Unit 9 Proportional Relationships & Percentages
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
Addressing:
NC.7.RP.1
NC.7.RP.2
Building Toward:
NC.7.RP.1
NC.7.RP.2
Building On:
NC.6.NS.1
NC.6.RP.3
NC.7.G.1
I can solve problems about ratios of fractions and decimals.
When there is a constant rate, I can identify the two quantities that are in a proportional relationship.
I can use a table with 2 rows and 2 columns to find an unknown value in a proportional relationship.
Ratios and Rates with Fractions
Digital Manipulative
YouTube Video
Ratios and Rates with Fractions
Khan Academy Practice
Revisiting Proportional Relationships
YouTube Video
Revisiting Proportional Relationships
Khan Academy Practice
2
Addressing:
NC.7.RP.2
Building Toward:
NC.7.RP.3
Building On:
NC.6.EE.3
NC.6.RP.3
NC.7.RP.1
I can use the distributive property to rewrite an expression like (x + ½ x) as (1 + ½ )x.
I understand that “half as much again” and “multiply by 3/2” mean the same thing.
3
I can write fractions as decimals.
I can use the distributive property to rewrite an equation like x+0.5x=1.5x.
I understand that “half as much again” and “multiply by 1.5” mean the same thing.
4
Addressing:
NC.7.RP.3
Building Toward:
NC.7.RP.3
Building On:
NC.6.RP.3
I can draw a tape diagram that represents a percent increase or decrease.
When I know a starting amount and the percent increase or decrease, I can find the new amount.
5
I can solve percent increase and decrease problems by writing an equation to represent the situation and solving it.
Khan Academy Video
Rational Word Problem with Fractions
YouTube Video
Khan Academy Practice
Video Lesson Summary: Percent Increase and Decrease From Illustrative Mathematics
6
Addressing:
NC.7.RP.3
Building Toward:
NC.7.RP.3
Building On:
NC.5.NF.4
I can solve percent increase and decrease problems by writing an equation to represent the situation and solving it.
7
I understand and can solve problems about sales tax and tip.
YouTube Video
Khan Academy Practice
Video Lesson Summary: Applications of Percentages From Illustrative Mathematics
8
Addressing:
NC.7.RP.3
Building Toward:
NC.7.RP.3
Building On:
NC.6.RP.3
NC.6.EE.2
I understand and can solve problems about commission, interest, markups, and discounts.
Khan Academy Videos
Khan Academy Practice
Discount, Markup and Commission Word Problems
YouTube Video
Video Lesson Summary: Applications of Percentages From Illustrative Mathematics
9
Addressing:
NC.7.RP.3
Building Toward:
NC.7.RP.3
Building On:
NC.6.RP.3
I can find the percentage increase or decrease when I know the original amount and the new amount.
10
Addressing:
NC.7.RP.3
Building Toward:
NC.7.RP.3
Building On:
NC.2.MD.2
NC.5.NBT.7
NC.6.RP.3
I understand that all measurements include some error.
I can represent measurement error as a percentage of the correct measurement.
I can solve problems that involve percent error.
Measurement Error
YouTube Video
Percent Error
YouTube Video
Math is Fun
IXL Math
Video Lesson Summary: More Applications of Percentages From Illustrative Mathematics