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# Integers and Absolute Value - Are two steps forward and two steps back the same thing?

Lesson 1 of 23

## Objective: Students will be able to order and compare integers, including the absolute value of integers.

*65 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 target is, “I can compare integers using <, >, and = by identifying their position on a number line. I understand that the absolute value of a number is its distance from zero.” 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

*50 min*

**Instruction: ** To begin the explore portion of this lesson, I am going to first pass out the Integers and Absolute Value Notes, so that students can attempt to fill in their notes during the introductory video. After this video, I will use student volunteers to help fill in the guided notes, and to identify real world examples of integers. Bringing in real world application of integers is an application of **mathematical practice 4**, modeling with mathematics. At this point, I will direct students to take a look at the number line that I have taped on their table, which shows the correct progression from -10 to 10 – which is an application of **mathematical practice 5**, using tools strategically. Then, we will discuss the comparison problems on the bottom of the notes sheet. I will take volunteers to explain their answer and reasoning for these 4 problems. Next, we will move into absolute value. Based on the video, I am hoping to have student responses for the completion of the guided notes portion, and then I will take a moment to discuss the last statement, which is absolute value can never be negative. To do this, we will discuss going to Grandma’s house, and going to the supermarket. If the supermarket is 10 miles north of you and Grandma is 10 miles south of you, would you say that Grandma lives -10 miles away? I want students to grasp that absolute value is distance, and thus must be positive – negative distances wouldn’t exist! I will then have students try the problems on the bottom of the page with their table. I want students to struggle with #9 a bit before I go over it, as that will lead to a good discussion on whether it is 4 or -4, and treating absolute value bars like parenthesis in the order of operations. The practice problems will be a good reminder that precision is important, as a negative can really change an answer, which is an implementation of **mathematical practice 6**.

Instructional Stategy - How do table challenges work?**: **Time permitting, I am going to conduct a short table challenge, using the site XP Math - Math Games Arcade. I will pull playing cards to determine the order that tables participate. When a table’s card is pulled, they will come to the front of the room and complete the task on the smartboard. The table with the highest score will be the winner. Students will be reminded of the expectations for paying attention during the challenge.

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*Responding to Althea Loschky*

Hi, to reply to this question refer to the explanation of the exploration

If the supermarket is 10 miles north of you and Grandma is 10 miles south of you, would you say that Grandma lives -10 miles away? I want students to grasp that absolute value is distance, and thus must be positive – negative distances wouldn’t exist!

| 4 months ago | Reply

Love your lesson as an introduction to integers and absolute value.

Quick question: What are real world examples of absolute value?

| 2 years ago | Reply

Thank you so much for sharing all of your lessons! I use so much and have learned so much more looking at your lessons!

| 2 years ago | Reply*expand comments*

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*Favorites(16)*

*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