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Lesson 1: Rates of change (how to represent rates of change as well as real-world examples)

Quiz: Lesson 1

Mini Challenge: Lesson 1

Worksheet: Lesson 1

Lesson 2: Explore situations in which the rate of change is zero, constant, or changing (include real world applications)

Quiz: Lesson 2

Mini Challenge: Lesson 2

Worksheet: Lesson 2

Lesson 3: Calculating rates of change for various functions (linear, quadratic, sinusoidal etc)

Worked Out Example: Lesson 3

Quiz: Lesson 3

Mini Challenge: Lesson 3

Worksheet: lesson 3

Lesson 4: Average rate of change vs. Instantaneous rate of change

Quiz: Lesson 4

Mini Challenge: Lesson 4

Worksheet: Lesson 4

Lesson 5: Review: What are tangent lines and what does "normal to the tangent" mean

Quiz: Lesson 5

Game Time! Select the correct answer

Game Time! Guess the Answer

Mini Challenge: Lesson 5

Worksheet: Lesson 5

Lesson 6: Making connections between the slope of a secant on the graph of a function and the average rate of change

Quiz: Lesson 6

Mini Challenge: Lesson 6

Worksheet: Lesson 6

Lesson 7: Making connections between the slope of a tangent to a point on a graph of a function and the instantaneous rate of change of a function at that point

Quiz: Lesson 7

Mini Challenge: Lesson 7

Worksheet: Lesson 7

Lesson 8: Determine the approximate slope of the tangent to a given point on the graph of a function by using the slopes of secants through the given point and make connections to average and instantaneous rates of change

Quiz: Lesson 8

Mini Challenge: Lesson 8

Worksheet: Lesson 8

Lesson 9: Solve problems involving average and instantaneous rates of change, including problems arising from real-world applications (can use tech like desmos)

Quiz: Lesson 9

Game Time! Drag the words (L6 - 9)

Mini Challenge: Lesson 9

Worksheet: lesson 9

Lesson 10: What is the limit of a function?

Quiz: Lesson 10

Mini Challenge: Lesson 10

Worksheet: lesson 10

Lesson 11: Key features (domain, range, max, min, etc) of the graphs of functions created by adding,subtracting,multiplying,or dividing functions( [e.g., f(x) = 2-x sin 4x, g(x) = x2 + 2x , h(x) =sin x/cos x & describe factors that affect these properties

Quiz: Lesson 11

Mini Challenge: Lesson 11

Worksheet: lesson 11

Lesson 12: Real-world applications of combinations of functions

Quiz: Lesson 12

Game Time! Flip and learn (L11 - 12)

Mini Challenge: Lesson 12

Worksheet: lesson 12

Lesson 13: Explain properties (i.e., odd, even, or neither; increasing/decreasing behaviours) of functions formed by adding, subtracting, multiplying, and dividing general functions [e.g., f(x) + g(x), f(x)g(x)]

Quiz: Lesson 13

Game Time! Even or odd? (L13)

Mini Challenge: Lesson 13

Worksheet: Lesson 13

Lesson 14: Composite functions / Composition of functions, interpret the notation of composite functions

Worked Out Example: Lesson 14

Quiz: Lesson 14

Mini Challenge: Lesson 14

Worksheet: Lesson 14

Lesson 15: Composition of two functions: real world applications

Quiz: Lesson 15

Mini Challenge: Lesson 15

Worksheet: Lesson 15

Lesson 16: Algebraically determine the composition of two functions

Quiz: Lesson 16

Game Time! Drag and drop (L14 - 16)

Mini Challenge: Lesson 16

Worksheet: Lesson 16

Lesson 17: Understand how to represent complex functions as composites of simpler functions

Worked Out Example: Lesson 17

Quiz: Lesson 17

Mini Challenge: Lesson 17

Worksheet: lesson 17

Lesson 18: Demonstrate, by giving examples for functions represented in a variety of ways

Quiz: Lesson 18

Mini Challenge: Lesson 18

Worksheet: Lesson 18

Lesson 19: Make connections, through investigation using technology, between transformations

Quiz: Lesson 19

Game Time! Fill in the blanks (L17 - 19)

Game Time! Identify the transformations (L19)

Mini Challenge: Lesson 19

Worksheet: Lesson 19

Lesson 20: Compare various functions with one another (polynomial, rational, trigonometric, exponential, logarithmic)

Mini Challenge: Lesson 20

Worksheet: Lesson 20

Lesson 21: solve graphically and numerically equations and inequalities whose solutions are not accessible by standard algebraic techniques (can use desmos or GDC)

Quiz: Lesson 21

Mini Challenge: Lesson 21

Worksheet: Lesson 21

Lesson 22: locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change

Quiz: Lesson 22

Game Time! Find the correct solutions (L21 - 22)

Mini Challenge: Lesson 22

Game Time! Crossword

Worksheet: Lesson 22

Quiz: Lesson 1

Quiz: Lesson 1 Part 2

Mini Challenge: Lesson 1

Mini Challenge: Lesson 1 Part 2

Worksheet: Lesson 1

Lesson 2: Finding the degree from the equation in expanded or factored form

Worked Out Example: Lesson 2

Quiz: Lesson 2

Mini Challenge: Lesson 2

Worksheet: Lesson 2

Lesson 3: Finding the leading coefficient from the equation in expanded or factored form

Quiz: Lesson 3

Game Time! Is it a polynomial?

Mini Challenge: Lesson 3

Worksheet: Lesson 3

Lesson 4: Comparing (using graphing technology) the numeric, graphical, and algebraic representations of polynomial (i.e., linear, quadratic, cubic, quartic) functions

Quiz: Lesson 4

Mini Challenge: Lesson 4

Worksheet: lesson 4

Quiz: Lesson 5

Game Time! Flip and learn

Mini Challenge: Lesson 5

Worksheet: Lesson 5

Lesson 7: Making connections (using graphing technology) between a polynomial function given in factored form [e.g., f(x) = 2(x – 3)(x + 2)(x – 1)] and the x-intercepts of its graph

Worked Out Example: Lesson 7

Quiz: Lesson 6/7

Mini Challenge: Lesson 6/7

Worksheet: Lesson 6/7

Lesson 8: Sketching the graph of a polynomial function given in factored form using its key features.

Quiz: Lesson 8

Game Time! Select the right graph

Mini Challenge: Lesson 8

Worksheet: Lesson 8

Lesson 9: Determining (using technology, desmos is fine) the roles of the parameters a, k, d, and c in functions of the form y = af(k(x – d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x and f(x) = x

Quiz: Lesson 9

Game Time! Put the graphs in the correct order

Mini Challenge: Lesson 9

Worksheet: Lesson 9

Lesson 10: Determining an equation of a polynomial function that satisfies a given set of conditions (In the lesson include that there may be more than one polynomial function that can satisfy a given set of conditions)

Worked Out Example: Lesson 10

Quiz: Lesson 10

Mini Challenge: Lesson 10

Worksheet: lesson 10

Worked Out Example: Lesson 11

Quiz: Lesson 11

Mini Challenge: Lesson 11

Worksheet: Lesson 11

Lesson 12: Determining and comparing the properties of even and odd polynomial functions, and determine whether a given polynomial function is even, odd, or neither

Worked Out Example: Lesson 12

Quiz: Lesson 12

Game Time! Drag and drop

Mini Challenge: Lesson 12

Worksheet: Lesson 12

Lesson 13: Determining (with and without technology) key features (i.e., vertical and horizontal asymptotes, domain and range, intercepts, positive/negative intervals, increasing/decreasing intervals)

Worked Out Example: Lesson 13

Quiz: Lesson 13

Mini Challenge: Lesson 13

Worksheet: Lesson 13

Lesson 14: Determining (with and without technology) key features (i.e., vertical and horizontal asymptotes, domain and range, intercepts, positive/negative intervals, increasing/decreasing intervals)

Quiz: Lesson 14

Mini Challenge: Lesson 14

Worksheet: Lesson 14

Lesson 15: Sketching the graph of a simple rational function using its key features, given the algebraic representation of the function

Worked Out Example: Lesson 15

Quiz: Lesson 15

Mini Challenge: Lesson 15

Worksheet: lesson 15

Lesson 16: Understanding the connection between vertical asymptotes and limits that equal to ∞

Quiz: Lesson 16

Mini Challenge: Lesson 16

Worksheet: Lesson 16

Lesson 17: Given the equation of a rational function, determine the equation of the horizontal asymptote

Quiz: Lesson 17

Mini Challenge: Lesson 17

Worksheet: Lesson 17

Lesson 19: Given the equation of a polynomial or rational function, draw an accurate sketch showing all key features

Quiz: Lesson 18/19

Game Time! Question set

Mini Challenge: Lesson 18/19

Worksheet: Lesson 19

Lesson 20: Performing long division of polynomials, perform synthetic division of polynomials, state the restrictions, and write the division statement

Worked Out Example: Lesson 20

Quiz: Lesson 20

Mini Challenge: Lesson 20

Worksheet: lesson 20

Lesson 20B: Performing long division of polynomials, perform synthetic division of polynomials, state the restrictions, and write the division statement

Worked Out Example: Lesson 20B

Quiz: Lesson 20 B

Game Time! Drag and drop

Mini Challenge: Lesson 20B

Worksheet: Lesson 20B

Lesson 21: Making connections (using technology) between the polynomial function f(x), the divisor x – a, the remainder from the division f(x)/x-a, and f(a) to verify the remainder theorem and the factor theorem

Quiz: Lesson 21

Mini Challenge: Lesson 21

Worksheet: lesson 21

Lesson 22: Using the factor theorem to determine whether a binomial is a factor of a higher-order polynomial

Worked Out Example: Lesson 22

Quiz: Lesson 22

Game Time! Find the factors

Mini Challenge: Lesson 22

Worksheet: Lesson 22

Lesson 23: Factoring polynomial expressions in one variable, of degree no higher than four, by selecting and applying strategies (i.e., common factoring, difference of squares, trinomial factoring, factoring by grouping, remainder theorem, factor theorem)

Worked Out Example: Lesson 23

Quiz: Lesson 23

Mini Challenge: Lesson 23

Worksheet: Lesson 23

Lesson 24: Determining (using technology) the connection between the real roots of a polynomial equation and the x-intercepts of the graph of the corresponding polynomial function, and describe this connection

Worked Out Example: Lesson 24

Quiz: Lesson 24

Mini Challenge: Lesson 24

Worksheet: Lesson 24

Lesson 26: Solving polynomial equations in one variable, of degree no higher than four (e.g., 2x3 – 3x2 + 8x – 12 = 0), by selecting and applying strategies

Worked Out Example: Lesson 25-26

Quiz: Lesson 26

Game Time! Drag and drop

Mini Challenge: Lesson 26

Worksheet: Lesson 26

Lesson 27: Determining (using technology) the connection between the real roots of a rational equation and the x-intercepts of the graph of the corresponding rational function, and describe this connection

Quiz: Lesson 27

Mini Challenge: Lesson 27

Worksheet: Lesson 27

Lesson 28: Solving simple rational equations in one variable algebraically, and verify solutions using technology

Worked Out Example: Lesson 28

Quiz: Lesson 28

Game Time! Flip and learn

Mini Challenge: Lesson 28

Worksheet: Lesson 28

Lesson 29: Solving problems involving applications of polynomial and simple rational functions and equations (In the lesson include problems involving the factor theorem or remainder theorem, such as determining the values of k for which the function f(x)

Worked Out Example: Lesson 29

Quiz: Lesson 29

Game Time! Guess the Answer

Mini Challenge: Lesson 29

Worksheet: Lesson 29

Lesson 30: Explaining, for polynomial and simple rational functions, the difference between the solution to an equation in one variable and the solution to an inequality in one variable, and demonstrate that given solutions satisfy an inequality

Quiz: Lesson 30

Mini Challenge: Lesson 30

Worksheet: lesson 30

Lesson 31: Determining solutions to polynomial inequalities in one variable & to simple rational inequalities in one variable by graphing the corresponding functions,using graphing technology, & identifying intervals for which x satisfies the inequalities

Worked Out Example: Lesson 31

Quiz: Lesson 31

Mini Challenge: Lesson 31

Worksheet: Lesson 31

Lesson 32: Solving factorable polynomial inequalities algebraically and by graphing

Worked Out Example: Lesson 32

Quiz: Lesson 32

Game Time! Question set

Mini Challenge: Lesson 32

Worksheet: Lesson 32

Lesson 33: Given the equation of a higher-order polynomial: - Predict the behaviour of the graph near the x-intercepts - Predict the end behaviour - Determine the maximum number of turning points

Quiz: Lesson 33

Mini Challenge: Lesson 33

Worksheet: Lesson 33

Lesson 34: Drawing a detailed sketch illustrating the main features from previous lesson

Worked Out Example: Lesson 34

Quiz: Lesson 34

Game Time! Fill in the blanks

Mini Challenge: Lesson 34

Worksheet: Lesson 34

Lesson 35: Solving linear inequalities and factorable polynomial inequalities in one variable and represent the solutions on a number line and algebraically

Worked Out Example: Lesson 35

Quiz: Lesson 35

Mini Challenge: Lesson 35

Game Time! Drag and Drop

Worksheet: Lesson 35

Lesson 1: Recognizing the logarithm of a number to a given base as the exponent to which the base must be raised to get the number

Worked Out Example: Lesson 1

Quiz: Lesson 1

Mini Challenge: Lesson 1

Worksheet: Lesson 1

Lesson 2: Recognizing the operation of finding the logarithm to be the inverse operation

Worked Out Example: Lesson 2

Quiz: Lesson 2

Mini Challenge: Lesson 2

Worksheet: Lesson 2

Lesson 3: Determining (with technology) the approximate logarithm of a number to any base, including base 10

Worked Out Example: Lesson 3

Quiz: Lesson 3

Mini Challenge: Lesson 3

Worksheet: Lesson 3

Quiz: Lesson 4

Mini Challenge: Lesson 4

Worksheet: Lesson 4

Lesson 5: Solving simple exponential equations by rewriting them in logarithmic form

Worked Out Example: Lesson 5

Quiz: Lesson 5

Game Time! Question set

Mini Challenge: Lesson 5

Worksheet: lesson 5

Lesson 7: Making connections between laws of exponents and the laws of logarithms and verify the laws of logarithms with or without technology

Quiz: Lesson 7

Mini Challenge: Lesson 7

Worksheet: Lesson 7

Lesson 8: Using the laws of logarithms to simplify and evaluate numerical expressions

Worked Out Example: Lesson 8

Quiz: Lesson 8

Mini Challenge: Lesson 8

Worksheet: Lesson 8

Lesson 9: Laws of logs: PROOFS (log ab = log a + log b), (log a/b = log a- log b), (log a^x = x log a)

Quiz: Lesson 9

Mini Challenge: Lesson 9

Worksheet: Lesson 9

Quiz: Lesson 10

Game Time! Fill in the blanks

Mini Challenge: Lesson 10

Worksheet: Lesson 10

Lesson 11: Determining (with and without technology) key features (i.e., vertical and horizontal asymptotes, domain and range, intercepts, increasing/decreasing behaviour)

Worked Out Example: Lesson 11

Quiz: Lesson 11

Mini Challenge: Lesson 11

Worksheet: Lesson 11

Lesson 12: Using logarithms to transform a given relationship to linear form, and determine unknown constants by considering the gradient and/or intercept

Quiz: Lesson 12

Mini Challenge: Lesson 12

Worksheet: Lesson 12

Lesson 13: The relationship between an exponential function and the corresponding logarithmic function to be that of a function and its inverse

Quiz: Lesson 13

Mini Challenge: Lesson 13

Worksheet: lesson 13

Worksheet: Lesson 14/2 MERGED

Quiz: Lesson 14/2 MERGED

Game Time! Inverse Functions

Mini Challenge: Lesson 14/2 MERGED

Lesson 15: Determining the roles of the parameters d and c in functions of the form y=log10(x–d)+c & the roles of the parameters a & k in functions of the form y=alog10(kx), & describe these roles in terms of transformations on the graph of f(x)=log1

Quiz: Lesson 15

Game Time! Question set

Game Time! Find the right graph

Game Time! Find the right graph

Game Time! Find the right graph

Game Time! Find the right graph

Mini Challenge: Lesson 15

Worksheet: Lesson 15

Lesson 16/17: Explore Ln xLesson 18: Finding the equation of the inverse given the equation of an exponential or logarithmic function

Quiz: Lesson 16/17

Mini Challenge: Lesson 16/17

Worksheet: Lesson 16/17

Lesson 18: Finding the equation of the inverse given the equation of an exponential or logarithmic function

Worked Out Example: Lesson 18

Quiz: Lesson 18

Game Time! Question set

Mini Challenge: Lesson 18

Worksheet: Lesson 18

Lesson 19: Posing problems based on real-world applications of exponential and logarithmic functions and solve these problems by using a given graph or a graph generated with technology from a table of values or from its equation

Worked Out Example: Lesson 19

Quiz: Lesson 19

Game Time! Drag and drop

Mini Challenge: Lesson 19

Worksheet: Lesson 19

Lesson 20: Recognizing equivalent algebraic expressions involving logarithms and exponents, and simplify expressions of these types

Quiz: Lesson 20

Mini Challenge: Lesson 20

Worksheet: Lesson 20

Lesson 22: Solving simple logarithmic equations in one variable algebraically

Worked Out Example: Lesson 22

Quiz: Lesson 22

Mini Challenge: Lesson 22

Worksheet; Lesson 22

Lesson 23: Solving logarithmic equations, including checking for inadmissible solutions that would give a negative base or argument

Quiz: Lesson 23

Game Time! Fill in the blanks

Mini Challenge: Lesson 23

Worksheet: Lesson 23

Lesson 25: Understanding how logarithmic scales are used to measure earthquakes, sound, and acidity

Quiz: Lesson 25

Game Time! Question set

Mini Challenge: Lesson 25

Game Time! Flip and Learn

Worksheet: Lesson 25

Lesson 1: Defining the radian measure of an angle as the length of the arc that subtends this angle at the centre of a unit circle, and develop and apply the relationship between radian and degree measure

Quiz: Lesson 1

Mini Challenge: Lesson 1

Worksheet: Lesson 1

Lesson 2: Representing radian measure in terms of π and as a rational number

Quiz: Lesson 2

Mini Challenge: Lesson 2

Worksheet: Lesson 2

Lesson 3: Determining, with technology, the primary trigonometric ratios (i.e., sine, cosine, tangent) and the reciprocal trigonometric ratios (i.e., cosecant, secant, cotangent) of angles expressed in radian measure

Quiz: Lesson 3

Mini Challenge: Lesson 3

Worksheet: Lesson 3

Lesson 4: Determining, without technology, the exact values of the primary trigonometric ratios and the reciprocal trigonometric ratios for the special angles 0, π/6, π/4, π/3, π/2, and their multiples less than or equal to 2π

Worked Out Example: Lesson 4

Quiz: Lesson 4

Mini Challenge: Lesson 4

Worksheet: Lesson 4

Lesson 5: Predicting the signs of trig ratios, given the quadrant

Quiz: Lesson 5

Game Time! Question set

Mini Challenge: Lesson 5

Worksheet: Lesson 5

Lesson 6: Understanding the concept of periodic graphs

Quiz: Lesson 6

Mini Challenge: Lesson 6

Worksheet: Lesson 6

Lesson 7: Sketching the graphs of f(x) = sin x and f(x) = cos x for angle measures expressed in radians, and determine and describe some key properties in terms of radians

Quiz: Lesson 7

Mini Challenge: Lesson 7

Worksheet: Lesson 7

Lesson 8: Identifying the features (including period, amplitude, principal axis) of the basic trig graphs, including y = tan θ

Quiz: Lesson 8

Mini Challenge: Lesson 8

Worksheet: Lesson 8

Lesson 9: Understanding the connection of the vertical asymptotes in y = tan θ to the x, y, r definitions

Lesson 10: Using the basic trig graphs to determine the values of some trig ratios

Quiz: Lesson 9/10

Mini Challenge: Lesson 9/10

Worksheet: Lesson 9/10

Lesson 11: Making connections between the tangent ratio and the tangent function by using technology to graph the relationship between angles in radians and their tangent ratios (continued in next lesson)

Quiz: Lesson 11

Game Time! Fill in the blanks

Mini Challenge: Lesson 11

Worksheet: Lesson 11

Lesson 13: Making connections between the equations, graphs, and features of transformed trig functions

Quiz: Lesson 12/13

Mini Challenge: Lesson 12/13

Worksheet: lesson 12/13

Lesson 14: Graphing, with technology and using the primary trigonometric functions, the reciprocal trigonometric functions (i.e., cosecant, secant, cotangent) for angle measures expressed in radians

Quiz: Lesson 14

Mini Challenge: Lesson 14

Worksheet: Lesson 14

Lesson 15: Determining and describing key properties of the reciprocal functions

Quiz: Lesson 15

Game Time! Question set

Mini Challenge: Lesson 15

Worksheet: lesson 15

Lesson 16: Determining the amplitude, period, and phase shift of sinusoidal functions whose equations are given in the form f(x) = a sin (k(x – d)) + c or f(x) = a cos(k(x – d)) + c, with angles expressed in radians

Quiz: Lesson 16

Mini Challenge: Lesson 16

Worksheet: Lesson 16

Lesson 17: Sketching graphs of y = a sin (k(x–d)) + c a & y = a cos(k(x–d))+c by applying transformations to the graphs of f(x)=sin x & f(x)=cos x with angles expressed in radians, & state the period, amplitude, & phase shift of the transformed function

Worked Out Example: Lesson 17

Quiz: Lesson 17

Game Time! Drag and drop

Mini Challenge: Lesson 17

Worksheet: lesson 17

Lesson 18: Representing a sinusoidal function with an equation, given its graph or its properties, with angles expressed in radians

Worked Out Example: Lesson 18

Quiz: Lesson 18

Game Time! Question set

Mini Challenge: Lesson 18

Worksheet: Lesson 18

Lesson 19: Posing problems based on applications involving a trigonometric function with domain expressed in radians & solve these problems by using a given graph or a graph generated with or without technology from a table of values or from its equation

Quiz: Lesson 19

Game Time! Find the right trig functions

Mini Challenge: Lesson 19

Worksheet: Lesson 19

Quiz: Lesson 20/21

Lesson 20/21: Using special triangles to find the exact values of trig ratios for 30°, 45°, and 60°

Mini Challenge: Lesson 20/21

Worksheet: Lesson 20/21

Lesson 22: Solving simple trig equations with a calculator but without using graphing technology

Quiz: Lesson 22

Mini Challenge: Lesson 22

Worksheet: Lesson 22

Lesson 24: Finding all the solutions of simple trigonometric equations lying in a specified interval (general forms of solution are not included)

Quiz: Lesson 23/24

Game Time! Drag and drop

Mini Challenge: Lesson 23/24

Worksheet: Lesson 23/24

Lesson 25/26: Exploring the algebraic development of the compound angle formulas and use the formulas to determine exact values of trigonometric ratios

Quiz: Lesson 25/26

Game Time! Drag and drop

Game Time! Dialog Cards

Mini Challenge: Lesson 25/26

Worksheet: lesson 25/26

Lesson 27: Recognize that trigonometric identities are equations that are true for every value in the domain

Quiz: Lesson 27

Mini Challenge: Lesson 27

Worksheet: Lesson 27

Lesson 28: Using trig identities for the simplification and exact evaluation of expressions

Worked Out Example: Lesson 28

Quiz: Lesson 28

Mini Challenge: Lesson 28

Worksheet: lesson 28

Lesson 29: Selecting an identity or identies appropriate to the context (Include: Sec2θ = 1 + tan2θ and cosec2θ = 1 + cot2θ, The expansions of sin (A+ B), cos(A+ B) and tan(A+ B), The formulae for sin2A, cos2A and tan2A , The expression of a sinθ + b cosθ

Quiz: Lesson 29

Game Time! True or false

Game Time! Find the correct solution

Mini Challenge: Lesson 29

Worksheet: Lesson 29

Lesson 30: Solving linear and quadratic trigonometric equations, with and without graphing technology, for the domain of real values from 0 to 2π, and solve related problems (could be split into two lessons if too much)

Quiz: Lesson 30

Game Time! Drag and drop

Mini Challenge: Lesson 30

Game Time! Memory Game

Worksheet: Lesson 30

Let's Tinker!

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

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