Ratios and Proportional Relationships


7th Math Unit 3 Information Ratios & Proportional Relationships CRCT Domain & Weight: 22% (19% RP & 3% Geometry) Flip Book for Unit 3 Unit 3 Overview Prerequisites: Unit 3 Unit Length: Approximately 28 days Checklist for Unit 3 Study Guide for Unit 3 Study Guide KEY for Unit 3 Click Here for Suggested Use of Calculators: Unit 3

Click on the links below for resources by Concept: Concept ONE: Proportional Relationships and Constant of Proportionality Concept TWO: Unit Rates Concept THREE: Scale Drawings Concept FOUR: Ratio & Percent Problems

TCSS Concept ONE: Proportional Relationships & Constant of Proportionality (Unit Rate) Standard(s) & Essential Questions




Great!!! Activator: Bad Date! MGSE7.RP.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.



 E. Q. How do I recognize proportional relationships between quantities? MGSE7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. E. Q. How do I represent proportional relationships between quantities? CC.7.RP.2c Represent proportional relationships by equations. MGSE7.RP.2d 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.


Eureka Math License Proportional or Not? Tables & Graphs – 6 Lessons Unit rate/Constant of Proportionality – 4 Lessons

Glencoe Textbook CCSS (2013) o Proportion Tables p. 33-40 o Proportion Graphs p. 45-52

Constant of Proportionality


Eureka Math Unit Rate/Constant of Proportionality

Glencoe Textbook CCSS (2013) o Constant Rate of Change p. 65-80

Short Task: Buses o Challenging task  Support: Do whole group with help  Extend: Small groups  On Target: A mix of both whole group and small group


Differentiation  Spotlight Task: The Fastest  Extend Proportions  Word Problems with Proportions



TCSS Concept TWO: Unit Rates (incl. fractions) Standard(s) & Essential Questions MGSE7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour. E.Q. How do I interpret a unit rate (using words and mathematically)?



Unit Rate



Multiplicative Inverse

Resources   

Background PowerPoint ActivInspire Rates/Ratios ActivInspire Proportions

Eureka Math Ratios & Rates Involving Fractions

These 3 resources are review from 6th grade. Only use as needed and do not spend very much time on them.



Glencoe Textbook CCSS o Basic unit rates p. 3-16 o Complex fraction unit rates p. 17-24 

Spotlight Task: Unit Rate

Unit Rate PowerPoint

Comparing Prices Video

Spotlight Task: Analyze & Apply Unit Rate

CCGPS Frameworks: Better Deal (from Ads)? o




Glencoe Differentiation – (Unit Rate)  Extend  Word Problems


TCSS Concept THREE: Ratios & Scale Drawings Standard(s) & Essential Questions MGSE7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. E.Q. How do I compute actual lengths and areas from a scale drawing?





Activator  Brainpop – Free Scale Drawing Video

Scale Factor

Scale Drawing

Eureka Math License DO: Ratios of Scale Drawings – 4 Lessons Optional: Task: Create a Scale Drawing

CC.7.G.1 

CCGPS Glencoe Textbook p. 571-584

Graphic Organizer

Scale Drawings Power Point

CCGPS Frameworks Creating A Scale Map

Spotlight: Draw and Drive

Spotlight: Thumbs On Fire

Glencoe Differentiation (Scale Models) o Enrich o Word Problems



TCSS Concept FOUR: Ratio & Percent Problems Standard(s) & Essential Questions MGSE7.RP.2c Represent proportional relationships by equations. For example, if total cost 𝑡 is proportional to the number 𝑛 of items purchased at a constant price 𝑝, the relationship between the total cost and the number of items can be expressed as 𝑡 = 𝑝𝑝 . MGSE7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, and fees. E.Q. How do I verify if two quantities are directly proportional? E.Q. How do I solve realworld problems using equivalent ratios? E.Q. How do I represent proportional relationships by equations?



Resources 

Eureka Math – DO these – Very Good! License o Solve % Proportions – 5 Lessons o Markup, Simple Interest, Tax, etc. – 3 Lessons o Real World Population & Mixtures – 2 Lessons




Solving Proportions Power Point

Sales Tax

Proportion: Shadow Problem





CCSS Glencoe Textbook (2013) o Solve proportions p. 55-62 o % proportions p. 103-110 &119-128 o % equation p. 129-140 o Tax, Tips, Markup p. 151-158 o Discount p. 159-166 o Simple Interest p. 167-174 o % Problem Solving p. 181

Simple Interest

CCGPS Activity: Patterns & Percents




o Extend: CCGPS Frameworks Orange Fizz o



Tax / Tip / Markup  Extend  Word Problems Discounts  Extend  Word Problems Simple Interest  Extend  Word Problems




Ratios and Proportional Relationships

7th Math Unit 3 Information Ratios & Proportional Relationships CRCT Domain & Weight: 22% (19% RP & 3% Geometry) Flip Book for Unit 3 Unit 3 Overview ...

268KB Sizes 0 Downloads 0 Views

Recommend Documents

Ratios and Proportional Relationships 6 Weeks
RCC Lesson 3: Equivalent. Ratios. Hands-On (p.21, 28). Visual (p.22). Differentiation (p.28). CC Practice (p.27). Teache

Mathematics Grade 6 Ratios and Proportional Relationships
Sep 26, 2016 - describe proportional relationships using ratios and ratio language and use ratio reasoning to manipulate

Ratios and Proportional Relationships - improve yourself
LESSON 2.1. Unit Rates. 7.4.A, 7.4.B, 7.4.D. LESSON 2.2. Constant Rates of Change. 7.4.A, 7.4.C, 7.4.D. LESSON 2.3. Prop

Proportional Relationships Proportional Relationships
Oct 7, 2010 - Rates. 5-3. Identifying and Writing. Proportions. 5-4. Solving Proportions. 5-5. Customary Measurements. L

Unit 1: Ratios and Proportional Relationships (6.RP)
fractions and ratios. Tape diagrams are illustrated as a solution strategy. http://illustrativemathematics.org/illustrat

Proportional Relationships
Complete these exercises to review skills you will need for this module. Write Fractions as Decimals. EXAMPLE. 1.7. ___.

Ratios and Proportional Relationships - National Council of Teachers
require that students solve problems using proportional reasoning, not specifically using the cross product. Ratios and.

Proportional Relationships
Proportional Relationships. Grade Level Standards Addressed in this Lesson: • CCSS.Math.Content.6.RP.A.3. Use ratio an

Ratios & Proportional Reasoning
Mar 10, 2014 - Lesson 3 Skills Practice. Convert Unit Rates. 1. 660 ft/min = ft/s. 2. 25 mi/h ≈ ft/s. 3. 32 gal/min =

Grade 6 Ratios & Proportional Relationships Sample Unit Plan Unit
for grade 7 work with proportional reasoning and algebra. Students will develop an understanding that a ratio is a multi