8.F

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

53 Lesson(s)

Introducing Function Graphs: Day 1 of 3

8th Grade Math » Unit: Functions

Christa Lemily

Bowling Green, KY

Environment: Suburban

Big Idea:

Interpret graphs to win big and create the best motion detector function graph in the class. Vote to win!

Standards:

8.F.A.1 8.F.B.5 MP1 MP3 MP4 MP7

Favorites (20)

Resources (16)

introducing function graphs lesson image

Pay it Forward

8th Grade Math » Unit: Law and Order: Special Exponents Unit

Shaun Errichiello

New York, NY

Environment: Urban

Big Idea:

Exponential growth can have an amazing impact in a small amount of time.

Standards:

8.EE.A.1 8.EE.A.2 8.F.A.1 8.F.A.2 8.F.A.3 8.F.B.5 MP3 MP4

Favorites (58)

Resources (7)

Turtle & Snail Part I : An Introduction to "Rule of Five'

8th Grade Math » Unit: The Fabulous World of Functions

Heather Sparks

Oklahoma City, OK

Environment: Urban

Big Idea:

This lesson helps students see relationships between the algebraic representations of a function. The context of the story helps to ground student understanding.

Standards:

8.F.A.1 8.F.A.2 8.F.A.3 8.F.B.5 MP2 MP4

Favorites (28)

Resources (21)

Reflections (2)

Sketch Graphs I

8th Grade Math » Unit: INTRODUCTION TO FUNCTIONS

Jeff Li MTP

New York, NY

Environment: Urban

Big Idea:

Use an engaging video to get kids to connect a verbal description with a concrete application and an abstract representation. It's a pretty cool video - check it out.

Standards:

8.F.B.5 HSF-IF.B.4 MP1 MP2 MP5

Favorites (21)

Resources (13)

Linear vs Quadratic (Day 1 of 2)

8th Grade Math » Unit: Advanced Equations and Functions

Mauricio Beltre

Orlando, FL

Environment: Urban

Big Idea:

Linear and Quadratic functions can be used to model real world problems.

Standards:

8.F.A.2 8.F.B.5 MP1 MP4

Favorites (12)

Resources (10)

Right Hand/Left Hand

8th Grade Math » Unit: The Fabulous World of Functions

Heather Sparks

Oklahoma City, OK

Environment: Urban

Big Idea:

In this engaging activity, students perform a simple repetitive task with first their dominant hand, then non-dominant hand. They then create a scatter plot of the data and determine the correlation.

Standards:

8.F.B.5 MP2 MP3 MP4

Favorites (21)

Resources (14)

Reflections (1)

Linear vs Quadratic (Day 2 of 2)

8th Grade Math » Unit: Advanced Equations and Functions

Mauricio Beltre

Orlando, FL

Environment: Urban

Big Idea:

Students compare functions by computing first and second differences of output values and analyzing graphs.

Standards:

8.F.A.2 8.F.B.5 MP1 MP4 MP5 MP8

Favorites (4)

Resources (15)

Reflections (1)

Using Points to Determine the Shape of a Graph

Algebra I » Unit: Linear and Exponential Functions

James Dunseith

Worcester, MA

Environment: Urban

Big Idea:

In order to get a broad picture of functions and their graphs, we go a bit beyond just the linear and exponential functions that are the foci of this unit.

Standards:

8.F.B.5 HSA-SSE.A.1 HSF-IF.A.2 HSF-IF.B.4 HSF-IF.B.5 HSF-IF.C.7 MP1 MP2 MP4 MP7

Resources (8)

Domain and Range

Algebra I » Unit: Linear & Absolute Value Functions

Noelani Davis

Washington, DC

Environment: Urban

Big Idea:

Students will use real world examples to solidify their understanding of continuous and discrete inputs and outputs.

Standards:

8.F.A.1 8.F.A.2 8.F.B.5 HSA-CED.A.1 MP1 MP3 MP7 MP8

Favorites (23)

Resources (19)

Reflections (2)

The Biggest Possible Area

8th Grade Math » Unit: Advanced Equations and Functions

Mauricio Beltre

Orlando, FL

Environment: Urban

Big Idea:

Students investigate how area changes as a function of length by designing a backyard garden.

Standards:

8.F.B.5 MP1 MP4 MP5

Resources (13)

Reflections (1)

Day Four & Five

8th Grade Math » Unit: Welcome Back!

Heather Sparks

Oklahoma City, OK

Environment: Urban

Big Idea:

To help guide instruction for the year and establish a baseline for quarterly benchmark assessments, students will take a benchmark test aligned to the CCSS.

Standards:

8.NS.A.1 8.NS.A.2 8.EE.A.1 8.EE.A.2 8.EE.A.3 8.EE.A.4 8.EE.B.5 8.EE.B.6 8.EE.C.7 8.EE.C.8 8.F.A.1 8.F.A.2 8.F.A.3 8.F.B.4 8.F.B.5 8.G.A.1 8.G.A.2 8.G.A.3 8.G.A.4 8.G.A.5 8.G.B.6 8.G.B.7 8.G.B.8 8.G.C.9 8.SP.A.1 8.SP.A.2 8.SP.A.3 8.SP.A.4 MP1

Favorites (14)

Resources (8)

Reflections (1)

Describe Functions

8th Grade Math » Unit: INTRODUCTION TO FUNCTIONS

Jeff Li MTP

New York, NY

Environment: Urban

Big Idea:

What does the shape of a function - without numbers - tell you about what is going on?

Standards:

8.F.B.5 HSF-IF.A.1 HSF-IF.B.4 MP1 MP2 MP4

Favorites (18)

Resources (15)

Reflections (1)

Writing Function Rules

8th Grade Math » Unit: The Fabulous World of Functions

Heather Sparks

Oklahoma City, OK

Environment: Urban

Big Idea:

Building on "What's My Rule", today's lesson gives context to the numbers and applies them to real life situations.

Standards:

8.F.A.1 8.F.B.5 MP4 MP7

Favorites (6)

Resources (15)

Reflections (1)

Sketch Graphs II

8th Grade Math » Unit: INTRODUCTION TO FUNCTIONS

Jeff Li MTP

New York, NY

Environment: Urban

Big Idea:

Sketching Tricky Graphs - how does the shape of the container affect a graph?

Standards:

8.F.B.5 MP1 MP2 MP4 MP5 MP6

Favorites (4)

Resources (11)

Introducing Function Graphs Continued: Day 2 of 4

8th Grade Math » Unit: Functions

Christa Lemily

Bowling Green, KY

Environment: Suburban

Big Idea:

Interpret graphs to win big and create the best motion detector function graph in the class. Vote to win!

Standards:

8.F.A.1 8.F.B.5 MP1

Favorites (3)

Resources (15)

Reflections (2)

See all 53 aligned lessons

Common Core Math

Kindergarten

Counting & Cardinality

Operations & Algebraic Thinking

Number & Operations in Base Ten

Measurement and Data

Geometry

First Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Measurement and Data

Geometry

Second Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Measurement and Data

Geometry

Third Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Numbers & Operations-Fractions

Measurement and Data

Geometry

Fourth Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Number & Operations—Fractions

Measurement and Data

Geometry

Fifth Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Number & Operations—Fractions

Measurement & Data

Geometry

Sixth Grade

Ratios & Proportional Relationships

The Number System

Expressions & Equations

Geometry

Statistics & Probability

Seventh Grade

Ratios & Proportional Relationships

The Number System

Expressions & Equations

Geometry

Statistics & Probability

Eighth Grade

The Number System

Expressions & Equations

Functions

Geometry

Statistics & Probability

HS Number & Quantity

The Real Number System

Quantities

The Complex Number System

Vector & Matrix Quantities

HS Algebra

Seeing Structure in Expressions

Arithmetic with Polynomials & Rational Expressions

Creating Equations*

Reasoning with Equations & Inequalities

HS Functions

Interpreting Functions

Building Functions

Linear, Quadratic, & Exponential Models*

Trigonometric Functions

HS Geometry

Congruence

Similarity, Right Triangles, & Trigonometry

Circles

Expressing Geometric Properties with Equations

Geometric Measurement & Dimension

Modeling with Geometry

HS Statistics & Probability

Interpreting Categorical & Quantitative Data

Making Inferences & Justifying Conclusions

Conditional Probability & the Rules of Probability

Using Probability to Make Decisions

Kindergarten

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

First Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Second Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Third Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Fourth Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Fifth Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Sixth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Seventh Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Eighth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Ninth and Tenth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Eleventh and Twelfth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Kindergarten

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

First grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Second grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Third Grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Fourth grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Fifth grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Middle School

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

High School

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

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Functions

8.F

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

Introducing Function Graphs: Day 1 of 3

Interpret graphs to win big and create the best motion detector function graph in the class. Vote to win!

Pay it Forward

Exponential growth can have an amazing impact in a small amount of time.

Turtle & Snail Part I : An Introduction to "Rule of Five'

This lesson helps students see relationships between the algebraic representations of a function. The context of the story helps to ground student understanding.

Sketch Graphs I

Use an engaging video to get kids to connect a verbal description with a concrete application and an abstract representation. It's a pretty cool video - check it out.

Linear vs Quadratic (Day 1 of 2)

Linear and Quadratic functions can be used to model real world problems.

Right Hand/Left Hand

In this engaging activity, students perform a simple repetitive task with first their dominant hand, then non-dominant hand. They then create a scatter plot of the data and determine the correlation.

Linear vs Quadratic (Day 2 of 2)

Students compare functions by computing first and second differences of output values and analyzing graphs.

Using Points to Determine the Shape of a Graph

In order to get a broad picture of functions and their graphs, we go a bit beyond just the linear and exponential functions that are the foci of this unit.

Domain and Range

Students will use real world examples to solidify their understanding of continuous and discrete inputs and outputs.

The Biggest Possible Area

Students investigate how area changes as a function of length by designing a backyard garden.

Day Four & Five

To help guide instruction for the year and establish a baseline for quarterly benchmark assessments, students will take a benchmark test aligned to the CCSS.

Describe Functions

What does the shape of a function - without numbers - tell you about what is going on?

Writing Function Rules

Building on "What's My Rule", today's lesson gives context to the numbers and applies them to real life situations.

Sketch Graphs II

Sketching Tricky Graphs - how does the shape of the container affect a graph?

Introducing Function Graphs Continued: Day 2 of 4

Interpret graphs to win big and create the best motion detector function graph in the class. Vote to win!

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

HS Statistics & Probability

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Eleventh and Twelfth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School

High School

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