Teaching Algebra with Manipulatives

NAME ______________________________________________ DATE ____________ PERIOD ____
Algebra Activity
(Use with Algebra 2, Lesson 5-5)
Radical Roots of Polynomials
1. Using one-inch ceramic tiles, make a square with 4, 9, 16, and 25 tiles.
Complete the chart below based on your models.
Number of tiles used in model 4 9 16 25
Algebra 2—Chapter 5
Draw the model.
Area of the square
Length of a side
2. Make a square using four 2-inch tiles and Make a square using four 2-inch tiles and
five 1-inch tiles. Draw a picture of the nine 1-inch tiles. Draw a picture of the
model.
model.
3. Complete the following chart for the given measures of large and small
tiles squares.
Large Square Small Square Model Model Prime Factors
Sides Sides Side Area of Area
x by x 1 by 1 x 1 (x 1) 2 (x 1)(x 1)
x by x 2 by 2
2x by 2x
3xy by 3xy
x by x
xy by xy
b 2 by b 2 3 by 3
Find each square root.
4. 100 ___________________________ _
6. 0.04 ____________________________
5. 81 __________________________________
7.
9
_________________________________
121
8. 4x 2 _____________________________ 9. 24x 4 ________________________________
10. 224x y 4 5 _________________________ 11. 729x y 6 7 ____________________________ _
© Glencoe/McGraw-Hill 237 Teaching Algebra with Manipulatives