Creating and Manipulating Linear and Quadratic Expressions: Age 11-14
Number Pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Your Number Is...
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Crossed Ends
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Perimeter Expressions
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
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 Patterns
Surprising numerical patterns can be explained using algebra and diagrams...
More Number Pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Reversals
Where should you start, if you want to finish back where you started?
Fibonacci Surprises
Play around with the Fibonacci sequence and discover some surprising results!
Always a Multiple?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Think of Two Numbers
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 - Short Problems
A collection of short problems on creating algebraic expressions.
The Number Jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.