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# Fractions to Decimals - Terminate or Repeat?

Lesson 22 of 23

## Objective: Students will be able to convert fractions to decimals using long division.

## Big Idea: How do you turn a fraction into a decimal? This lesson will teach you to be a conversion king!

*67 minutes*

#### Launch

*10 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 targets are, “I can convert a fraction to a decimal using long division, and I can solve word problems with rational numbers.” Students will jot the learning targets 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*

**Fractions to Decimals Notes: **Fractions to Decimals Explore Narrative

**Table Practice**: For the remainder of class, students are going to work on 8 word problems containing fractions. Though this was not the focus of today’s class, it is a concept that gives students difficulty, and since this particular lesson is shorter, it provides time for practicing this difficult skill. Therefore, with their tables, students are going to work on the problems that I have provided them on the back of their notes sheet. I have provided the answers for the students – it will be their job to figure out how to get those answers and explain why those answers are correct. I find that giving students the answers helps – a lot. Those students who rush to be finished but have a sheet of wrong answers have to actually do the work! Giving the answers also puts the focus on the work – which truly is the most important aspect. Since the students already have the answers, I will just be walking around to provide assistance as needed (only after they have talked as a table and exhausted all possibilities, **mathematical practice 1**). We will not go over the problems whole class unless a specific question gives all students problems. These problems give students opportunity to model real world situations (**mathematical practice 4**) and reason abstractly (**mathematical practice 2**).

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#### Summarize

*2 min*

**Open Forum: **To summarize the lesson, I am just going to take questions from the kids regarding the material and the upcoming test. At this point in the year we have a developed a very good relationship, and the kids do not have any trouble asking questions and sharing their thoughts.

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*Resources(24)*

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