Grade 11 Pre-Calculus
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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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Our programs are for everyone. Lessons are simple and taught with a variety of learning styles in mind.
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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
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
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
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
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
Let's Tinker!
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Here are answers to some common questions we are asked
This level is designed for kids ages 11-12 in Grades 6 and 7.
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 hello@explorerhop.com.
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.