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Course curriculum

  • 01

    Registration

    • Required Student Information

  • 03

    Chapter 1: Numbers

    • Lesson 1: Exploring and comparing large numbers

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Exploring and comparing very small numbers

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Multiply and divide numbers by powers of 10

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Negative index laws

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Exploring and comparing large numbers using scientific notation

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Exploring and comparing very small numbers using scientific notation

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Rounding to significant figures

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Describe, compare, and order rational numbers

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Lesson 9: Describe irrational numbers

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Worksheet: Lessons 5-9

    • Lesson 10: Square Roots

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Cube Roots

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12A: Fractional Indices Part 1

    • Quiz: Lesson 12A

    • Mini Challenge: Lesson 12 A

    • Lesson 12B: Fractional Indices Part 2

    • Quiz: Lesson 12B

    • Mini Challenge: Lesson 12b

    • Worksheet: Lessons 10-12B

    • Lesson 13: Factorizations and index form

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: Unique Factorization Theorem

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Variable Subscripts

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Lesson 16: Summation Notation

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Lesson 17: Product Notation

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Worksheet: Lessons 13-17

  • 04

    Chapter 2: Fractions, Decimals, and Percentages

    • Lesson 1: Direct Proportion

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Inverse Proportion

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Comparing and ordering fractions

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Adding fractions with unlike denominators

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Lesson 5: Subtracting fractions with unlike denominators

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lessons 1-5

    • Lesson 6: Multiplying fractions with fractions

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Dividing fractions with fractions

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Multiplying and dividing fractions with whole numbers

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Lesson 9: Multiplying and dividing fractions with mixed numbers

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Relate terminating decimals to their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8)

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Worksheet: Lessons 6-10

    • Lesson 11: Interchange between fractions and decimals to solve a variety of problems

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12: Express the division of quantity into two parts as a ratio

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Lesson 13: Apply ratios to real-life contexts: conversion, comparison, scaling

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Worksheet: Lesson 13

    • Lesson 14: Map scales: finding distance (unknown value) using ratios and proportions

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Worksheet: Lesson 14

    • Lesson 15: Apply ratios to real life contexts: mixing and concentrations

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Worksheet: Lessons 11-15

    • Lesson 16: Three term ratios

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Lesson 17: Relating ratios to fractions

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Lesson 18: Relating ratios to linear functions

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Lesson 19: Use compound units, such as speed, rates of pay, unit pricing

    • Quiz: Lesson 19

    • Mini Challenge: Lesson 19

    • Worksheet: Lesson 19

    • Lesson 20: Calculate percentage increase

    • Quiz: Lesson 20

    • Mini Challenge: Lesson 20

    • Worksheet: Lessons 16-20

    • Lesson 21: Calculate percentage decrease

    • Quiz: Lesson 21

    • Mini Challenge: Lesson 21

    • Lesson 22: Find the original value given percentage increase and decrease

    • Quiz: Lesson 22

    • Mini Challenge: Lesson 22

    • Lesson 23: Find the final value given percentage increase and decrease

    • Quiz: Lesson 23

    • Mini Challenge: Lesson 23

    • Worksheet: Lessons 21-23

  • 05

    Chapter 3: Order of Operations

    • Lesson 1: Order of Operations: BEDMAS, simple

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Order of Operations: BEDMAS, multi-step with roots and powers

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Order of Operations, BEDMAS, with fractions and decimals

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lessons 1-3

  • 06

    Chapter 4: Patterning

    • Lesson 1: Growing Patterns

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Shrinking Patterns

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Determine pattern rules and use them to extend patterns and find missing numbers within a pattern

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Identify geometric patterns and describe them using an algebraic rule

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 1-4

    • Lesson 5: Term to Term rules

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Position to term rule

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Identify the pattern and the missing element in a pattern involving negatives

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Identify the pattern and the missing element in a pattern involving fractions

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

  • 07

    Chapter 5: Algebra

    • Lesson 1: Interpret notations: ab as a x b, a2 as a x a, and a3 as a x a x a and a²b in place of a × a × b

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Interpret notations: 3y as y + y + y,

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Interpret notations: 3 (x+y) is 3 times (x+y)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Add and subtract monomials with a degree of one that involve integers

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Add and subtract binomials with a degree of one that involve integers

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: What is an equation?

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Solving equations with unknowns on both sides

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Rearrange formulae to change the subject

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Solve equations that involve multiple terms, integers, and decimal number

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Solving multiplication algebraic equations with fractions

    • Quiz: Lesson 10

    • Lesson 11: Solving division algebraic equations with fractions

    • Mini Challenge: Lesson 10

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12: What is an inequality?

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Lesson 13: Solve inequalities that involve integers and show on a number line

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Worksheet: Lessons 9-13

    • Lesson 14: Solve inequalities and verify and graph the solutions

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Substitution including negatives

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Lesson 16: Substitution including decimals

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Lesson 17: Apply Index Laws to algebraic expressions

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Worksheet: Lessons 14-17

  • 08

    Chapter 6: Linear Algebra

    • Lesson 1: Linear Patterns: Constant Rates and Initial Value

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Find and create algebraic expressions for linear growing patterns

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Find the nth term of a linear sequence

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Factorization of linear expressions

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Solve linear equations with the unknown on both sides of the equation

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: Use coordinate planes to plot straight line graphs

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Find the slope of lines on a graph

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Exploring intercepts of lines

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Find the equation of a line

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Sketch and interpret linear functions

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

    • Lesson 11: Create linear equations from word problems

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Lesson 12: Solving linear systems: What is it and how to approximate the solution using a graph

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lessons 9-12

    • Lesson 13: Solving linear systems: Substitution

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: Solving linear systems: Elimination

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Finding the midpoint between two points

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Worksheet: Lesson 15

    • Lesson 16: Finding the distance between two points

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Worksheet: Lesson 16

    • Worksheet: Lessons 13-16

  • 09

    Chapter 7: Quadratic Functions

    • Lesson 1: Degree of Algebraic Expressions

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Recognizing quadratic functions

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: The standard quadratic form y = ax2 + bx + c

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Lesson 4: Graphs of quadratic functions - Positive or negative coefficient of 𝑥2

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Lesson 5: Graphs of quadratic functions - Maximum and minimum points of graphs of quadratic functions

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: Graphs of quadratic functions - Symmetry and axis of symmetry

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Worksheet: Lessons 1-6

  • 10

    Chapter 8: Expanding and Factoring

    • Lesson 1: Perfect squares (𝑎 +𝑏) 2 = 𝑎 2 +2𝑎𝑏 + 𝑏 2

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: (𝑎 −𝑏) 2 = 𝑎 2 −2𝑎𝑏 + 𝑏 2

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Difference of squares 𝑎 2 −𝑏 2 = (𝑎 + 𝑏)(𝑎 −𝑏)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Understand and use the concepts and vocabulary of factors

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Simplify and manipulate algebraic expressions by taking out common factors

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: Factorization of quadratic expressions - binomials

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Lesson 7: Factorization of quadratic expressions - trinomials (coefficient of the highest term is 1)

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Factoring binomial special cases (difference of squares, perfect square)

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Worksheet: Lessons 5-8

  • 11

    Chapter 9: Probability

    • Lesson 1: Probability as a measure of chance

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Decide whether something is fair or unfair (spinner in a game, for example)

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Explore ideas of randomness, fairness and equally likely events

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Probability of a single event (listing all the possible outcomes)

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Apply the property that the probabilities of an exhaustive set of outcomes sum to one

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Theoretical and Experimental Probabilities

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lessons 5-6

    • Lesson 7: Record, describe, and analyze the frequency of outcomes of probability experiments using tables

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Record, describe, and analyze the frequency of outcomes of probability experiments using frequency trees/tree diagrams

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Lesson 9: Solving Probability problems using Venn diagrams

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Create two-way tables to display the sample space for two events

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Worksheet: Lessons 7-10

    • Lesson 11: Dependent events

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12: Independent events

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Lesson 13: Multiplying probabilities (rolling a 5 on a fair die and flipping a head on a fair coin is 1/6 x ½ = 1/12 )

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: Comparing theoretical and experimental probabilities of multiple independent events happening

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Worksheet: Lessons 11-14

    • Lesson 15: Comparing theoretical and experimental probabilities of multiple dependent events happening

    • Quiz: Lesson 15

    • Mini Project: Lesson 15

    • Lesson 16: Construct “probability spaces” for combined experiments with likely outcomes and use these to calculate theoretical probabilities

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Lesson 17: Calculate probabilities with replacement

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Lesson 18: Calculate probabilities without replacement

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Worksheet: Lessons 15-18

  • 12

    Chapter 10: Financial Literacy

    • Lesson 1: Describe some advantages and disadvantages of various methods of payment that can be used

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Dealing with multiple currencies and Calculate currency conversion based on exchange rates

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Create a financial plan to reach a long-term financial goal (account for income, expenses, and tax implications)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Different ways to maintain a balanced budget

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Lesson 5: Appropriate tools to track all income and spending

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lessons 1-5

    • Lesson 6: Determine the growth of simple interest (I=prt) at various rates using digital tools

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Determine the growth of compound interest at various rates using digital tools

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Impact of interest on long-term financial planning

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Lesson 9: How consumers get more value for their money when spending

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Compare credit card companies and consumer contracts to determine the best value and the best choice

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Worksheet: Lessons 6-10

  • 13

    Chapter 11: Data Literacy

    • Lesson 1: Situations involving one-variable data (When is this type of data needed?)

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Mini Project: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Situations involving two-variable data (When is this type of data needed?)

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Collect continuous data involving two variables and organize the data sets a table of values

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Select the type of graph best suited to represent various sets of data

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Create an infographic about a data set

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: The purposes and use of mean, mode and median

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Find the measures of central tendency (mean, median, mode, and modal class) from univariate empirical distributions through graphs and tables

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lessons 5-7

    • Lesson 8: Find the measures of spread (range, including consideration of outliers) from univariate empirical distributions through graphs and tables

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Lesson 9: Analyze and interpret scatter diagrams

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Lesson 10: Plot two variable data on a scatter diagrams

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Correlation vs causation (with and without outliers)

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Worksheet: Lessons 8-11

    • Lesson 12: Determine and draw line of best fit through the mean point

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lesson 12

    • Lesson 13: Predict points using the line of best fit (interpolation and extrapolation)

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Worksheet: Lesson 13

    • Lesson 14: Analyze and interpret histograms

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Analyze and interpret stem and leaf diagrams

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Lesson 16: Analyse different sets of data (ideas include: ask and answering questions, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions for graphs, including misleading graphs)

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Worksheet: Lesson 16

    • Lesson 17: How data can be manipulated (show real life examples)

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Lesson 18: Apply statistics to describe a population

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Worksheet: Lessons 12-18

  • 14

    Chapter 12: Location and Movement

    • Lesson 1: Identify geometric properties of tessellating shapes

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Identify the transformations that occur in examples of tessellations

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Describe, perform, and predict translations on a Cartesian plane

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Describe, perform, and predict reflections on a Cartesian plane

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Lesson 5: Describe, perform, and predict rotations on a Cartesian plane

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Describe, perform, and predict dilations on a Cartesian plane

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lessons 1-6

  • 15

    Chapter 13: The Metric System

    • Lesson 1: Very large metric units - mega, giga, tera

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Very small metric units - micro, nano, pico

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Representing metric units using models, base ten relationships, and exponential notation

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lessons 1-3

  • 16

    Chapter 14: Lines and angles

    • Lesson 1: Similar and congruent figures

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Similar triangles (equal corresponding angles and proportional corresponding sides)

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Alternate and corresponding angles on parallel lines

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Derive and use the sum of angles in a triangle

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Problems involving angle properties (intersecting and parallel lines and of polygons)

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Angles of elevation and depression

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lessons 1-6

  • 17

    Chapter 15: Length, area, and volume

    • Lesson 1: Calculate the perimeter of 2D shapes and composite shapes

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Lesson 2: Circle definitions and properties (including: center, radius, chord, diameter, circumference)

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Circumference of a circle (2πr = πd)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Area of a circle (πr²)

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Calculate area of 2D shapes and composite shapes

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Calculate surface area of regular solids

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Calculate volume of regular solids

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Views and nets of 3D objects

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Using scales to make objects and models

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Calculate lengths and areas using scale drawing

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Reproduce scale drawings at different ratios

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12: History behind the Pythagoras and the Pythagorean Theorem

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lessons 9-12

    • Lesson 13: Determining whether a triangle is right-angled given the lengths of three sides

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: 3D problems involving the Pythagorean Theorem

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: What is trigonometry? (Understand sine, cosine and tangent ratios)

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Lesson 16: Calculate unknown sides in right-angled triangles using one of the three trigonometric ratios (sine, cosine and tangent)

    • Quiz: Lesson 16

    • Mini Challenge: Lesson 16

    • Lesson 17: Calculate the size of an angle in right-angled triangles using one of the three trigonometric ratios (sine, cosine and tangent)

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Lesson 18: Compare lengths, areas and volumes using ratio notation

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Worksheet: Lessons 13-18

Enroll Today & Ace Math!

Our Reviews

“We used this program over summer and it is excellent for kids.”

Ottawa, ON

Ileana (mom of Troy)

“Amazing program. It's so easy to understand and I learned so much more!”

Boston, MA

Sandra (Grade 12)

“Explorer Math made SO MUCH SENSE! My grades are back up!”

Toronto, ON

Mathilda (Grade 12, IB Diploma)

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.

  • Is there any in-person teaching?

    Our programs have been designed to be completely self learn. No personal instruction is included at this time. We also do not think it is necessary to add personal instruction or tutors to our program.

  • How will I get feedback on my projects?

    Within 1 business day after you submit your project your will get 2 notifications. The first notification will let you know if your project has been approved, or not approved. The second notification will be an email from our team of instructors giving you comments on the project.

  • Who checks my worksheet?

    Worksheets are provided with the answer key. They range from easy to intermediate to hard questions and are designed for you to be able to complete it on your own.

  • Can you explain your currriculum?

    It doesn't matter what curriculum you followed, we have surpassed it! Our program includes all aspects of the following curriculums: Canada (Ontario & BC), British Curriculum, International Baccalaureate (IB), Advanced Placement (AP) and Singapore National Curriculum.

Join our Global Math Hackerthon

Welcoming all Grade 6-12 international students this December with all Math skill levels! A Chance to Win $500!

The Perfect Math Program

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

  • Learn at your own pace

  • Fun interactive lessons

  • Curriculum that grows with you

  • Spend only 15 minutes a day