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Math for Grade 7
1 Number Sense and Operations
1-1 Integers
1-1 1 Understanding positive and negative numbers
1-1 2 Comparing and ordering integers
1-1 3 Absolute value
1-1 4 Adding and subtracting integers
1-1 5 Multiplying and dividing integers
1-2 Rational Numbers
1-2 1 Understanding fractions, decimals, and mixed numbers
1-2 2 Comparing and ordering rational numbers
1-2 3 Converting between fractions, decimals, and percents
1-2 4 Adding and subtracting fractions and mixed numbers
1-2 5 Multiplying and dividing fractions and mixed numbers
1-3 Exponents and Roots
1-3 1 Understanding exponents
1-3 2 Laws of exponents
1-3 3 Square roots and cube roots
2 Algebra
2-1 Expressions and Equations
2-1 1 Writing algebraic expressions
2-1 2 Evaluating algebraic expressions
2-1 3 Solving one-step and two-step equations
2-1 4 Solving inequalities
2-2 Patterns and Functions
2-2 1 Identifying and extending patterns
2-2 2 Representing patterns with tables, graphs, and equations
2-2 3 Understanding functions and function notation
3 Geometry
3-1 Shapes and Angles
3-1 1 Classifying polygons
3-1 2 Measuring and drawing angles
3-1 3 Understanding complementary and supplementary angles
3-2 Transformations
3-2 1 Understanding translations, reflections, and rotations
3-2 2 Identifying congruent and similar figures
3-3 Perimeter, Area, and Volume
3-3 1 Calculating perimeter and area of polygons
3-3 2 Understanding and calculating the area of circles
3-3 3 Calculating the volume of rectangular prisms
4 Data and Probability
4-1 Data Representation
4-1 1 Collecting and organizing data
4-1 2 Creating and interpreting bar graphs, line graphs, and pie charts
4-1 3 Understanding mean, median, mode, and range
4-2 Probability
4-2 1 Understanding probability as a ratio
4-2 2 Calculating simple probabilities
4-2 3 Understanding experimental versus theoretical probability
5 Problem Solving and Critical Thinking
5-1 Strategies for Problem Solving
5-1 1 Using logical reasoning and critical thinking
5-1 2 Applying the problem-solving process
5-1 3 Using estimation and approximation
5-2 Real-World Applications
5-2 1 Applying mathematical concepts to real-world scenarios
5-2 2 Understanding the relevance of mathematics in daily life
Classifying Polygons Explained

Classifying Polygons Explained

Key Concepts

1. **Polygons**: Closed shapes made up of straight lines.

2. **Sides and Vertices**: The number of sides and vertices (corners) determine the type of polygon.

3. **Classification**: Polygons are classified based on the number of sides.

Detailed Explanation

Polygons

A polygon is a closed shape formed by connecting a finite number of straight line segments. Examples include triangles, squares, and hexagons.

Sides and Vertices

The number of sides in a polygon is equal to the number of vertices. For example, a triangle has 3 sides and 3 vertices, while a pentagon has 5 sides and 5 vertices.

Classification

Polygons are classified based on the number of sides:

Examples and Analogies

Example 1: Identifying Polygons

Example: Identify the polygon with 6 sides.

Solution: The polygon with 6 sides is called a hexagon.

Explanation: By counting the sides, we can classify the polygon.

Example 2: Classifying Shapes

Example: Classify the shape with 8 sides.

Solution: The shape with 8 sides is an octagon.

Explanation: The number of sides helps in determining the type of polygon.

Analogy: Polygons as Shapes in a Box

Think of polygons as different shapes in a box. Each shape has a specific number of sides, just like each item in the box has a unique characteristic. For example, a triangle is like a small toy with 3 edges, while a hexagon is like a larger toy with 6 edges.

Practical Application

Understanding how to classify polygons is crucial in various fields such as architecture, engineering, and computer graphics. It helps in designing and analyzing shapes accurately.

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