Quantities & Relationships

• • Explanation:

    • Notes | Annotated

    • Khan video: Dependent & independent variables

    • Khan video: Dependent & independent variables: graphing

    • Khan video: End behavior of algebraic models

    • Website Resource: Graphing Stories

    • Curve of forgetting: AVID: Youtube | SafeShare

  • Practice Problems:

    • Khan exercise: Independent versus dependent variables

    • Khan exercise: End behavior of algebraic models 

    • IXL: Alg. Q.3 Identify independent and dependent variables

    • Desmos: Function Carnival (teacher use only)

    • Desmos Activity:  Graphing Stories (teacher use only)

    • Worksheet #1

• • Explanations:

    • Notes | Annotated 

    • Khan video: What is a function? (optional)

    • Khan video: Recognizing functions from graph

    • Khan video: Does a vertical line represent a function?

    • Khan video: Recognizing functions from table

    • Khan video: Recognizing functions from verbal description

    • Khan video: Recognizing functions from verbal description word problem

    • Khan video: Discrete and continuous random variables

  • Practice problems:

    • Desmos Activity: Turtle Crossing (teacher use only)

    • Khan exercise: Recognize functions from graphs

    • Khan exercise: Recognize functions from tables

    • IXL: Algebra Q.4 Identify functions (from plotted points, list of points, table, mapping)

    • IXL: Algebra Q.5 Identify functions: vertical line test

    • Worksheet #1

• • Explanations:

    • Notes | Annotated |Video: Youtube | SafeShare.tv

    • Khan video: Plotting inequalities

    • Khan video: Plotting an inequality example

    • Khan video: Inequalities word problems

    • Khan video: Intervals and interval notation 

    • Khan video: Worked example: domain and range from graph (closed interval with inequality)

    • Khan video: Worked example: determining domain word problem (real numbers) (closed interval)

    • Khan video: Worked example: determining domain word problem (positive integers) (closed interval)

    • Khan video: Worked example: determining domain word problem (all integers)  (closed interval)

  • Practice problems:

    • IXL: Q.2 Domain and range of relations (2CG) (discrete data only)

    • Khan exercise: Inequality from graph (single inequality)

    • Khan exercise: Plotting inequalities (single inequality)

    • Khan exercise: Inequalities word problems (single inequality)

    • IXL: EE.3 Domain and range of absolute value functions: graphs (NV7) - (single inequality)

    • IXL: GG.2 Domain and range of radical functions: graphs (UXG) - (single inequality)

    • Desmos Activity: Domain and Range with both one direction and bound intervals - teacher use only

    • Khan exercise: Domain and range from graph (uses compound inequalities)

    • Khan exercise: Function domain word problems (uses compound inequalities)

    • Worksheet #1

  • Teacher resource:

    • Desmos activity: Cookie Functions

• • Explanation:

    • Notes | Annotated 

    • Khan video: Equations vs. functions

    • Khan video: Worked example: Evaluating functions from equation

    • Khan video: Worked example: matching an input to a function's output (equation)

    • Khan video: Worked example: evaluating functions from graph

    • Khan video: Evaluating discrete functions

    • Khan video: Worked example: evaluating expressions with function notation (honors)

    • Khan video: Worked example: matching an input to a function's output (graph)

    • Khan video: Worked example: two inputs with the same 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 functions

    • Khan exercise: Function inputs & outputs: equation (give after inverse operations has been mastered)

    • Khan exercise: Evaluate functions from their graph

    • Khan exercise: Function inputs & outputs: graph

    • Khan exercise: Evaluate function expressions (honors)

    • Khan exercise: Function notation word problems (honors)

    • IXL: Algebra Q.6 Find values using function graphs (score of 90)

    • IXL: Algebra Q.7 Evaluate a function

    • IXL: Algebra 1: Q.16 Interpret the graph of a function: word problems 

    • IXL: Algebra 1: Q.17 Interpret functions using everyday language 

    • Worksheet #1

• • Explanation:

    • Notes| Annotated

    • Khan video: Increasing, decreasing, positive or negative intervals (start the video at 2:34)

    • Khan video: Worked example: absolute and relative extrema

    • Khan video: Graph interpretation word problem: basketball

  • Practice problems:

    • Desmos Activity: Increasing/Decreasing Functions (teacher use only)

    • Khan exercise: Increasing and decreasing intervals

    • Khan exercise: Relative maxima and minima

    • Khan exercise: Absolute maxima and minima

    • Worksheet #1

• • Explanation:

    • Notes | Annotated

    • Khan video: Increasing, decreasing, positive or negative intervals  (from 0:00 to 2:34)

    • Khan video: Worked example: positive & negative intervals 

    • Khan video: Graph interpretation word problem: temperature

    • Khan video: Graph interpretation word problem: basketball

  • Practice problems:

    • Desmos Activity: Positive and Negative Intervals of a Function (teach use only)

    • Khan exercise: Positive and negative intervals 

    • Khan exercise: Graph interpretation word problems

    • Worksheet #1

• Quizlet flashcards

• Worksheet #1

• Desmos Activity: Properties of a graph (sign/direction/concavity) (teacher use only) - ignore concavity slides

• Worksheet #2

• Explanation

  • Examples and Notes

  • Card game: war

• Practice problems

  • Desmos Activity: Adding Integers (using a number line) (teacher use only)

  • Demos Activity: Card Sort: Integer Chips (teacher use only)

  • Desmos Activity: Card Sort: Integer Chips Practice Day 48

  • IXL: 7th Grade: C.1 Add integers using counters

  • IXL: 7th Grade: C.2 Add integers using number lines

  • IXL: 7th Grade: C.3 Integer addition rules

  • IXL: 7th Grade: C.4 Add integers

  • Worksheet #1

  • Worksheet #2

  • Adding Larger Integers WS#1

  • Adding Larger Integers WS#2

• Teacher use:

  • Desmos Activity: Adding Integers Splat!!!

• Explanation:

  • Desmos Activity: 

    • In one day: Hot Air Balloon Model for Integer Operations (teacher use only)

    • In two days: 

      • Hot Air Balloon Model for Integer Ops ACCEL [Day 1 of 2]

      • Hot Air Balloon Model for Integer Ops ACCEL [Day 2 of 2]

    • In three days:

      • Hot Air Balloon Model for Integer Ops [Day 1 of 3]

      • Hot Air Balloon Model for Integer Ops [Day 2 of 3]

      • Hot Air Balloon Model for Integer Ops [Day 3 of 3]

  • Desmos Activity: Subtracting Integers

• Practice problems:

  • IXL C.8 Integer subtraction rules

  • IXL C.9 Subtract integers

  • Worksheet #1

  • Worksheet #2

Adding and Integers Integers

• Practice problems

  • IXL C.10 Integer addition and subtraction rules

  • IXL C.12 Add and subtract integers

  • IXL C.13 Complete addition and subtraction equations with integers

  • IXL C.14 Add and subtract integers: word 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#1

  • Worksheet #1

  • Worksheet #2

  • ExamView Bank (purchase)

• Explanation

  • Examples of Negative time a negative is a positive

• Practice problems

  • IXL C.16 Integer multiplication rules

  • IXL C.17 Multiply integers

  • IXL C.21 Integer multiplication and division rules

  • IXL C.22 Multiply and divide integers

  • Worksheet #1

  • Worksheet #2

  • ExamView Bank (purchase)

• Explanation

• Practice problems

  • IXL C.24 Add, subtract, multiply, and divide integers

  • Worksheet #1

  • Worksheet #2

  • ExamView Bank (purchase)

• Explanation:

  • Khan video: Evaluating expressions with two variables

• Practice problems

  • IXL C.25 Evaluate numerical expressions involving integers

  • Khan exercise: Evaluating expressions with one variable

  • Khan exercise: Evaluating expressions with multiple variables

  • Worksheet #1

  • Worksheet #2

  • ExamView Bank (purchase)