UNIT SELF-TEST QUESTIONS Betchan & Gonzales The Unit Organizer Unit 4 PreAP NAME 4 BIGGER PICTURE DATE Proportionality 2 LAST UNIT /Experience CURRENT UNIT CURRENT UNIT 3 NEXT UNIT /Experience 1 8 UNIT SCHEDULE 5 UNIT MAP is about... Unit Launch _________ and ______________proportional relationships by identifying _____________ ratios and their constant rate of change. 6.4B, 6.4C converting ________ between measurement systems, including the use of proportions and the use of unit rates. 6.4H 7.4E predicting representing . an outcome of a ___________relationship with proof. 6.4B, 6.4D relationships through _______ and _______. 6.4B, 6.5A Unit 4 Test What are the characteristics of a proportional relationship? before____ after____ How do I set up a proportion accurately to solve problems? before____ after____ How can I represent proportional relationships using tables and graphs? before____ after____ What are the steps for solving measurement conversions with proportions? before____ after____ How can I identify the constant rate of change? before____ after____ * Why can’t I use addition to create a proportional relationship?before____ after____ * How are proportions connected to fractions?before____ after____ 6 UNIT UNIT SELF-TEST QUESTIONS RELATIONSHIPS 7 Rating System: 1, 2, 3, 4 1

Convert Measurement Units Understanding Proportions is about recognizing and applying proportional relationships by Identifying equivalent ratios and their constant rate of change. Predicting an outcome of a proportional relationship with proof. Representing relationships through tables and graphs. Converting units within a measurement system. A ratio is: a__________________________________________ of two quantities describing the same attribute. Ratios can be written 3 ways: using the word __, using a __ or in the form of a _________. A ratio of 3 hammers to 12 nails can be written as 3___12 ___ 12 A ratio expressed as a fraction needs to be simplified. 3 = __ The ratio of hammer to nails is: ____________________________________________________________ Convert into a decimal: 1 = 4 The Constant Rate of Change is_________________________________________________________ Identify the Constant Rate of Change: ↷ ↷ 1 = 2 5 = 1 2 4 25 5 A ratio table has columns filled with pairs of numbers that have the same ____________________________.. Equivalent ___________ express the same relationship between quantities. Frederick earns $8 per hour for babysitting. At this rate, how much will he make in 4 hours? Erasers cost 5 cents each at the school store. The table shows this relationship. List and graph as ordered pairs. Predict how much it would cost for 20 erasers. A proportion is an __________ Stating that two ratios or rates are _______________. Find the unit rate: 1) Ana downloaded 35 songs in 5 minutes. How many songs did she download in 1 minute? 2) Sydney traveled 360 miles on 12 gallons of gas. How many miles did she travel per gallon Determine if the following have a proportional relationship: 1) $78 spent in 3 hours and $25 spent in 2 hours. 2) 27 grams of fat in 9 servings and 18 grams of fat in 6 servings. Convert Measurement Units 4000 lbs = _______Tons 2.) 12 pints = _______cups 3.) 5 pounds = _______oz. 4.) 10 gallons = _______quarts 5.) 36 inches = ________feet 6.) 21 yards = ___________feet $8 1/hr 4/hr Unit Self-Test Questions:

Unit 4 Proportionality (3 weeks): Readiness: 6.4B, 6.4H Supporting: 6.4C, 6.4D, 6.4E, 6.5A Process: 6.1A, 6.1B, 6.1C, 6.1D, 6.1E, 6.1F, 6.1G Pre-AP Suggestions: 7.4E (including decimal values in the constant rate of change) Readiness: The student applies mathematical process standards to develop an understanding of the proportional relationship in problem situations. 6.4B apply qualitative and quantitative reasoning to solve prediction and comparison of real world problems involving ratios and rates 6.4H convert units within a measurement system, including the use of proportions and unit rates. Supporting: 6.4C give examples of ratios as multiplicative comparisons of two quantities describing the same attribute 6.4D give examples of rates as the comparison by division of two quantities having different attribute, including rates as quotients 6.4E represent ratios and percents with concrete models, fractions and decimals 6.5A represent mathematical and real world problems involving ratios and rates using scale factors, tables, graphs and proportions. Pre-AP: 7.4E Convert between measurement systems, including the use of proportions and the use of unit rates.

recognizing and applying proportional relationships by

equivalent ratios and their constant rate of change.

an outcome of a proportional relationship with proof.

relationships through tables and graphs.

units within a measurement system.

Identifying Predicting Representing Converting

Identifying Predicting Representing Converting

What are the characteristics of a proportional relationship?

(2) How do I set up a proportion accurately to solve problems?

(3) How can I represent proportional relationships using tables and graphs?

(4) What are the steps for solving measurement conversions with proportions?

(5) How can I identify the constant rate of change?

(6) * Why can’t I use addition to create a proportional relationship?

(7) * How are proportions connected to fractions?

Let’s launch the Unit 4 Organizer! The unit organizer is used to organize important information and it allows you to see the overall flow of the unit. As we fill this out, I expect you to: Participate in the class discussion of the parts of the Unit Organizer. Record the correct information on your Unit Organizer. Keep it and have it in class everyday so that we can use it throughout the unit.

C.R.A.F.T. C- Create a Context Boxes: 1-4

Applying Proportions to Percents UNIT SELF-TEST QUESTIONS The Unit Organizer Unit 4 NAME 4 BIGGER PICTURE DATE Proportionality 2 LAST UNIT /Experience CURRENT UNIT CURRENT UNIT 3 NEXT UNIT /Experience 1 Operations with integers and the coordinate plane Understanding Proportions Applying Proportions to Percents 8 UNIT SCHEDULE 5 UNIT MAP is about... Adding Integers with Chips Lab: - 60 sec play time - problem on board (+ + + ; - + - ; - + +) - explain red= negative yellow= positive - students model -give 2 minutes to explore -share out= be sure zero pair comes up -give new problem repeat process -closing: fill in box on UO Adding Integers Practice pages 204-205 review how to add integers using the number line students complete practice on page 206 and 207 → put answers up around room so they can self check Subtracting Integers with Chips Lab: 6 UNIT UNIT SELF-TEST QUESTIONS RELATIONSHIPS 7 20

C.R.A.F.T. R- Recognize Content Structures Box: 5

Applying Proportions to Percents UNIT SELF-TEST QUESTIONS The Unit Organizer Unit 4 NAME 4 BIGGER PICTURE DATE Proportionality 2 LAST UNIT /Experience 1 CURRENT UNIT CURRENT UNIT 3 NEXT UNIT /Experience Operations with integers and the coordinate plane Understanding Proportions Applying Proportions to Percents 8 UNIT SCHEDULE 5 UNIT MAP is about... recognizing and applying proportional relationships by identifying equivalent ratios and their constant rate of change. 6.4B, 6.4C converting units within a measurement system. 6.4H predicting representing an outcome of a proportional relationship with proof. 6.4B, 6.4D relationships through tables and graphs. 6.4B, 6.5A Adding Integers with Chips Lab: - 60 sec play time - problem on board (+ + + ; - + - ; - + +) - explain red= negative yellow= positive - students model -give 2 minutes to explore -share out= be sure zero pair comes up -give new problem repeat process -closing: fill in box on UO Adding Integers Practice pages 204-205 review how to add integers using the number line students complete practice on page 206 and 207 → put answers up around room so they can self check Subtracting Integers with Chips Lab: 6 UNIT UNIT SELF-TEST QUESTIONS RELATIONSHIPS 7 22

C.R.A.F.T. A- Acknowledge Unit Relationships Box: 6

Applying Proportions to Percents UNIT SELF-TEST QUESTIONS The Unit Organizer Unit 4 NAME 4 BIGGER PICTURE DATE Proportionality 2 LAST UNIT /Experience 1 CURRENT UNIT CURRENT UNIT 3 NEXT UNIT /Experience Operations with integers and the coordinate plane Understanding Proportions Applying Proportions to Percents 8 UNIT SCHEDULE 5 UNIT MAP is about... recognizing and applying proportional relationships by identifying equivalent ratios and their constant rate of change. 6.4B, 6.4C converting units within a measurement system. 6.4H predicting representing an outcome of a proportional relationship with proof. 6.4B, 6.4D relationships through tables and graphs. 6.4B, 6.5A Adding Integers with Chips Lab: - 60 sec play time - problem on board (+ + + ; - + - ; - + +) - explain red= negative yellow= positive - students model -give 2 minutes to explore -share out= be sure zero pair comes up -give new problem repeat process -closing: fill in box on UO Adding Integers Practice pages 204-205 review how to add integers using the number line students complete practice on page 206 and 207 → put answers up around room so they can self check Subtracting Integers with Chips Lab: identify 6 UNIT UNIT SELF-TEST QUESTIONS predict represent RELATIONSHIPS convert 7 24

C.R.A.F.T. F- Frame Unit Questions Box: 7

Unit 4 The Unit Organizer Betchan, Gonzales, Strauss Proportionality NAME Betchan, Gonzales, Strauss 4 BIGGER PICTURE DATE Proportionality 2 LAST UNIT /Experience NEXT UNIT /Experience 1 CURRENT UNIT CURRENT UNIT 3 Operations with integers and the coordinate plane Understanding Proportions Applying Proportions to Percents 8 UNIT SCHEDULE 5 UNIT MAP is about... recognizing and applying proportional relationships by identifying equivalent ratios and their constant rate of change. 6.4B, 6.4C converting units within a measurement system. 6.4H predicting representing an outcome of a proportional relationship with proof. 6.4B, 6.4D relationships through tables and graphs. 6.4B, 6.5A Adding Integers with Chips Lab: - 60 sec play time - problem on board (+ + + ; - + - ; - + +) - explain red= negative yellow= positive - students model -give 2 minutes to explore -share out= be sure zero pair comes up -give new problem repeat process -closing: fill in box on UO Adding Integers Practice pages 204-205 review how to add integers using the number line students complete practice on page 206 and 207 → put answers up around room so they can self check Subtracting Integers with Chips Lab: What are the characteristics of a proportional relationship? before____ after____ How do I set up a proportion accurately to solve problems? before____ after____ How can I represent proportional relationships using tables and graphs? before____ after____ What are the steps for solving measurement conversions with proportions? before____ after____ How can I identify the constant rate of change? before____ after____ * Why can’t I use addition to create a proportional relationship?before____ after____ * How are proportions connected to fractions?before____ after____ identify 6 UNIT UNIT SELF-TEST QUESTIONS predict represent RELATIONSHIPS convert 7 Rating System: 0, 1, 2, 3 26

C.R.A.F.T. T- Tie Content to Tasks Box: 8

Applying Proportions to Percents UNIT SELF-TEST QUESTIONS The Unit Organizer Unit 4 NAME 4 BIGGER PICTURE DATE Proportionality 2 LAST UNIT /Experience 1 CURRENT UNIT CURRENT UNIT 3 NEXT UNIT /Experience Operations with integers and the coordinate plane Understanding Proportions Applying Proportions to Percents 8 UNIT SCHEDULE 5 UNIT MAP is about... Unit Launch recognizing and applying proportional relationships by 11/8 11/9 Simplifying Practice identifying equivalent ratios and their constant rate of change. 6.4B, 6.4C converting units within a measurement system. 6.4H predicting representing an outcome of a proportional relationship with proof. 6.4B, 6.4D relationships through tables and graphs. 6.4B, 6.5A Adding Integers with Chips Lab: - 60 sec play time - problem on board (+ + + ; - + - ; - + +) - explain red= negative yellow= positive - students model -give 2 minutes to explore -share out= be sure zero pair comes up -give new problem repeat process -closing: fill in box on UO Adding Integers Practice pages 204-205 review how to add integers using the number line students complete practice on page 206 and 207 → put answers up around room so they can self check Subtracting Integers with Chips Lab: What are the characteristics of a proportional relationship? before____ after____ How do I set up a proportion accurately to solve problems? before____ after____ How can I represent proportional relationships using tables and graphs? before____ after____ What are the steps for solving measurement conversions with proportions? before____ after____ How can I identify the constant rate of change? before____ after____ * Why can’t I use addition to create a proportional relationship?before____ after____ * How are proportions connected to fractions?before____ after____ identifying 6 UNIT UNIT SELF-TEST QUESTIONS predicting representing RELATIONSHIPS converting 7 Rating System: 0, 1, 2, 3 28

Convert Measurement Units Understanding Proportions is about recognizing and applying proportional relationships by Identifying equivalent ratios and their constant rate of change. Predicting an outcome of a proportional relationship with proof. Representing relationships through tables and graphs. Converting units within a measurement system. A ratio is: a__________________________________________ of two quantities describing the same attribute. Ratios can be written 3 ways: using the word __, using a __ or in the form of a _________. A ratio of 3 hammers to 12 nails can be written as 3___12 ___ 12 A ratio expressed as a fraction needs to be simplified. 3 = __ The ratio of hammer to nails is: ____________________________________________________________ Convert into a decimal: 1 = 4 The Constant Rate of Change is_________________________________________________________ Identify the Constant Rate of Change: ↷ ↷ 1 = 2 5 = 1 2 4 25 5 A ratio table has columns filled with pairs of numbers that have the same ____________________________.. Equivalent ___________ express the same relationship between quantities. Frederick earns $8 per hour for babysitting. At this rate, how much will he make in 4 hours? Erasers cost 5 cents each at the school store. The table shows this relationship. List and graph as ordered pairs. Predict how much it would cost for 20 erasers. A proportion is an __________ Stating that two ratios or rates are _______________. Find the unit rate: 1) Ana downloaded 35 songs in 5 minutes. How many songs did she download in 1 minute? 2) Sydney traveled 360 miles on 12 gallons of gas. How many miles did she travel per gallon Determine if the following have a proportional relationship: 1) $78 spent in 3 hours and $25 spent in 2 hours. 2) 27 grams of fat in 9 servings and 18 grams of fat in 6 servings. Convert Measurement Units 4000 lbs = _______Tons 2.) 12 pints = _______cups 3.) 5 pounds = _______oz. 4.) 10 gallons = _______quarts 5.) 36 inches = ________feet 6.) 21 yards = ___________feet $8 1/hr 4/hr Unit Self-Test Questions: