GRADE 8 MATH REPRESENTING AND INTERPRETING PROPORTIONAL. Printable Worksheets And Lessons . Soccer Balls Step-by-step Lesson- Is the price of soccer balls proportional to the number of balls? Guided Lesson - We practice with data tables., Lesson 4: Identifying Proportional & Non-Proportional Relationships & Comparing Relation. in Tables math 7 module 1 lesson 4 comparing relationships in tables 2015-20161.docx 317.883 KB (Last Modified on July 8, 2016).

### End of Grade Review Tables Graphs and Equations of

Determine if the relationship is proportional worksheet. Relationships," which is part of a 22-lesson unit on Ratios and Proportional Relationships. This sample lesson This sample lesson lays a strong foundation for the work that is to come in the unit, but it is not intended for students to meet, Proportional relationships worksheets keyword after analyzing the system lists the list of keywords related and the list of websites with related content, in addition you can see which keywords most interested customers on the this website.

Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. mathematically through proportional relationships. They will explore the use of ratios, They will explore the use of ratios, rates and proportions as a problem solving tools.

T356 Mathematics Success – Grade 8 LESSON 14: Comparing Proportional Relationships [OBJECTIVE] The student will compare proportional relationships in different forms to solve real Proportional Relationships Questions - All Grades You can create printable tests and worksheets from these Proportional Relationships questions! Select one or more questions using the checkboxes above each question.

Ratios and Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems. 1. Compute unit rates associated with ratios of fractions, including ratios of Comparing Speeds in Graphs and Equations The graphs below show the distance two cars have traveled along the freeway over a period of several seconds. Car A is traveling 30 meters per second.

Relationships," which is part of a 22-lesson unit on Ratios and Proportional Relationships. This sample lesson This sample lesson lays a strong foundation for the work that is to come in the unit, but it is not intended for students to meet Relating and comparing multiple representations of proportional relationships Relevance/Connections 8.EEB.6: Use similar triangles to explain why the slope m …

In today’s lesson, the intended target is, “I determine if a graph represents a proportional relationship, and I can determine the constant of proportionality from a graph and the equation for proportional relationships.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day). Graphs of Proportional Relationships Student Probe Susan runs three laps at the track in 12 minutes. A graph of this proportional relationship is shown below. Explain the meaning of points A (0,0), B (1,4), and C (2,8) in terms of this relationship. ratio table, unit rate Answer: A—Susan runs 0 laps in 0 minutes. This is the y-intercept. B—Susan runs 1 lap in 4 minutes. This is the same as

Graphs of Proportional Relationships Student Probe Susan runs three laps at the track in 12 minutes. A graph of this proportional relationship is shown below. Explain the meaning of points A (0,0), B (1,4), and C (2,8) in terms of this relationship. ratio table, unit rate Answer: A—Susan runs 0 laps in 0 minutes. This is the y-intercept. B—Susan runs 1 lap in 4 minutes. This is the same as About "Determine if the relationship is proportional worksheet" Determine if the relationship is proportional worksheet is much required to the students who study math in school.

Comparing Speeds in Graphs and Equations The graphs below show the distance two cars have traveled along the freeway over a period of several seconds. Car A is traveling 30 meters per second. Eighth Grade (Grade 8) Proportional Relationships questions for your custom printable tests and worksheets. In a hurry? Browse our pre-made printable worksheets library with a variety of activities and quizzes for all K-12 levels.

Name _____ Date _____ Tons of Free Math Worksheets at: © www.mathworksheetsland.com 3. The graph below represents the rate at which Melanie listens to songs. Proportional Relationships Questions - All Grades You can create printable tests and worksheets from these Proportional Relationships questions! Select one or more questions using the checkboxes above each question.

### Week 4 Comparing Proportional Relationships

Proportional relationships worksheets" Keyword Found. Eighth Grade Instructional Tasks 174 Connecting Proportional Relationships, Lines, and Linear Equations (IT) Overview. This instructional task requires students to understand the connections between proportional relationships, lines, and, Eighth Grade (Grade 8) Proportional Relationships questions for your custom printable tests and worksheets. In a hurry? Browse our pre-made printable worksheets library with a variety of activities and quizzes for all K-12 levels..

### Focus Topic 1 вЂ“вЂ“ Graphing Proportional Relationships

8.EE.5 Graph and Compare Proportional Relationships. Proportional relationships worksheets keyword after analyzing the system lists the list of keywords related and the list of websites with related content, in addition you can see which keywords most interested customers on the this website Objectives: - Compare graphs, tables and equations - Identify unit rate/slope to compare proportional relationships in different ways - Recognize the coefficient of x and the slope of the line is the unit rateof a graph of a proportional relationship Includes 6 practice pages and answer keys..

and proportion is when this comparison is used to describe a related situation in the same understand this relationship proportional reasoning is used. Proportional thinking and reasoning is knowing the multiplicative relationship between the base ratio and the proportional situation to which it is applied. 2 Proportional reasoning is being able to make comparisons between entities in I can compare two different proportional relationships represented in different ways. I can interpret the unit rate of a proportional relationship as the slope of a graph. 8.EE.B.6 – Use similar triangles to explain why the slope m is the same between any two distinct points on a

• Review the definition of ratio: a comparison of two quantities. • Point out how ratios are expressed, especially the importance of order and clarity related to which element is mentioned first (e.g., peanuts to nonpeanuts). • Explain to participants that now they will measure and record ratios that relate to the human body. RATIO AND PROPORTIONAL REASONING—AcTIvITy SET 3 Int_RPR_03 Classwork assignments will be posted after class each day. Please print out any worksheets you missed due to absence. All worksheets need to be handed in the day you return to school. Please print out any worksheets you missed due to absence.

2.1b Homework: Comparing Proportional Relationships Use the graph completed during the class activity to answer questions 1-10 below. 1. Order the five activities from highest cost to lowest cost per hour. 2. How do you compare the cost per hour by looking at the graph? 3. How do you compare the cost per hour by looking at the equations? 4. Create a sixth activity in column f on page 23. Think Eighth Grade Instructional Tasks 174 Connecting Proportional Relationships, Lines, and Linear Equations (IT) Overview. This instructional task requires students to understand the connections between proportional relationships, lines, and

Some of the worksheets displayed are , Proportional and non proportional comparison 1 of 3, Lesson 8 identifying proportional and non proportional, Equations of proportional relationships, Achieve unit barone jacobs final june 2016, Proportions date period, Lesson plan, Grade levelcourse lessonunit plan name identifying. I can compare two different proportional relationships represented in different ways. I can interpret the unit rate of a proportional relationship as the slope of a graph. 8.EE.B.6 – Use similar triangles to explain why the slope m is the same between any two distinct points on a

5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Lesson Topic. Relating and Comparing multiple representations of proportional relationships. Relevance/Connections. 8.EE.6: Use similar triangles to explain why the slope . m . is the same between any two distinct points on a

Classwork assignments will be posted after class each day. Please print out any worksheets you missed due to absence. All worksheets need to be handed in the day you return to school. Please print out any worksheets you missed due to absence. Proportional Relationships Data Tables-Matching.pdf Proportional Relationships Data Tables-Equavalent-Ratios-Answers.pdf Proportional Relationships Data Tables-HW1.pdf

Why are proportional relationships an important part of mathematics? How is percent related to fractions and decimals, and why is it such a useful tool in everyday life? Unit Overview In this unit you will study proportional relationships. You will learn that two equal ratios form a proportion and how to solve a proportion. You will explore and use two special ratios: rates, which compare • Review the definition of ratio: a comparison of two quantities. • Point out how ratios are expressed, especially the importance of order and clarity related to which element is mentioned first (e.g., peanuts to nonpeanuts). • Explain to participants that now they will measure and record ratios that relate to the human body. RATIO AND PROPORTIONAL REASONING—AcTIvITy SET 3 Int_RPR_03

T356 Mathematics Success – Grade 8 LESSON 14: Comparing Proportional Relationships [OBJECTIVE] The student will compare proportional relationships in different forms to solve real Comparing Speeds in Graphs and Equations The graphs below show the distance two cars have traveled along the freeway over a period of several seconds. Car A is traveling 30 meters per second.

Comparing Speeds in Graphs and Equations The graphs below show the distance two cars have traveled along the freeway over a period of several seconds. Car A is traveling 30 meters per second. Proportional Relationships Worksheets - Printable Worksheets Printableworksheets.in Some of the worksheets displayed are , Proportional and non proportional comparison 1 of 3, Lesson 8 identifying proportional and non proportional, Equations of proportional relationships, Achieve unit barone jacobs final june 2016, Proportions date period, Lesson plan, Grade levelcourse lessonunit …

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## Lesson 12 Constant of Proportionality and the Equation Y

Proportional Relationships Mrs Warga. Name _____ Date _____ Tons of Free Math Worksheets at: © www.mathworksheetsland.com 3. The graph below represents the rate at which Melanie listens to songs., Eighth Grade Instructional Tasks 174 Connecting Proportional Relationships, Lines, and Linear Equations (IT) Overview. This instructional task requires students to understand the connections between proportional relationships, lines, and.

### Identifying Proportional and Non-Proportional

Proportional Relationships Questions for Tests and Worksheets. Eighth Grade Instructional Tasks 174 Connecting Proportional Relationships, Lines, and Linear Equations (IT) Overview. This instructional task requires students to understand the connections between proportional relationships, lines, and, proportional and non-proportional situations (e.g., two ordered quantities that share a multiplicative relationship). • Determine the characteristics of the graph of a proportional relationship..

8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two Compare two different proportional relationships represented in different ways. Relationships," which is part of a 22-lesson unit on Ratios and Proportional Relationships. This sample lesson This sample lesson lays a strong foundation for the work that is to come in the unit, but it is not intended for students to meet

Proportional Relationships, reincp16, Math 7, Math 7.RP.2, proportional equation, proportional graph, proportional table, unit rate, compare unit rate, rate Common Core Math Equation Middle School Relationships Teaching High Schools Relationship Common Cores Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

Graphs of Proportional Relationships Student Probe Susan runs three laps at the track in 12 minutes. A graph of this proportional relationship is shown below. Explain the meaning of points A (0,0), B (1,4), and C (2,8) in terms of this relationship. ratio table, unit rate Answer: A—Susan runs 0 laps in 0 minutes. This is the y-intercept. B—Susan runs 1 lap in 4 minutes. This is the same as As students study proportional relationships, they begin to see examples in their lives: traveling on the freeway at a constant rate, swimming laps, scaling a recipe, shopping, etc.

Graphs of Proportional Relationships Student Probe Susan runs three laps at the track in 12 minutes. A graph of this proportional relationship is shown below. Explain the meaning of points A (0,0), B (1,4), and C (2,8) in terms of this relationship. ratio table, unit rate Answer: A—Susan runs 0 laps in 0 minutes. This is the y-intercept. B—Susan runs 1 lap in 4 minutes. This is the same as Ratios and Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems. 1. Compute unit rates associated with ratios of fractions, including ratios of

Proportional Relationships 229 Vocabulary Choose the best term from the list to complete each sentence. 1. A(n) __?__is a number in the form a b, where b 0. Ratios and Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems. 1. Compute unit rates associated with ratios of fractions, including ratios of

Compare constants of proportionality Get 3 of 4 questions to level up! Practice. Interpret constants of proportionality Get 3 of 4 questions to level up! Practice. Interpret constant of proportionality in graphs Get 3 of 4 questions to level up! Practice. Identifying proportional relationships. Learn. Intro to proportional relationships (Opens a modal) Proportional relationships: movie tickets T356 Mathematics Success – Grade 8 LESSON 14: Comparing Proportional Relationships [OBJECTIVE] The student will compare proportional relationships in different forms to solve real

Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. Relationships," which is part of a 22-lesson unit on Ratios and Proportional Relationships. This sample lesson This sample lesson lays a strong foundation for the work that is to come in the unit, but it is not intended for students to meet

proportional relationships and determining when and why two quantities are actually in a proportional relationship. Timeframe: 2 class periods with a possible 1 class extension Proportional Relationships worksheet Name Period For each situation decide whether it is proportional or not. Then explain why. 1) Tommy was jumping down his sidewalk.

mathematically through proportional relationships. They will explore the use of ratios, They will explore the use of ratios, rates and proportions as a problem solving tools. Lesson 12: Constant of Proportionality and the Equation Y=kx. Notes A Directly Proportional Relationship has a linear equation of the form y kx The ratio X Y is called the _____ _____ and represented by the variable K. To formulate the equation for a proportional relationship: 1) Determine the constant of proportionality or unit rate for the problem by evaluating the ratio, X Y and assign that

• develop an understanding that proportions are multiplicative relationships; • compare and determine equivalence of ratios; • solve proportions in a variety of contexts; • solve problems involving rates. Day Lesson Title Math Learning Goals Expectations 1 Size It Up • Investigate proportional situations using everyday examples. • Identify proportional and non-proportional Ratios and Proportional Relationships Students use their knowledge of ratios to represent and solve proportions. They use models to find equivalent ratios and use ratios to solve a proportion.

8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two Compare two different proportional relationships represented in different ways. Graphs of Proportional Relationships Student Probe Susan runs three laps at the track in 12 minutes. A graph of this proportional relationship is shown below. Explain the meaning of points A (0,0), B (1,4), and C (2,8) in terms of this relationship. ratio table, unit rate Answer: A—Susan runs 0 laps in 0 minutes. This is the y-intercept. B—Susan runs 1 lap in 4 minutes. This is the same as

I can compare two different proportional relationships represented in different ways. I can interpret the unit rate of a proportional relationship as the slope of a graph. 8.EE.B.6 – Use similar triangles to explain why the slope m is the same between any two distinct points on a Printable Worksheets And Lessons . Soccer Balls Step-by-step Lesson- Is the price of soccer balls proportional to the number of balls? Guided Lesson - We practice with data tables.

representing, and comparing proportional relationships. In eighth grade, a shift takes place as students move In eighth grade, a shift takes place as students move from proportional linear relationships, a special case of linear relationships, to the study of linear relationships Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Lesson Topic. Relating and Comparing multiple representations of proportional relationships. Relevance/Connections. 8.EE.6: Use similar triangles to explain why the slope . m . is the same between any two distinct points on a

Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Lesson Topic. Relating and Comparing multiple representations of proportional relationships. Relevance/Connections. 8.EE.6: Use similar triangles to explain why the slope . m . is the same between any two distinct points on a

As students study proportional relationships, they begin to see examples in their lives: traveling on the freeway at a constant rate, swimming laps, scaling a recipe, shopping, etc. Yes, the relationship is proportional if a constant exists such that each measure of the when multiplied by the constant gives the corresponding -value 4.

non- Proportional relationships Worksheet 2-2 “To be or not to be proportional Determine which of the following tables represent proportional relationships. x1) 8) 9) 10) 4) 0 Number of Hours 2 4 6 8 10 12 14 300 270 240 210 180 150 120 30 ) 0 Name _____ Date _____ Topic 4: Comparing Proportional Relationships Connecting a table of values to a graph

Lesson 4: Identifying Proportional & Non-Proportional Relationships & Comparing Relation. in Tables math 7 module 1 lesson 4 comparing relationships in tables 2015-2016.docx 317.883 KB (Last Modified on July 8, 2016) In today’s lesson, the intended target is, “I determine if a graph represents a proportional relationship, and I can determine the constant of proportionality from a graph and the equation for proportional relationships.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day).

### 2.1b Homework Comparing Proportional Relationships

8th Grade Common Core 8.EE.5 Super Teacher Worksheets. Transition the student to modeling proportional relationships with equations of the form y = cx where c is the constant of proportionality. Guide the student to see the relationship between a unit rate and the constant of proportionality., • Graph proportional relationships and explain key features of the graph • Communicate how the line continues from one point to the next (e.g. “every time the line goes 1 unit to the right, it goes up 3 units”)..

### Focus Topic 1 вЂ“вЂ“ Graphing Proportional Relationships

End of Grade Review Tables Graphs and Equations of. • develop an understanding that proportions are multiplicative relationships; • compare and determine equivalence of ratios; • solve proportions in a variety of contexts; • solve problems involving rates. Day Lesson Title Math Learning Goals Expectations 1 Size It Up • Investigate proportional situations using everyday examples. • Identify proportional and non-proportional Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed..

T356 Mathematics Success – Grade 8 LESSON 14: Comparing Proportional Relationships [OBJECTIVE] The student will compare proportional relationships in different forms to solve real Proportional Relationships 229 Vocabulary Choose the best term from the list to complete each sentence. 1. A(n) __?__is a number in the form a b, where b 0.

Compare constants of proportionality Get 3 of 4 questions to level up! Practice. Interpret constants of proportionality Get 3 of 4 questions to level up! Practice. Interpret constant of proportionality in graphs Get 3 of 4 questions to level up! Practice. Identifying proportional relationships. Learn. Intro to proportional relationships (Opens a modal) Proportional relationships: movie tickets different proportional relationships represented in different ways. For example, compare a distance- For example, compare a distance- time graph to a distance-time equation to determine which of two moving objects has greater speed.

proportional relationships and determining when and why two quantities are actually in a proportional relationship. Timeframe: 2 class periods with a possible 1 class extension Proportional Relationships Questions - All Grades You can create printable tests and worksheets from these Proportional Relationships questions! Select one or more questions using the checkboxes above each question.

• Graph proportional relationships and explain key features of the graph • Communicate how the line continues from one point to the next (e.g. “every time the line goes 1 unit to the right, it goes up 3 units”). 8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two Compare two different proportional relationships represented in different ways.

/ Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. Comparing Speeds in Graphs and Equations The graphs below show the distance two cars have traveled along the freeway over a period of several seconds. Car A is traveling 30 meters per second.

/ Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. proportional relationships and determining when and why two quantities are actually in a proportional relationship. Timeframe: 2 class periods with a possible 1 class extension

Students will be able to distinguish between proportional and non proportional relationships and determine a constant ratio between y and x, called the constant of proportionality. Big Idea The origin makes all the difference in this relationship. Proportional relationships worksheets keyword after analyzing the system lists the list of keywords related and the list of websites with related content, in addition you can see which keywords most interested customers on the this website

Lesson 12: Constant of Proportionality and the Equation Y=kx. Notes A Directly Proportional Relationship has a linear equation of the form y kx The ratio X Y is called the _____ _____ and represented by the variable K. To formulate the equation for a proportional relationship: 1) Determine the constant of proportionality or unit rate for the problem by evaluating the ratio, X Y and assign that Identifying Proportional and Non-Proportional Relationships in Graphs (E) In Lesson 1 of Topic A, students are reintroduced to the meanings of value of a ratio, equivalent ratios, rate, and unit rate through a collaborative work task where they record their rates choosing an appropriate unit of

T356 Mathematics Success – Grade 8 LESSON 14: Comparing Proportional Relationships [OBJECTIVE] The student will compare proportional relationships in different forms to solve real Some of the worksheets displayed are , Proportional and non proportional comparison 1 of 3, Lesson 8 identifying proportional and non proportional, Equations of proportional relationships, Achieve unit barone jacobs final june 2016, Proportions date period, Lesson plan, Grade levelcourse lessonunit plan name identifying.

T356 Mathematics Success – Grade 8 LESSON 14: Comparing Proportional Relationships [OBJECTIVE] The student will compare proportional relationships in different forms to solve real Lesson 4: Identifying Proportional & Non-Proportional Relationships & Comparing Relation. in Tables math 7 module 1 lesson 4 comparing relationships in tables 2015-20161.docx 317.883 KB (Last Modified on July 8, 2016)

different proportional relationships represented in different ways. For example, compare a distance- For example, compare a distance- time graph to a distance-time equation to determine which of two moving objects has greater speed. Lesson 4: Identifying Proportional & Non-Proportional Relationships & Comparing Relation. in Tables math 7 module 1 lesson 4 comparing relationships in tables 2015-2016.docx 317.883 KB (Last Modified on July 8, 2016)

• Graph proportional relationships and explain key features of the graph • Communicate how the line continues from one point to the next (e.g. “every time the line goes 1 unit to the right, it goes up 3 units”). and proportion is when this comparison is used to describe a related situation in the same understand this relationship proportional reasoning is used. Proportional thinking and reasoning is knowing the multiplicative relationship between the base ratio and the proportional situation to which it is applied. 2 Proportional reasoning is being able to make comparisons between entities in

Identifying Proportional and Non-Proportional Relationships in Graphs (E) In Lesson 1 of Topic A, students are reintroduced to the meanings of value of a ratio, equivalent ratios, rate, and unit rate through a collaborative work task where they record their rates choosing an appropriate unit of Graphs of Proportional Relationships Student Probe Susan runs three laps at the track in 12 minutes. A graph of this proportional relationship is shown below. Explain the meaning of points A (0,0), B (1,4), and C (2,8) in terms of this relationship. ratio table, unit rate Answer: A—Susan runs 0 laps in 0 minutes. This is the y-intercept. B—Susan runs 1 lap in 4 minutes. This is the same as

T356 Mathematics Success – Grade 8 LESSON 14: Comparing Proportional Relationships [OBJECTIVE] The student will compare proportional relationships in different forms to solve real Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed

Transition the student to modeling proportional relationships with equations of the form y = cx where c is the constant of proportionality. Guide the student to see the relationship between a unit rate and the constant of proportionality. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Lesson Topic. Relating and Comparing multiple representations of proportional relationships. Relevance/Connections. 8.EE.6: Use similar triangles to explain why the slope . m . is the same between any two distinct points on a

Math 7 Part A Ratios and Proportional Relationships - PRACTICE TEST (pdf) Math 7 Part A Ratios and Proportional Relationships - TEST Math 7 Part B Percents - PRACTICE TEST (word) Some of the worksheets displayed are , Proportional and non proportional comparison 1 of 3, Lesson 8 identifying proportional and non proportional, Equations of proportional relationships, Achieve unit barone jacobs final june 2016, Proportions date period, Lesson plan, Grade levelcourse lessonunit plan name identifying.

and proportion is when this comparison is used to describe a related situation in the same understand this relationship proportional reasoning is used. Proportional thinking and reasoning is knowing the multiplicative relationship between the base ratio and the proportional situation to which it is applied. 2 Proportional reasoning is being able to make comparisons between entities in 5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

mathematically through proportional relationships. They will explore the use of ratios, They will explore the use of ratios, rates and proportions as a problem solving tools. Proportional Relationships, reincp16, Math 7, Math 7.RP.2, proportional equation, proportional graph, proportional table, unit rate, compare unit rate, rate Common Core Math Equation Middle School Relationships Teaching High Schools Relationship Common Cores