1. Integer Practice plus Distributive Property with Binomials
Diamonds are Forever
Integer Practice plus Distributive Property with Binomials

2. Diamond Problems: The Shiny Graphic Organizer for Algebra
Practice Adding Integers
Practice Multiplying Integers
Help you factor quadratic expressions
Correspond with Generic Rectangle

3. Puzzle: Fill in the missing Values
Product of two factors on top
Sum of two factors on bottom
Factor on each side

4. 12 * 4 3 + 7 Classic Example: Factor = 4 Factor = 3 Product = 12
Sum = 7 * 4 3 + 7

5. 20 * 4 5 + 9 Classic Example: Product = 20 Sum = 9 Factor = 4

6. Another Classic Example:
-15
Product = -15
Sum = -2
Factor = 3
Factor = -5 * 3 -5 + -2

7. Try these Find the missing values.16 24 4 -4 8 3
Find the missing values.
Remember: Product of two factors is on top of diamond;
Sum of two factors is on bottom of diamond. 11
-150
-51 10
-15
-17 3 -5
-14

8. Multiply binomials by distributing
-16 24 4 -4 8 3
(x + 4) (x – 4)
x² - 16
(x + 8) (x + 3)
x² +11x + 24
(x + 10) (x – 15)
x² -5x -150
(x + 3) (x – 17)
x² -14x -51 11
-150
-51 10
-15
-17 3 -5
-14

9. x² + bx + ax + ab (x + a) (x + b) Distribute
First term to both terms in second group;
Second term to both terms in second group.
Add like terms.
(x + a) (x + b)
x² + bx + ax + ab ab
a b
a + b

10. Multiply Binomials rectangle Distribute (x + 4) (x – 4)
-16
(x + 4) (x – 4)
x² + 4x – 4x – 16 = x² - 16
(x + 8) (x + 3)
x² + 8x + 3x + 24 = x² +11x + 24
(x + 10) (x – 15)
x² +10x – 15x – 150 = x² -5x -150 x -4 x x +3 x²
+8x
+3x
+24 x x
-15 x²
+4x
-4x
-16

11. In Short: x² - 9x + 20 x² - 2x - 48 x² + 12x + 36 + + * * + + * * + *