1. 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...
Unit Launch
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 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:
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____
identifying 6
UNIT
UNIT SELF-TEST QUESTIONS
predicting
representing
RELATIONSHIPS
converting 7
Rating System: 1, 2, 3, 4 1

2. 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 = __
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 = = 1
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.) pints = _______cups
3.) pounds = _______oz.
4.) gallons = _______quarts
5.) inches = ________feet
6.) yards = ___________feet
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. $8
1/hr
4/hr

3. 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.

4. recognizing and applying proportional relationships by

5. equivalent ratios and their constant rate of change.

6. an outcome of a proportional relationship with proof.

7. relationships through tables and graphs.

8. units within a measurement system.

9. Identifying
Predicting
Representing
Converting

10. Identifying
Predicting
Representing
Converting

11. What are the characteristics of a proportional relationship?

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

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

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

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

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

17. (7) * How are proportions connected to fractions?