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math · Grade 10 · Geometry

Choose Trigonometric Ratios

Relate sides to a chosen acute angle and use trigonometric ratios.

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Explore the related learning targets, foundations and possible next connections.

Learning goals

  • Relate sides to a chosen acute angle and use trigonometric ratios.

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

Choose Trigonometric Ratios: first student practice pagePractice preview
Grade 10
Key

Choose Trigonometric Ratios

Practice · Independent · 25 min

Relate sides to a chosen acute angle and use trigonometric ratios. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.

Printable activity

1. Explore

Choose Trigonometric Ratios: Explore and Explain: first student practice pagePractice preview
Grade 10
Key

Choose Trigonometric Ratios: Explore and Explain

Explore · Independent · 10 min

Relate sides to a chosen acute angle and use trigonometric ratios. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.

Printable activity

2. Practice

Choose Trigonometric Ratios: Practice Independently: first student practice pagePractice preview
Grade 10
Key

Choose Trigonometric Ratios: Practice Independently

Practice · Independent · 10 min

Relate sides to a chosen acute angle and use trigonometric ratios. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.

Printable activity

3. Apply

Choose Trigonometric Ratios: Apply and Create: first student practice pagePractice preview
Grade 10
Key

Choose Trigonometric Ratios: Apply and Create

Apply · Independent · 15 min

Relate sides to a chosen acute angle and use trigonometric ratios. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.

Printable activity

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

  1. Begin with: Find sin A.
  2. Connect the response to: Find tan A.
  3. Ask students to apply the idea: For the other acute angle, what is the sine ratio in the 3 4 5 triangle?

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.