Unit 3
Unit Rates & 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.6.RP.3
Building On:
NC.2.MD.3
NC.4.MD.1
NC.5.MD.1
NC.5.NF.4
When I read or hear a unit of measurement, I know whether it is used to measure length, weight, or volume.
I can name common objects that are about as long as 1 inch, foot, yard, mile, millimeter, centimeter, meter, or kilometer.
I can name common objects that weigh about 1 ounce, pound, ton, gram, or kilogram, or that hold about 1 cup, quart, gallon, milliliter, or liter.
I know that when we measure things in two different units, the pairs of measurements are equivalent ratios.
I can convert measurements from one unit to another, using double number lines, tables, or by thinking about “how much for 1.
Anchoring Units of Measurement
YouTube Videos
Metric System Conversions Song
Capacity Song | Customary Units of Liquid Measurement Song
Math Antics - Intro to the Metric System
Converting Units
Khan Academy Video
Khan Academy Practice
Ratios and Units of Measurement
Video Lesson Summary: Converting Measurements From Illustrative Mathematics
2
Addressing:
NC.6.RP.2
NC.6.RP.3
Building On:
NC.5.NF.3
I understand that if two ratios have the same rate per 1, they are equivalent ratios.
When measurements are expressed in different units, I can decide who is traveling faster or which item is the better deal by comparing “how much for 1” of the same unit.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Unit Rates From Illustrative Mathematics
3
I can choose which unit rate to use based on how I plan to solve the problem.
When I have a ratio, I can calculate its two unit rates and explain what each of them mean in the situation.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Unit Rates From Illustrative Mathematics
4
I can give an example of two equivalent ratios and show that they have the same unit rates.
I can multiply or divide by the unit rate to calculate missing values in a table of equivalent ratios.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Unit Rates From Illustrative Mathematics
5
I can solve more complicated problems about constant speed situations.
I can choose how to use unit rates to solve problems.
More About Constant Speed
IXL Math
Solving Rate Problems
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Unit Rates From Illustrative Mathematics
6
Addressing:
NC.6.RP.4
Building Toward:
NC.6.RP.4
Building On:
NC.2.MD.8
NC.5.NBT.3
I can explain the meaning of percentages using dollars and cents as an example.
I can create a double number line with percentages on one line and dollar amounts on the other line.
YouTube Videos
Math Antics - What Are Percentages?
What are percentages? Math Concepts for Kids
Khan Academy Video
Khan Academy Practice
IXL Math
Video Lesson Summary: Understanding Percentages From Illustrative Mathematics
7
I can use double number line diagrams to solve different problems like “What is 40% of 60?” or “60 is 40% of what number?
8
I can use tape diagrams to solve different problems like “What is 40% of 60?” or “60 is 40% of what number?”
9
Addressing:
NC.6.RP.4
Building Toward:
NC.6.RP.4
Building On:
NC.4.NF.4
NC.5.NF.4
When I read or hear that something is 10%, 25%, 50%, or 75% of an amount, I know what fraction of that amount they are referring to.
10
Addressing:
NC.6.RP.4
Building On:
NC.6.RP.4
NC.5.NBT.7
I can choose and create diagrams to help me solve problems about percentages.
11
I can solve different problems like “What is 40% of 60?” by dividing and multiplying.
12
I can solve different problems like “60 is what percentage of 40?” by dividing and multiplying.