1. More Bags & Blocks!
Purpose: Students will use models and equations to solve algebra problems.
Warm-up: Solve using a flowchart:
4r2 - 15 7
Challenge: A box of 64 blue & red whistles has 16 more blue whistles than red whistles. Write the equation and solve.
= 7

2. Flowcharts
r • r
• 4
- 15
÷ 7 r 7 51
√r2
÷ 4
+ 15
• 7
r = 4

3. Challenge:
A box of 64 blue & red whistles has 16 more blue whistles than red whistles. Write the equation and solve. How many whistles are blue?
red whistles = r
r + r + 16 = 64
blue whistles = r + 16
2r + 16 = 64
2r = 48
There are 40 blue whistles!
r = 24

4. Test Prep:
Extreme View Helicopter Tours flew 34 times on Friday. They flew the same number of times on Saturday as they did on Sunday. The total number of times they flew for the three days was How many times did they fly on Saturday?
a.) 34
b.) 42
c.) 59
d.) 84

5. Test Prep:
Eric buys three notebooks for school. Each notebook is the same price. Marcus uses a coupon that is work $2 off his total purchase. He pays a total of $7 with the coupon. Which equation can be used to find the cost of one notebook, n?
a.) 3n - 2 = 7
b.) 3n + 2 = 7
c.) 3(n - 2) = 7
d.) 3(n + 2) =7

6. The Balance Method
Question # 1 =
2a + 5 = 3a + 2
3 blocks = 1 bag

7. The Balance Method
Question # 2 =
3a + 2 = 2a + 7
5 blocks = 1 bag

8. The Balance Method
Question # 3 =
5a + 1 = 2a + 5
1 1/3 blocks = 1 bag

9. The Balance Method
Question # 4 =
4a + 1 = 2a + 8
3 1/2 blocks = 1 bag

10. The Balance Method
Question # 5 =
3n + 8 = 5n + 2
3 blocks = 1 bag

11. Independent Practice
Consider the following equations. Draw the balance puzzles to match the equations and solve.
1.) 4t + 6 = t
2.) 2h + 3 = h + 10
3.) 4t + 6 = t
3.5 blocks per bag
7 blocks per bag
7 blocks per bag

12. Independent Practice
Steven said, “I’m thinking of a number, If I multiply my number by 6 and add 5, I get the same result as when I multiply it by 3 and add 17.
6s + 5 = 3s + 17
s = 4

13. Independent Practice
An apartment building has a TV antenna on its roof. The top of the antenna is 66 meters high. The building is 10 times as tall as the antenna. How tall is the antenna?
In a class of 25 students, there are 7 more girls than boys. How many boys are in the class?
a + 10a = 66
a = 6 meters
b + (b + 7) = 25
b = 9 boys

14. Share & Summarize
Journal: Explain how you can use a balance puzzle to solve an equation. Your explanation should be clear enough that someone in another class could understand it.
Homework: On Your Own Exercises
Page 405; # 8 & # 9
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