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TN-MATH-GR5-86005 · v1.0

Frequency Tables

Grade 5 · Math · Statistics · College Board (AP/SAT)

Grade

Grade 5

Subject

Math

Topic

Statistics

Subtopic

Frequency Tables

Curriculum

College Board (AP/SAT)

Difficulty

Foundation

Time

20 minutes

Total marks

Student name

Teacher name

Date

Learning objectives

Recognise frequency tables accurately in math contexts.
Explain the underlying rule of frequency tables in the student's own words.
Apply frequency tables 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.State one fact you already know about frequency tables.
[1]
AnswerAccept any correct response that applies the frequency tables rule accurately.
2.State one fact you already know about frequency tables.
[1]
AnswerAccept any correct response that applies the frequency tables rule accurately.

Recall

Bloom: Remember · 2 marks

Complete from memory. No calculator, no notes.

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

FreeMathWorksheet · Grade 5 Math

Frequency Tables

Basic Practice

Bloom: Understand · 3 marks

Work through each item. Show the step you used.

1.Identify part 1 using the rule for frequency tables.
[1]
AnswerAccept any correct response that applies the frequency tables rule accurately.
2.Identify part 2 using the rule for frequency tables.
[1]
AnswerAccept any correct response that applies the frequency tables rule accurately.
3.Identify part 3 using the rule for frequency tables.
[1]
AnswerAccept any correct response that applies the frequency tables rule accurately.

Guided Practice

Bloom: Understand · 4 marks

The first step is given. Finish the reasoning.

1.Continue the working for part 1. Step 1 has been started for you.
[2]
AnswerAccept any correct response that applies the frequency tables rule accurately.
2.Continue the working for part 2. Step 1 has been started for you.
[2]
AnswerAccept any correct response that applies the frequency tables rule accurately.

Independent Practice

Bloom: Apply · 6 marks

No scaffolding. Set out your full method.

1.Solve part 1 on frequency tables without help.
[2]
AnswerAccept any correct response that applies the frequency tables rule accurately.
2.Determine part 2 on frequency tables without help.
[2]
AnswerAccept any correct response that applies the frequency tables rule accurately.
3.Work out fully part 3 on frequency tables without help.
[2]
AnswerAccept any correct response that applies the frequency tables rule accurately.

FreeMathWorksheet · Grade 5 Math

Frequency Tables

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

1.Find and justify the statement in part 1 about frequency tables.
[3]
AnswerAccept any correct response that applies the frequency tables rule accurately.
2.Deduce the statement in part 2 about frequency tables.
[3]
AnswerAccept any correct response that applies the frequency tables rule accurately.

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 frequency tables.
[3]
AnswerAccept any correct response that applies the frequency tables rule accurately.
2.Use the information to decide a real math situation that depends on frequency tables.
[3]
AnswerAccept any correct response that applies the frequency tables rule accurately.

Reflection

Bloom: Create · 0 marks

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

1.Describe how confident you feel with frequency tables and what you will practise next.
[—]
AnswerStudent response — not marked.
2.Describe how confident you feel with frequency tables and what you will practise next.
[—]
AnswerStudent response — not marked.

FreeMathWorksheet

Answer key · Frequency Tables

Warm-up

1.Accept any correct response that applies the frequency tables rule accurately.[1]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[1]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[1]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[1]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[1]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[1]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[1]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[2]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[2]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[2]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[2]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[2]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[3]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[3]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[3]
1. Recall the definition that underpins frequency tables.
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 frequency tables rule accurately.[3]
1. Recall the definition that underpins frequency tables.
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 frequency tables.
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 frequency tables.
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 · Frequency Tables

Marking scheme

Band	Marks	Descriptor
Mastered	25–29	Applies frequency tables 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 frequency tables 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 Statistics.

Common student mistakes

Confusing frequency tables with a neighbouring idea in statistics.

Teaching tips

Model one worked example of frequency tables 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 frequency tables with justification-only questions.
Design your own frequency tables question and write the mark scheme for it.
Link frequency tables to the next subtopic in Statistics and explain the connection.
Ten-minute timed practice to convert accuracy into fluency.