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# Segments First

Lesson 2 of 7

## Objective: SWBAT identify and apply properties of line segments to problems.

*55 minutes*

#### Line Constructions and Notes

*25 min*

**Constructions****: **

Congruent Segments Construction:

We will then work on completing 2 constructions using a straight edge and a compass. In the first construction, we will ask students to construct a congruent segment to a given segment. The steps have been provided for students to work through in pairs but as this is the first construction of the year, you may want to work step by step with students who are using a compass for the first time. It’s also critical to get students to think about the deeper reasoning behind why this construction works and how it relates to the ideas in this lesson. We can do this by asking students some follow-up questions like,

- Why must these segments be congruent?
- How can we prove these segments are congruent?

Students will respond with answers like, we could measure each of the segments to ensure that the segments are congruent.

Midpoint/Line Bisector Construction:

In the second construction, we will find the bisector for a line. To engage students in deeper level thinking about this idea, students are presented with a challenge question asking them how to find the midpoint of a given line without a ruler. Many students may fold their paper or try to use marks. The notes included scaffolded steps and space for students to create circles using the endpoints of the given line segment as the center. Students will be asked to explore and determine how and when we have overlapping circles and what the intersection points (or lack of!) means in relation to the line segment and midpoint.

Teachers can then introduce the steps to constructing a line bisector or finding a midpoint and connect this with the exploration and circles that students have previously drawn.

Each construction has two examples, one for students to work on with the teacher in a whole class setting and the second example for students to work with independently or with a partner. I’ve also included links to these constructions being done which is a great resource for absent students or for review.

#### Resources

*expand content*

**Activity****: **If time remains, teachers can have students work on the short activity - Points, Lines and Planes and then review the answers to ensure that students understood the key concepts from the lesson. Once this is done, students can continue working on the activity from the previous lesson called points, lines and planes. This connects with MP #4 where students are asked to model mathematics.

**Exit Ticket:** Students will complete an Exit Ticket question that asks them to use the segment addition property to find missing lengths.

**Homework:** Students will be asked to finish activity and will be assigned questions in the textbook.

*expand content*

These lessons follow the Glencoe Book I'm using, but your approach is one of discovery, so the students discover the rules.

Which problems do you assign from the book?

| 11 months ago | Reply

Hi Gabriel,

If you create a betterlesson account, you should be able to access all of the lessons and documents. Hope that helps!

Thank you, Stephanie

| 3 years ago | Reply

I like what you doing and I would appreciate if you let me use your lessons

Thank you

Gabriel

gattar@mi.rr.com

| 3 years ago | Reply

Hi Lisa,

The strategy folder is not yet on the website - which specific strategy were you hoping to hear about? I can upload the video separately to this lesson for you.

Thanks, Stephanie

| 3 years ago | Reply*Responding to lisa coffey*

Hi Lisa,

The designers of the website just made some changes so I am not sure where the strategy folder is - let me get back to you on that!

The answer to 6a) 1/3x and 6b) 7/3x

Take care, Stephanie

| 3 years ago | Reply

Hello, can you tell me where to find your strategy folder that you speak of in the video. Thanks, lisa

| 3 years ago | Reply*expand comments*

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