## Ready to have fun and ace math?

It's time to become a pro!

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.

## Enroll Now

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

• 02

• 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

• 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 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

• 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

• Certificate of completion

## 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!

• 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.

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.