Pizza Fraction Shapes

Overview

Students build on informal experiences of sharing food and folding paper to recognise halves and quarters as equal parts of a whole shape. They investigate examples and non-examples before applying their understanding in a “read and make” pizza activity, where written fraction instructions guide their construction.

Learning intentions

Students will:

• recognise a whole shape and divide it into two or four equal parts
• describe one-half as one of two equal parts and one-quarter as one of four equal parts
• identify shapes divided into equal and unequal parts
• follow and create simple fraction instructions using a pizza model

Success criteria

• I can fold a shape into two equal halves.
• I can fold a shape into four equal quarters.
• I can explain why a shape is or is not divided into equal parts.
• I can place toppings on the correct fraction of my pizza.

Curriculum links

• Number — recognising one-half as one of two equal parts and connecting halves and quarters through repeated halving.
• Measurement — identifying and representing halves and quarters in relation to shapes, objects and events.
• Shape — recognising and describing shapes using features such as sides and curved or straight edges.
• Number — representing and communicating solutions to a practical problem.

Lesson structure (50 minutes)

1. 0–5 min · Hook and prior knowledge. Teacher displays a round pizza image and asks, “If two people share this fairly, how much does each person receive?” then shows a second pizza shared unfairly; students turn and talk about what makes a share fair and share examples of fractions they have seen in everyday life. Open with the pizza hook and prior-knowledge slides.

2. 5–13 min · Model equal parts. Teacher uses a paper circle and models folding it carefully in half, opening it, and folding again to make four equal parts; label the whole, one-half and one-quarter, emphasising that equal means the parts are the same size. Students copy the folds with a paper circle or square, trace the fold lines and orally rehearse, “A quarter is one of four equal parts.” Use the halves and quarters teaching slides to show clear diagrams.

3. 13–21 min · Examples and non-examples. Teacher presents several shapes: a rectangle split into two equal parts, a circle split into four equal parts, and shapes divided into unequal regions or into four parts of different sizes. Students show thumbs up for “fraction parts” or hands on their head for “not equal parts”, then justify their decision using the sentence frame, “This is/is not ___ because the parts are/are not equal.” Include rotated and differently shaped examples so students focus on equality rather than orientation. Refer to the equal-parts examples and non-examples.

4. 21–27 min · Guided check and vocabulary. Teacher draws a whole, half and quarter on the board and asks: “How many equal parts are in the whole?” and “How many parts make one whole?” Students sketch one half and one quarter on the fraction shapes and vocabulary worksheet, label each drawing and complete two quick prompts identifying equal and unequal parts. Circulate, checking that students do not interpret “quarter” as any four regions.

5. 27–43 min · Read and make a pizza. Teacher explains that each student will make a paper pizza, read instructions and place or draw toppings on the stated part of the pizza. Students fold or use the pre-divided pizza on the fraction pizza read-and-make worksheet, then follow instructions such as “Put mushrooms on one-half of your pizza”, “Put ham on one-quarter”, and “Put capsicum on the other quarter.” They colour or draw toppings, keeping the parts visible, and pair-check each instruction by pointing to the relevant region and saying the fraction. Include a final instruction such as, “Put cheese on the whole pizza.” Display the task steps and model one example using the pizza activity instruction slides. Support students to interpret “the other quarter” as one of the remaining equal parts.

6. 43–50 min · Share, assess and reflect. Teacher displays two or three pizzas, including one possible misconception, and asks students to explain whether each topping instruction was followed. Students complete the exit prompts on the reflection and exit section: draw a shape divided into four equal parts, shade one quarter, and finish the sentence, “Equal parts are important because …” Invite several students to share their reasoning and restate the key idea that fractions describe equal parts of a whole. Close with the review and exit-question slide.

Resources

• the complete fraction shapes and pizza activity slide deck
• the fraction shapes and vocabulary worksheet
• Paper circles or squares for folding
• Pencils, coloured pencils and erasers
• Optional paper topping shapes or topping drawing symbols
• Board or interactive display
• Prepared example and non-example shapes
• Scissors, if students are cutting out pizza components

Assessment

• Observe folding and question students: “How do you know these parts are equal?” Record students who need support distinguishing equal from unequal parts.
• Check worksheet sketches, labels and partner explanations during the pizza activity; listen for accurate use of whole, half, quarter and equal parts.
• Use the exit task to identify whether students can independently divide a shape into four equal parts and represent one quarter.

Differentiation

• Support: provide pre-folded or lightly marked shapes, larger pizza regions, visual fraction labels and the sentence frames “One-half is ___ equal parts” and “One-quarter is ___ equal parts.” Seat students with a supportive partner and model each instruction orally and visually.
• EAL/D: use gesture, real paper models and repeated language; pair the words whole, half, quarter and equal with simple diagrams rather than relying on written instructions alone.
• Additional support: reduce the pizza task to two instructions, such as one-half and one-quarter, and allow students to place physical topping pieces instead of drawing.
• Extension: ask students to write a new instruction for a partner, using one-half, one-quarter or the whole pizza, then check whether the partner followed it accurately.