MS Algebra A-CED-1 – Ch. 1.4 Write Equations & Inequalities Mr. Deyo Write verbal phrases as algebraic equations or inequalities using appropriate terms, factors, and coefficients

Title: 1.4 Write Algebraic Equations or Inequalities Date: Learning Target By the end of the period, I can interpret verbal phrases and write algebraic equations or inequalities 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 1.4 Pg. 29-30 3) Section ______ TxtBk. Prob. #3-11 Odd,38-41 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 Expression Variables Coefficients Constants 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 A museum charges $50 for an annual membership and then a reduced price of $2 per ticket. Write an expression to represent the situation. Then find the total cost to join the museum and buy 9 tickets.

Daily Warm-Up Exercises For use with pages xxx–xxx A museum charges $50 for an annual membership and then a reduced price of $2 per ticket. Write an expression to represent the situation. Then find the total cost to join the museum and buy 9 tickets. 50 + 2T, where T is the number of tickets ANSWER $68 ANSWER

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

“The quotient of a number G and 12 is at least 30.” Problem(s) A Write an equation or an inequality for the sentence “The quotient of a number G and 12 is at least 30.” Write an equation or an inequality for the sentence A number y is no less than 5 and no more than 13.

30 12 G ≥ y 5 13 ≤ “The quotient of a number G and 12 is at least 30.” Problem(s) A Write an equation or an inequality for the sentence “The quotient of a number G and 12 is at least 30.” Write an equation or an inequality for the sentence A number y is no less than 5 and no more than 13. ANSWER ANSWER 30 12 G ≥ y 5 13 ≤

Equation or Inequality Problem(s) B Write equations and inequalities Equation or Inequality Verbal Sentence a. The difference of twice a number k and 8 is 12. b. The product of 6 and a number n is at least 24.

Equation or Inequality Problem(s) B Write equations and inequalities Equation or Inequality Verbal Sentence a. The difference of twice a number k and 8 is 12. 12 8 2k = – b. The product of 6 and a number n is at least 24. 24 6n ≥

Part 1) What is the regular price of 4 tickets? Problem A Solve a multi-step problem MOUNTAIN BIKING The last time you and 3 friends went to a mountain bike park, you had a coupon for $10 off and paid $17 for 4 tickets. Part 1) What is the regular price of 4 tickets? Part 2) If you pay the regular price this time and share it equally, how much does each person pay?

Part 1) What is the regular price of 4 tickets? Problem A Solve a multi-step problem MOUNTAIN BIKING The last time you and 3 friends went to a mountain bike park, you had a coupon for $10 off and paid $17 for 4 tickets. Part 1) What is the regular price of 4 tickets? SOLUTION STEP 1 Write a verbal model. Let p be the regular price of 4 tickets. Write an equation. STEP 2 Use mental math to solve the equation p – 10 = 17. Think: 10 less than what number is 17. 27 – 10 = 17, the solution is 27. ANSWER The regular price for 4 tickets is $27.

$27 4 people $6.75 per person Each person pays $6.75. Problem A Solve a multi-step problem Part 2) If you pay the regular price this time and share it equally, how much does each person pay? SOLUTION Find the cost per person: $6.75 per person $27 4 people = Each person pays $6.75. ANSWER

What is each person’s share if you pay full price? Problem B Suppose that the price of 4 tickets with a half-off coupon for each is $15. What is each person’s share if you pay full price? Part 1) Regular Price of 4 Tickets? Part 2) Regular Price of 1 Ticket?

½( ) = $15 4 4 $7.50 per person = $30 = ($15) 2 = $30 Problem B Suppose that the price of 4 tickets with a half-off coupon for each is $15. What is each person’s share if you pay full price? Part 1) Regular Price of 4 Tickets? Part 2) Regular Price of 1 Ticket? Regular Price of 4 Tickets = $30 ½( ) Regular Price of 4 Tickets = $15 4 4 Regular Price of 4 Tickets = ($15) 2 = $30 ANSWER $7.50 per person

Vocabulary Expression Variables Coefficients Constants Terms

Title: 1.4 Write Algebraic Equations or Inequalities Date: Learning Target By the end of the period, I can interpret verbal phrases and write algebraic equations or inequalities 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 1.4 Pg. 29-30 3) Section ______ TxtBk. Prob. #3-11 Odd,38-41 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Ticket OUT. Write an equation or inequality for the sentence “The product of 8 and a number n is at most 40.” Write an equation or inequality for the sentence “The sum of 3 times a number y and 10 is 22.” Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you.

Ticket OUT. Write an equation or inequality for the sentence “The product of 8 and a number n is at most 40.” Write an equation or inequality for the sentence “The sum of 3 times a number y and 10 is 22.” ANSWER ANSWER Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you. 40 8n ≤ 3y + 10 = 22