1. Apply the Properties of Equality to Multiple Step Algebraic Problems
MS Algebra A-REI-1 – Ch. 3.2 Properties of Equality & Multiple Step Problems
Mr. Deyo
Apply the Properties of Equality to Multiple Step Algebraic Problems

2. Title: 3.2 Properties of Equality & Multi-Step Problems
Date:
Learning Target
By the end of the period, I will apply the properties of equality to solve multi-step algebraic problems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 3.2 Pg ) Section ______
TxtBk. Prob. #9-17 Odd,39-43 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Daily Warm-Up Exercises
For use with pages xxx–xxx
There are three times as many goats as sheep in a petting zoo. Find the number of sheep if the total number of goats and sheep is 28.

6. Daily Warm-Up Exercises
For use with pages xxx–xxx
There are three times as many goats as sheep in a petting zoo. Find the number of sheep if the total number of goats and sheep is 28.
ANSWER
7 sheep

7. Vocabulary Distributive Property
Addition Property of Equality (P.O.E.)
Subtraction P.O.E.
Multiplication P.O.E.
Division P.O.E.

8. Notes:

9. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

10. Problem A x
What is the value of x if + 5 =
11? 2 5 2 x + 11 =

11. Problem A
SOLUTION x
What is the value of x if
11? + 5 = 2 5 2 x + 11 =
Write original equation. 5 2 x + – 11 =
Subtract 5 from each side. 2 x 6 =
Simplify. x 2 • = 2 • 6
Multiply each side by 2. 2 x 12 =
Simplify.

12. Problem(s) B
Solve the equations. y 16 = 9d 5d – – 1 = – 7 3

13. 18 4 y 16 = 9d 5d – – 1 = – 7 3 Solve the equations. Problem(s) B
ANSWER
ANSWER 18 4

14. Storm Check (Think, Write, Discuss, Report)
What are some key verbal phrases that are synonyms for algebraic symbols?
= < ≤
≥ >

15. Storm Check (Think, Write, Discuss, Report)
What are some key verbal phrases that are synonyms for algebraic symbols?
= < ≤
≥ >
is equal to
the same as
is less than
fewer than
is less than or equal to; at most;
no more than
is greater than or equal to; at least;
no less than
is greater than
more than

16. Problem A
Solve a multi-step problem
SCUBA DIVING
As a scuba diver descends into deeper water, the pressure of the water on the diver’s body steadily increases. The total pressure on the diver is the sum of the pressure from the atmosphere and the pressure from the water. Use the information in the graphic to find the depth at which a diver experiences a pressure of 8517 pounds per square foot (lb/ft2).

17. d 100 d = P = 2117 + 64 • P 64d 2117 = + Problem A SOLUTION
Solve a multi-step problem
SOLUTION
STEP 1 Write a verbal model. Then write an equation. = + • P =
2117 + 64 • d
STEP 2 Find the depth at which the pressure is 8517 pounds per square foot. P
64d
2117 = +
Write equation.
8517
64d
2117 = +
Substitute 8517 for P.
-2117
-2117
Subtract 2117 from each side. 64
6400
64d =
Simplify.
Divide each side by 64.
ANSWER
100 d =
Simplify.
A diver experiences a pressure of 8517 pounds per square foot at a depth of 100 feet. 17

18. Problem B
JOBS
Kim has a job where she makes $8 per hour plus tips. Yesterday, Kim made $53, including $13 from tips. How many hours did she work?

19. Problem B
JOBS
Kim has a job where she makes $8 per hour plus tips. Yesterday, Kim made $53, including $13 from tips. How many hours did she work?
ANSWER
5 hours

20. Vocabulary Distributive Property
Addition Property of Equality (P.O.E.)
Subtraction P.O.E.
Multiplication P.O.E.
Division P.O.E.

21. Title: 3.2 Properties of Equality & Multi-Step Problems
Date:
Learning Target
By the end of the period, I will apply the properties of equality to solve multi-step algebraic problems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

22. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 3.2 Pg ) Section ______
TxtBk. Prob. #9-17 Odd,39-43 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

23. Ticket OUT.
A skateboarding park charges $7 per session to skate and $4 per session to rent safety equipment. Jared rents safety equipment every time he skates. The total cost C for Jared to attend N sessions is given by the equation C = 4N + 7N. Last year Jared spent a total of $99 at the park. How many sessions did Jared attend last year?
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.

24. Ticket OUT.
A skateboarding park charges $7 per session to skate and $4 per session to rent safety equipment. Jared rents safety equipment every time he skates. The total cost C for Jared to attend N sessions is given by the equation C = 4N + 7N. Last year Jared spent a total of $99 at the park. How many sessions did Jared attend last year?
ANSWER
9 sessions
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.