FreeMathWorksheet

Full Practice

TN-MATH-GR3-71014 · v1.-6

Substitution

Grade 3 · Math · Algebra · International Baccalaureate

Grade

Grade 3

Subject

Math

Topic

Algebra

Subtopic

Substitution

Curriculum

International Baccalaureate

Difficulty

Mixed

Time

50 minutes

Total marks

56

Student name

Teacher name

Date

Learning objectives

Recognise substitution accurately in math contexts.
Explain the underlying rule of substitution in the student's own words.
Apply substitution 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 substitution.
[1]
2.Name one fact you already know about substitution.
[1]
3.Name one fact you already know about substitution.
[1]
4.Write down one fact you already know about substitution.
[1]
5.Circle one fact you already know about substitution.
[1]

FreeMathWorksheet · Grade 3 Math

Substitution

Recall

Bloom: Remember · 5 marks

Complete from memory. No calculator, no notes.

1.Label the key term used in substitution described here: item 1.
[1]
2.Define the key term used in substitution described here: item 2.
[1]
3.Define the key term used in substitution described here: item 3.
[1]
4.Complete the key term used in substitution described here: item 4.
[1]
5.Define the key term used in substitution described here: item 5.
[1]

Basic Practice

Bloom: Understand · 6 marks

Work through each item. Show the step you used.

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

FreeMathWorksheet · Grade 3 Math

Substitution

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.Complete the method for part 2. Step 1 has been started for you.
[2]
3.Complete the method 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.Work out fully part 1 on substitution without help.
[2]
2.Work out fully part 2 on substitution without help.
[2]
3.Calculate part 3 on substitution without help.
[2]
4.Calculate part 4 on substitution without help.
[2]
5.Solve part 5 on substitution without help.
[2]
6.Work out fully part 6 on substitution without help.
[2]

FreeMathWorksheet · Grade 3 Math

Substitution

Challenge Questions

Bloom: Analyse · 12 marks

Harder items. Attempt every one, even partially.

1.Show that the statement in part 1 about substitution.
[3]
2.Deduce the statement in part 2 about substitution.
[3]
3.Deduce the statement in part 3 about substitution.
[3]
4.Find and justify the statement in part 4 about substitution.
[3]

Real-life Application

Bloom: Apply · 6 marks

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

1.Use the information to decide a real math situation that depends on substitution.
[3]
2.Apply a real math situation that depends on substitution.
[3]

FreeMathWorksheet · Grade 3 Math

Substitution

Reflection

Bloom: Create · 0 marks

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

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