Creating and Manipulating Linear and Quadratic Expressions - Stage 3

Number Pyramids

Stage: 3 Challenge Level: Challenge Level:1

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Your Number Is...

Stage: 3 Challenge Level: Challenge Level:1

Think of a number... follow the machine's instructions. I know what your number is! Can you explain how I know?

Crossed Ends

Stage: 3 Challenge Level: Challenge Level:1

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

Perimeter Expressions

Stage: 3 Challenge Level: Challenge Level:1

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

Special Numbers

Stage: 3 Challenge Level: Challenge Level:1

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Quadratic Patternslive

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Surprising numerical patterns can be explained using algebra and diagrams...

More Number Pyramids

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Reversals

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Where should you start, if you want to finish back where you started?

Fibonacci Surprises

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Play around with the Fibonacci sequence and discover some surprising results!

Always a Multiple?

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Think of Two Numbers

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

Creating and Manipulating Linear and Quadratic Expressions Stage 3 - Short Problems

Stage: 3

A collection of short Stage 3 problems on creating algebraic expressions.