Google Classroom
GeoGebraGeoGebra Classroom
GeoGebra

CMP3 Say it with symbols Inv 1

Author:Emmanuel Pedroza
Topic:Algebra
1.

a. How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide?

Check my answer

You can sketch it right here!

b. Write an expression for the number of border tiles needed to surround a pool that is L feet long and W feet wide. Use the math editor.

c. Write a different but equivalent expression for the number of tiles needed in part (b). Use the math editor.

d. Explain why your expressions are equivalent.

--------------------------------------------------------------------------------------

2. A square hot tub has sides of length s feet. A tiler makes a border by placing 1-foot-square tiles along the edges of the tub and triangular tiles at the corners, as shown. The tiler makes the triangular tiles by cutting the square tiles in half along a diagonal.

a. Suppose the hot tub has sides of length 7 feet. How many square tiles does the tiler need for the border?

Check my answer

You can sketch it right here!

b. Write an expression for the number of square tiles N needed to build this border for a square tub with sides of length s feet. Use the math editor.

c. Write a different but equivalent expression for the number of tiles N. Explain why your expressions are equivalent. Use the math editor.

d. Is the relationship between the number of tiles and side length linear or nonlinear?

Select all that apply
  • A
  • B
Check my answer (3)
You can test for linearity by filling out the table below, and finding the rate of change. The first two rows are given.

New Resources

Discover Resources

Discover Topics