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Unit I: Graphing to Solve Problems 55 – 62 days
Module: Working with Expressions and Equations 17-20 days
Lesson: Properties of Expressions 3 - 4 days
Topic Standards, Learning Objectives and Assessments
Commutative Property
Standards: A-SSE. A.2 Learning Objectives:
Define the commutative property and determine the operations in which it holds true
Associative Property
Standards: A-SSE. A.2 Learning Objectives:
Define the associative property and determine the operations in which it holds true
The Distributive Law
Standards: A-SSE.A.1, A-SSE.A.2 Learning Objectives:
Define the distributive law
Apply the distributive law as an alternative to order of operations and to expand expressions
Exercises Assessing: A-SSE.A.1, A-SSE.A.2 See Properties of Expressions Worksheet Solutions
Lesson: Working with One Variable 6 - 7 days
Topic Standards, Learning Objectives and Assessments
Number Sentences and Algebraic Equations
Standards: A-REI.B.3, A-SSE.A.1b Learning Objectives:
Understanding the elements and differences of number sentences and algebraic equations
Review how to solve equations
Solving Equations
Standards: A-REI.A.1,A-REI.B.3 Learning Objectives:
Solve equations and represent the solution as a solution set, a number line and in standard form
Exercises 1
Assessing: A-REI.B.3 See Solving Equations in One Variable Worksheet Solutions
Solving Inequalities
Standards: A-REI.B.3 Learning Objectives:
Solve and graph inequalities
Determine values within the solution set
Exercises 2
Assessing: A-REI.B.3 See Solving Inequalities in One Variable Worksheet Solutions
Solution Sets for Multiple Equations
Standards: A-SSE.A.2, A-REI.B.3 Learning Objectives:
Identify the difference between two equations joined by "and" and "or"
Solve for a solution set for multiple equations under the given restrictions
Exercises 3
Assessing: A-SSE.A.2, A-REI.B.3 See Solving Equations and Inequalities in One Variable Worksheet Solutions
The Zero Property
Standards: A-CED.A.3 Learning Objectives:
Understand the Zero Property and how it can be applied as a restriction
Solving Equations with Variables in the Denominator
Standards: A-CED.A.3, A-CED.A.4 Learning Objectives:
State the restrictions for an equation Rewrite equations with variables in the denominator as a
compound statement Apply the Zero Property when solving equations and
determine if the solution is true based on the restrictions Rearrange formulas to isolate for a specific variable using
triangles or algebraic methods
Exercises 4
Assessing: A-REI.A.1, A-CED.A.3, A-CED.A.4 See Solving Equations with a Variable in the Denominator Worksheet Solutions
Big Ideas Alignment Opportunity 1.1, 1.5
Lesson: Working with Two Variables 6 - 7 days
Topic Standards, Learning Objectives and Assessments
Review Learning Objectives:
Review the concepts necessary for the unit
Solution Sets to Equations with Two Variables
Standards: A-REI.D.10 Learning Objectives:
Solve for solutions to linear equations with two variables
Show that every point on a line is a solution to a linear equation
State restrictions on application problems and solve for a given value
Solution Sets to Inequalities with Two Variables
Standards: A-REI.D.12 Learning Objectives:
Graph inequalities with two variables and determine the solution
Compare how a solution to an inequality is different than a solution to a linear equation
Justify the reasonableness of solutions to application problems
Exercises 1 Assessing: A-REI.D.10,A-REI.D.12 See Solving Equations and Inequalities in Two Variables Worksheet Solutions
Solution Sets to Simultaneous Equations
Standards: A-REI.C.5,A-REI.C.6 Learning Objectives:
Graph simultaneous linear equations and inequalities and highlight the solution
Determine the solution to simultaneous equations by substitution, elimination and graphing
Determine the intersection of simultaneous inequalities by graphing
Exercises 2 Assessing: A-REI.C.6 See Simultaneous Equations and Inequalities Worksheet Solutions
Big Ideas Alignment Opportunity 1.2, 1.3, 5.2, 5.3, 5.4, 5.6, 5.7
Lesson: Module End 2 days
Exit Card
Module Assignment Assessing: A-SSE.A.1a, A-SSE.A.1b, A-SSE.A.2, A-APR.A.1 See Assignment Solutions
Module : Defining Functions 8 – 9 days
Lesson: Relations and Functions 3 - 4 days
Topic Standards, Learning Objectives and Assessments
Understanding Relations Standards: F-IF.A.1 Learning Objectives:
Define the term relation, and understand their different representations.
Identifying Functions Standards: F-IF.A.1 Learning Objectives:
Define the term function and understand the relationship between relations and functions.
Identify whether a given relation is a function or not using the vertical line test and other methods.
Use function notation to evaluate functions and apply these to real-life contexts.
Exercises Assessing: F-IF.A.1 See Relations and Functions Worksheet Solutions
Big Ideas Alignment Opportunity 3.1
Lesson: Function Notation 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Introduction Standards: F-IF.A.2 Learning Objectives:
Write equations using function notation.
Evaluate and interpret statements that use function notation.
Exercises Assessing: F-IF.A.2, F-BF.A.1a See Function Notation Worksheet Solutions
Big Ideas Alignment Opportunity 3.3
Lesson: Domain and Range 2 days
Topic Standards, Learning Objectives and Assessments
Domain and Range Standards: F-IF.A.1, F-IF.B.5 Learning Objectives:
Define the terms domain and range. Determine the domain and range of a function and
interpret their meaning in a real-life context.
Exercises Assessing: F-IF.A.1, F-IF.B.5 See Domain and Range Worksheet Solutions
Lesson: Module End 2 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: F-IF.A.1, F-IF.A.2, F-IF.B.5, F-BF.A.1a See Assignment Solution There is also an optional worksheet for students to fill in while collecting their data – See Assignment Worksheet
Module : Graphing Functions 12 days
Lesson: Graphing Stories 4 days
Topic Standards, Learning Objectives and Assessments
Linear Piecewise Graphs Standards:F-IF.C.7, F-IF.C.7a, F.LE.A.1.B, F.IF.B.4 Learning Objectives:
Using videos and scenarios sketch the graph using Linear Piecewise Functions
Exercises 1 Assessing: F-IF.C.7, F-IF.C.7a, F.IF.B.4 See Graphing Stories Worksheet Solutions
Big Ideas Alignment Opportunity 3.2
Graphs of Quadratic Functions Standards: F-IF.C.7, F-IF.C.7a, F.IF.B.4 Learning Objectives:
Using videos and scenarios sketch the graph using Quadratic Functions.
Exercises 2 Assessing: F-IF.C.7, F-IF.C.7a, F.IF.B.4 See Graphing Stories Worksheet 2 Solutions
Graphs of Exponential Functions Standards: F.LE.A.1, F.LE.A.3, F.IF.B.4 Learning Objectives:
Using videos and scenarios sketch the graph using Exponential Functions.
Exercises 3 Assessing: F-IF.B.5, F-IF.C.7, F-IF.C.7a, F.IF.B.4 See Graphing Stories Worksheet 3 Solutions
Big Ideas Alignment Opportunity 6.3
Graphs of Two Stories Standards: F.IF.B.4, F.IF.C.9 Learning Objectives:
Using videos and scenarios, sketch the graph and interpret the resulting graph
Exercises 4 Assessing: F.IF.B.4, F.IF.C.9 See Graphing Stories Worksheet 4 Solutions
Lesson: Linear Functions 4 days
Topic Standards, Learning Objectives and Assessments
Graphing Linear Functions Standards: F-IF.A.1, F-IF.C.7, F-IF.C.7a Learning Objectives:
Graph linear functions using a table of values Understand partial and direct variation.
Using the Slope Standards: F-IF.B.5, F-IF.C.7, F-IF.C.7a Learning Objectives:
Graph linear functions using their slope and y-intercept
Exercises 1 Assessing: F-IF.B.5, F-IF.C.7, F-IF.C.7a See Linear Functions Worksheet Solutions
Slope as a Rate of Change Standards: F-IF.B.6 Learning Objectives:
Apply the slope of a linear function to solve problems involving average rate of change.
Intercepts Standards: F-IF.B.4, F-IF.C.7, F-IF.C.7a Learning Objectives:
Identify the intercepts of a function, their relevance and use them to answer questions in a real-life context.
Important Intervals Standards: F-IF.B.4, F-IF.C.7, F-IF.C.7a Learning Objectives:
Identify and use interval notation to describe intervals of increase and decrease, as well as positive and negative intervals.
Exercises 2 Assessing: F-IF.B.4, F-IF.C.7, F-IF.C.7a See Linear Functions Worksheet 2 Solutions
Big Ideas Alignment Opportunity 3.4, 3.5, 4.1, 4.2, 4.3
Lesson: Exponential Functions 3 days
Topic Standards, Learning Objectives and Assessments
Graphing Exponential Functions Standards: F-IF.B.5, F-IF.C.7, F-IF.C.7e, F-LE.B.5 Learning Objectives:
Graph exponential functions and identify their domain and range
Using Technology Standards: F-IF.C.7, F-IF.C.7e Learning Objectives:
Use technology to graph exponential functions
Exercises 1 Assessing: F-IF.B.5, F-IF.C.7, F-IF.C.7e See Exponential Functions Worksheet Solutions
Important Features Standards: F-IF.B.4, F-IF.C.7, F-IF.C.7e Learning Objectives:
Identify the intercepts of a function, their relevance and use them to answer questions in a real-life context.
Identify and use interval notation to describe intervals of increase and decrease, as well as positive and negative intervals.
Identify and describe the end behaviours of an exponential function.
Average Rate of Change Standards: F-IF.B.6 Learning Objectives:
Estimate the average rate of change of an exponential function from its graph.
Exercises 2 Assessing: F-IF.B.4, F-IF.B.6, F-IF.C.7, F-IF.C.7e See Exponential Functions Worksheet 2 Solutions
Big Ideas Alignment Opportunity 6.1, 6.2, 6.3
Lesson: Module End 2 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Discussion Standards: F-IF.C.9 Learning Objectives:
Compare two functions and describe their similarities and differences.
See Discussion Prompts
There is also an Extend Your Learning Solution – See Extend Your Learning: Instantaneous Rate of Change Solution
Module : Using Graphs to Solve Problems 11 - 12 days
Lesson: Solving Problems with Linear Models 2 days
Topic Standards, Learning Objectives and Assessments
Using Technology Standards: A.REI.C.6 Learning Objectives:
Solve (approximately, in some cases) for a solution to a system using graphing technology
Creating Linear Models Standards: A.REI.C.6, A-CED.A.2, A-REI.D.11, F-BF.A.1 Learning Objectives:
Create linear models to solve application problems for equations and inequalities with two variables
Exercises Assessing: A.REI.C.6, A-CED.A.2, A-REI.D.11, F-BF.A.1 See Creating Linear Models Worksheet Solutions
Big Ideas Alignment Opportunity 5.1
Lesson: Solving Problems with Exponential Models 4 - 5 days
Topic Standards, Learning Objectives and Assessments
Exponential Growth Standards: F-IF.8b, F-LE.A.1c, F-LE.A.2, F-BF.A.1a, F-LE.B.5 Learning Objectives:
Create a model for exponential growth
Exponential Decay Standards: F-IF.8b, F-LE.A.1c, F-LE.A.2, F-BF.A.1a, F-LE.B.5 Learning Objectives:
Create a model for exponential decay
Exercises 1 Assessing: F-LE.A.1c, F-BF.A.1a, F-LE.B.5 See Exponential Growth and Decay Worksheet Solutions
Financial Applications Standards: F-LE.A.1, F-BF.A.1a Learning Objectives:
Begin an explanation of finances, including simple interest examples to improve financial literacy
Exercises 2 Assessing: F-LE.A.1, F-BF.A.1a See Financial Applications Worksheet Solutions
Compound Interest Standards: A-CED.A.4, A-REI.C.6 Learning Objectives:
Apply exponential models to personal finance contexts Manipulate interest formulas to answer different real-life
problems
Exercises 3 Assessing: F-LE.B.5 See Financial Application of Exponential Equations Worksheet Solutions
Lesson: Analyzing Rates of Change 3 days
Topic Standards, Learning Objectives and Assessments
Analyzing Change Standards: F-IF.B.6 Learning Objectives:
Analyze distance-time graphs to determine the speed of an object
Exercises 1 Assessing: F-IF.B.6 See Analyzing Change Worksheet Solutions
Connecting Graphs Standards: F-IF.B.6 Learning Objectives:
Calculate rates of change from different contexts
Instantaneous Rates Standards: F-IF.B.6 Learning Objectives:
Define the term relation, and understand their different representations.
Exercises 2 Assessing: F-IF.B.6 See Average and Instantaneous Rate of Change Worksheet Solutions
Big Ideas Alignment Opportunity 8.6
Lesson: Module End 2 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: F-IF.A.1, F-IF.A.2, F-IF.B.5 See Assignment Solutions There is also an Extend Your Learning Solution – See Extending Your Learning: Speed-Time Graphs
Module : Sequences 7 - 9 days
Lesson: Arithmetic Sequences 3 days
Topic Standards, Learning Objectives and Assessments
Exploring Sequences Standards: F-LE.A.3, F-LE.A.1b Learning Objectives:
Explore arithmetic sequences and identify the pattern of common differences.
Understand and use the two types of formulas for arithmetic sequences; recursive and non-recursive.
Exercises 1 Assessing: F-LE.A.3, F-LE.A.1b See Arithmetic Sequences Worksheet 1 Solutions
Expressing Sequences Standards: F-IF.A.3, F-LE.A.1b Learning Objectives:
Express sequences as either recursive or non-recursive Understand and use the two types of formulas for
arithmetic sequences; recursive and non-recursive.
Exercises 2 Assessing: F-LE.A.3, F-LE.A.1b See Arithmetic Sequences Worksheet 2 Solutions
Arithmetic Sequences as Functions Standards: F-IF.A.3, F-LE.A.1ab, F-LE.A.2 Learning Objectives:
Compare arithmetic sequences to general knowledge of linear functions.
Incorporate function notation into sequences.
Exercises 3 Assessing: F-LE.A.3, F-LE.A.1b See Arithmetic Sequences Worksheet 3 Solutions
Summary Standards: F-IF.A.3, F-LE.A.1b, F-LE.A.2
Lesson: Geometric Sequences 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Introduction Standards: F-IF.A.3, F-LE.A.1c Learning Objectives:
Explore geometric sequences and identify the patter of common ratios.
Exercises 1 Assessing: F-IF.A.3, F-LE.A.1c, F-LE.A.2 See Geometric Sequences Worksheet Solutions
Expressing Geometric Sequences Standards: F-IF.A.3, F-LE.A.1ac, F-LE.A.2 Learning Objectives:
Express sequences as either recursive or non-recursive
Understand and use the two types of formulas for arithmetic sequences; recursive and non-recursive.
Exercises 2 Assessing: F-IF.A.3, F-LE.A.1c, F-LE.A.2 See Geometric Sequences Worksheet 2 Solutions
Geometric Sequences as Functions Standards: F-IF.A.3, F-LE.A.1ac, F-LE.A.2 Learning Objectives:
Understand and use the formula for geometric sequences Compare geometric sequences to general knowledge of
exponential functions.
Exercises 3 Assessing: F-IF.A.3, F-LE.A.1c, F-LE.A.2 See Geometric Sequences Worksheet 3 Solutions
Summary Standards: F-IF.A.3, F-LE.A.1c, F-LE.A.2
Lesson: Recursive Sequences 1 - 2 days
Topic Standards, Learning Objectives and Assessments
The Fibonacci Sequence Standards: F-IF.A.3 Learning Objectives:
Recognize that sequences sometimes cannot be defined as geometric or arithmetic
Use the Fibonacci sequence to understand the behaviour of a recursive sequence.
See Additional Lesson Material for Fibonacci’s Sequence
Exercises Assessing: F-IF.A.3 See Recursive Sequences Worksheet Solutions
Lesson: Module End 1 day
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: F-IF.A.2, F-IF.A.3, F-BF.A.1a, F-LE.A.2
See Assignment Solutions
There is also two Extend Your Learning Solutions – Extend Your Learning: Arithmetic and Geometric Sequences
Extend Your Learning: Domain and Range Solution
Unit II: Reasoning with Polynomial Functions
Module: Working with Polynomial Functions 17-25 days
Lesson: Classifying and Simplifying Polynomials 1-2 days
Topic Standards, Learning Objectives and Assessments
Introduction to Polynomials
Standards: A-SSE.A.1a,b, A-SSE.A.2, A-APR.A.1 Learning Objectives:
Define the terms associated with polynomials Classify the different types of polynomials Combine like terms to simplify polynomials Understand that polynomials are closed under
addition and subtraction
Exercises
Assessing: A-SSE.A.1a,b, A-SSE.A.2 See Polynomial Operations Worksheet 1 Solutions
Big Ideas Alignment Opportunity 7.1
Lesson: Multiplying Polynomials 1-2 days
Topic Standards, Learning Objectives and Assessments
Multiplying Polynomials
Standards: A-SSE.A.2, A-APR.A.1, N-RN.A.1, N-RN.A.2
Learning Objectives:
Apply exponent laws to multiply polynomials and then simplify the expression
Understand the different ways to rewrite a fraction as an exponent
Understand that polynomials are closed under multiplication
Exercises
Assessing: A-APR.A.1, A-SSE.A.2 See Polynomial Operations Worksheet 2 Solutions
Big Ideas Alignment Opportunity 7.2
Lesson: Types of Polynomials and Key Features 4 days
Topic Standards, Learning Objectives and Assessments
Introducing Polynomials Standards: A-SSE.A.1a Learning Objectives:
Define a polynomial function Review classification of polynomial, simplifying
polynomials and multiplying polynomials
Overview of Polynomial Shapes Standards: F-IF.B.4, F-IF.C.7c
Learning Objectives:
o Overview the general characteristics of polynomial functions.
o Identify patterns in even degree and odd degree polynomial functions, in regards to end behavior, number of turns, number of x-intercepts and general shape
Determining Shapes from Equations
Standards: F-IF.B.4
Learning Objectives:
Summarize the general characteristics of polynomial functions
Sketch the general shape of a polynomial from its equation.
Exercises Assessing: F-IF.B.4, F-IF.C.7c See Types of Polynomials and Key Features Worksheet Solutions Worksheet 2 Solutions
Lesson: Factoring Techniques: Common Factoring 1-2days
Topic Standards, Learning Objectives and Assessments
Common Factoring Standards: A-SSE.A.2
Learning Objectives:
Using the greatest common factor, common factor polynomial expressions.
Exercises Assessing: A-SSE.A.2 See Common Factor Worksheet Solutions
Big Ideas Alignment Opportunity 7.3
Lesson: Factoring Techniques: Simple Trinomials 1-2 days
Topic Standards, Learning Objectives and Assessments
Simple Trinomials Standards: A-SSE.A.2
Learning Objectives:
Factor trinomials where a = 1.
Exercises Assessing: A-SSE.A.2 See Factoring Simple Trinomials Worksheet Solutions
Big Ideas Alignment Opportunity 7.5
Lesson: Factoring Techniques: Complex Trinomials 1-2 days
Topic Standards, Learning Objectives and Assessments
Factoring Complex Trinomials Standards: A-SSE.A.2
Learning Objectives:
Factor trinomials where a ≠ 1.
Exercises Assessing: A-SSE.A.2 See Factoring Complex Trinomials Worksheet Solutions
Big Ideas Alignment Opportunity 7.6
Lesson: Factoring Techniques: Perfect and Differences of Squares 1-2 days
Topic Standards, Learning Objectives and Assessments
Perfect and Differences of Squares Standards: A-SSE.A.2
Learning Objectives:
Identify polynomials in the form of difference of squares and perfect square trinomials, and use the appropriate method to factor these types of expressions.
Exercises Assessing: A-SSE.A.2 See Perfect and Difference of Squares Worksheet Solutions
Big Ideas Alignment Opportunity 7.7
Lesson: Factoring Techniques: Factoring by Grouping 1-2 days
Topic Standards, Learning Objectives and Assessments
Factoring by Grouping Standards: A-SSE.A.2
Learning Objectives:
Factor expressions with four terms by using the grouping method.
Exercises Assessing: A-SSE.A.2 See Factor by Grouping Worksheet Solutions
Big Ideas Alignment Opportunity 7.8
Lesson: Using Polynomial Features to Sketch Functions 3 days
Topic Standards, Learning Objectives and Assessments
Using the Zeros of a Function Standards: A-SSE.A.2, F-IF.C.8
Learning Objectives:
Learn the square root principles Learn the zero product property Identify the x-intercepts of a polynomial function by
applying factoring techniques and the zero product property.
Create more accurate sketches of polynomial functions by using the zeros of a function.
Exercises Assessing: A-SSE.B.3, A-APR.B.3, F-IF.C.7c, F-IF.C.8 See Using Polynomial Features to Sketch Functions Worksheet Solutions
Big Ideas Alignment Opportunity 8.5
Lesson: Module End 3-4 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: A-CED.A.2, F-IF.B.4, F-IF.C.7c
Module : Examining Quadratic Functions in More Detail 14 - 17 days
Lesson: Quadratic Functions 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Key Features of Quadratic Functions
Standards: F-IF.C.7a Learning Objectives:
Examine the key features of quadratic functions in greater depth.
Identify the vertex, axis of symmetry, minimums, and maximums of quadratic functions.
Use second differences to identify quadratic functions. Use the leading coefficient of quadratic functions to determine
the shape.
Exercises Assessing: F-IF.C.7a See Quadratic Functions Worksheet Solutions
Big Ideas Alignment Opportunity 8.1, 8.2, 8.3
Lesson: The Forms of Quadratic Functions 1 - 2 days
Topic Standards, Learning Objectives and Assessments
The Forms of Quadratic Functions Standards: A-SSE.B.3a, F-IF.C.8a Learning Objectives:
Understand that quadratic functions can be represented in different, interchangeable forms: the standard form, the factored form, and the vertex form.
Identify which properties can be read and/or easily calculated from each form.
Exercises Assessing: A-SSE.B.3a, F-IF.C.8a See Quadratic Functions Worksheet 2 Solutions
Big Ideas Alignment Opportunity 8.4
Lesson: Solving Quadratic Functions By Inspection 2 days
Topic Standards, Learning Objectives and Assessments
Solving Quadratic Functions Standards: A-REI.B.4b Learning Objectives:
Solve quadratic functions by inspection
Exercises Assessing: A-REI.B.4b See Quadratic Functions Worksheet 3 Solutions
Big Ideas Alignment Opportunity 7.4
Lesson: Solving Quadratic Functions By Applying Factoring Techniques 2 days
Topic Standards, Learning Objectives and Assessments
Applying Factoring Techniques Standards: A-SSE.B.3a, A-REI.B.4b, F-IF.C.8a Learning Objectives:
Solve quadratic functions by applying factoring techniques.
Exercises Assessing: A-SSE.B.3a, A-REI.B.4b, F-IF.C.8a See Solving Quadratic Functions Worksheet 1
Lesson: Solving Quadratic Functions By Using the Quadratic Formula 2 days
Topic Standards, Learning Objectives and Assessments
Applying the Quadratic Formula Standards: A-REI.B.4b Learning Objectives:
Solve quadratic functions by applying the quadratic formula.
Exercises Assessing: A-REI.B.4b
See Solving Quadratic Functions Worksheet 2
Big Ideas Alignment Opportunity 9.5
Lesson: Solving Quadratic Functions By Completing the Square 2 days
Topic Standards, Learning Objectives and Assessments
Completing the Square Standards: A-SSE.B.3b, A-REI.B.4a,b, F-IF.C.8a Learning Objectives:
Solve quadratic functions by completing the square
Exercises Assessing: A-SSE.B.3b, A-REI.B.4a,b, F-IF.C.8a See Solving Quadratic Functions Worksheet 3
Big Ideas Alignment Opportunity 9.4
Lesson: Applying Quadratic Function Applications 2 days
Topic Standards, Learning Objectives and Assessments
Quadratic Function Applications Standards: A-REI.B.4a,b Learning Objectives:
Apply quadratic functions to real-world problems, and utilize the key features, different forms, and solving techniques from the module to answer these types of problems.
Exercises Assessing: A-REI.B.4a,b, F-IF.C.9 See Solving Quadratic Functions Worksheet 4
Lesson: Module End 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: F-IF.C.7a, F.IF.C.8a, A-SSE.B.3a,b, A-REI.B.4a.b See Assignment Solutions There is also an Extend Your Learning Solution – See Extend Your Learning: Deriving the Quadratic Formula
Module : Transforming Functions 9 - 15 days
Lesson: Vertical Shifts 1 - 2 days
Topic Standards, Learning Objectives and Assessments
The c Value and Vertical Shifts Standards: F-BF.B.3, IF.C.7a Learning Objectives:
Adapt equations of functions to shift a function vertically
Exercises Assessing: F-BF.B.3 See Vertical Shifts Worksheet Solutions
Big Ideas Alignment Opportunity 3.6
Lesson: Horizontal Shifts 1 - 2 days
Topic Standards, Learning Objectives and Assessments
The d Value and Horizontal Shift Standards: F-BF.B.3, IF.C.7a Learning Objectives:
Adapt equations of functions to shift a function horizontally
Exercises Assessing: F-BF.B.3 See Horizontal Shifts Worksheet Solutions
Lesson: Vertical Stretches 1 - 2 days
Topic Standards, Learning Objectives and Assessments
The a Value and Vertical Stretches Standards: F-BF.B.3, IF.C.7a Learning Objectives:
Adapt equations of functions to stretch or compress a function vertically.
Exercises Assessing: F-BF.B.3 See Vertical Stretches Worksheet Solutions
Lesson: Horizontal Stretches 1 - 2 days
Topic Standards, Learning Objectives and Assessments
The k Value Standards: F-BF.B.3, IF.C.7a Learning Objectives:
Adapt equations of functions to stretch or compress a function horizontally.
Exercises Assessing: F-BF.B.3 See Horizontal Stretches Worksheet Solutions
Lesson: Multiple Transformations 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Summary of Transformations Standards: F-BF.B.3 Learning Objectives:
Combine transformations to modify a graph in a number of ways.
Sketching Transformations Standards: F-BF.B.3 Learning Objectives:
Define the term relation and understand their different representations.
Exercises Assessing: F-BF.B.3 See Multiple Transformations Worksheet Solutions
Lesson: Even and Odd Functions 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Defining Even and Odd Functions Standards: F-BF.B.3 Learning Objectives:
Define the terms even and odd. Look at the difference between even and odd functions
algebraically and graphically.
Effects of Transformations Standards: F-BF.B.3 Learning Objectives:
Investigate if functions stay even or odd after transformations are applied.
Exercises Assessing: F-BF.B.3 See Even and Odd Functions Worksheet Solutions
Lesson: Module End 2 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Quiz Assessing: F-BF.B.3
Module : Manipulation Functions 6 - 10 days
Lesson: Sums and Differences of Functions 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Sums and Differences of Functions Standards: A-APR.A.1 Learning Objectives:
Understand and calculate a sum function and a difference function given two functions.
Exercises Assessing: A-APR.A.1 See Sums and Differences of Functions Solutions
Lesson: Products and Quotients of Functions 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Products and Quotients of Functions
Standards: A-APR.A.1 Learning Objectives:
Understand and calculate a product and a quotient function given two functions.
Exercises Assessing: A-APR.A.1, F-BF.A.1b See Products and Quotients of Functions Solutions
Lesson: Understanding an Inverse 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Understanding an Inverse Standards: F-BF.B.4a Learning Objectives:
Understand how an inverse function reverses the operations of the original function.
Overview of the properties of inverse functions.
Determining an Inverse Standards: F-BF.B.4a Learning Objectives:
Determine the inverse of a function represented by a set of ordered pairs, a written description, and a graph.
Exercises Assessing: F-BF.B.4a See Finding an Inverse Worksheet Solutions
Lesson: Calculating an Inverse 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Calculating an Inverse Standards: F-BF.B.4a Learning Objectives:
Calculate the inverse of a function, given its algebraic expression.
Exercises Assessing: F-BF.B.4a See Calculating an Inverse Worksheet Solutions
Lesson: Module End 2 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Quiz Assessing: A-APR.A.1, F-BF.A.1b, F-BF.B.4a
Unit III: Modeling and Problem Solving 20-29 days
Module: Modeling Linear Functions 4 - 5 days
Lesson: Exploring Linear Models 2 days
Topic Standards, Learning Objectives and Assessments
Splitting the Bill
Standards: A-CED.A.1, A-REI.A.1, A-REI.B.3 Learning Objectives:
Create an equation in one variable and use it to solve a problem.
Explain each step in solving a simple problem Construct a viable argument to justify a solution method.
Splitting the Bill… Again
Standards: A-CED.A.1, A-REI.A.1, A-REI.B.3 Learning Objectives:
Create an equation in one variable and use it to solve a problem.
Explain each step in solving a simple problem Construct a viable argument to justify a solution method.
Exercises Assessing: A-CED.A.1, A-REI.A.1, A-REI.B.3 Learning Objectives:
Create an equation in one variable and use it to solve a problem.
Explain each step in solving a simple problem Construct a viable argument to justify a solution method.
See Exploring Linear Models Worksheet Solutions
Lesson: Module End 2 - 3 days
Exit Card
Module Assignment Assessing: A-CED.A.1, A-REI.A.1, A-REI.B.3 There are three solutions depending on the assignment chosen
See The Music Studio Solutions
See The Assembly Line Solutions
See The Sales Membership Solutions
Big Ideas Alignment Opportunity 5.5
Module : Modeling with Exponential Functions 4 - 6 days
Lesson: Exploring Exponential Models 2 - 3 days
Topic Standards, Learning Objectives and Assessments
The Explosive Growth of Bacteria! Standards: A-CED.A.1, F-IF.C.7e, F-LE.A.2 Learning Objectives:
Create exponential equations in one variable to and use them to solve problems.
Graph exponential functions by hand or using technology, showing intercepts and end behaviour.
Construct exponential functions, from a description of a relationship.
See The Explosive Growth of Bacteria! Solutions
Keeping Bacteria Under Control Standards: A-CED.A.1, F-IF.C.7e Learning Objectives:
Create exponential equations in one variable to and use them to solve problems.
Graph exponential functions by hand or using technology, showing intercepts and end behaviour.
See Keeping Bacteria Under Control Solutions
Exercises Assessing: A-CED.A.1, F-IF.C.7e, F-LE.A.2 Answers will vary so there is no solution.
Lesson: Module End 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: A-CED.A.1, F-IF.C.7e, F-LE.A.2 See Sample Student Modeling with Exponential Functions Activity
Module : Modeling with Systems of Inequalities 4 - 6 days
Lesson: Exploring Systems of Inequalities 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Minimizing the Cost Standards: A-CED.A.2, A-CED.A.3, A-REI.D.12, N-Q.A.1, N-Q.A.2, N-Q.A.3 Learning Objectives:
Create equations in two or more variables to represent relationships between quantities.
Represent constraints by systems of inequalities and interpret solutions in a modeling context.
Graph the solutions of a linear inequality in two variables as a half-plane.
Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Maximizing Profits Standards: A-CED.A.2, A-CED.A.3, A-REI.D.12, N-Q.A.1, N-Q.A.2, N-Q.A.3 Learning Objectives:
Create equations in two or more variables to represent relationships between quantities.
Represent constraints by systems of inequalities and interpret solutions in a modeling context.
Graph the solutions of a linear inequality in two variables as a half-plane.
Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Exercises Assessing: A-CED.A.2, A-CED.A.3, A-REI.D.12, N-Q.A.1, N-Q.A.2, N-Q.A.3
See Exploring Systems of Inequalities Worksheet Solutions
Lesson: Module End 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: A-CED.A.2, A-CED.A.3, A-REI.D.12
See Maximizing Profits Solutions
Big Ideas Alignment Opportunity 5.6, 5.7
Module : Modeling Other Functions 4 - 6 days
Lesson: Exploring Other Models 2 - 3 days
Topic Standards, Learning Objectives and Assessments
The Absolute Value Function Standards: F-IF.C.7b Learning Objectives:
Graph the absolute value functions.
The Absolute Value Function… Again Standards: F-IF.C.7b Learning Objectives:
Identify the effect of changing the parameters in the absolute value function.
Exercises Assessing: F-IF.C.7b See The Cube Root Function Solutions
Lesson: Module End 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: F-IF.C.7b See The Square Root Function Solutions
Big Ideas Alignment Opportunity 1.4, 3.7
Module : Modeling with Polynomials and Piecewise Functions 4 - 6 days
Lesson: Exploring Polynomials and Piecewise Functions 3 - 4 days
Topic Standards, Learning Objectives and Assessments
Discrete or Continuous Standards: F-IF.C.7b Learning Objectives:
Recognize the difference between a continuous or discrete function.
Using Piecewise Models Standards: F-IF.C.7b Learning Objectives:
Graph piecewise defined functions, including step functions.
Piecewise Graphing Stories Standards: F-IF.C.7b Learning Objectives:
Determine linear piecewise-defined functions based on a graph of the motion or object.
Exercises Standards: F-IF.C.7b Learning Objectives:
Determine linear piecewise-defined functions based on a graph of the motion or object.
See Exploring Polynomial and Piecewise Functions Worksheet Solutions
Lesson: Module End 1 - 2 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Assignment Assessing: F-IF.C.7b See The Flexible Data Plan Solutions
Unit IV: Data Management 26 - 29 days
Module: One Variable Statistics 13 - 14 days
Lesson: Representing Data 4 days
Topic Standards, Learning Objectives and Assessments
Creating Bar Graphs
Standards: S-ID.1 Learning Objectives:
Examine discrete data and create bar graphs to represent data sets visually.
Creating Histograms
Standards: S-ID.1 Learning Objectives:
Examine continuous data and note how it behaves differently from discrete data.
Create histograms to represent these types of data sets visually.
Exercises 1 Assessing: S-ID.1 See Representing Data Worksheet 1 Solutions
Using Data Frequency
Standards: S-ID.1 Learning Objectives:
Use frequency tables to create frequency polygons.
Understand relative frequency, and create relative frequency histograms and polygons.
Use cumulative frequency to create graphs and interpret the shape of data.
More Representations
Standards: S-ID.1 Learning Objectives:
Identify other types of representations; a pie chart, for example.
Study different, creative representations and look for misleading data.
Exercises 2 Assessing: S-ID.1 See Representing Data Worksheet 2 Solutions
Lesson: Measures of Central Tendency 4 - 5 days
Topic Standards, Learning Objectives and Assessments
Measuring Data
Standards: S-ID.2, S-ID.3 Learning Objectives:
Calculate mean, median and mode for data sets. Understand how the three measures can give a different
idea of the center of the data set.
Calculation Examples
Standards: S-ID.2, S-ID.3 Learning Objectives:
Calculate mean, median and mode for data sets.
Choosing a Measure
Standards: S-ID.2, S-ID.3 Learning Objectives:
Think critically about the type of data, and determine which measure of central tendency will give the best description.
Exercises 1
Assessing: S-ID.2, S-ID.3 See Measures of Central Tendency Worksheet 1 Solutions
Weighted Data
Standards: S-ID.2, S-ID.3 Learning Objectives:
Calculate the mean of weighted data.
Grouped Data
Standards: S-ID.2, S-ID.3 Learning Objectives:
Calculate the mean, median and mode of grouped data.
Interpreting Shapes
Standards: S-ID.2, S-ID.3 Learning Objectives:
Compare a data set's mean, median and mode to determine if the data is symmetrical, positively skewed or negatively skewed.
Exercises 2
Assessing: S-ID.2, S-ID.3 See Measures of Central Tendency Worksheet 2 Solutions
Big Ideas Alignment Opportunity 11.1
Lesson: Dispersion and Deviation 3 days
Topic Standards, Learning Objectives and Assessments
The Spread of Data Standards: S-ID.1, S-ID.2, S-ID.3 Learning Objectives:
Calculate the range, quartiles and inter-quartile range for a set of data.
Create box and whisker diagrams to display this information.
Understand the idea of dispersion.
Measures of Spread Standards: S-ID.2, S-ID.3 Learning Objectives:
Calculate the standard deviation of a set of data.
Using Technology Standards: S-ID.2, S-ID.3 Learning Objectives:
Use Excel to calculate the standard deviation See Creating a Histogram Using Excel
Exercises Assessing: S-ID.1, S-ID.2, S-ID.3 See Dispersion and Deviation Worksheet Solutions
Big Ideas Alignment Opportunity 11.2
Lesson: Module End 2 days
Exit Card
Module Assignment Assessing: S-ID.1, S-ID.2, S-ID.3 See Assignment Solutions There is also an Extend Your Learning Solution – See Extend Your Learning: Estimating Mean, Median and Mode
Module : Two Variable Statistics 13 - 15 days
Lesson: Categorical Data 4 - 5 days
Topic Standards, Learning Objectives and Assessments
Representing Categorical Data Standards: S-ID.B.5 Learning Objectives:
Create two-way frequency tables for bivariate categorical data.
Define and understand joint frequencies and marginal frequencies.
Using Relative Frequencies Standards: S-ID.B.5 Learning Objectives:
Realize the limitations of a two-way frequency table and utilize relative frequencies.
Exercise 1 Assessing: S-ID.B.5 See Categorical Data Worksheet 1 Solutions
Conditional Relative Frequencies Standards: S-ID.B.5 Learning Objectives:
Begin using conditional relative frequencies to identify associations and trends in bivariate categorical data.
Exercises 2 Assessing: S-ID.B.5 See Categorical Data Worksheet 2 Solutions
Lesson: Numerical Data 7 days
Topic Standards, Learning Objectives and Assessments
Representing Numerical Data Standards: S-ID.B.6 Learning Objectives:
Identify two variable numerical data and the terms associated with it.
Seeing Relationships Standards: S-ID.B.6, S-ID.B.6c Learning Objectives:
Represent bivariate numerical data using a scatter plot. Identify different types of correlations (positive, negative,
scattered, strong, weak, etc).
Exercises 1 Assessing: S-ID.B.6, S-ID.B.6c See Numerical Data Worksheet 1 Solutions
Lines of Best Fit Standards: S-ID.B.6, S-ID.B.6a, S-ID.B.6c, S-ID.B.7 Learning Objectives:
Algebraically determine the line of best fit for a given data set.
Make predictions based on the line of best fit.
Residual Values Standards: S-ID.B.6, S-ID.B.6a, S-ID.B.6b, S-ID.B.6c, S-ID.B.7 Learning Objectives:
Understand residual values and use them to compare two linear models to determine which is most accurate.
Understand the terminology of a 'least-squares line'. Use technology to determine a line of best fit.
Correlation Strength Standards: S-ID.B.8 Learning Objectives:
Understand the idea of correlation strength. Use Excel to calculate the correlation coefficient. Interpret r values in the context of a data set.
Curves of Best Fit Standards: S-ID.B.6, S-ID.B.6a, S-ID.B.6b Learning Objectives:
Identify, visually, functions that should be represented with a curve of best fit.
Use Excel to determine a curve of best fit and calculate an R2 value.
Use Residual Plots to analyze the fit of a function, and determine if a chosen model is appropriate.
Exercises 2 Assessing: S-ID.B.6, S-ID.B.6a, S-ID.B.6b, S-ID.B.6c, S-ID.B.7, S-ID.B.8 See Numerical Data Worksheet 2 Solutions
Effects of Outliers Standards:S-ID.B.6a, S-ID.B.8 Learning Objectives:
Identify outliers in a data set, and the effects they have on the correlation strength.
Correlation and Causation Standards: S-ID.C.9 Learning Objectives:
Distinguish between Correlation and Causation
Exercises 3 Assessing: S-ID.B.6a, S-ID.B.6c, S-ID.C.8, S-ID.C.9 See Numerical Data Worksheet 3 Solutions
Lesson: Module End 2 - 3 days
Topic Standards, Learning Objectives and Assessments
Exit Card
Module Discussion Standards: S-ID.C.9 Learning Objectives:
Using an argumentative piece and critical thinking, defend a position in a debate that utilizes the concepts of correlation and causation.
See Arguing A Claim There is also an Extend Your Learning Solution – See Extend Your Learning: Two-way Frequency Tables and Venn Diagrams