Level 5 Math
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In this interactive program, you will take an exciting journey through the world of mathematics. By the end, you will feel more confident in the subject and have the tools to ace your exams at school. You'll even start instinctively using math skills to solve everyday problems!
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Our innovative program simulates a real trading environment
Our programs are for everyone. Lessons are simple and taught with a variety of learning styles in mind.
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Build confidence in your new skills with a variety of hands-on activities, quizzes, projects and real life simulations
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How does Explorer Math Work
FREE PREVIEWBig Hello from our Math Curriculum Director, Sara Chaudhry
FREE PREVIEWHow does the Mini Challenge Work?
FREE PREVIEWAll about Power Math Worksheets
FREE PREVIEWHow do Explorer Hop Rewards work?
FREE PREVIEWLet's Tinker! (for Tinkering projects)
FREE PREVIEWLesson 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
Game Time! Drag and drop
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
Game Time! Drag and drop
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
Game Time! Drag and drop
Mini Challenge: Lesson 6
Lesson 7: Using roots, integers, and fractional indices
Quiz: Lesson 7
Game Time! Drag and drop
Mini Challenge: Lesson 7
Game Time! Put the images in the correct sequence
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
Game Time! Drag and drop
Mini Challenge: Lesson 11
Lesson 12: Understanding direct and inverse proportion (Including graphical and algebraic representations)
Quiz: Lesson 12
Game Time! Dialog Cards
Mini Challenge: Lesson 12
Worksheet: Lessons 9-12
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
Game Time! Memory game
Game Time! Drag and Drop
Mini Challenge: Lesson 11
Worksheet: Lesson 11
Worksheet: Lessons 5-11
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
Game Time! Drag and Drop
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
FREE PREVIEWGame Time! Question set
Mini Challenge: Lesson 5
Worksheet: Lessons 1-5
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
Game Time! Crossword
Game Time! Dialog Cards
Mini Challenge: Lesson 4
Worksheet: Lessons 1-4
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
Game Time! Fill in the blanks
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
Game Time! Drag and drop
Game Time! Find the right complex number
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
Game Time! Drag and Drop
Mini Challenge: Lesson 10
Worksheet: Lesson 10
Lesson 11: Intro to polynomials (parts of polynomial expressions)
Quiz: Lesson 11
Game Time! Is It a Polynomial?
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
Worksheet: Lessons 17-20
Lesson 21: Dividing polynomials by linear expressions
Quiz: Lesson 21
Game Time! Drag and drop
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
Game Time! Drag and drop
Game Time! Find the factors
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
Game Time! Drag and Drop
Game Time! Flip and Learn
Mini Challenge: Lesson 26
Worksheet: Lessons 21-16
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
Game Time! Question set
Mini Challenge: Lesson 5
Worksheet: Lessons 1-5
Lesson 6: Solve for missing terms in an arithmetic or geometric sequence
Quiz: Lesson 6
Game Time! True or false
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
Game Time! Drag and drop
Mini Challenge: Lesson 9
Game Time! Memory Game
Worksheet: Lessons 6-9
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
Game Time! Memory Game
Game Time! Drag and Drop
Mini Challenge: Lesson 4
Worksheet: Lessons 1-4
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
Game Time! Flip and learn
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
Game Time! Crossword
Game Time! Drag and Drop
Mini Challenge: Lesson 12 & 13
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
Game Time! Drag and drop
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
Game Time! Find the right graph
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
Game Time! Drag and drop
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
Game Time! Drag and drop
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
Game Time! Drag and drop
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
Mini Challenge: Lesson 14
Game Time! Crossword
Lesson 14: Solving problems in situational contexts (application/real-world word problems)
Mini Challenge: Lesson 14
Game Time! Dialog Cards
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
Game Time! Find the GCF
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
Game Time! Drag and drop
Mini Challenge: Lesson 10
Worksheet: Lesson 10
Lesson 11: Expand and simplify second-degree polynomial expressions
Quiz: Lesson 11
Game Time! Drag and Drop
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
Game Time! Drag and Drop
Mini Challenge: Lesson 14
Worksheet: Lessons 10-14
Lesson 1: Review - What is a quadratic relation? (parabola, constant second differences, x^2)
Quiz: Lesson 1
Game Time! Flip and learn
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
Game Time! Drag and drop
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
Game Time! Find the right graph
Game Time! Find the axis of symmetry
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
Game Time! Put the graphs in the correct order
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
Game Time! Drag and drop
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
Game Time! Drag and drop
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
Game Time! Solve the quadratic equation
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)
Game Time! Solve the inequality
Game Time! Drag and drop
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
Game Time! Drag and drop
Mini Challenge: Lesson 20
Game Time! Drag and Drop
Worksheet: Lessons 17-20
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
Game Time! Question set
Game Time! Find the right equation
Mini Challenge: Lesson 4
Worksheet: Lessons 1-4
Lesson 5: Growth and decay problems
Quiz: Lesson 5
Game Time! Drag and drop
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
Game Time! Question set
Mini Challenge: Lesson 7
Worksheet: Lesson 7
Lesson 8: Properties of logarithms
Quiz: Lesson 8
Game Time! Fill in the blanks
Mini Challenge: Lesson 8
Game Time! Flip and Learn
Worksheet: Lessons 5-8
Mini Challenge: Lesson 9
Mini Challenge: Lesson 10
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
Game Time! Select the correct triangle
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
Game Time! Drag and drop
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
Game Time! Drag and drop
Game Time! Solve the 2D Problem
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
Game Time! Solve the 3D Problem
Mini Challenge: Lesson 11
Worksheet: Lesson 11
Lesson 12: Unit circle introduction
Quiz: Lesson 12
Game Time! Dialog Cards
Mini Challenge: Lesson 12
Worksheet: Lesson 12
Lesson 13: Degrees vs. Radians
Quiz: Lesson 13
Game Time! Drag and drop
Mini Challenge: Lesson 13
Worksheet: Lesson 13
Lesson 14: Trigonometric Values of special angles (30, 45, 60, 90 degrees)
Quiz: Lesson 14
Game Time! Drag and drop
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
Game Time! Fill in the blanks
Game Time! Drag and drop
Mini Challenge: Lesson 21
Worksheet: Lesson 21
Lesson 22: Sinusoidal models
Quiz: Lesson 22
Game Time! CHALLENGE: Find all correct equations
Mini Challenge: Lesson 22
Game Time! Flip and Learn
Worksheet: Lesson 22
Worksheet: Lessons 19-22
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
Game Time! Find the right sample space
Game Time! Fill in the blanks
Mini Challenge: Lesson 2
Quiz: Lesson 4
Lesson 3: Review: Calculate probabilities with replacement
Mini Challenge: Lesson 3
Worksheet: Lessons 1-3
Lesson 4: Review: Calculate probabilities without replacement
Quiz: Lesson 4
Game Time! Fill in the blanks
Mini Challenge: Lesson 4
Lesson 5: Calculate the probabilities of independent events
Quiz: Lesson 5
Mini Challenge: Lesson 5
Lesson 6: Calculate the probabilities of mutually exclusive events
Quiz: Lesson 6
Game Time! Find all pairs of independent events
Game Time! Find all pairs of mutually exclusive events
Mini Challenge: Lesson 6
Lesson 7: Calculate the probabilities of combined events
Quiz: Lesson 7
Mini Challenge: Lesson 7
Worksheet: Lessons 4-7
Lesson 8: Calculate and interpret conditional probabilities
Quiz: Lesson 8
Mini Challenge: Lesson 8
Lesson 9: Addition and multiplication of probabilities
Quiz: Lesson 9
Game Time! Fill in the blanks
Game Time! Fill in the blanks
Mini Challenge: Lesson 9
Lesson 10: Record, describe and analyze the frequency of outcomes of probability experiments (In the lesson use tables and frequency trees)
Quiz: Lesson 10
Game Time! Fill in the blanks
Mini Challenge: Lesson 10
Lesson 11: Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments
Quiz: Lesson 11
Mini Challenge: Lesson 11
Worksheet: Lessons 8-11
Lesson 12: Relating relative expected frequencies to theoretical probability
Quiz: Lesson 12
Mini Challenge: Lesson 12
Lesson 13: Apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one
Quiz: Lesson 13
Game Time! Fill in the blanks
Mini Challenge: Lesson 13
Lesson 14: Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size
Quiz: Lesson 14
Mini Challenge: Lesson 14
Mini Challenge: Lesson 16
Lesson 15: Construct “probability spaces” for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities
Quiz: Lesson 15
Game Time! Find the correct probability function
Mini Challenge: Lesson 15
Game Time! Drag and drop
Game Time! Flip and Learn
Worksheet: Lessons 12-15
Lesson 1: Review: Currency Conversion
Quiz: Lesson 1
Mini Challenge: Lesson 1
Real world example!
Lesson 2: Financial Application: Ratios and percentage increase, decrease and change
Quiz: Lesson 2
Mini Challenge: Lesson 2
Review time!
Lesson 3: Gross and net pay
Quiz: Lesson 3
Mini Challenge: Lesson 3
Game time! Crossword
Lesson 4: Types of income tax and other deductions
Quiz: Lesson 4
Mini Challenge: Lesson 4
Game time! Matching game
Game Time! Dialog Cards
Game Time! Fill in the Blanks
Worksheet: Lessons 1-4
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
Game Time! Find the Mean, Median, and Mode
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
Game Time! Flip and Learn
Game Time! Drag The Words
Game Time! Image Hotspots
Game Time! Image Hotspots
Mini Challenge: Lesson 21
Data Literacy and Statistics 17-21 - New
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
Game Time! Flip and Learn
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
Game Time! Find the missing values
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
Game Time! Dialog Cards
Mini Challenge: Lesson 8
Worksheet: Lessons 5-8
Lesson 9: Review: Basic congruence criteria for triangles (SSS, SAS, ASA, RHS)
Quiz: Lesson 9
Game Time! Memory Game: Find all pairs of congruent triangles
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
Game Time! Find congruent and similar shapes
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
Game Time! Find the missing side lengths
Mini Challenge: Lesson 12
Lesson 13: Scale drawings: enlarging and reducing plane figures
Quiz: Lesson 13
Game Time! Flip and Learn
Mini Challenge: Lesson 13
Worksheet: Lessons 9-13
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
Game Time! Drag and drop
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
Game Time! Drag and drop
Mini Challenge: Lesson 18
Lesson 19: Surface area of spheres, pyramids, cones, cylinders, cuboids and other right prisms
Quiz: Lesson 19
Game Time! Memory Game
Mini Challenge: Lesson 19
Lesson 20: Volume of spheres, pyramids, cones, cylinders, cuboids and other right prisms
Quiz: Lesson 20
Game Time! Find the right shapes
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
Game Time! Flip and Learn
Game Time! Drag the Words
Game Time! Image Hotpsots
Game Time! Guess the Answer
Worksheet: Lessons 18-21
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
Game Time! Drag and Drop
Game Time! Guess the Answer
Worksheet: Lessons 22-24
Lesson 25: Circle definitions and properties (In the lesson include centre, radius, chord, diameter, circumference, tangent, arc, sector, and segment)
Quiz: Lesson 25
Game Time! Memory Game
Mini Challenge: Lesson 25
Lesson 25: The equation of a circle
Game Time! Find the right circle
Lesson 26: Symmetry properties of circles
Quiz: Lesson 26
Mini Challenge: Lesson 26
Lesson 27: Circumference of a circle
Quiz: Lesson 27 & 28
Game Time! Drag and drop
Game Time! Find the right circle
Mini Challenge: Lesson 27
Lesson 28: Calculate arc lengths and angles
Game Time! Fill in the blanks
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
Game Time! Find the areas
Mini Challenge: Lesson 30
Lesson 31: Using radian measure of angle (including conversion between radians and degrees)
Quiz: Lesson 31 & 32
Game Time! Drag and drop
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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Quizzes and Assignments
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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.