**Mathematics 8**

Ministry code: MMA–08

**View the complete Learning Standards for this course here:** Mathematics 8

Mathematics is a way to understand, interpret and describe our world. Students in Math 8 will study rational operations, equation solving, graphing, exponents and roots, scientific notation, measurement, probability and data analysis.

### MODULE 1: Numbers

**Unit 1: Ratios, Percents and Fractions**

- Lesson 1: Ratios (Introduction to Ratios, Equivalent Ratios, Ratio Examples)
- Lesson 2: Proportions (Proportions, 3-term Ratios, Proportions Word Problems)
- Lesson 3: Rates (Ratio Review, Rates, Unit Rates, Rates Examples)
- Lesson 4: Percent (Percent, % greater than 100%, % less than 1%, Equivalent forms of %, Writing % in Different Forms)
- Lesson 5: Percent of a Number (Percent of a Number, Percent Problem 2, Percent Problem 3, Tax Problem, Wage Increases)
- Lesson 6: Types of Fractions (Types of Fractions, Mixed Numbers to Improper Fractions, Like Fractions and Equivalent Fractions, Fractions Examples)
- Lesson 7: Adding & Subtracting Fractions (Adding & Subtracting with the Same and Different Denominators)
- Lesson 8: Multiplying Fractions (Multiplying by Whole Numbers, Multiplying by Fractions, Rules for Multiplying Fractions)
- Lesson 9: Dividing Fractions (Dividing by a Whole Number, Dividing by a Fraction, Reciprocals, Rules for Designing Fractions)

*Unit 1 Assignment*

**Unit 2: Integers**

- Lesson 1: The Real Number System (Real and Natural Numbers, Whole Numbers and Integers, Rational Numbers, Irrational Numbers, Real Number System Diagram and Examples)
- Lesson 2: Comparing Rational Numbers (Number Lines, Rational Number Examples)
- Lesson 3: Decimals Review (Adding & Subtracting Decimals, Multiplying Decimals, Dividing Decimals)
- Lesson 4: BEDMAS Review (BEDMAS Rules and Examples)
- Lesson 5: Operations with Integers (Adding & Subtracting Integers, Multiplying & Dividing Integers)
- Lesson 6: Operations with Rational Numbers (Adding & Subtracting Rational Numbers, Multiplying & Dividing Rational Numbers)

*Unit 2 Assignment*

**Unit 3: Squares and Square Roots**

- Lesson 1: Exponents (Areas of Squares, Exponent Form, Higher Powers, Exponents of Negative Numbers, Powers of 0 and 1, Exponents and Brackets)
- Lesson 2: Perfect Squares (Perfect Squares, Factors of Perfect Squares)
- Lesson 3: Square Roots of Perfect Squares (Square Root Table, Perfect Squares by Area, Square Root Symbol, Methods to Find Square Roots, Principal Square Roots, Square Roots of Fractions)
- Lesson 4: Square Roots of Imperfect Squares (Finding Square Roots by Estimation and by Using a Calculator)
- Lesson 5: Scientific Notation (Standard Form to Scientific Notation, Scientific Notation to Standard Form)

*Unit 3 Assignment*

**Module 1 Test**

### MODULE 2: Patterns and Relations

**Unit 4: Patterns**

- Lesson 1: Variables (Variables, Evaluating by Substitution, Variables in Number Patterns)
- Lesson 2: Ordered Pairs and Graphing (Ordered Pairs, Tables, Graphing Ordered Paris)
- Lesson 3: Graphing Linear Relations (Linear Relations and TOV, X & Y Intercepts, Graphing Linear Relations Examples)
- Lesson 4: Translating Between Written & Algebraic Equations (Writing Algebraic Equations, Algebraic Equations Examples, Algebraic Expressions to Word Equations)

*Unit 4 Assignment*

**Unit 5: Equations**

- Lesson 1: Inverse Operations (Inverse Operations Examples)
- Lesson 2: Solving One Step Equations (Solving Equations Examples)
- Lesson 3: Solving Two Step Equations (Solving Two Step Equations Examples)
- Lesson 4: Solving Equations with Brackets (Expanding Brackets, Collecting Like Terms, General Steps for Solving Equations with Brackets)

*Unit 5 Assignment*

**Unit 6: Problem Solving**

- Lesson 1: Using Diagrams to Solve Problems (Drawing Diagrams Examples)
- Lesson 2: Finding Relationships (Finding Relationships Examples)
- Lesson 3: Organizing Information (3 Steps to Solving Problems, Organizing Information Examples)
- Lesson 4: Interpreting Results

*Unit 6 Assignment*

**Module 2 Test**

### MODULE 3: Space and Shape

**Unit 7: Measurement**

- Lesson 1: Pythagorean Theorem (Pythagoras and Right Triangles, Pythagorean Theorem and Triplets, Pythagorean Theorem Examples)
- Lesson 2: Perimeter and Areas of Quadrilaterals and Circles (Perimeter and Area, Formulas, Examples)
- Lesson 3: Areas of Composite Figures (Composite Figures Examples)
- Lesson 4: Volume of Solid Objects (Volume, Volume Formulas and Examples)
- Lesson 5: Surface Area and Volume of a Prism (Surface Area and Volume, Prisms, Nets, Volume Examples)
- Lesson 6: Surface Area and Volume of a Cylinder (Surface Area of a Cylinder, Volume of a Cylinder, Cylinder Examples)

*Unit 7 Assignment*

**Unit 8: Tessellations**

- Lesson 1: Drawing Tessellations (Regular Polygon Examples, Irregular Polygon Examples, Other Irregular Polygons, Semi-regular Tessellations)
- Lesson 2: Transformations of Tessellations (Transformation Review, Translating, Reflecting and Rotating Examples, Tessellations using Translations, Reflections, and Rotations, Tessellations Using a Combination)

*Unit 8 Assignment*

**Unit 9: 2D Shapes and 3D Objects**

- Lesson 1: Drawing 3D Objects Using Isometric Dot Paper (Isometric Dot Paper, Drawing 3D Images Examples)
- Lesson 2: 3D Rod Designs in 2D (3D Rod Designs, Slide View, Rotations, Drawing in 2D Example)

*Unit 9 Assignment*

**Module 3 Test**

### MODULE 4: Statistics and Probability

**Unit 10: Data Collection and Presentation**

- Lesson 1: Using Existing Data (Small Groups Representing a Large Population, Sample Space, Media, Data Example)
- Lesson 2: Methods of Data Collection (Strengths and Weaknesses, Personal Interviews, Paper Questionnaires, Telephone Interviews, Stages in Data Collection)
- Lesson 3: Displaying Data (Tallies, Stem and Leaf Charts, Line Plots, Bar and Line Graphs, Circle and Pictographs, Double Bar Graphs)

*Unit 10 Assignment*

**Unit 11: Data Representation**

- Lesson 1: Advantages and Disadvantages of Types of Graphs (Bar Graphs, Pictographs, Circle Graphs, Line Graphs)
- Lesson 2: Misrepresenting Data (Misrepresenting Data, Presenting Data Accurately, Distorting Visuals)

*Unit 11 Assignment*

**Unit 12: Probability**

- Lesson 1: Probability of an Independent Event (Probability Definitions, Experimental and Theoretical Probability, Probability Formula and Examples)
- Lesson 2: Probability of Two Independent Events (Probability Equation for Two Events, Two Event Probability Examples)

*Unit 12 Assignment*

**Module 4 Test**

### ASSESSMENT

- Numbers 50%
- Patterns & Relations 20%
- Shape & Space 20%
- Statistics & Probability 10%

**Required Resources:** a computer with internet access and headphones/speakers. A scientific or graphing calculator.