math · Grade 8
Reason With Right Triangle Lengths
Use the Pythagorean relationship for right triangles.
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Explore the related learning targets, foundations and possible next connections.
Learning goals
- Use the Pythagorean relationship for right triangles.
Before you begin
Understand the words and representations introduced in the Explore activity.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
Follow the sequence
Complete practice
Practice previewReason With Right Triangle Lengths
Practice · Independent · 25 min
Use the Pythagorean relationship for right triangles. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Practice previewReason With Right Triangle Lengths: Explore and Explain
Explore · Independent · 10 min
Use the Pythagorean relationship for right triangles. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Practice previewReason With Right Triangle Lengths: Practice Independently
Practice · Independent · 10 min
Use the Pythagorean relationship for right triangles. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Practice previewReason With Right Triangle Lengths: Apply and Create
Apply · Independent · 15 min
Use the Pythagorean relationship for right triangles. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Download the unit pack
Numbered activities, separate answer keys and a teaching guide in one ZIP. The pack uses the focused sequence; the complete practice sheet above is an alternative.
Teaching and response guide
- Begin with: Find c if the legs are 3 and 4.
- Connect the response to: Find the missing leg if c = 10 and the other leg is 6.
- Ask students to apply the idea: Find the distance from (0,0) to (6,8).
Watch for: Accepting an answer without checking whether it uses the material and satisfies the requested relationship or criteria.
Check the answer criteria for each task. A supported explanation may have more than one acceptable response. These activities offer evidence to discuss; completing a sheet alone does not establish mastery.