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Course curriculum

  • 01

    Registration

    • Required Student Information

  • 03

    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

    • 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

    • 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

    • Mini Challenge: Lesson 6

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

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • 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

    • Mini Challenge: Lesson 11

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

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lessons 9-12

  • 04

    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

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Worksheet: Lessons 5-11

  • 05

    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

    • 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

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    • Mini Challenge: Lesson 5

    • Worksheet: Lessons 1-5

  • 06

    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

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

  • 07

    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

    • 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

    • 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

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

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

    • Quiz: Lesson 11

    • 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

    • Lesson 21: Dividing polynomials by linear expressions

    • Quiz: Lesson 21

    • Worksheet: Lessons 17-20

    • 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

    • 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

    • Mini Challenge: Lesson 26

    • Worksheet: Lessons 21-16

  • 08

    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

    • Mini Challenge: Lesson 5

    • Worksheet: Lessons 1-5

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

    • Quiz: Lesson 6

    • 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

    • Mini Challenge: Lesson 9

    • Worksheet: Lessons 6-9

  • 09

    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

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

  • 10

    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

    • 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

    • Mini Challenge: Lesson 12 & 13

  • 11

    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

    • 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

    • 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

    • 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

    • 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

    • 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

    • Lesson 14: Solving linear inequalities and represent the solution on a graph

    • Mini Challenge: Lesson 14

    • Lesson 15: Solving problems in situational contexts (application/real-world word problems)

    • Mini Challenge: Lesson 15

  • 12

    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

    • 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

    • Mini Challenge: Lesson 10

    • Worksheet: Lesson 10

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

    • Quiz: Lesson 11

    • 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

    • Mini Challenge: Lesson 14

    • Worksheet: Lessons 10-14

  • 13

    Quadratic Functions

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

    • Quiz: Lesson 1

    • 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

    • 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

    • 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

    • 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

    • 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

    • 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

    • 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)

    • 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

    • Mini Challenge: Lesson 20

    • Worksheet: Lessons 17-20

  • 14

    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

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Growth and decay problems

    • Quiz: Lesson 5

    • 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

    • Mini Challenge: Lesson 7

    • Worksheet: Lesson 7

    • Lesson 8: Properties of logarithms

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Mini Challenge: Lesson 9

    • Mini Challenge: Lesson 10

  • 15

    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

    • 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

    • 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

    • 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

    • Mini Challenge: Lesson 11

    • Worksheet: Lesson 11

    • Lesson 12: Unit circle introduction

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lesson 12

    • Lesson 13: Degrees vs. Radians

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Worksheet: Lesson 13

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

    • Quiz: Lesson 14

    • 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

    • Mini Challenge: Lesson 21

    • Worksheet: Lesson 21

    • Lesson 22: Sinusoidal models

    • Quiz: Lesson 22

    • Mini Challenge: Lesson 22

    • Worksheet: Lesson 22

    • Worksheet: Lessons 19-22

  • 16

    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

    • Mini Challenge: Lesson 2

    • Lesson 3: Calculate possibilities from tree diagrams

    • Lesson 4: Review: Calculate probabilities with replacement

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

    • Lesson 5: Review: Calculate probabilities without replacement

    • Quiz: Lesson 5

    • Mini Challenge: Lesson 5

    • Lesson 6: Calculate the probabilities of independent events

    • Quiz: Lesson 6

    • Mini Challenge: Lesson 6

    • Lesson 7: Calculate the probabilities of mutually exclusive events

    • Quiz: Lesson 7

    • Mini Challenge: Lesson 7

    • Lesson 8: Calculate the probabilities of combined events

    • Quiz: Lesson 8

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

    • Lesson 9: Calculate and interpret conditional probabilities

    • Quiz: Lesson 9

    • Mini Challenge: Lesson 9

    • Lesson 10: Addition and multiplication of probabilities

    • Quiz: Lesson 10

    • Mini Challenge: Lesson 10

    • Lesson 11: Record, describe and analyse the frequency of outcomes of probability experiments (In the lesson use tables and frequency trees)

    • Quiz: Lesson 11

    • Mini Challenge: Lesson 11

    • Lesson 12: Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments

    • Quiz: Lesson 12

    • Mini Challenge: Lesson 12

    • Worksheet: Lessons 9-12

    • Lesson 13: Relating relative expected frequencies to theoretical probability

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Lesson 14: Apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one

    • Quiz: Lesson 14

    • Mini Challenge: Lesson 14

    • Lesson 15: Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

    • Quiz: Lesson 15

    • Mini Challenge: Lesson 15

    • Lesson 16: Enumerate sets and combinations of sets using tables, grids, Venn diagrams and tree diagrams

    • Mini Challenge: Lesson 16

    • Lesson 17: Construct “probability spaces” for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities

    • Quiz: Lesson 17

    • Mini Challenge: Lesson 17

    • Worksheet: Lessons 13-17

  • 17

    Financial Literacy

    • Lesson 1: Review: Currency Conversion

    • Quiz: Lesson 1

    • Mini Challenge: Lesson 1

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

    • Quiz: Lesson 2

    • Mini Challenge: Lesson 2

    • Lesson 3: Gross and net pay

    • Quiz: Lesson 3

    • Mini Challenge: Lesson 3

    • Lesson 4: Types of income tax and other deductions

    • Quiz: Lesson 4

    • Mini Challenge: Lesson 4

    • Worksheet: Lessons 1-4

  • 18

    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

    • 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

    • Mini Challenge: Lesson 21

    • Data Literacy and Statistics 17-21 - New

  • 19

    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

    • 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

    • 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

    • Mini Challenge: Lesson 8

    • Worksheet: Lessons 5-8

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

    • Quiz: Lesson 9

    • 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

    • 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

    • Mini Challenge: Lesson 12

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

    • Quiz: Lesson 13

    • Mini Challenge: Lesson 13

    • Worksheet: Lessons 9-13

  • 20

    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

    • 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

    • Mini Challenge: Lesson 18

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

    • Quiz: Lesson 19

    • Mini Challenge: Lesson 19

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

    • Quiz: Lesson 20

    • 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

    • Worksheet: Lessons 18-21

  • 21

    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

    • Worksheet: Lessons 22-24

  • 22

    Circles

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

    • Quiz: Lesson 25

    • Mini Challenge: Lesson 25

    • Lesson 25: The equation of a circle

    • Lesson 26: Symmetry properties of circles

    • Quiz: Lesson 26

    • Mini Challenge: Lesson 26

    • Lesson 27: Circumference of a circle

    • Quiz: Lesson 27 & 28

    • Mini Challenge: Lesson 27

    • Lesson 28: Calculate arc lengths and angles

    • 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

    • Mini Challenge: Lesson 30

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

    • Quiz: Lesson 31 & 32

    • 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

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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.

  • 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.

The Perfect Math Program

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  • Learn at your own pace

  • Fun interactive lessons

  • Curriculum that grows with you

  • Spend only 15 minutes a day

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