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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
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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.
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Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 1.4 Pg ) 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
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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
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Vocabulary Expression Variables Coefficients Constants Terms
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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
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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.
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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
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Storm Check (Think, Write, Discuss, Report)
What are some key verbal phrases that are synonyms for algebraic symbols? = < ≤ ≥ >
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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
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“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.
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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 ≤
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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.
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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 ≥
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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?
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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 – 10 = 17, the solution is 27. ANSWER The regular price for 4 tickets is $27.
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$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
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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?
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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
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Vocabulary Expression Variables Coefficients Constants Terms
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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.
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Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 1.4 Pg ) 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
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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.
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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
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