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In this interactive program, you will learn Grade 11 Pre-Calculus at your own pace. By the end, you will feel more confident in the subject and have a variety of advanced tools to ace your exams at school.   

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Learn everything you need to ace math!

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

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

    • Registration Information

    • Required Student Information

  • 03

    Algebra and Pre-Calculus

    • Lesson 1: Working with positive and negative rational exponents

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Review: Exponent Laws and Order of operations with exponents

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Simplifying radicals

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Ordering a set of irrational numbers

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Lesson 5: Converting entire radicals to mixed radicals

    • Lesson 6: Identifying domain restrictions and extraneous roots of radical equations

    • Quiz: Lesson 6

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Lesson 7: Verify that √ab = √a x √b, a ≥ 0, b ≥ 0 with and without technology

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Using √ab = √a x √b, a ≥ 0, b ≥ 0 to simplify radicals and radical expressions obtained by adding, subtracting, and multiplying

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Lesson 9: Performing operations with radicals

    • Lesson 10: Solving simple (one radical only) equations algebraically

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

    • Lesson 11: Solving simple (one radical only) equations graphically

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Lesson 12: Multiplying and dividing radicals

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lesson 12

    • Lesson 13: Rationalizing the denominator

    • Quiz: Lesson 13

    • Game Time! Question set

    • Mini Challenge: Lesson 13

    • Worksheet: Lesson 13

    • Lesson 14: Common factoring

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Worksheet: Lesson 14

    • Lesson 15: Factor by grouping

    • Lesson 17: Factoring trinomials of the form x² + bx + c

    • Lesson 18: Factoring trinomials when “a>1” where “a” is the coefficient on the x2 term

    • Quiz: Lesson 18

    • Mini Challenge: Lesson 18

    • Worksheet: Lesson 18

    • Lesson 19: Factoring using difference of squares of the form a2x2 - b2y2

    • Quiz: Lesson 19

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 19

    • Worksheet: Lesson 19

    • Lesson 20: Simplifying rational expressions and state the restrictions on the variable values

    • Quiz: Lesson 20

    • Mini Challenge: Lesson 20

    • Worksheet: Lesson 20

    • Lesson 21: Multiplying and dividing rational expressions

    • Quiz: Lesson 21

    • Mini Challenge: Lesson 21

    • Worksheet: Lesson 21

    • Lesson 22: Adding and subtracting rational expressions

    • Quiz: Lesson 22

    • Mini Challenge: Lesson 22

    • Worksheet: Lesson 22

    • Lesson 23: Applying operations to rational expressions

    • Quiz: Lesson 23

    • Mini Challenge: Lesson 23

    • Worksheet: Lesson 23

    • Lesson 24: Identifying non-permissible values

    • Quiz: Lesson 24

    • Mini Challenge: Lesson 24

    • Worksheet: Lesson 24

    • Lesson 25: Solving equations and identifying any extraneous roots

    • Quiz: Lesson 25

    • Game Time! Simplify the expression

    • Mini Challenge: Lesson 25

    • Lesson 26: Single variable inequalities (e.g., 3x - 7 < -4, x2 - 5x + 6 > 0)

    • Quiz: Lesson 26

    • Mini Challenge: Lesson 26

    • Worksheet: Lesson 26

    • Lesson 27: Solving linear inequalities in one variable (including simultaneous inequalities) and representing the solution on the number line

    • Quiz: Lesson 27

    • Game Time! Find the right solution

    • Game Time! Find the right solution

    • Mini Challenge: Lesson 27

    • Worksheet: Lesson 27

    • Lesson 28: Finding the domain and range restrictions from problems

    • Quiz: Lesson 28

    • Mini Challenge: Lesson 28

    • Worksheet: Lesson 28

    • Lesson 29: Identifying intervals where a function is positive, negative or zero

    • Quiz: Lesson 29

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 29

    • Worksheet: Lesson 29

    • Lesson 30: Symbolic notation for inequality statements, including interval notation

    • Quiz: Lesson 30

    • Mini Challenge: Lesson 30

    • Game Time! Drag and Drop

    • Worksheet: Lesson 30

  • 04

    Financial Literacy Applications

    • Lesson 1: Making and describing connections between simple interest, arithmetic sequences, and linear growth

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Game time! Crossword Lesson 1

    • Lesson 2: Making and describing connections between compound interest, geometric sequences, and exponential growth, through investigation with technology

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Quiz time! Lesson 2

    • Lesson 3: Calculating compound interest: future value (FV)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Game time! Matching game Lesson 3

    • Lesson 4: Calculating compound interest: principal (P)/present value (PV)

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Guess the answer! Lesson 4

    • Lesson 5: Calculating the interest rate per compounding period, i, using the compound interest formula in the form A = P(1 + i)n [or FV = PV(1 + i)n ]

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Review time! Lesson 5

    • Lesson 6: Determining the number of compounding periods, n, using the compound interest formula in the form A = P(1 + i)n [or FV = PV(1 + i)n ]

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Question deconstructed. Lesson 6

    • Lesson 7: Understanding Annuities

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Game time! Crossword Lesson 7

    • Lesson 8: Relationships between ordinary simple annuities, geometric series, and exponential growth

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Review time! Lesson 8

    • Lesson 9: Determining the effects of changing the conditions (i.e., the payments, the frequency of the payments, the interest rate, the compounding period) of ordinary simple annuities (e.g., long-term savings plans, loans)

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Review time! Lesson 9

    • Lesson 10: Solving problems, that involve the amount, the present value, and the regular payment of an ordinary simple annuity

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

  • 05

    Trigonometry

    • Lesson 1: Review: The Pythagorean Theorem

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet Lesson 1

    • Lesson 2: Review: Label sides of a right triangle hyp, opp, and adj

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Using trig ratios to find missing angles and sides in right triangles (SOHCAHTOA)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Using SOHCAHTOA to solve real-world problems

    • Quiz: Lesson 4

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 4

    • Lesson 5: Calculating the primary and reciprocal trigonometric ratios given two sides of a triangle

    • Quiz: Lesson 5

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 5

    • Lesson 5 Part 2: Evaluating ratios for special triangles

    • Quiz: Lesson 5 Part 2

    • Mini Challenge: Lesson 5 Part 2

    • Lesson 6: Using the exact values of the sine, cosine and tangent of 30°, 45°, 60°, and related angles

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Lesson 7: Using the sine law solve non-right triangles (including ambiguous cases)

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Using the cosine law solve non-right triangles (including ambiguous cases)

    • Quiz: Lesson 8

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Lesson 9: Using the sine law and the cosine law to solve real-world problems

    • Quiz: Lesson 9

    • Game Time! Select the correct answer

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Lesson 10: Drawing diagrams and find missing sides and angles for the two possibilities of the ambiguous case

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

    • Lesson 11: Solving simple trigonometric equations

    • Quiz: Lesson 11

    • Game Time! Drag and drop

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Lesson 12: Solving 3-dimensional problems using trigonometry

    • Quiz: Lesson 12

    • Game Time! Solve the 3D Problem

    • Mini Challenge: Lesson 12

    • Game Time! Crossword

    • Worksheet: Lesson 12

  • 06

    Radian Measure and Angles

    • Lesson 1: Calculating angles in standard position (degrees)

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Reference and coterminal angles and terminal arm

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Angle properties (parallel lines, triangles, and other polygons)

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Lesson 4: Angle proofs (parallel lines, triangles, and other polygons)

    • Quiz: Lesson 4

    • Game Time! Find the missing angles

    • Mini Challenge: Lesson 4

    • Lesson 5: Special angles, as connected with the 30-60-90 and 45-45-90 triangles

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: Unit circle

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Worksheet: Lesson 6

    • Lesson 6A: Radians and arc length

    • Quiz: Lesson 6 Part 2

    • Mini Challenge: Lesson 6 Part 2

    • Worksheet: Lesson 6 Part 2

    • Lesson 7: Converting from radians to degrees and from degrees to radians

    • Quiz: Lesson 7

    • Game Time! Question set

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8 Use trigonometry to find the area of a sector

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lesson 8

    • Lesson 9: Use trigonometry to find the area of a sector and a segment

    • Quiz: Lesson 9

    • Game Time! Find the right answer

    • Mini Challenge: Lesson 9

    • Worksheet: Lesson 9

    • Lesson 10: Solving problems concerning the arc length and sector area of a circle

    • Game Time! Fill in the blanks

    • Game Time! Flip and Learn

  • 07

    Congruence and Similarity

    • Lesson 1: Determining whether two triangles are congruent or similar

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

    • Worksheet: Lesson 1

    • Lesson 2: Ratio of areas of similar plane figures

    • Quiz: Lesson 2

    • Game Time! Find the congruent or similar triangles

    • Game Time! True or false

    • Mini Challenge: Lesson 2

    • Worksheet: Lesson 2

    • Lesson 3: Ratio of volumes of similar solids

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Worksheet: Lesson 3

    • Lesson 4: Comparing the properties of similar objects (length, area, volume) square-cube law

    • Quiz: Lesson 4

    • Game Time! Drag and drop

    • Game Time! Find the volume

    • Mini Challenge: Lesson 4

    • Worksheet: Lesson 4

    • Lesson 5: Maximizing area or volume while minimizing perimeter enlargements and reductions of 2D

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Worksheet: Lesson 5

    • Lesson 6: Maximizing area or volume while minimizing perimeter enlargements and reductions of 3D objects

    • Quiz: Lesson 6

    • Game Time! Maximize the Area

    • Mini Challenge: Lesson 6

    • Game Time! Memory Game

    • Worksheet: Lesson 6

  • 08

    Tinkering Project

    • Let's Tinker!

      FREE PREVIEW
    • Find a solution using Math to the UN Sustainable Goal: UN Sustainable Goal: Clean Water and Sanitation

    • Find a solution using Math to the UN Sustainable Goal: Life on Land

    • Find a solution using Math to the UN Sustainable Goal: Sustainable Cities and Communities

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

Reviews

“This is a challenging course but now that I've taken it I feel a lot more confident about entering into Calculus next semester.”

Student, Age 16

Mitchell

“Great program! My grades are finally back up! ”

Student, Age 16

Ajai

“This course really prepared me for Calculus. I'm taking Calculus now and I keep thinking back to concepts I learned in this course, almost as if I have these helpful learning tricks in my back pocket. I feel so much better about navigating this kind of math.”

Student, Age 16

Ellie

Enroll Now

Learn everything you need to ace math!

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.

  • How will I get access to the learning platform?

    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 [email protected].

  • 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.

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Schools

  • BBC review of Explorer Hop
  • Global News review of Explorer Hop
  • CP24 review of Explorer Hop
  • CTV review of Explorer Hop
  • Readers Digest review of Explorer Hop
  • Toronto Star review of Explorer Hop

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