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The Perfect Program

There are several reasons Explorer Math is the best program for your child

  • Learn at your own pace

  • Fun interactive lessons

  • Curriculum that grows with you

  • Spend only 15 minutes a day

Meets Curriculum expectations for

No matter what school system you follow, our program surpasses it

  • Explorer Hop meets Ontario curriculum requirements
  • Explorer Hop meets British curriculum requirements
  • Explorer Hop meets IB curriculum requirements
  • Explorer Hop meets Singapore curriculum requirements
  • Explorer Hop meets BC curriculum requirements

What you get in the Program

Our innovative program simulates a real trading environment

  • Easy to understand

    Our programs are for everyone. Lessons are simple and taught with a variety of learning styles in mind.

  • Engaging Discussions

    Have a question to ask or an idea that you want to share? Join a discussion zone, available in each chapter.

  • Real World Applications

    Build confidence in your new skills with a variety of hands-on activities, quizzes, projects and real life simulations

Course curriculum

  • 01

    Registration for Level 5 Math

    • Registration Information

    • Required Student Information

  • 03

    Chapter 1: Numbers

    • Lesson 1: Review: Ordering positive and negative integers, decimals and fractions

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Converting terminating and recurring decimals into their corresponding fractions and vice versa

    • Quiz: Lesson 2

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 2

    • Lesson 3: Using positive integer powers and associated real roots (square, cube and higher)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Express one quantity as a fraction of another (where the fraction is less than 1 or greater than 1)

    • Quiz: Lesson 4

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Interpret percentages as a fraction or a decimal

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Solving problems involving percentage change (Including percentage increase/decrease and original value problems)

    • Quiz: Lesson 6

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 6

    • Lesson 7: Using roots, integers, and fractional indices

    • Quiz: Lesson 7

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 7

    • Game Time! Put the images in the correct sequence

    • Lesson 8: Identify and work with fractions in ratio problems

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9 : Use ratio notation (including reduction to simplest form)

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Review: Express ratios and apply it to real contexts and problems (In the lesson you can use examples involving conversion, comparison, scaling, mixing, concentrations)

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Understand and use proportion as equality of ratios

    • Quiz: Lesson 11

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 11

    • Lesson 12: Understanding direct and inverse proportion (Including graphical and algebraic representations)

    • Quiz: Lesson 12

    • Game Time! Dialog Cards

    • Mini Challenge: Lesson 12

    • Worksheet: Lessons 9-12

  • 04

    Chapter 2: Exponents and Scientific Notation

    • Lesson 1: Review: Laws of Indices (Including positive, negative, zero, and fractional indices)

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Review: Exponent Rules/Index Rules including fractions and negatives

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Rational exponents (In the lesson include rewriting roots as rational exponents)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Lesson 4: Quotient of powers (rational exponents)

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Rewriting mixed radical and exponential expressions

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: Evaluating fractional exponents (negative unit-fraction and fractional base)

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Evaluating quotient of fractional exponents

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Evaluating mixed radicals and exponents

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Lesson 9: Rewriting exponential expressions as A⋅Bᵗ

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Equivalent forms of exponential expressions

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Solving exponential equations using properties of exponents

    • Quiz: Lesson 11

    • Game Time! Memory game

    • Game Time! Drag and Drop

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Worksheet: Lessons 5-11

  • 05

    Chapter 3: Operations, Rounding, Surds, Irrational Numbers

    • Lesson 1: Review: Rounding to the three significant figures and decimal places

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Applying operations to integers, decimals and fractions (proper and improper, negative and positive), and mixed numbers (positive and negative)

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Operations with powers with positive and negative exponents

    • Quiz: Lesson 3

    • Game Time! Drag and Drop

    • Mini Challenge: Lesson 3

    • Lesson 4: Using fractions, surds and multiples of π

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Lesson 5: Simplify surd expressions involving squares and rationalise denominators

    • Quiz: Lesson 5

      FREE PREVIEW
    • Game Time! Question set

    • Mini Challenge: Lesson 5

    • Worksheet: Lessons 1-5

  • 06

    Chapter 4: Sets

    • Lesson 1: Identifying number sets (In the lesson include rational, irrational, integer, natural, and real)

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Venn Diagrams: Number sets

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Venn Diagrams: Set notation

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Problem solving using sets

    • Quiz: Lesson 4

    • Game Time! Crossword

    • Game Time! Dialog Cards

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

  • 07

    Chapter 5: Algebra

    • Lesson 1: Defining terms: expressions, equations, formulae, identities, inequalities, terms and factors

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Complex numbers: introduction to imaginary numbers

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Imaginary unit i (In the lesson include powers of the imaginary unit, i as the principal root -1)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Classifying complex numbers

    • Quiz: Lesson 4

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Adding and subtracting complex numbers

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Multiplying complex numbers

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: The complex plane (plotting numbers on the complex plane)

    • Quiz: Lesson 7

    • Game Time! Drag and drop

    • Game Time! Find the right complex number

    • Mini Challenge: Lesson 7

    • Lesson 8: Substitute numerical values into formulae and expressions, including scientific formulae

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions)

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Lesson 10: Addition and subtraction of algebraic fractions with linear or quadratic denominator

    • Quiz: Lesson 10

    • Game Time! Drag and Drop

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

    • Lesson 11: Intro to polynomials (parts of polynomial expressions)

    • Quiz: Lesson 11

    • Game Time! Is It a Polynomial?

    • Mini Challenge: Lesson 11

    • Lesson 12: Average rate of change of polynomials (finding average rate of change, sign of average rate of change)

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lessons 9-12

    • Lesson 13: Adding and subtracting polynomials

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: Multiplying monomials by polynomials

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Multiplying binomials by polynomials

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Lesson 16: Multiplying trinomials by polynomials

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Worksheet: Lessons 13-16

    • Lesson 17: Connecting the product of binomials with an area model

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Lesson 18: Special products of polynomials (difference of squares, perfect square)

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Lesson 19: Dividing polynomials by x (without and with remainders)

    • Quiz: Lesson 19

    • Mini Challenge: Lesson 19

    • Lesson 20: Dividing quadratics by linear expressions (without and with remainders, don’t need to add any details about quadratic or linear functions/graphs since that’s coming up later)

    • Quiz: Lesson 20

    • Mini Challenge: Lesson 20

    • Worksheet: Lessons 17-20

    • Lesson 21: Dividing polynomials by linear expressions

    • Quiz: Lesson 21

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 21

    • Lesson 22: Polynomial remainder theorem (finding remainders from equation)

    • Quiz: Lesson 22

    • Mini Challenge: Lesson 22

    • Lesson 23: Remainder theorem: checking factors, finding coefficients

    • Quiz: Lesson 23

    • Game Time! Drag and drop

    • Game Time! Find the factors

    • Mini Challenge: Lesson 23

    • Lesson 25: Changing the subject of a formula

    • Quiz: Lesson 25

    • Mini Challenge: Lesson 25

    • Lesson 26: Finding the value of an unknown quantity in a given formula

    • Quiz: Lesson 26

    • Game Time! Drag and Drop

    • Game Time! Flip and Learn

    • Mini Challenge: Lesson 26

    • Worksheet: Lessons 21-16

  • 08

    Chapter 6: Sequences and Series

    • Lesson 1: Review: Arithmetic Sequences

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Review: Fibonacci Sequence

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Mini Challenge: Lesson 2 (Part 2)

    • Lesson 3: Predicting the next term of a sequence (linear, triangular, fibonacci)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Lesson 4: Generate terms of a sequence from either a term-to-term or a position-to term rule (use trickier examples compared to the last level)

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Lesson 5: Formulate an algebraic formula to describe an Arithmetic and Geometric Sequence in terms of Un

    • Quiz: Lesson 5

    • Game Time! Question set

    • Mini Challenge: Lesson 5

    • Worksheet: Lessons 1-5

    • Lesson 6: Solve for missing terms in an arithmetic or geometric sequence

    • Quiz: Lesson 6

    • Game Time! True or false

    • Mini Challenge: Lesson 6

    • Lesson 7: Deduce expressions to calculate the nth term of linear and quadratic sequences

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Arithmetic series

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Lesson 9: Geometric Series

    • Quiz: Lesson 9

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 9

    • Game Time! Memory Game

    • Worksheet: Lessons 6-9

  • 09

    Chapter 7: Vectors

    • Lesson 1: Describing translations as 2D vectors

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Addition of vectors (by scalar, diagram and column representations of vectors)

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Subtraction of vectors

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Multiplication of vectors (by scalar, diagram and column representations of vectors)

    • Quiz: Lesson 4

    • Game Time! Memory Game

    • Game Time! Drag and Drop

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

  • 10

    Chapter 8: Functions - General

    • Lesson 1: Definition of ‘relation’ and ‘function’

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Function Notation

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Different types of functions: Square root function and cube root function (brief overview)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Lesson 4: Different types of functions: Absolute value function – recognize and be able to graph

    • Quiz: Lesson 4 & 5

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Vertical and Horizontal Asymptotes

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: End Behaviour and Discontinuities of Rational Function

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Lesson 7: Symmetry and Reflection of Functions

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Domain and Range

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Lesson 9: Calculate the points of intersections between different functions using the GDC

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 5-9

    • Lesson 10: Shifting Functions – Vertical and Horizontal Transformations

    • Quiz: Lesson 10

    • Game Time! Flip and learn

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

    • Worksheet: Lesson 10-13

    • Lesson 11: Stretching Functions (functions in general, use diff graphs as examples)

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Lesson 13: The equation of a circle

    • Quiz: Lesson 12 & 13

    • Game Time! Crossword

    • Game Time! Drag and Drop

    • Mini Challenge: Lesson 12 & 13

  • 11

    Chapter 9: Linear Systems and Relations

    • Lesson 1: Slope- Positive, Negative, Zero, and Undefined

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Point-Slope and Slope-Intercept form

    • Quiz: Lesson 2

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 2

    • Lesson 3: Plotting a linear graph from an equation

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Finding an equation from a linear graph

    • Quiz: Lesson 4

    • Game Time! Find the right graph

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Parallel and Perpendicular lines (properties, characteristics, examples)

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Equations of Horizontal and Vertical Lines

    • Quiz: Lesson 6

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 6

    • Lesson 7: Putting it all together: From table of values to linear function to linear equation (or whatever order you think is best in the video)

    • Quiz: Lesson 7

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 7

    • Lesson 8: Describing transformed linear equations

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Finding POI

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Review: Solving linear systems using substitution

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Review: Solving linear systems using elimination

    • Quiz: Lesson 11

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 11

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Lesson 13: Solving and graphing linear equalities and represent the solution on a number line and using set notation

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Worksheet: Lessons 9-13

    • Mini Challenge: Lesson 14

    • Game Time! Crossword

    • Lesson 14: Solving problems in situational contexts (application/real-world word problems)

    • Mini Challenge: Lesson 14

    • Game Time! Dialog Cards

  • 12

    Chapter 10: Expanding and Factoring

    • Lesson 1: Different factoring methods

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 1b): Different factoring methods when coefficient is not 1

    • Worksheet: Lesson 1b

    • Lesson 2: Expressing prime factorization of a number using powers

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Identifying the factors of a number (Including greatest common factor (GCF) and least common multiple (LCM). Using factor trees and factor pairs)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Factoring monomials

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Greatest common factor of monomials

    • Quiz: Lesson 5

    • Game Time! Find the GCF

    • Mini Challenge: Lesson 5

    • Lesson 6: Taking common factor from binomial and trinomial

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Factoring higher degree polynomials

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Factorization with substitution (and explain why)

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Lesson 9: Factor polynomials - perfect squares

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Worksheet: Lessons 5-9

    • Lesson 10: Factoring - difference of squares

    • Quiz: Lesson 10

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

    • Lesson 11: Expand and simplify second-degree polynomial expressions

    • Quiz: Lesson 11

    • Game Time! Drag and Drop

    • Mini Challenge: Lesson 11

    • Lesson 12: Factorisation of linear expressions of the form ax + bx + kay + kby

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Lesson 13: Solving fractional equations that can be reduced to quadratic equations

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Worksheet: Lesson 13

    • Lesson 14: Formulating a quadratic equation in one variable to solve problems

    • Quiz: Lesson 14

    • Game Time! Drag and Drop

    • Mini Challenge: Lesson 14

    • Worksheet: Lessons 10-14

  • 13

    Chapter 11: Quadratic Functions

    • Lesson 1: Review - What is a quadratic relation? (parabola, constant second differences, x^2)

    • Quiz: Lesson 1

    • Game Time! Flip and learn

    • Mini Challenge: Lesson 1

    • Lesson 2: Review: Identify key characteristics of the graph of a quadratic function ( x intercepts/roots/zeroes, vertex/turning point/max/min, axis of symmetry). NOTE: please use ‘turning point’ as a term as well, since that is what they call it in Singap

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: ax^2 + bx + c. What does standard form tell us? What key features can we identify?

    • Quiz: Lesson 3

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 3

    • Lesson 4: Factorised form – what key features can we identify from the equation? (ex finding the roots on the graph)

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 1-4

    • Lesson 5: Vertex form – what key features can we identify from the equation? (ex identifying the vertex of a parabola)

    • Quiz: Lesson 5

    • Game Time! Find the right graph

    • Game Time! Find the axis of symmetry

    • Mini Challenge: Lesson 5

    • Lesson 6: Graphing quadratics on a cartesian plane, from an equation and/or from a table of values

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Quadratic Function Translations (show several examples and be able to describe the transformed graph)

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Quadratic Function Reflections (show several examples and be able to describe the transformed graph)

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Quadratic Function Stretches and Compressions (show several examples and be able to describe the transformed graph)

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Lesson 10: Identify translations using vector column notation

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 10B: Describing transformations with mapping notation

    • Game Time! Put the graphs in the correct order

    • Lesson 11: Describing the relationship between the algebraic and graphical representations of a quadratic equation (comparing equation with graph)

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12: Review: Solving quadratic equations (review factoring [standard form to vertex form], and then show how the answers are the roots/x intercepts on the graph)

    • Quiz: Lesson 12

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 12

    • Worksheet: Lesson 9-12

    • Lesson 13: Review: Converting from vertex form to standard form

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: Review: Converting from standard for to vertex form; completing the square

    • Quiz: Lesson 14

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 14

    • Lesson 15: What is a discriminant and what is it used for?

    • Quiz: Lesson 15

    • Lesson 16: Using the discriminant to determine the nature of roots and to solve for missing values

    • Mini Challenge: Lesson 15 & 16

    • Worksheet: Lessons 13-16

    • Lesson 17: Solve quadratic equations using the quadratic formula (review of lesson from earlier, but focus on the parabola and graph and what it means to find the roots)

    • Quiz: Lesson 17

    • Game Time! Solve the quadratic equation

    • Mini Challenge: Lesson 17

    • Lesson 18A: Solve two simultaneous equations in two variables (linear/quadratic) algebraically; find approximate solutions using a graph

    • Lesson 18: Solve quadratic inequalities in one variable; represent the solution set on a number line, using set notation, AND on a graph (can split this lesson up if too much!)

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Quiz: Lesson 18 (Part 2)

    • Game Time! Solve the inequality

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 18 (Part 2)

    • Worksheet: Lesson 18

    • Lesson 19: Contextualizing Quadratics: Word problems, what do roots and max/min mean in real life? (tossing a ball, etc.)

    • Quiz: Lesson 19

    • Mini Challenge: Lesson 19

    • Lesson 20: Relate quadratics to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration (use more complicated examples than the last level)

    • Quiz: Lesson 20

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 20

    • Game Time! Drag and Drop

    • Worksheet: Lessons 17-20

  • 14

    Chapter 12: Exponential Functions

    • Lesson 1: Compare the features of the graph y = x² and y = 2x

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2 and 3: Exponential functions

    • Quiz: Lesson 2

    • Quiz: Lesson 2 (Part 2)

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Describing transformed exponential functions

    • Quiz: Lesson 4

    • Game Time! Question set

    • Game Time! Find the right equation

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Growth and decay problems

    • Quiz: Lesson 5

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 5

    • Lesson 6: Introduction to logarithms

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Lesson 7: Constant e and the natural logarithm

    • Quiz: Lesson 7

    • Game Time! Question set

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Properties of logarithms

    • Quiz: Lesson 8

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 8

    • Game Time! Flip and Learn

    • Worksheet: Lessons 5-8

    • Mini Challenge: Lesson 9

    • Mini Challenge: Lesson 10

  • 15

    Chapter 13: Trigonometry

    • Lesson 1: Determine the missing sides of a triangle using Pythagorean Theorem

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Primary Trigonometric Ratios: Sine

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Primary Trigonometric Ratios: Using Sine & Cosine

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Lesson 4: Primary Trigonometric Ratios: Tangent

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Word Problems with Primary Trig Ratios (ladder against a wall, accessibility ramp)

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: Use of the formula 1 sin 2 ab C for the area of a triangle

    • Quiz: Lesson 6

    • Game Time! Select the correct triangle

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Lesson 7: Inverse trigonometric ratios

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 7B: Word Problems with Trig Ratios involving indirect measurement (double triangles, trickier word problems)

    • Quiz: Lesson 7 (Part 2)

    • Worksheet: Lesson 7B

    • Lesson 8: Sine Law

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Lesson 9: Cosine Law

    • Quiz: Lesson 9

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Worksheet: Lessons 5-9

    • Lesson 10: Problems in two dimensions (including those involving angles of elevation and depression)

    • Quiz: Lesson 10

    • Game Time! Drag and drop

    • Game Time! Solve the 2D Problem

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

    • Lesson 11: Problems in three dimensions including those involving angles of elevation and depression and bearings

    • Quiz: Lesson 11

    • Game Time! Solve the 3D Problem

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Lesson 12: Unit circle introduction

    • Quiz: Lesson 12

    • Game Time! Dialog Cards

    • Mini Challenge: Lesson 12

    • Worksheet: Lesson 12

    • Lesson 13: Degrees vs. Radians

    • Quiz: Lesson 13

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 13

    • Worksheet: Lesson 13

    • Lesson 14: Trigonometric Values of special angles (30, 45, 60, 90 degrees)

    • Quiz: Lesson 14

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 14

    • Worksheet: Lesson 14

    • Worksheet: Lessons 10-14

    • Lesson 15: Graphs of sine and cosine

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Worksheet: Lesson 15

    • Lesson 16: Graph of tangent

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Worksheet: Lesson 16

    • Lesson 17: Graphing sine functions with transformations - stretches and compressions

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Worksheet: Lesson 17

    • Lesson 18: Graphing sine functions with transformations - translations and cosine

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Worksheet: Lesson 18

    • Worksheet: Lessons 15-18

    • Lesson 19: Amplitude and midline (what they are and how to calculate)

    • Quiz: Lesson 19

    • Mini Challenge: Lesson 19

    • Worksheet: Lesson 19

    • Lesson 20: Domain and Range

    • Quiz: Lesson 20

    • Mini Challenge: Lesson 20

    • Worksheet: Lesson 20

    • Lesson 21: Frequency, Cycle, and Period (what they are and how to calculate)

    • Quiz: Lesson 21

    • Game Time! Fill in the blanks

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 21

    • Worksheet: Lesson 21

    • Lesson 22: Sinusoidal models

    • Quiz: Lesson 22

    • Game Time! CHALLENGE: Find all correct equations

    • Mini Challenge: Lesson 22

    • Game Time! Flip and Learn

    • Worksheet: Lesson 22

    • Worksheet: Lessons 19-22

  • 16

    Chapter 14: Probability

    • Lesson 1: Systematic listing strategies

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Create a tree diagram to display the sample space

    • Quiz: Lesson 2

    • Game Time! Find the right sample space

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 2

    • Quiz: Lesson 4

    • Lesson 3: Review: Calculate probabilities with replacement

    • Mini Challenge: Lesson 3

    • Worksheet: Lessons 1-3

    • Lesson 4: Review: Calculate probabilities without replacement

    • Quiz: Lesson 4

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 4

    • Lesson 5: Calculate the probabilities of independent events

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Calculate the probabilities of mutually exclusive events

    • Quiz: Lesson 6

    • Game Time! Find all pairs of independent events

    • Game Time! Find all pairs of mutually exclusive events

    • Mini Challenge: Lesson 6

    • Lesson 7: Calculate the probabilities of combined events

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lessons 4-7

    • Lesson 8: Calculate and interpret conditional probabilities

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Lesson 9: Addition and multiplication of probabilities

    • Quiz: Lesson 9

    • Game Time! Fill in the blanks

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 9

    • Lesson 10: Record, describe and analyze the frequency of outcomes of probability experiments (In the lesson use tables and frequency trees)

    • Quiz: Lesson 10

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 10

    • Lesson 11: Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Worksheet: Lessons 8-11

    • Lesson 12: Relating relative expected frequencies to theoretical probability

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Lesson 13: Apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one

    • Quiz: Lesson 13

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 13

    • Lesson 14: Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Mini Challenge: Lesson 16

    • Lesson 15: Construct “probability spaces” for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities

    • Quiz: Lesson 15

    • Game Time! Find the correct probability function

    • Mini Challenge: Lesson 15

    • Game Time! Drag and drop

    • Game Time! Flip and Learn

    • Worksheet: Lessons 12-15

  • 17

    Chapter 15: Financial Literacy

    • Lesson 1: Review: Currency Conversion

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Real world example!

    • Lesson 2: Financial Application: Ratios and percentage increase, decrease and change

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Review time!

    • Lesson 3: Gross and net pay

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Game time! Crossword

    • Lesson 4: Types of income tax and other deductions

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Game time! Matching game

    • Game Time! Dialog Cards

    • Game Time! Fill in the Blanks

    • Worksheet: Lessons 1-4

  • 18

    Chapter 16: Data Literacy and Statistics

    • Lesson 1: The difference between continuous and discrete data

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Interpreting and constructing diagrams for grouped discrete data

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Interpreting and constructing diagrams for continuous data

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Analysing and interpreting box-and-whisker plots

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Graphing and interpreting cumulative frequency curves

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Calculating the Q1, median, Q3 and IQR from a Cumulative frequency curve

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Quartiles and percentiles

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Finding the mean, mode, median, range, lower quartile (LQ), upper quartile (UQ) and interquartile (IQR) manually for list, frequency and grouped data

    • Quiz: Lesson 8

    • Game Time! Find the Mean, Median, and Mode

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Finding the mean, mode, median, range, lower quartile (LQ), upper quartile (UQ) and interquartile (IQR) using a GDC for list, frequency and grouped data

    • Worksheet: Lesson 9

    • Lesson 10: Calculating the standard deviation for a set of data (Include grouped and ungrouped data)

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Using the mean and standard deviation to compare two sets of data

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12: Identifying one or two variable data from a table of values

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lessons 9-12

    • Lesson 13: Displaying two variable data on a scatter plot by hand and using GDC

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: Line of best fit (In the lesson draw the line of best fit through mean. Find equation of line of best fit with y=mx+c)

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Correlation coefficient

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Lesson 16: Finding the line of regression using a GDC

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Worksheet: Lessons 13-16

    • Lesson 17: Predicting points using the line of best fit (interpolation and extrapolation)

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Lesson 18: Correlation vs. Causation

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Lesson 19: Purposes and uses, advantages and disadvantages of different statistical representations

    • Quiz: Lesson 19

    • Mini Challenge: Lesson 19

    • Lesson 20: Limitations of sampling

    • Quiz: Lesson 20

    • Mini Challenge: Lesson 20

    • Lesson 21: Inferring properties of populations or distributions from a sample

    • Quiz: Lesson 21

    • Game Time! Flip and Learn

    • Game Time! Drag The Words

    • Game Time! Image Hotspots

    • Game Time! Image Hotspots

    • Mini Challenge: Lesson 21

    • Data Literacy and Statistics 17-21 - New

  • 19

    Chapter 17: Geometric Properties and Constructions

    • Lesson 1: Review: Points, lines, vertices, edges, planes, parallel lines, perpendicular lines

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Review: Right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries

    • Quiz: Lesson 2

    • Game Time! Flip and Learn

    • Mini Challenge: Lesson 2

    • Lesson 3: Standard ruler and compass constructions (In the lesson include perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Using the standard ruler and compass constructions to construct given figures and solve loci problems (In the lesson include that the perpendicular distance from a point to a line is the shortest distance to the line)

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Applying the properties of angles at a point, angles at a point on a straight line, and vertically opposite angles

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Understand and use alternate and corresponding angles on parallel lines

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Using sum of angles in a triangle

    • Quiz: Lesson 7

    • Game Time! Find the missing values

    • Mini Challenge: Lesson 7

    • Lesson 8: Applying the properties of quadrilaterals (Include square, rectangle, parallelogram, trapezium, kite and rhombus, triangles, other plane figures)

    • Quiz: Lesson 8

    • Game Time! Dialog Cards

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Review: Basic congruence criteria for triangles (SSS, SAS, ASA, RHS)

    • Quiz: Lesson 9

    • Game Time! Memory Game: Find all pairs of congruent triangles

    • Mini Challenge: Lesson 9

    • Lesson 10: Identify, describe and construct congruent and similar shapes (In the lesson, include coordinate axes and consider rotation, reflection, reflection, translation, and enlargement)

    • Quiz: Lesson 10

    • Game Time! Find congruent and similar shapes

    • Mini Challenge: Lesson 10

    • Lesson 11: Describing the changes and invariance achieved by combinations of rotations, reflections, and translations

    • Quiz: Lesson 11

    • Lesson 12: Solving simple problems involving congruence and similarity

    • Quiz: Lesson 12

    • Game Time! Find the missing side lengths

    • Mini Challenge: Lesson 12

    • Lesson 13: Scale drawings: enlarging and reducing plane figures

    • Quiz: Lesson 13

    • Game Time! Flip and Learn

    • Mini Challenge: Lesson 13

    • Worksheet: Lessons 9-13

  • 20

    Chapter 18: Measurement

    • Lesson 14: Measure line segments and angles in geometric figures (In the lesson include interpreting maps and scale drawings and the use of bearings)

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Calculate perimeters of 2D shapes

    • Quiz: Lesson 15

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 15

    • Lesson 16: Review: Identify properties of faces, surfaces, edges, and vertices (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres)

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Lesson 17: Construct and interpret plans and elevations of 3D shapes

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Worksheet: Lessons 14-17

    • Lesson 18: Area of triangles, parallelograms, trapezoid, composite shapes

    • Quiz: Lesson 18

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 18

    • Lesson 19: Surface area of spheres, pyramids, cones, cylinders, cuboids and other right prisms

    • Quiz: Lesson 19

    • Game Time! Memory Game

    • Mini Challenge: Lesson 19

    • Lesson 20: Volume of spheres, pyramids, cones, cylinders, cuboids and other right prisms

    • Quiz: Lesson 20

    • Game Time! Find the right shapes

    • Mini Challenge: Lesson 20

    • Lesson 21: Applying the concepts of congruence and similarity (including the relationships between lengths, areas and volumes in similar figures)

    • Quiz: Lesson 21

    • Mini Challenge: Lesson 21

    • Game Time! Flip and Learn

    • Game Time! Drag the Words

    • Game Time! Image Hotpsots

    • Game Time! Guess the Answer

    • Worksheet: Lessons 18-21

  • 21

    Chapter 19: Coordinate Geometry

    • Lesson 22: Finding the gradient of a straight line given the coordinates of two points on it

    • Quiz: Lesson 22

    • Mini Challenge: Lesson 22

    • Lesson 23: Finding the length of a line segment and the midpoint given the coordinates of its end points

    • Quiz: Lesson 23

    • Mini Challenge: Lesson 23

    • Lesson 24A: Interpreting and finding the equation of a straight line in the form of y=mx+b

    • Quiz: Lesson 24

    • Mini Challenge: Lesson 24

    • Lesson 24B: Slopes of parallel and perpendicular lines

    • Game Time! Drag and Drop

    • Game Time! Guess the Answer

    • Worksheet: Lessons 22-24

  • 22

    Chapter 20: Circles

    • Lesson 25: Circle definitions and properties (In the lesson include centre, radius, chord, diameter, circumference, tangent, arc, sector, and segment)

    • Quiz: Lesson 25

    • Game Time! Memory Game

    • Mini Challenge: Lesson 25

    • Lesson 25: The equation of a circle

    • Game Time! Find the right circle

    • Lesson 26: Symmetry properties of circles

    • Quiz: Lesson 26

    • Mini Challenge: Lesson 26

    • Lesson 27: Circumference of a circle

    • Quiz: Lesson 27 & 28

    • Game Time! Drag and drop

    • Game Time! Find the right circle

    • Mini Challenge: Lesson 27

    • Lesson 28: Calculate arc lengths and angles

    • Game Time! Fill in the blanks

    • Mini Challenge: Lesson 28

    • Lesson 29: Angle properties of circles

    • Quiz: Lesson 29

    • Mini Challenge: Lesson 29

    • Worksheet: Lessons 25-29

    • Lesson 30: Calculate the area of sectors of circles

    • Quiz: Lesson 30

    • Game Time! Find the areas

    • Mini Challenge: Lesson 30

    • Lesson 31: Using radian measure of angle (including conversion between radians and degrees)

    • Quiz: Lesson 31 & 32

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 31

    • Lesson 32: Problem Solving with Angles

    • Worksheet: Lessons 30-32

    • Quiz: Lesson 33

    • Mini Challenge: Lesson 33

    • Quiz: Lesson 34

    • Mini Challenge: Lesson 34

This Course Includes

  • Interactive Video Lessons

  • Quizzes and Assignments

  • Downloadable Resources

  • Full Lifetime Access

  • Certificate of completion

Requirements

  • A Stable Internet Connection

  • A Desire to Learn Math

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Frequently Asked Questions

Here are answers to some common questions we are asked

  • What grade is this level for?

    This level is designed for kids ages 11-12 in Grades 6 and 7.

  • How is this course taught?

    These (virtual) programs are designed to be completely self learnt. Students progress through the curriculum using a variety of real world applications that simulate experience, utilize creative thinking, and allow the students to test their knowledge.

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    You will receive an e-mail as soon as you connect, providing you with a pin and password to access the learning portal. Please keep this information safe. If you need support, you can email hello@explorerhop.com.

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