Tables, Graphs and Models: a skill companion
A small set of reusable sheets that grow one inquiry skill: organising data in a table, showing it as a simple column graph or a visual or physical model, and using the representation to see a relationship and name a pattern. Print the scaffolds once and slot them into the science lessons you are already teaching.
What a skill companion is
Inquiry skills are not a topic of their own. They grow inside the science units a class teaches all year, such as Food Chains and Habitats, The Water Cycle, Forces, Friction and Magnets, and Properties of Materials. So this pack is not a full term of lessons. It is three reusable scaffolds, a map of where they fit, and a short stand-alone lesson for teaching the skill on its own first.
Start here: five minutes
- Read the pairing map on the next page: it shows data to organise in each Year 4 topic.
- Print the table-to-graph sheet, one per child, whenever the class has counts or measurements.
- Print the model sheet when the class builds a model with cubes, strips or drawings.
- Cut out the graph cards once. They are reused all year, and the blank cards fit any topic.
- Run the one-page mini-lesson first if you want to teach the skill before folding it into a topic.
No science background needed
This pack is written for the busy generalist teacher. Each scaffold explains itself in plain words, and the answer sheet gives the completed table and graph, a model check, the card key and a quick three-level guide. A model need not be fancy: a tower of cubes for each count, or a row of swatches in order, shows the same pattern as a graph.
Slot the skill into your science lessons
Every science unit produces data or information worth organising. This map gives one example for each Year 4 topic, the representation that fits it, and which scaffold to reach for. You do not run these as extra lessons; you fold them into the science you teach.
| When you teach | Data or information | A representation that fits | Scaffold to slot in |
|---|---|---|---|
| Food Chains and Habitats (AC9S4U01) | Slaters counted in different places; who eats whom | A table and a column graph of the counts; a food-chain model with arrows | Table to graph, then the model sheet |
| The Water Cycle (AC9S4U02) | Rain in the gauge each day for a week | A table and a column graph; a water-cycle diagram with arrows | Table to graph |
| Forces, Friction and Magnets (AC9S4U03) | Paperclips held by each magnet | A column graph, and towers of cubes as a physical model | Model sheet, then the magnet cards |
| Properties of Materials (AC9S4U04) | Water soaked up by each material | A table, a column graph, and swatches glued in order as a visual model | Table to graph, then the soak cards |
| Any science topic | Any set of counts or measurements | Children choose a table, a graph or a model, and say why | Table to graph first, then a blank card |
The three moves, and the picture that backs each one
When you want a worked example on the board, open the interactive unit and use the picture that matches the move children are working on.
- Organise data in a table, then show it as a column graph: “Put the soaking amounts in a table, then draw the graph”.
- Build a visual model that shows the same pattern: “Build a visual model of the soaking, one material at a time”.
- Use a representation to spot a value that breaks the pattern, and to choose one that shows it: “Find the soaking amount that does not fit” and “Which choices organise the soaking data and show the pattern?”.
How the scaffolds build the skill
The table-to-graph sheet turns a tally into a table and the table into a column graph on a ready scale, then asks for the pattern in words. The model sheet builds the same data as a model, and a food chain as a model of a relationship, with arrows. The graph cards sharpen the reading: what a graph really shows, and what it does not.
From a tally to a table to a graph
A class counted the slaters it found in four places in the school garden. Slaters are small decomposers that eat dead leaves.
A. Count each tally and fill in the table.
| Where we looked | Tally | Number of slaters |
|---|---|---|
| under the log | ||
| in the leaf litter | ||
| in the garden bed | ||
| on the path |
B. Draw a bar for each place.
C. What pattern does the graph show? Why might the slaters be there?
Teacher note: the graph keeps each place beside its count, so the pattern shows at a glance. Ask children what is the same about the places with the most slaters.
Show it with a model
A model shows data or an idea in a form you can see or touch. It must keep each part beside its own amount, so the pattern still shows.
A. A model of our data
| Our data is about | |
| We will build our model with | |
| One piece stands for |
Ideas: towers of cubes, paper strips cut to length, a row of swatches, or drawings in a row.
B. A model of a relationship: a food chain
Draw each living thing in a box, then draw arrows from the food to the eater.
Does the graph show this?
Cut out the cards. Lay down one graph card, then sort its statement cards into two piles: the graph shows this, and the graph does not show this.
Teacher note: the answer sheet lists which pile each statement belongs in, and why.
Organise it, show it, read it
Use this stand-alone lesson to teach the skill on its own, before you fold it into a science topic. One set of slater counts becomes a table, a column graph and a tower model, so children see that the three representations carry the same pattern, then they sort statements about two more graphs.
We are learning to
- organise data in a table,
- show data as a simple column graph and as a physical model,
- use a representation to name a pattern.
Success criteria
- I can turn a tally into a table, and the table into a column graph on a scale.
- I can say what pattern a graph or a model shows, and what it does not show.
You need
- the table-to-graph sheet (scaffold 1), one per child, and rulers,
- interlocking cubes, about 30 per group, and the model sheet (scaffold 2),
- the graph cards from scaffold 3, one set per table, cut out ahead or by fast finishers,
- the free interactive unit on your board, if you have one (optional).
Lesson flow (about 30 minutes)
| 5 min | Too many numbers Read the slater tallies aloud in a jumble. Ask what would make them easier to compare. Ask: “Where did we find the most slaters? How could we see that at a glance?” |
| 10 min | Table, then graph Children do Parts A and B of the table-to-graph sheet. Show the board (see the box). Ask: “The scale goes up in twos. Where does a bar for 9 end?” |
| 10 min | Build the towers Groups build a tower of cubes for each place, one cube for each slater, and stand the towers in a row; then they fill Part A of the model sheet and Part C of the graph sheet. Ask: “How are the towers like the bars? What does one cube stand for?” |
| 5 min | What does it show? Tables sort the graph cards into the two piles. Ask: “Does the graph show this, or does it say nothing about it?” |
Running it shorter? Stop after Table, then graph, and build the towers and the food-chain model in your next science lesson.
Watch for these ideas
- Drawing a bar that ends on the label instead of at its value, or using an uneven scale.
- Thinking a model must look like the real thing, rather than keep each part beside its amount.
- Reading something into a graph it does not show, such as the colour of a material.
Make it easier, make it bigger
- Easier: count the tallies together, and draw the first bar as a class.
- Bigger: draw a food-chain model with four living things, or choose the best representation for a new data set and say why.
Answers and look-fors
The next sheet has the completed table and graph, a model check, the graph-card key and a quick three-level guide.
Answers and look-fors
Table to graph: the slaters
| Where we looked | Number of slaters |
|---|---|
| under the log | 14 |
| in the leaf litter | 9 |
| in the garden bed | 6 |
| on the path | 1 |
Part C: most slaters were under the log and fewest on the path; the places with the most are damp and shady, with dead leaves to eat. Odd counts end halfway between two lines on the scale of 2.
Make a model
A tower model has one cube for each slater: 14, 9, 6, 1 cubes, standing in a row like the bars. It is like the graph because each tower keeps its place beside its own amount; it is different because you count cubes instead of reading a scale. The food chain is gum leaves → caterpillar → magpie: each arrow points from the food to the living thing that eats it.
Graph cards: does the graph show this?
Soak (Properties of Materials): Water soaked up (mL), plastic 2, paper 14, cloth 22, sponge 40
| Statement card | Shows it? | Why |
|---|---|---|
| The sponge soaked up the most water, and the plastic the least. | Yes | It compares the tallest and shortest bars. |
| The paper soaked up 22 mL. | No | A misread: 22 mL is the cloth; the paper bar reaches 14. |
| The cloth is blue. | No | The graph says nothing about colour. |
| The amount soaked up climbs from plastic to paper to cloth to sponge. | Yes | It names the order of the whole set of bars. |
| The cloth soaked up more water than the paper. | Yes | The cloth bar is taller than the paper bar. |
Magnets (Forces, Friction and Magnets): Paperclips held by each magnet, A 12, B 6, C 9, D 18
| Statement card | Shows it? | Why |
|---|---|---|
| All four magnets held the same number. | No | The bars are different heights. |
| Magnet D held the most paperclips. | Yes | D has the tallest bar. |
| Magnet B held half as many as magnet A. | Yes | B is 6 and A is 12. |
| Magnet C is the newest magnet. | No | The graph does not tell us how old the magnets are. |
| From weakest to strongest the order is B, C, A, D. | Yes | It orders all four bars: 6, 9, 12, 18. |
A quick three-level guide
| Move | Working towards | At standard | Beyond |
|---|---|---|---|
| Organise data in a table | copies numbers in any order, with no headings | puts each item beside its count, with headings and units | chooses the order of rows to make the pattern clearer |
| Construct a graph or a model | draws bars of uneven width, or off the scale | draws a column graph on an even scale, with a title and labels; builds a model to match | explains what one cube or one unit of the scale stands for |
| Use it to see a pattern | reads one bar, not the pattern | names the pattern, such as most under the log and fewest on the path | gives a reason for the pattern from what they know about the topic |
A child at standard organises data in a table, shows it as a column graph or a model, and names the pattern it shows. Keep the sheets coming back whenever the class has data.