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Classroom Resources for Secondary Mathematics

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  • Elementary
    • Add
      • Navigate the Number Line
      • Add two numbers
      • Four Dice Game
      • Race to 100 and Zig Zag Numbers
    • Tell the Time
      • Skip Counting Fives
      • The Minute Hand
      • Hours and Minutes
    • Multiply
      • Multiply with the Number Line
      • Multiply with Dice
      • Multiply 2 to 9 Circle Sort
      • Target Practice
      • Three Numbers Arithmetic Game
  • Middle Plus
    • Drawing
      • Symmetry
      • Star Drawings: Multiples and Factors
      • Pentagram
      • Isometric Colouring
      • Cube Structures
    • Puzzles
    • Plot the Points
    • Exponents
      • Integer Exponents
        • Exponents Introduction
        • Exponents: Number Sense Activities
        • Exponent Laws
        • Exponents Project: Colour Wheel
        • Exponents Project: Solar System
  • Grade 10 FMP
    • 1. Algebra
      • Linear Expressions
      • Linear Equations
      • Project: Connect 4 Counters
    • 2. Trigonometry (G10)
      • Pythagoras’ Theorem
      • Introduction to Trigonometry
      • Visual Trig Values
      • Estimating Angles and Sides
      • SOH CAH TOA Finding a side
      • SOH CAH TOA finding an angle
      • Problem Solving
      • Right Angled Triangle Projects
    • 3. Factors and Products
      • Prime Factors
      • HCF and LCM
      • Review Integer Exponents
      • Factoring Expressions with Exponents
      • Polynomials
      • Multiplying Two Binomials
      • Factor Trinomial
      • Factor a trinomial with other leading coefficients
      • Star Drawings
    • 4. Arithmetic Sequences
      • Introduction to Sequences
      • Introduction to Arithmetic Sequences
      • The General Term Given the First Term and the Common Difference
      • The general term, given two terms
      • General Term Given Points on a Graph
      • Solving Equations
      • Project: Sequences of Circles, Line Segments, Polygons
    • 5. Relations and Functions
      • Relations and Functions Project: A Question of Time
      • Plot the Points
      • Functions and Function Notation
      • Domain and Range
      • Validity, Formula, Graph
      • Applied Linear Functions: A Question of Cost
    • 6. Linear Functions
      • Introduction
      • Project
      • Slope
      • Linear Function Equation
      • Miscellaneous
      • Linear Patterns
      • The form ax+by=c
    • 7. System of Two Equations Two Unknowns
      • Introduction to Systems of Equations
      • Solution by Graphing
      • Solution by Substitution
      • Solution by elimination
      • Project: Colliding Particles
    • 8. Course Exam Preparation
      • Unit 1 Review Solving Equations
      • Review Right Angled Triangles
      • Unit 3 Review Factors and Factoring
      • Unit 6 Review Linear Functions
      • Review Systems of Equations
  • Grade 11
    • Grade 11 Precalculus
      • Prerequisite math
      • 1. Finance
      • 2. Trigonometry (G11)
        • The Unit Circle
        • Exact Values of Trig Ratios
        • Trig Equations
      • 3. Number and Algebra
        • Number Classification
        • Integer Exponents
        • Simplify Expressions with Exponents
        • Rational Exponents
        • Surds
      • 4. Quadratic Functions and Equations
        • Introduction to Quadratic Functions
        • Graph a Parabola
        • Factor a quadratic expression
        • Solving quadratic equation with the quadratic formula
        • Completed Square Form
        • Solve Quadratic Equation by Completing the Square
        • The vertex
      • 5. Inequalities
      • 6. Math Project (G11 PC)
        • G11 Math Project: Proof
        • G11 Math Project: Art with Parabolic Arcs
  • Grade 12
    • Grade 12 FOM
      • Unit 1. Investing with Compound Interest
      • Unit 2. Set Theory and Logic
      • Unit 3. Counting and Probability
      • Unit 4. Polynomial, Exponential and Logarithm Functions
      • Unit 5. Sinusoidal Functions
        • 5.1 Periodic Data Examples
        • 5.2 The sine and cosine curves
        • 5.3 The Range of a Sinusoidal Function
        • 5.4 Sinusoidal Regression Project
        • 5.5 Four Shapes and the Period
    • Grade 12 Precalculus
      • 1: Sequences and Series
        • Arithmetic Sequences
        • Arithmetic Series
        • Geometric Sequences
        • Geometric Series
        • Sigma Notation
        • Sum to Infinity
        • Sequences of Points, Circles and Line Segments
      • 2. Polynomial and Rational Functions
        • Prerequisites
        • Polynomials Introduction
        • Factored Form and Factor Theorem
        • Polynomial Equations
        • Polynomial Project: Digital Flower Vase
      • 3. Transformations and Inverses
      • 4. Trigonometry (G12)
        • 12 Precalc Trigonometry Prerequisites
        • Periodic Data Examples
        • Sinusoidal Function Project
      • 5. Exponential and Logarithmic Functions

7. System of Two Equations Two Unknowns

This unit relies on a good background in solving equations and rearranging formula. You may wish to spend some time on 1. Algebra.

Pages

Introduction

Solving by Graphing

Solving by Substitution

Solving by Elimination and problem solving

Unit Review

Grade 10 Unit 7 Review Systems of Equations

Project

Colliding Particles

Desmos

Systems of Two Linear Equations

Racing Dots

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