Before students can combine or separate collections, it is important that students ‘trust the count’ and have a good understanding of the relationship between numbers. Using Cuisenaire rods requires students to trust the count. Exploring this resource can help students to represent numbers in a variety of ways and prove that their solution is correct.

##### Purpose
• Use materials to represent different numbers
• Partition numbers to show different facts, e.g. 2 and 3 makes 5
• Explain how different numbers can be partitioned
• Combine collections and identify the total
• Compare the size of collections and identify the difference
• Use symbols to represent known facts

##### NSW Syllabus Mathematics K-10 – Stage 1: Addition and Subtraction 1
• Represent and solve simple addition and subtraction problems using a range of strategies, including counting on, partitioning and rearranging parts (ACMNA015)

##### At the end of this lesson students should be able to answer the following questions
• What do the different rods represent? How can you prove this?
• How many different ways can you show the number 5?
• How can you prove that you are correct?
• Can you use symbols to record these different representations?
• Can you combine collections and find the total?
• Can you compare collections and find the difference?
• How can you use symbols to represent what you have discovered?