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TN-MATH-GR3-49903 · v1.-5

Cosine Ratio

Grade 3 · Math · Trigonometry · OCR

Grade

Grade 3

Subject

Math

Topic

Trigonometry

Subtopic

Cosine Ratio

Curriculum

OCR

Difficulty

Mixed

Time

50 minutes

Total marks

56

Student name

Teacher name

Date

Learning objectives

Recognise cosine ratio accurately in math contexts.
Explain the underlying rule of cosine ratio in the student's own words.
Apply cosine ratio to multi-step and unfamiliar problems.
Justify a chosen method and identify errors in another student's work.

Skills assessed

Fluency and recall
Method and setting out
Reasoning and justification
Problem solving in context
Self-assessment

Instructions

Write your name, your teacher's name and the date in the header.
Answer every question in the space provided. Continue on the back if needed.
Show all working — method marks are awarded even when the final answer is wrong.
Aim to finish in about 50 minutes.
Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 5 marks

Answer quickly. These check you are ready for the topic.

1.Name one fact you already know about cosine ratio.
[1]
2.Circle one fact you already know about cosine ratio.
[1]
3.Name one fact you already know about cosine ratio.
[1]
4.State one fact you already know about cosine ratio.
[1]
5.Name one fact you already know about cosine ratio.
[1]

FreeMathWorksheet · Grade 3 Math

Cosine Ratio

Recall

Bloom: Remember · 5 marks

Complete from memory. No calculator, no notes.

1.Define the key term used in cosine ratio described here: item 1.
[1]
2.Label the key term used in cosine ratio described here: item 2.
[1]
3.Label the key term used in cosine ratio described here: item 3.
[1]
4.List the key term used in cosine ratio described here: item 4.
[1]
5.List the key term used in cosine ratio described here: item 5.
[1]

Basic Practice

Bloom: Understand · 6 marks

Work through each item. Show the step you used.

1.Work out part 1 using the rule for cosine ratio.
[1]
2.Match part 2 using the rule for cosine ratio.
[1]
3.Match part 3 using the rule for cosine ratio.
[1]
4.Work out part 4 using the rule for cosine ratio.
[1]
5.Complete part 5 using the rule for cosine ratio.
[1]
6.Work out part 6 using the rule for cosine ratio.
[1]

FreeMathWorksheet · Grade 3 Math

Cosine Ratio

Guided Practice

Bloom: Understand · 10 marks

The first step is given. Finish the reasoning.

1.Continue the working for part 1. Step 1 has been started for you.
[2]
2.Continue the working for part 2. Step 1 has been started for you.
[2]
3.Continue the working for part 3. Step 1 has been started for you.
[2]
4.Complete the method for part 4. Step 1 has been started for you.
[2]
5.Using the first step given, finish part 5. Step 1 has been started for you.
[2]

Independent Practice

Bloom: Apply · 12 marks

No scaffolding. Set out your full method.

1.Solve part 1 on cosine ratio without help.
[2]
2.Work out fully part 2 on cosine ratio without help.
[2]
3.Solve part 3 on cosine ratio without help.
[2]
4.Solve part 4 on cosine ratio without help.
[2]
5.Solve part 5 on cosine ratio without help.
[2]
6.Work out fully part 6 on cosine ratio without help.
[2]

FreeMathWorksheet · Grade 3 Math

Cosine Ratio

Challenge Questions

Bloom: Analyse · 12 marks

Harder items. Attempt every one, even partially.

1.Prove the statement in part 1 about cosine ratio.
[3]
2.Show that the statement in part 2 about cosine ratio.
[3]
3.Prove the statement in part 3 about cosine ratio.
[3]
4.Find and justify the statement in part 4 about cosine ratio.
[3]

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

1.In context, work out a real math situation that depends on cosine ratio.
[3]
2.Use the information to decide a real math situation that depends on cosine ratio.
[3]

FreeMathWorksheet · Grade 3 Math

Cosine Ratio

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

1.Reflect on how confident you feel with cosine ratio and what you will practise next.
[—]
2.Record how confident you feel with cosine ratio and what you will practise next.
[—]