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TN-MATH-GR3-90302 · v2.-5

Decimal Addition

Grade 3 · Math · Decimals · AQA

Grade

Grade 3

Subject

Math

Topic

Decimals

Subtopic

Decimal Addition

Curriculum

AQA

Difficulty

Foundation

Time

20 minutes

Total marks

Student name

Teacher name

Date

Learning objectives

Recognise decimal addition accurately in math contexts.
Explain the underlying rule of decimal addition in the student's own words.
Apply decimal addition 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 20 minutes.
Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 2 marks

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

1.Name one fact you already know about decimal addition.
[1]
AnswerAccept any correct response that applies the decimal addition rule accurately.
2.Circle one fact you already know about decimal addition.
[1]
AnswerAccept any correct response that applies the decimal addition rule accurately.

Recall

Bloom: Remember · 2 marks

Complete from memory. No calculator, no notes.

1.Label the key term used in decimal addition described here: item 1.
[1]
AnswerAccept any correct response that applies the decimal addition rule accurately.
2.Label the key term used in decimal addition described here: item 2.
[1]
AnswerAccept any correct response that applies the decimal addition rule accurately.

FreeMathWorksheet · Grade 3 Math

Decimal Addition

Basic Practice

Bloom: Understand · 3 marks

Work through each item. Show the step you used.

1.Match part 1 using the rule for decimal addition.
[1]
AnswerAccept any correct response that applies the decimal addition rule accurately.
2.Complete part 2 using the rule for decimal addition.
[1]
AnswerAccept any correct response that applies the decimal addition rule accurately.
3.Identify part 3 using the rule for decimal addition.
[1]
AnswerAccept any correct response that applies the decimal addition rule accurately.

Guided Practice

Bloom: Understand · 4 marks

The first step is given. Finish the reasoning.

1.Complete the method for part 1. Step 1 has been started for you.
[2]
AnswerAccept any correct response that applies the decimal addition rule accurately.
2.Continue the working for part 2. Step 1 has been started for you.
[2]
AnswerAccept any correct response that applies the decimal addition rule accurately.

Independent Practice

Bloom: Apply · 6 marks

No scaffolding. Set out your full method.

1.Calculate part 1 on decimal addition without help.
[2]
AnswerAccept any correct response that applies the decimal addition rule accurately.
2.Calculate part 2 on decimal addition without help.
[2]
AnswerAccept any correct response that applies the decimal addition rule accurately.
3.Determine part 3 on decimal addition without help.
[2]
AnswerAccept any correct response that applies the decimal addition rule accurately.

FreeMathWorksheet · Grade 3 Math

Decimal Addition

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

1.Prove the statement in part 1 about decimal addition.
[3]
AnswerAccept any correct response that applies the decimal addition rule accurately.
2.Find and justify the statement in part 2 about decimal addition.
[3]
AnswerAccept any correct response that applies the decimal addition rule accurately.

Real-life Application

Bloom: Apply · 6 marks

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

1.Apply a real math situation that depends on decimal addition.
[3]
AnswerAccept any correct response that applies the decimal addition rule accurately.
2.Apply a real math situation that depends on decimal addition.
[3]
AnswerAccept any correct response that applies the decimal addition rule accurately.

Reflection

Bloom: Create · 0 marks

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

1.Record how confident you feel with decimal addition and what you will practise next.
[—]
AnswerStudent response — not marked.
2.Record how confident you feel with decimal addition and what you will practise next.
[—]
AnswerStudent response — not marked.

FreeMathWorksheet

Answer key · Decimal Addition

Warm-up

1.Accept any correct response that applies the decimal addition rule accurately.[1]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Accept any correct response that applies the decimal addition rule accurately.[1]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

Recall

1.Accept any correct response that applies the decimal addition rule accurately.[1]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Accept any correct response that applies the decimal addition rule accurately.[1]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

Basic Practice

1.Accept any correct response that applies the decimal addition rule accurately.[1]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Accept any correct response that applies the decimal addition rule accurately.[1]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
3.Accept any correct response that applies the decimal addition rule accurately.[1]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

Guided Practice

1.Accept any correct response that applies the decimal addition rule accurately.[2]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Accept any correct response that applies the decimal addition rule accurately.[2]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

Independent Practice

1.Accept any correct response that applies the decimal addition rule accurately.[2]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Accept any correct response that applies the decimal addition rule accurately.[2]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
3.Accept any correct response that applies the decimal addition rule accurately.[2]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

Challenge Questions

1.Accept any correct response that applies the decimal addition rule accurately.[3]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Accept any correct response that applies the decimal addition rule accurately.[3]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

Real-life Application

1.Accept any correct response that applies the decimal addition rule accurately.[3]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Accept any correct response that applies the decimal addition rule accurately.[3]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

Reflection

1.Student response — not marked.[0]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.
2.Student response — not marked.[0]
1. Recall the definition that underpins decimal addition.
2. Apply it to the values or wording given in the question.
3. State the final answer clearly, with units or terminology where relevant.

FreeMathWorksheet

Teacher pack · Decimal Addition

Marking scheme

Band	Marks	Descriptor
Mastered	25–29	Applies decimal addition fluently, including in unfamiliar contexts, with clear justification.
Secure	19–24	Reliable in routine questions; reasoning is mostly complete.
Developing	12–18	Secure in scaffolded items, inconsistent once support is removed.
Emerging	0–11	Needs re-teaching of the core rule before progressing.

Teacher notes

Set the warm-up as a five-minute starter; it diagnoses readiness for decimal addition before you teach.
Guided practice is the pivot point — circulate here rather than during independent practice.
Mark the reasoning questions with the marking scheme bands, not raw totals, so progress is comparable across variants.
Students who band Emerging should repeat the Easy variant of this same subtopic before moving on within Decimals.

Common student mistakes

Confusing decimal addition with a neighbouring idea in decimals.

Teaching tips

Model one worked example of decimal addition under a visualiser before handing the sheet out.
Ask students to predict which question they will find hardest, then check the prediction afterwards.
Pair Developing students with Secure students for the guided practice block only.
Use the answer key as a self-marking station rather than collecting the sheets in.

Extension activities

Challenge worksheet on decimal addition with justification-only questions.
Design your own decimal addition question and write the mark scheme for it.
Link decimal addition to the next subtopic in Decimals and explain the connection.
Ten-minute timed practice to convert accuracy into fluency.