The X Factor: Using Algebra to Solve Problems

Stages

1. Paths in the Park

EXPLORE

Suggested Learning Intentions

  • To explore, construct and explain generalisations representing a relationship between two variables

Sample Success Criteria

  • I can use manipulatives to model a pattern or relationship
  • I can construct my own generalisation to represent a pattern or relationship
  • I can explain my generalisation to another person
  • I can write my generalisation using mathematical language
  • I can use my generalisation to solve problems
  • I can justify my solutions using a range of manipulatives
EXPLORE

2. Garden Beds

EXPLORE

Suggested Learning Intentions

  • To explore, construct and explain generalisations representing relationships between two variables
  • To understand and justify that there can be different ways of writing a generalisation

Sample Success Criteria

  • I can model a problem using manipulatives and find a solution
  • I can construct at least two generalisations to represent a pattern or relationship
  • I can explain why these are valid in the context of the problem
  • I can draw a graph of the relationship
  • I can justify my solution using a variety of manipulatives
EXPLORE

3. Snail Trail

EXPLORE

Suggested Learning Intentions

  • To complete a mathematical investigation involving variables
  • To successfully apply a range of problem-solving strategies to a given task

Sample Success Criteria

  • I can use a range of problem-solving strategies to help me solve a problem
  • I can use materials to model a problem
  • I can identify and justify which strategies are most useful
  • I can complete a mathematical investigation involving variables
  • I can justify my solution using a range of manipulatives
EXPLORE

4. Chocolate Boxes

EXPLORE

Suggested Learning Intentions

  • To complete a mathematical investigation involving variables
  • To successfully apply a range of problem-solving strategies to a given task

Sample Success Criteria

  • I can use a range of problem-solving strategies to help me solve a problem
  • I can model a problem using materials
  • I can identify and justify which strategies are most useful
  • I can justify my solution using a range of manipulatives
EXPLORE
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