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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 3.2 Pg. 135-137 3) 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

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

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.

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

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

Notes:

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

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

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

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

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

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

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).

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

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?

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

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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 3.2 Pg. 135-137 3) 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

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.

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.