Unit 5, Lesson 7
Slopes of Segments
Extra Support Materials for Algebra 1
7.1
Warm-up
10 mins
Math Talk: Evaluating Fractions
Standards Alignment
None
Building On
Addressing
Building Toward
Materials
None
Activity Narrative
This Math Talk focuses on subtraction and division. It encourages students to think about the order of each step and to rely on the structure of complex problems to mentally solve problems. The strategies and understandings elicited here will be helpful later in this lesson when students will need to be able to find the slope of the line through 2 given points.
To solve each problem, students need to look for and make use of structure (MP7).
Launch
Tell students to close their books or devices (or to keep them closed). Reveal one problem at a time. For each problem:
- Give students quiet think time, and ask them to give a signal when they have an answer and a strategy.
- Invite students to share their strategies, and record and display their responses for all to see.
- Use the questions in the Activity Synthesis to involve more students in the conversation before moving to the next problem. Keep all previous problems and work displayed throughout the talk.
Action and Expression: Internalize Executive Functions. To support working memory, provide students with sticky notes or mini whiteboards.
Supports accessibility for: Memory, Organization
Supports accessibility for: Memory, Organization
Activity
NoneStudent Task Statement
Evaluate mentally.
Activity Synthesis
The goal of this discussion is to review students’ strategies for subtracting two sets of numbers and dividing the differences, as is often done when calculating the slope. To involve more students in the conversation, consider asking:
- “Who can restate
’s reasoning in a different way?” - “Did anyone have the same strategy but would explain it differently?”
- “Did anyone solve the problem in a different way?”
- “Does anyone want to add on to
’s strategy?” - “Do you agree or disagree? Why?”
- “What connections to previous problems do you see?”
MLR8 Discussion Supports. Display sentence frames to support students when they explain their strategy. Examples:
Advances: Speaking, Representing
- “First, I
because .” - “I noticed
, so I .”
Advances: Speaking, Representing
7.2
Activity
15 mins
7.3
Activity
15 mins
Ups and Downs
Instructional Routines
Materials
None
Activity Narrative
In this activity, students consider the slope of segments in a situation. Students interpret the meaning of slope in the situation, then find the segments where the slope is greatest and least. As students interpret the values in the context of this situation, they reason abstractly and quantitatively (MP2). In the associated Algebra 1 lesson, students examine the average rate of change in situations. The work of this activity supports students by allowing them to consider only segments between two points connected by a segment so they can focus on greater trends in the Algebra 1 lesson.
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