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### Quantities & Relationships

 This unit introduces the concepts of functions (how quantities relate to each other), characteristics of functions, and a few function families. Quizlet vocabulary 1.1.1 Understanding Quantities and Their Relationships: 1) Identify independent and dependent quantities with their unit of measurement given a contextual situation; 2) match a graph with a contextual situation; 3) label the x- and y-axis of a graph with the independent and dependent quantities Explanation: Khan video: Dependent & independent variables Khan video: Dependent & independent variables: graphing Practice Problems: Khan exercise: Independent versus dependent variables Worksheet #1 Worksheet #2 website: Function Carnival (teacher use only) Desmos Activity:  Graphing Stories (teacher use only) Website Resource: Graphing Stories 1.1.2 Analyzing and Sorting Graphs (categorize graphs by their characteristics: discrete/continuous; symmetry) 1.1.3a Recognizing FunctionsExplanations:Khan video: Recognizing functions from graphKhan video: Does a vertical line represent a function?Khan video: Recognizing functions from tablePractice problems:Khan exercise: Recognize functions from graphsKhan exercise: Recognize functions from tables (optional)Desmos Activity: Functions & Relations: Polygraph (teacher use only)ExamView Bank (purchase)1.1.3b Stating the Domain and Range of a FunctionExplanations:Practice problems:Desmos Activity: Domain and Range IntroductionKhan exercise: Inequality from graph (review)Khan exercise: Domain and range from graphKhan exercise: Function domain word problemsWorksheet #1Worksheet #2ExamView Bank (purchase) 1.1.3c Function Notation Explanation: Notes | Annotated NotesKhan video: What is a function? (optional)Khan video: Equations vs. functions: Obtaining a function from an equation Khan video: Worked example: Evaluating functions from equationKhan video: Worked example: matching an input to a function's output (equation) Khan video: Worked example: evaluating functions from graphKhan video: Worked example: matching an input to a function's output (graph)Khan video: Function notation word problem: bank (honors)Khan video: Function notation word problem: beach (honors) Practice problems Desmos activity: Carnival Functions, Part 2 Khan exercise: Evaluate functionsKhan exercise: Function inputs & outputs: equation Khan exercise: Evaluate functions from their graphKhan exercise: Function inputs & outputs: graphKhan exercise: Function notation word problems (honors) Worksheet #1Worksheet #2ExamView Bank (purchase) 1.1.3d Characteristics of Functions: increasing/decreasing, positive/negative intervals, and relative/absolute extremaExplanation:Notes | Annotated NotesKhan video: Increasing, decreasing, positive or negative intervals (honors)Khan video: Worked example: positive & negative intervals Khan video: Introduction to minimum and maximum points (honors)Khan video: Worked example: absolute and relative extremaPractice problemsKhan exercise: Positive and negative intervals (honors)Khan exercise: Increasing and decreasing intervals (honors)Khan exercise: Relative maxima and minimaKhan exercise: Absolute maxima and minimaWorksheet #1Worksheet #2ExamView Bank (purchase)1.1.3e Recognizing Function Families Explanation Practice problems 1.1.4 Recognizing Functions by Characteristics Worksheet Desmos Activity: Function Families Card Sort (teacher use only) Adding Integers ExplanationExamples and NotesCard game: war Practice problems Desmos Activity: Adding Integers (teacher use only)Worksheet #1 Worksheet #2Adding Larger Integers WS#1Adding Larger Integers WS#2 Subtracting Integers Explanation:Desmos Activity: Desmos Activity: Subtracting Integers Practice problems Adding and Integers Integers Practice problems Worksheet #1 Worksheet #2 ExamView Bank (purchase) Combing Like Terms Explanation: Khan video: Intro to combining like terms Practice problems: Khan exercise: Combining like terms with negative coefficients Combining Like Terms with Addition WS#1Worksheet #1 Worksheet #2 ExamView Bank (purchase) Multiplying and Dividing Integers ExplanationExamples of Negative time a negative is a positive Practice problems Worksheet #1 Worksheet #2 ExamView Bank (purchase) Mixed Review of All Operations with Integers Explanation Practice problems Worksheet #1 Worksheet #2 ExamView Bank (purchase) Order of operations Explanation: Khan video: Evaluating expressions with two variables Practice problems Khan exercise: Evaluating expressions with one variable Khan exercise: Evaluating expressions with multiple variables Worksheet #1 Worksheet #2 ExamView Bank (purchase) Unit Review: