MS Algebra A-SSE-1b – Ch. 2.5 Expressions with Distributive Property Mr. Deyo Apply the Distributive Property to algebraic expressions using appropriate terms, factors, and coefficients

Title: 2.5 Apply the Distributive Property to Expressions Date: Learning Target By the end of the period, I will apply the distributive property to algebraic expressions with appropriate terms, factors, and coefficients. 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 2.5 Pg. 84-85 3) Section ______ TxtBk. Prob. #7-21 Odd,49-52 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

Vocabulary Equivalent Expressions Distributive Property Coefficient Constant Like Terms

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

Daily Warm-Up Exercises For use with pages xxx–xxx Kristin paid $2.50 per black-and-white photo B and $6 per color photo C to have some photos restored. What was the total amount A that she paid if she had 8 black-and-white and 12 color photos restored?

Daily Warm-Up Exercises For use with pages xxx–xxx Kristin paid $2.50 per black-and-white photo B and $6 per color photo C to have some photos restored. What was the total amount A that she paid if she had 8 black-and-white and 12 color photos restored? A = 2.5B + 6C A = 2.5(8) + 6(12) A = 20 + 72 A = $92.00 ANSWER

= n + 30 4 (n + 9) – 3(2 + n) 4 (n + 9) – 3(2 + n) = 4n + 36 – 6 – 3n Problem A Simplify an expression Simplify the expression 4 (n + 9) – 3(2 + n) SOLUTION Apply the Distributive Property 4 (n + 9) – 3(2 + n) = 4n + 36 – 6 – 3n Combine like terms. = 4n + 36 – 6 – 3n = n + 30 ANSWER

34 3n + 7x 11 – 4(x – 5) + 3(3 + x) 5(6 + n) – 2(n – 2) Problem(s) B Simplify the expressions. 4(x – 5) + 3(3 + x) 5(6 + n) – 2(n – 2) ANSWER ANSWER 34 3n + 7x 11 –

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 EXERCISING Solve a multi-step problem Your daily workout plan involves a total of 50 minutes of running and swimming. You burn 15 calories per minute when running and 9 calories per minute when swimming. Let R be your running time in minutes. Find the number of calories you burn in your 50 minute workout if you run for 20 minutes. 13

Problem A EXERCISING Solve a multi-step problem Your daily workout plan involves a total of 50 minutes of running and swimming. You burn 15 calories per minute when running and 9 calories per minute when swimming. Let R be your running time in minutes. Find the number of calories you burn in your 50 minute workout if you run for 20 minutes. SOLUTION The workout lasts 50 minutes, and your running time is R minutes. So, your swimming time is (50 – R) minutes. STEP 1 Write a verbal model. Then write an equation. 14

C = 6R + 450 C = 6(20) + 450 = 570 ( ) R 50 – 9 15R + C = 9R – 450 15R Problem A EXERCISING Solve a multi-step problem ( ) R 50 – 9 15R + C = Write equation. 9R – 450 15R + = Distributive property 450 6R + = Combine like terms. STEP 2 Find the value of C when R = 20 C = 6R + 450 Write equation. Substitute 20 for r. Then simplify. C = 6(20) + 450 = 570 You burn 570 calories in your 50 minute workout if you run for 20 minutes. ANSWER 15

Problem B EXERCISING C = 15 • R + 9 • (W – R) Suppose your workout (W) lasts 45 minutes. How many calories do you burn if you run for 20 minutes?

Problem B EXERCISING C = 15 • R + 9 • (W – R) Suppose your workout (W) lasts 45 minutes. How many calories do you burn if you run for 20 minutes? ANSWER 525 calories

Vocabulary Equivalent Expressions Distributive Property Coefficient Constant Like Terms

Title: 2.5 Apply the Distributive Property to Expressions Date: Learning Target By the end of the period, I will apply the distributive property to algebraic expressions with appropriate terms, factors, and coefficients. 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 2.5 Pg. 84-85 3) Section ______ TxtBk. Prob. #7-21 Odd,49-52 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

-2r(r – 7) 4(x – 3) + 5(2 – x) Ticket OUT. Use the distributive property to write an expression equivalent to: -2r(r – 7) Simplify the expression 4(x – 3) + 5(2 – x) Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you.

- x - 2 14r + 2r2 – -2r(r – 7) 4(x – 3) + 5(2 – x) Ticket OUT. Use the distributive property to write an expression equivalent to: -2r(r – 7) Simplify the expression 4(x – 3) + 5(2 – x) ANSWER ANSWER - x - 2 14r + 2r2 – Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you.