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More Unit Rates Fluency - Practice, Practice!

# More Unit Rates Fluency - Practice, Practice!

Unit 2: Proportional Reasoning

Lesson 4 of 14

Lesson 4 of 14

## Objective: Students will be able to calculate unit rates involving complex fractions without the use of a calculator.

Subject(s):

Math, Number Sense and Operations, unit rate, complex fractions

*60 minutes*

1

#### Launch

*10 min*

**Opener: **As students enter the room, they will immediately pick up and begin working on the opener –Instructional Strategy - Process for openers**. **This method of working and going over the opener lends itself to allow students to construct viable arguments and critique the reasoning of others, which is **mathematical practice 3**.

**Learning Target: **After completion of the opener, I will address the day’s learning targets to the students. In today’s lesson, the intended target is, “I can calculate unit rates, including those involving complex fractions, without the use of a calculator.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day).

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2

#### Explore

*45 min*

**Self Checking Unit Rate Activity**: Coloring....I said it....coloring. This assignment (Self Checking Color Sheet), however, is not really about the coloring - it is about the math! Students will work to complete 20 unit rate problems without a calculator. I like for students to get immediate feedback on their efforts, and since there is only 1 of me, a self-checking activity like a color by answer is a good method of providing that immediate feedback. Thus, students will complete a problem and look for their answer on the scarecrow, and should they choose to color (I don't force them to color, but most like the short break after a problem) they color the corresponding section of the picture whatever color the number says (for example, if question 1 is red, and the answer is 54 - anywhere they see a 54 on the picture they color it red). While students are working on the assignment, I am freed up to assist as necessary, as I am not bogged down by "is this right?" "can you look at this?" When completing the problems, students are urged to keep trying until they can arrive at an answer on the picture (**mathematical practice 1**). Working with complex fractions and units requires students to be very careful with operations and units (**mathematical practice 6**). As students become more comfortable with the problems, they are able to develop shortcuts for making the problems easier (**mathematical practice****8**) - for example, looking for the term "per" to help them determine the numerator and denominator of the rate.

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##### Similar Lessons

###### Proportional Relationships With Decimals

7th Grade Math » Proportional Relationships

Big Idea:
Students expand and solve ratio problems involving decimals using unit rates and a double number line.

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- UNIT 1: Introduction to Mathematical Practices
- UNIT 2: Proportional Reasoning
- UNIT 3: Percents
- UNIT 4: Operations with Rational Numbers
- UNIT 5: Expressions
- UNIT 6: Equations
- UNIT 7: Geometric Figures
- UNIT 8: Geometric Measurement
- UNIT 9: Probability
- UNIT 10: Statistics
- UNIT 11: Culminating Unit: End of Grade Review

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- LESSON 1: Introduction to Unit Rates - Learn to be a smart shopper!
- LESSON 2: Unit Rates with Complex Fractions
- LESSON 3: Unit Rates Fluency - Practice makes Perfect!
- LESSON 4: More Unit Rates Fluency - Practice, Practice!
- LESSON 5: Proportional and Nonproportional Relationships - Can you find the constant?
- LESSON 6: Equations of Proportional Relationships - Who needs a table?
- LESSON 7: Equations of Proportional Relationships - Fluency Practice!
- LESSON 8: Graphs of Proportional Relationships - What are the two important characteristics?
- LESSON 9: Graphing Proportional Relationships - Fluency Practice
- LESSON 10: Problem Solving Connections - Can you apply what you know about proportional reasoning?
- LESSON 11: Proportional Reasoning Review - Remember Hollywood Squares?
- LESSON 12: Proportional Reasoning Test - Time to Put it All Together!
- LESSON 13: Proportional Reasoning Remediation/Enrichment
- LESSON 14: Proportional Reasoning Retest - REWIND and Try Again!

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