standard_description: Know and apply the Binomial Theorem for the expansion of (x + y)^(n )in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. (The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument.)
problem_activity: Stage 1: Make 5
Required Preparation
Materials to Gather
5-frames
Counters
Number cards 0–10
Materials to Copy
Blackline Masters
Find the Pair Stage 1 Recording Sheet

Narrative
Before playing, students remove the cards that show numbers greater than 5 and set them aside.
Partner A asks their partner for a number that would make 5 when added to the number on one of their cards. If Partner B has the card, they give it to Partner A and Partner A gets a match. If not, Partner A chooses a new card. When students make the target number 5, they put down those two cards and write an expression to represent the combination. Students continue playing until one player runs out of cards. The player with the most pairs wins.


aligns: no