1. Number Cube Challenge
Juanita and Clarissa have 4 number cubes and are having fun making up number games one afternoon.
Clarissa has an idea for a new game: “Let’s each pick a number you can roll with 2 number cubes. Then we'll each roll 20 times to try to get that number. The person who gets her number the most times wins.”
“OK,” says Juanita. “I pick the number 12.”
“And I choose 7,” says Clarissa.
Who is more likely to win the game? Why?

2. Number Cube Challenge
Clarissa is more likely to win because there are more ways to get 7 on the number cubes.
1+6 = 7
2+5 = 7
3+4 = 7
There is only one combination one the number cubes that will make

3. Area of Triangles and Trapezoids
Lesson 11-5

4. 5 in
4 in
What is the area of the parallelogram?
Area = bxh
A = 20 in²

5. A = 20 in²
What happened to the parallelogram when we cut it in half?
We now have two triangles.
What would the area of one triangle be?????????
What could we use as a formula to find the area of a triangle?

6. Triangles h b
The area of a triangle is half of the area of a parallelogram.
A = ½ bh

7. Find the Area of the Triangle
A = ½ bh
A = ½ (6.5m) x (10m)
A = ½ (65m)
A = 32.5 m²
10m
6.5m

8. Find the Area of the Triangle
A = ½ bh
A = ½ (14ft) x (11ft)
A = ½ (154ft)
A = 77 ft²
14ft
11ft

9. Find the Area of the Triangle
A = ½ bh
A = ½ (8mm) x (9.6mm)
A = ½ (76.8mm)
A = 38.4 mm²
8mm
9.6mm

10. Trapezoids b 1 h b 2
A trapezoid has two bases, b and b . The height (h) of a trapezoid is the distance between the bases.
A = ½ h( b + b ) 1 2 1 2

11. Find the Area of the Trapezoid
A = ½ h( b + b )
A = ½ (7in)(5in +12in)
A = ½ (7in)(17in)
A = ½ (119in)
A = 59.5 in² 1 2
5 in

12. Find the Area of the Trapezoid
A = ½ h( b + b )
A = ½ (8ft)(7ft +15.6ft)
A = ½ (8ft)(22.6ft)
A = ½ (180.8ft)
A = 90.4 ft² 1 2
15.6 ft

13. Triangles h b
The area of a triangle is half of the area of a parallelogram.
A = ½ bh

14. Trapezoids b 1 h b 2
A trapezoid has two bases, b and b . The height (h) of a trapezoid is the distance between the bases.
A = ½ h( b + b ) 1 2 1 2

15. Don’t Forget
Homework: Lesson 11-5 # 2-14 evens