Students use fraction reasoning, multiplication, division, and multi-digit computation to solve a real cafeteria challenge: designing a balanced snack menu that others can understand and use. Across two weeks, they compare and rewrite fractions, including pairs with unlike denominators that are not factors or multiples of each other, use benchmark fractions and visual models, and explain total amounts with arrays, area models, equations, and the standard algorithm. The work matters because students create and revise menu plans for a cafeteria staff member, respond to feedback, and present their thinking in public through a menu showcase and interactive snack expo. Through this process, they build content expertise, collaboration, communication, problem solving, and confidence as mathematicians.

Students will compare, generate, and justify equivalent fractions, including tenths and hundredths, and compare fractions with unlike denominators that are not factors or multiples of each other, using fraction strips, number lines, benchmark fractions, visual models, and common denominators to make balanced serving decisions. They will solve snack-menu problems by multiplying whole numbers and fractions by whole numbers, and by adding, subtracting, and dividing multi-digit numbers with arrays, area models, equations, and the standard algorithm when appropriate. Students will communicate their reasoning clearly to classmates and the cafeteria staff member through posters, menu plans, and live explanations that use words, drawings, and mathematical proof. They will also collaborate to revise their menu designs based on peer and partner feedback, reflect daily on strategy and teamwork, and apply their math to create a useful product for a real audience.

Students will create draft menu sketches, fraction-strip and tile models, comparison cards for unlike fractions such as 4/5 and 5/6 or 3/8 and 4/12, array and area-model work samples, and short team pitches as they test ideas for balanced snack portions. Throughout the project, teams will revise their work after gallery-walk feedback from classmates and the cafeteria staff member, building a collection of labeled equations, visual proofs, fraction comparisons with common denominators and benchmarks, and written explanations. By the end, each team will produce a balanced snack menu poster and a revised cafeteria snack plan booklet that show serving sizes, equivalent fractions, comparisons of fractions with unlike denominators, total amounts, and multiplication justifications using words, drawings, and equations. Students will also prepare interactive portion challenges and display materials for a Menu Math Pop-Up or Snack Solve Expo, where guests can try problems and hear each team explain their strategy.

Kick off with a “Balanced Bite Lab” and “Menu Math Mystery Reveal” in which teams examine real snack items and clue cards from the cafeteria staff member to figure out which combinations make a balanced menu. Students use fraction strips, number lines, tiles, arrays, and quick multiplication sketches to compare fractions with unlike denominators, including pairs that are not related as factors or multiples such as 4/5 and 5/6 or 3/8 and 4/12, while also using benchmarks like 1/2 and estimating total servings. Each team creates a fast draft menu and gives a short pitch to the cafeteria staff member explaining one fraction comparison and one multiplication strategy with visuals. Close with the essential question and a class notice that their work will be revised through feedback before the final snack menu presentation and pop-up expo.

Host a Menu Math Pop-Up where teams present their balanced snack menu posters and revised snack plan booklets to classmates, families, and the cafeteria staff member, then invite guests to solve new portion challenges using arrays, area models, benchmark fractions, the standard algorithm, and comparisons of unlike fractions such as 4/5 and 5/6 or 3/8 and 4/12. Set up a Snack Solve Expo with interactive stations where visitors test serving-size problems, check solutions with fraction strips, number lines, and tile models, and listen to each team explain how they used equivalent fractions, common denominators, and multiplication to justify their menu choices. Include a short presentation at each station so students clearly communicate their reasoning, respond to questions, and show how peer and cafeteria feedback helped them revise their final products.