unique characteristics that define it.

Examples

A triangle has three sides and three angles. A square has four equal sides and four right angles. A circle is a round shape with no corners, and a rectangle has opposite sides that are equal and four right angles.

5. Symmetry

Symmetry is when a shape or object can be divided into two equal parts by a line. This line is called the axis of symmetry. Symmetry can be found in many everyday objects and shapes.

Examples

Think of a butterfly. If you draw a line down the middle, both sides are identical. A square has four axes of symmetry, while a circle has an infinite number of axes of symmetry because it looks the same no matter where you draw the line.

Practical Application

Understanding these geometry concepts helps in everyday situations. For example, when you draw a picture, you use points and lines. When you play with blocks, you create shapes. When you fold a piece of paper, you create symmetry. Geometry is all around us!