Graphs, Tables and Timetables

Status: Mandatory

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Concepts

This study delivers 1 primary concept and 0 secondary concepts.

Primary concept: Reading and Interpreting Graphs, Tables and Timetables (MA-Y5-C017)

Type: Skill | Teaching weight: 2/6

At Y5, statistics focuses on reading and interpreting data presented in a variety of formats, with particular emphasis on line graphs (which show continuous data and allow interpolation and extrapolation) and tables including timetables. Pupils solve comparison problems (which category has the most/least?), sum problems (what is the total?) and difference problems (how much more than?) using data from these representations. Reading a line graph requires understanding the axes, the scale and what points on the line between plotted values represent. Reading timetables requires combining reading rows and columns to calculate durations and plan journeys — a practical, cross-curricular statistics application.

Teaching guidance: Provide line graphs with varied scales (including non-unit scales such as intervals of 5, 10, 25) and ask pupils to read off values, interpolate between plotted points, and describe the trend shown. Teach timetable reading explicitly: identify a departure time, read across to a destination column, calculate journey time by subtraction. Give pupils comparison, sum and difference questions that require them to extract specific values from the representation and then calculate. Connect to science: line graphs are used to display experimental data throughout the primary science curriculum, making this a high-transfer skill. Use real timetables (train, bus) for authentic timetable reading practice. Key vocabulary: line graph, table, timetable, axes, scale, data, interpret, comparison, sum, difference, continuous data, trend, interpolate, row, column, duration Common misconceptions: Pupils often misread scales that do not go up in ones, particularly scales in multiples of 2, 5 or 25; explicit work on scale reading is necessary before graph interpretation problems. On line graphs, pupils sometimes read only the plotted points rather than interpolating values between them. In timetable reading, pupils frequently confuse rows and columns or subtract the wrong times to find duration. Difference problems ('how much more than?') are sometimes solved by addition rather than subtraction — modelling on a number line helps clarify the operation required.

Differentiation

Model response (Entry): 15°C. [Reads directly from the plotted point at 2 pm]

Model response (Developing): 17.5°C (halfway between 15 and 20). Journey time: 47 minutes (15 min to 09:30, 30 min to 10:00, 2 min to 10:02).

Model response (Expected): The plant grew the most between weeks 2 and 3 — the line is steepest there (grew 4 cm). A line graph is a good choice because the data is continuous over time and we can interpolate between measurements.

Representation stages (CPA)

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Thinking lens: Evidence and Argument (primary)

Key question: What is the evidence, how reliable is it, and what conclusions can it support? Why this lens fits: Using timetables and data tables to answer comparison problems requires pupils to extract the relevant evidence, apply it carefully, and draw only the conclusions the data warrants. Question stems for KS2:

What evidence supports this claim?

Is this a fact or an opinion? How can you tell?

Is this strong evidence or weak evidence? Why?

Can you structure your argument: claim, evidence, reasoning?

Secondary lens: Patterns — Interpreting diverse data representations — line graphs, tables, timetables — requires noticing patterns like trends over time, peak values or repeated intervals that allow pupils to answer questions efficiently.

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Session structure: Practical Application + Secondary Data Analysis

This study uses 2 vehicle templates:

Practical Application (main structure)

A hands-on sequence where pupils apply knowledge and skills to solve a practical problem or create a functional outcome. Begins with a real-world context, builds skills through rehearsal, guides design or planning, supports making or problem-solving, and concludes with evaluation against success criteria.

context → skill_rehearsal → design → make_or_solve → evaluate Assessment: Practical outcome (solution, product, program) evaluated against defined success criteria, with written or verbal explanation of the process and decisions made. Teacher note: Use the PRACTICAL APPLICATION template: set a real-world context or problem that requires pupils to apply knowledge and skills. Rehearse the key skills needed through guided practice. Support pupils in designing their approach, carrying out the practical task, and evaluating their outcome. Encourage them to explain what worked well and what they would improve. KS2 question stems:

What skills will you need to solve this problem?

What is your plan, and why did you choose this approach?

How well did your solution work?

What would you change if you did it again?

Secondary Data Analysis

An enquiry using existing published data sets rather than first-hand collection. Pupils frame an enquiry question, select and evaluate appropriate data sources, process and present data using statistical or graphical methods, analyse patterns and anomalies, evaluate reliability, and present findings.

question_framing → data_selection → processing → analysis → evaluation → presentation Assessment: Data analysis report including processed data presented in appropriate formats, statistical analysis where relevant, interpretation of findings, and evaluation of data reliability and limitations.

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Mathematical reasoning skills (KS2)

These disciplinary skills should be woven through teaching, not taught in isolation:

Algebraic reasoning and generalisation — Express generalisations symbolically using algebraic notation, reason about the properties of unknown quantities, and use algebra to prove or disprove conjectures about numbers and geometric relationships.

Deductive reasoning and logical argument — Construct and present logical chains of deductive reasoning, recognising what has been assumed and what must be proved, moving towards formal mathematical argument and beginning to distinguish between a demonstration and a proof.

Algebraic and procedural fluency — Manipulate algebraic expressions, formulae and equations accurately and efficiently, applying learned procedures to a wide range of numerical and symbolic contexts, including working with negative numbers, surds, indices and standard form.

Generalisation from patterns and relationships — Identify, describe and represent patterns in numbers, sequences and shapes, formulating a general rule in words and testing it against further examples, progressing towards expressing generality using symbolic or algebraic notation.

Solving problems in familiar contexts — Apply known mathematical procedures to solve simple one- and two-step problems set in practical, concrete contexts, selecting the appropriate operation and checking that the answer makes sense.

Checking and verifying results — Use inverse operations, estimation or an alternative method to check whether a result is reasonable, and adjust working when an answer does not make sense in context.

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Vocabulary word mat

Prior knowledge (retrieval plan)

Pupils should already know the following from earlier units:

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Scaffolding and inclusion (Y5)

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Knowledge organiser

Core facts (expected standard):

Reading and Interpreting Graphs, Tables and Timetables: Interpreting line graphs to describe trends, solve comparison and difference problems, and critically evaluate whether the graph is appropriate for the data.

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Graph context

Node type: MathsTopicSuggestion | Study ID: MTS-Y5-008 Concept IDs:

MA-Y5-C017: Reading and Interpreting Graphs, Tables and Timetables (primary)

Cypher query:

``cypher

MATCH (ts:MathsTopicSuggestion {suggestion_id: 'MTS-Y5-008'})

-[:DELIVERS_VIA]->(c:Concept)

-[:HAS_DIFFICULTY_LEVEL]->(dl)

RETURN c.name, dl.label, dl.description

``

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Generated from the UK Curriculum Knowledge Graph — zero LLM generation.