## Topic Overview:

### Main concept/theme:

Mathematics in Grade 7 is designed to consolidate students’ foundational skills and introduce more complex mathematical concepts.

### Key learning objectives:

- Understand and apply the four basic operations (addition, subtraction, multiplication, and division) with whole numbers.
- Gain proficiency in fractions, decimals, and percentages.
- Understand and work with integers and rational numbers.
- Develop skills in geometry, including understanding shapes, symmetry, and angles.
- Apply knowledge of measurement and data handling.

## Key Terms and Definitions:

**Whole Number**: Any positive number without fractions or decimals (0, 1, 2, 3, …).**Fraction**: Represents a part of a whole. It is written as one number over another (e.g., 1/2).**Decimal**: A number that represents a fraction written in base 10 (e.g., 0.75).**Percentage**: A fraction out of 100, denoted by the symbol “%”.**Integer**: A whole number that can be positive, negative, or zero (e.g., -3, 0, 4).**Rational Number**: Any number that can be expressed as a fraction (e.g., 1/2, 0.75, -3).**Symmetry**: When one shape becomes exactly like another when you move it in some way (turn, flip, or slide).**Angle**: The space between two intersecting lines or surfaces at or close to the point where they meet.

## Main Content Sections:

### 1. Operations with Whole Numbers

#### Addition and Subtraction:

**Addition**: Combining two numbers to get a sum.- Example: 54 + 29 = 83
**Subtraction**: Taking one number away from another to get a difference.- Example: 93 – 47 = 46

#### Multiplication and Division:

**Multiplication**: Repeated addition of the same number.- Example: 8 x 7 = 56
**Division**: Splitting into equal parts or groups.- Example: 56 ÷ 7 = 8

### 2. Fractions, Decimals, and Percentages

#### Fractions:

- Simplifying, adding, and subtracting fractions.
- Example: 2/3 + 1/4 (Find common denominator, then add)

#### Decimals:

- Converting fractions to decimals and vice versa.
- Example: 3/4 = 0.75

#### Percentages:

- Converting between percentages, fractions, and decimals.
- Example: 50% = 1/2 = 0.5

### 3. Integers and Rational Numbers

#### Integers:

- Understanding and working with positive and negative numbers.
- Addition: (-3) + 5 = 2
- Subtraction: 4 – (-2) = 6

#### Rational Numbers:

- Understanding numbers that can be expressed as a fraction.
- Example: 0.75 = 3/4

### 4. Geometry

#### Shapes and Symmetry:

- Identifying and classifying different shapes.
- Example: Triangle, square, rectangle.
- Understanding symmetry and reflective properties.

#### Angles:

- Types of angles (acute, right, obtuse).
- Measuring angles with a protractor.
- Example of acute angle: less than 90°

### 5. Measurement and Data Handling

#### Measurement:

- Units of measure: length (mm, cm, m, km), mass (g, kg), capacity (ml, l).
- Example: 1000mm = 1m

#### Data Handling:

- Collecting, organizing, and interpreting data.
- Example: Making a bar graph from a given dataset.

## Example

**Operations with Whole Numbers:**- Calculate the following: 76 + 58 – 34 = ?
- Solution: 76 + 58 = 134; 134 – 34 = 100.

**Fractions and Decimals:**- Convert 7/8 to a decimal.
- Solution: 7 ÷ 8 = 0.875.

**Integers:**- What is (-8) + 5?
- Solution: -8 + 5 = -3.

**Geometry:**- Identify the type of angle: 120°.
- Solution: Obtuse angle.

**Measurement:**- Convert 2500 mm to meters.
- Solution: 2500 mm ÷ 1000 = 2.5 meters.

## Summary

- Focus on mastering basic operations: addition, subtraction, multiplication, and division.
- Understand fractions, decimals, and percentages and how to convert between them.
- Know how to work with integers and rational numbers and perform operations involving them.
- Learn to identify shapes, understand symmetry, and measure angles in geometry.
- Be familiar with measurement units and be able to handle and interpret data effectively.

## Self-Assessment Questions

- What is 12 x 9?
- a) 98
- b) 108
- c) 118
- d) 128
- Convert 3/5 into a decimal.
- Answer:
*_*_*_* - What is the sum of -4 and 6?
- Answer:
*_*_*_* - Classify this angle: 45°.
- Answer:
*_*_*_* - How many grams are in 3 kilograms?
- Answer:
*_*_*_*

## Connections to Other Topics/Subjects

**Science**: Measurement and data handling are crucial in conducting experiments and analyzing scientific data.**Geography**: Understanding measurement can help in reading maps and graphs.**Technology**: Basic arithmetic and geometry are foundational to programming and technical design.

Encouragement for students:

– Practice regularly to reinforce these concepts.

– Don’t hesitate to ask for help when something is unclear.

– Use visual aids and real-life examples to better understand and relate to mathematical concepts.