Curriculum / Math / 7th Grade / Unit 1: Proportional Relationships / Lesson 7
Proportional Relationships
Lesson 7 of 18
Criteria for Success
Tips for teachers, anchor problems, problem set, target task, additional practice.
Interpret proportional relationships represented in graphs.
Common Core Standards
Core standards.
The core standards covered in this lesson
Ratios and Proportional Relationships
7.RP.A.2 — Recognize and represent proportional relationships between quantities.
7.RP.A.2.D — Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Foundational Standards
The foundational standards covered in this lesson
6.RP.A.3.A — Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
- Identify the constant of proportionality in a graph by finding the value of $$y/x$$ from coordinate point $$(x,y)$$ .
- Identify the constant of proportionality or unit rate as the value $$r$$ , when $$x$$ is $$1$$ , represented by the coordinate point $$(1,r)$$ .
- Explain the meaning of $$(0, 0)$$ in context of the situation.
Suggestions for teachers to help them teach this lesson
Students reason abstractly as they represent proportional situations using tables and graphs, and interpret the information to identify the constant of proportionality and write an equation. Given a graph of a proportional relationship, students re-contextualize information represented in coordinate points to explain what $$ (0, 0)$$ and $$ (0, r)$$ mean in context of the problem (MP.2).
Lesson Materials
- Graph Paper (1 per student)
- Ruler (2-3 sheets per student)
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
In a video game, for every 3 coins you collect, you earn 4 points.
a. Create a table of values to represent the relationship.
b. Graph the relationship.
c. Determine the equation that represents the relationship.
Guiding Questions
Three toy cars race down a straight path. The distance each car traveled, in meters, over time, measured in seconds, is shown in the graph below.
a. At what speed is each car traveling? Where can you see each speed in the graph?
b. Explain the significance of the coordinate point $$(1, r)$$ . What do you think the “ $$r$$ ” represents?
The graph below shows the number of gallons of gasoline used by a car over a given number of miles.
a. Explain what each point A, B, and C means in the context of the situation.
b. Plot the point that represents the unit rate. Explain how you determined your answer, and what it means in context of the situation.
c. Does this car get more or less miles per gallon of gasoline than a car that gets 30 miles per gallon?
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
A souvenir shop sells magnets, 2 for $3. The graph below shows the proportional relationship.
Which statements below are true? For each false statement, correct it so that the statement reads true.
Student Response
An example response to the Target Task at the level of detail expected of the students.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
- Illustrative Mathematics Robot Races
- Illustrative Mathematics Buying Coffee
- RDA Performance Task Bank Grade 7 Mathematics Sample TE Item
- RDA Performance Task Bank Grade 7 Mathematics Sample SR Item
- EngageNY Mathematics Grade 7 Mathematics > Module 1 > Topic B > Lesson 10 — Problem Set
Topic A: Representing Proportional Relationships in Tables, Equations, and Graphs
Solve ratio and rate problems using double number lines, tables, and unit rate.
7.RP.A.1 7.RP.A.2
Represent proportional relationships in tables, and define the constant of proportionality.
7.RP.A.2 7.RP.A.2.B
Determine the constant of proportionality in tables, and use it to find missing values.
7.RP.A.2.A 7.RP.A.2.B
Write equations for proportional relationships presented in tables.
7.RP.A.2.B 7.RP.A.2.C
Write equations for proportional relationships from word problems.
7.RP.A.2 7.RP.A.2.C
Represent proportional relationships in graphs.
7.RP.A.2 7.RP.A.2.A 7.RP.A.2.D
7.RP.A.2 7.RP.A.2.D
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Non-Proportional Relationships
Compare proportional and non-proportional relationships.
Determine if relationships are proportional or non-proportional.
Topic C: Connecting Everything Together
Make connections between the four representations of proportional relationships (Part 1).
7.RP.A.2 7.RP.A.2.A 7.RP.A.2.B 7.RP.A.2.C 7.RP.A.2.D
Make connections between the four representations of proportional relationships (Part 2).
Use different strategies to represent and recognize proportional relationships.
Topic D: Solving Ratio & Rate Problems with Fractions
Find the unit rate of ratios involving fractions.
Find the unit rate and use it to solve problems.
7.RP.A.1 7.RP.A.3
Solve ratio and rate problems by setting up a proportion.
Solve ratio and rate problems by setting up a proportion, including part-part-whole problems.
Solve multi-step ratio and rate problems using proportional reasoning, including fractional price increase and decrease, commissions, and fees.
Use proportional reasoning to solve real-world, multi-step problems.
7.RP.A.1 7.RP.A.2 7.RP.A.3
Request a Demo
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Contact Information
School information, what courses are you interested in, are you interested in onboarding professional learning for your teachers and instructional leaders, any other information you would like to provide about your school.
We Handle Materials So You Can Focus on Students
We've got you covered with rigorous, relevant, and adaptable math lesson plans for free
- Inside Mathematics
- Math Pathways (DCMP)
- Keywords Search
- classroom videos
- public lessons
- 7th 8th grade math graphs equations and tables
- lesson part 1 graphs equation tables
7th & 8th Grade Math – Graphs, Equations, & Tables
Clip 2/5: lesson - part 1 graphs equation tables.
Jake Disston begins the period by challenging his students to work at their tables to group the cards they have in front of them, creating as many different groupings as they can, and devising language to describe each group.
Teacher Commentary
JESSE RAGENT: It is clear early on that there is lots of background knowledge that the students bring to the task. In the first few minutes I hear lots of relevant vocabulary "... just x, just y, slope, positive, negative, 0, undefined, intercept..." And yet, as the first student reports, it becomes clear that while there is some understanding of the information, there still remains plenty of misunderstanding and confusion. his clip reminds me of the need to honor all responses in class discussion. Jake is able to elegantly bring the incorrect notion of Dylan's "linear" grouping of the quadratics into proper focus and clarity in a way that did not denigrate the student at all. Additionally, I am reminded of how I should provide opportunities like this that enable me as a teacher to see how students will bring prior knowledge to a novel task. Only then will I know how deep (or shaky) their learning is.
Materials & Artifacts
Related lessons, 7th & 8th grade math - comparing linear functions.
In fall of 2008, Sally Keyes (math coach), Kamaljit Sangha (7/8 math teacher/department leader) and Cecilio Dimas (7/8...
7th Grade Math - Algebraic Equations, Inequalities, & Properties
This lesson was influenced by an activity presented by Ann Lawrence at the 2007 California Math Council Conference at...
8th grade math - Pythagorean Theorem
Patty Ferrant has taught mathematics at Pollicita Middle School in Daly City since 2000 — seven years in special...
- Rating Count
- Price (Ascending)
- Price (Descending)
- Most Recent
Equations, tables, and graphs
Resource type.
Graphing linear equations from points, tables , & y=mx+b equations
Tables Equations and Graphs Conversion Worksheet FREE
Matching Tables , Graphs , Verbal Descriptions and Equations
Real World Linear Equations , Tables , and Graphs Exam
Relating Independent and Dependent Variables to Graphs , Tables , and Equations
Finding slope and y-intercept from tables , graphs , equations notes
Equations , Tables , and Graphs
Standard Form Equations Writing Tables and Graphing
Creating Functions and Relations as Tables , Graphs , Equations and Maps
FREE Slope Intercept Equation Graphs and Tables Content Frame
Y-intercept of graphs , equations , and tables
Pokemon Go Social Distance For Learning Equations , Tables and Graphing
Rate Tables , COP, and Graphing Proportional Relationships
Linear Equations and Tables of Values Worksheet | Free 8th Grade Math
Equations , Tables , Graphs , Situations Practice Sheet 6th Grade
Graphing Data Tables and Proportionality
Graphing Linear Equations
Sample Page: Linear Graphs From Tables of Values
Step by Step Tutorial for using the TI-83 Graphing Calculator (Mrs Math)
Graphing Linear Functions Worksheet | Free 8th Grade Math
Linear Equations Alternative Vocabulary: No Definitions Required
Algebra 1 (3.03): Graphing Equations Using Data Tables
Algebra 1 (9.01) DRAFT: Graph Quadratic Equations using Data Tables
1st Grade Common Core Math Sheets 1.MD.4 Represent and Interpret Data
- We're hiring
- Help & FAQ
- Privacy policy
- Student privacy
- Terms of service
- Tell us what you think
| | > >
|
Chapter 1, Lesson 5: Words, Equations, Tables, and Graphs
- Extra Examples
- Personal Tutor
- Self-Check Quizzes
The resource you requested requires you to enter a username and password below:
| Password: | |
Please read our Terms of Use and Privacy Notice before you explore our Web site. To report a technical problem with this Web site, please contact the site producer .
IMAGES
COMMENTS
Lesson 7 Homework Practice Words, Equations, Tables, and Graphs 1. Each copy of a book costs $18 and shipping ... The graph shows the number of laps walked over 80 minutes. a. Make a table showing the input, minutes, and ... Explain. c. State the domain and range of the relation. Copy and complete each table. Then state the domain and range of ...
Lesson 7 Homework Practice . Words, Equations, Tables, and Graphs . Copy and complete each table. Then write an equation to represent the relationship. 1. Each copy of a book costs $18 and shipping is $9 per order. (Let b = number of books, Let c = total cost) ... The graph shows the number of laps walked over 80 minutes. a.
Lesson 7 Homework Practice Words, Equations, Tables, and Graphs 1. Each copy of a book costs $18 and shipping is $9 per order. ... The graph shows the number of laps walked over 80 minutes. a. Make a table showing the input, minutes, and the output, laps walked. x 20 40 60 80 y 8 203040 a.
Lesson 7 Skills Practice Words, Equations, Tables, and Graphs 1. A phone call costs $3 a minute. m c 1 5 10 20 3. The cost for a class trip is $5 per student plus $100 for the bus. s c 18 22 24 30 2. Jared has 4 less than 3 times the number of trophies that Zach has. z j 2 4 6 8 4. A child's admission is $4 more than half an adult's ...
Lesson 7 Skills Practice Words, Equations, Tables, and Graphs 1. A phone call costs $3 a minute. m c 1 5 10 20 3. The cost for a class trip is $5 per student plus $100 for the bus. s c 18 22 24 30 2. Jared has 4 less than 3 times the number of trophies that Zach has. z j 2 4 6 8 4. A child's admission is $4 more than half an adult's ...
Lesson 7 Problem-Solving Practice Words, Equations, Tables, and Graphs 1. Paul is keeping track of the high and low temperatures each day of the week. On Tuesday, the high temperature was 14° less than twice the low temperature. Make a function table to find the high temperature if the low temperature is 17°F, 20°F, 25°F, and 30°F.
7.RP.A.2 — Recognize and represent proportional relationships between quantities. 7.RP.A.2.D — Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Determine the x- and y-intercepts of each equation. Then use the intercepts to graph the equation. 7. − 4x + 2y = −8 8. 6x - 2y = −18 9. Mr. Jeans raises cows and chickens on his farm. Altogether, his cows and chickens have 140 legs. This can be represented by the equation 4x + 2y = 140. Graph the equation. Then interpret the x- and
essed, we can compare it with another function. We know that we ca. compare two functions using different method. Exit Ticket (5 minutes) Name. Date. ar. ng Linear Functions and Graphs Exit Ticket1. Brothers, Paul and Pete, walk Pete has slept in again and need. 2 miles to school from home at constant rate.
an equation that can be used to solve the word problem. Related Topics: More Lesson Plans for Grade 7 Common Core Math Lesson Notes Students are asked to substitute a number for the variable to check whether it is a solution to the equation. This lesson focuses on students building an equation that can be used to solve a word problem.
LESSON 7: Tables, Graphs, Equations...Oh My! • 1 Lesson Overview Students apply their knowledge of plotting and interpreting rational numbers on the coordinate plane, creating tables of values, and writing and solving equations to solve a variety of problems. They model real-world situations, analyze data, and select which
Worksheet 20 Recognizing Constant of Proportionality (Tables, Equations, Graphs) Worksheet 21 Packet Reviewing Proportionality Rate, Ratio & Proportion & Proportionality Practice Sequence Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12
Words, Equations, Tables, and Graphs, Chapter 1 Lesson 7 , Advanced Math 7
LESSON 7: Tables, Graphs, Equations...Oh My! • 1 LEARNING GOALS • Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. • Interpret the meaning of points plotted on the coordinate plane. • Use equations to solve real-world problems. • Use graphs relating an independent and dependent
Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
FiMC. Instructors: Jake Disston/Jesse Ragent. 1. Generalizing on Multiple Representations on Functions. 2. Goal of the Lesson. • Help students move from learning and doing procedures to looking for generalizations about types of graphs and their equations. • Making connections between graphs and equations, moving from specifics to general.
Mathematics Success - Grade 7 T127 LESSON 7: Representing Proportional Relationships with Equations Step 7: Have students write an equation for Question 7 and fill in the blanks using the information from Step 6. IP, CP, WG: Have students work with a partner to complete the problems with the pictorial representations on S60. Remind them
Only then will I know how deep (or shaky) their learning is. Clip Transcript. Jake Disston begins the period by challenging his students to work at their tables to group the cards they have in front of them, creating as many different groupings as they can, and devising language to describe each group.
Standardized Test Practice Vocabulary Review Lesson Resources ... Common Core State Standards Supplement, SE Hotmath Homework Help Multilingual eGlossary Math Review Math Tools Study to Go Online Calculators. Mathematics. Home > Chapter 1 > Lesson 5. Oklahoma Pre-Algebra. Chapter 1, Lesson 5: Words, Equations, Tables, and Graphs. Extra Examples ...
This product contains 9 pages (18 problems) for students to write equations from tables and graphs at a 6th grade level. Most of the problems are of the form y=kx or y=x+b with a few challenging questions at the end with 2 steps in the form y=mx+b. The problems start easier and get progressively more difficult, including fractional slopes and y intercepts with decimals.
Description. Math Teachers ~ you're in for a TREAT ...one of my BEST sellers! GREAT practice over Equations-Tables-and-Graphs! For each problem, students write the equation, fill in the table and graph the results. Worksheet is 2 pages plus Answer KEY is 2 pages. You'll love this and use it year after year!
Browse equations, tables, and graphs resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources.
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Personal Tutor Self-Check Quizzes. Common Core State Standards Supplement, SE Hotmath Homework Help Multilingual eGlossary Math Review Math Tools Study to Go Online Calculators. Mathematics. Home > Chapter 1 > Lesson 5. Pre-Algebra. Chapter 1, Lesson 5: Words ...