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.

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