Liam’s house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

How many moves does it take to swap over some red and blue frogs? Do you have a method?

How many diagonals does a regular icosagon (20 sides) have?

In this K-2 lesson, students will construct patterns using visual arts designs and math manipulatives.

Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

Simple additions can lead to intriguing results…

In this 6-8 lesson, students will create mandalas using mathematical concepts and skills.

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ….. + 149 + 151 + 153?

Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?

In this lesson, students use calculation to predict the number of cells that result from a series of cell divisions.

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?