A.6.3.2 Expanding Squares
- Author:
- Katie Akesson
Expressions like the ones from the opener (x², 2x²+1) are called quadratic expressions - they are areas of a figure given a particular side length.
If the pattern continues, explain the pattern of squares for Step 5 and Step 18.
How many small squares are there in step 5 and step 18?
Write an equation to represent the relationship between the step number and the number of squares . Explain how each part of your equation relates to the pattern.
Sketch the first 3 steps of a pattern that can be represented by the equation y = n² - 1.
In each pattern we’ve seen, what is the input and the output?
Is the relationship between the step number and the number of squares a function? How do you know?
How can the relationship be expressed using function notation?