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Algebra Fishing Project Showcase

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Algebra Fishing Project Showcase

Matilda, Grace and Ivy are designing a fishing game for a library makerspace showcase. Use algebra to test their game rules, explain your thinking and plan a clear project display. Show working where you can.

Part A: Work out the game rules

In the game, each fish caught is worth 4 points. Players also start with 3 bonus points.

1.Let f be the number of fish caught. Write an expression for the total score, including the 3 bonus points.

2.Grace catches 7 fish. Use your expression from Question 1 to calculate her total score.

3.Matilda scores 35 points. Using the scoring rule from Part A, how many fish did she catch? Write an equation and solve it.

4.Ivy writes 4(f + 2) for a bonus round. Which expression is equivalent after expanding the brackets?

4f + 2
4f + 8
6f
4 + 2f

Part B: Compare two game designs

The makerspace team is comparing two ways to award points. Design A gives 4 points per fish plus a 3-point start bonus. Design B gives 6 points per fish and no start bonus.

Fish caught (f)

Design A: 4f + 3

Design B: 6f

5.For how many fish do Design A and Design B give the same score? Set up an equation and solve it.

6.Which design gives the higher score when a player catches 6 fish? Use the table or calculate both scores to support your answer.

7.For every whole number of fish caught, Design B gives a higher score than Design A. Is this statement true or false? Explain using the rules.

Part C: Plan the showcase

A strong project showcase explains the maths as well as the game. Use complete sentences and precise mathematical words.

8.In a rule that uses f for the number of fish and adds a fixed start bonus, f is the , and the fixed bonus is the .

9.Write a short explanation for a visitor: how would you use the game rule to find the score for any number of fish? Include what the variable means.

10.Choose one result from this activity that would make an interesting display at the library makerspace. State the result and explain why it is useful or surprising.