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# Multiplying and Dividing Rational Numbers

Lesson 20 of 23

## Objective: Students will be able to multiply and divide positive and negative rational numbers.

## Big Idea: Where does the point go? Students will take a look at a previously learned skill with a new twist – decimals with signs!

*62 minutes*

#### Launch

*5 min*

**Opener: **As students enter the room, they will immediately pick up and begin working on the opener. Please see my instructional strategy clip for how openers work in my classroom (**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 multiply and divide rational numbers.” 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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#### Explore

*55 min*

**Multiplying and Dividing Rational Numbers Notes: **Multiplying and Dividing Signed Numbers Explore Narrative

**Multiplying and Dividing Rational Numbers Puzzle:** To continue practice with both signed decimals and fractions, students will complete a puzzle worksheet at their tables. The sheet covers both positive and negative fractions and decimals, as students need time to work with both in order to build fluency. I will walk around and give assistance as necessary; most likely I will end up sitting with the lowest group to get them going! This sheet will become homework if it is not finished in class. It will continue to be very important for students to pay close attention to signs and integers rules, as precision will make all the difference in a right or wrong answer (**mathematical practice 6**).

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#### Summarize

*2 min*

**Instructional Strategy - Table Discussion ** To summarize this lesson, I am going to have students have a table discussion to recap the rules for performing the four operations on rational numbers. I will walk around and listen in, and then I will call on 4 tables to share out – one for each operation.

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###### Multiplying and Dividing Signed Numbers

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Environment: Urban

Environment: Urban

- 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

- LESSON 1: Integers and Absolute Value - Are two steps forward and two steps back the same thing?
- LESSON 2: Modeling Addition - Opposites Attract, You Know?!
- LESSON 3: Integer Addition Word Problems - Can You Picture It? (Two Day Lesson)
- LESSON 4: Adding Integers - What's the Rule?
- LESSON 5: Multiple Addends - More than 2 numbers to add?
- LESSON 6: Adding Integers Review
- LESSON 7: Adding Integers Test
- LESSON 8: Subtracting Integers - How does subtraction relate to addition?
- LESSON 9: Subtracting Integers Practice - Can you subtract more than two integers?
- LESSON 10: Addition and Subtraction of Integers - DOMINOES!
- LESSON 11: Adding and Subtracting Integers - Real World Applications
- LESSON 12: Adding and Subtracting Integers - REVIEW!
- LESSON 13: Adding and Subtracting Integers Test
- LESSON 14: Adding and Subtracting Signed Fractions - Remember Those Integer Rules!
- LESSON 15: Adding and Subtracting Signed Fractions Fluency Practice
- LESSON 16: Adding and Subtracting Signed Decimals - Line Up Those Points!
- LESSON 17: Adding and Subtracting Rational Numbers - Practice Makes Perfect!
- LESSON 18: Adding and Subtracting Rational Numbers - Test
- LESSON 19: Multiplying and Dividing Integers
- LESSON 20: Multiplying and Dividing Rational Numbers
- LESSON 21: Problem Solving with Rational Numbers
- LESSON 22: Fractions to Decimals - Terminate or Repeat?
- LESSON 23: Rational Number Unit Test