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MS Algebra A-REI-1 – Ch. 3.3 Properties of Equality & Multiple Step Problems Mr. Deyo Apply the Properties of Equality to Multiple Step Algebraic Problems
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By the end of the period, I will apply various algebraic properties to solve multi-step problems. I will demonstrate this by completing Four- Square Notes and by solving problems in a pair/group activity. Learning Target Title: 3.3 Applying Properties to Multi-Step ProblemsDate:
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Home Work 1-2-3 : 1) Class 4-Square Notes Put In Binder? 2) Section 3.3 Pg. 142-1433) Section ______ TxtBk. Prob. #21-29 Odd,51,56Notes Copied on blank sheet Solved and Put in Binder?of paper in Binder? Table of Contents DateDescriptionDate Due
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Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer: 1.How are the two images similar? 2.How are they different? 3.How can these two images be related to math?
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For use with pages xxx–xxx Daily Warm-Up Exercises A charter bus company charges $9 per ticket plus a handling charge of $2 per ticket, and a $15 fee for booking the bus. If a group pays $279 to charter a bus, how many tickets did they buy?
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For use with pages xxx–xxx Daily Warm-Up Exercises A charter bus company charges $9 per ticket plus a handling charge of $2 per ticket, and a $15 fee for booking the bus. If a group pays $279 to charter a bus, how many tickets did they buy? ANSWER 24 tickets
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1)Distributive Property 2)Addition Property of Equality (P.O.E.) 3)Subtraction P.O.E. 4)Multiplication P.O.E. 5)Division P.O.E. Vocabulary
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Notes:
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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 Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch 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 DAY 1 1.Use Visuals 2.Introduce the word Friendly Definition Physical Representation 3.Use Cognates 4.Write friendly definition 5.Physical Representation Word List 1. 2. 3. 4. Word List 1. 2. 3. 4.
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Problem A What is the value of x in the following equation? 5 (4x + 1) – 3 (5x – 6) = 38
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Problem A What is the value of x in the following equation? 5 (4x + 1) – 3 (5x – 6) = 38 () 1+4x4x5 () 65x5x3 –– = 38 5+20x1815x – = 38+ 235x5x = 38+ 5x5x = 15 x = 3 Divide each side by 5. Write original equation. Distributive property Combine like terms. Subtract 23 from each side. ANSWER
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Problem B Solve the equation. () 13x3x4 = 24 – () 5x+ –
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Problem B Solve the equation. x = 3 () 13x3x4 = 24 – () 5x+ – ANSWER
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Storm Check (Think, Write, Discuss, Report) Explain in your own words the process of when and how you apply the distributive property to an algebraic problem? I apply the distributive property to an algebraic problem when _________________________________ _____________________________________________. To apply the distributive property I have to __________ _____________________________________________ _____________________________________________.
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Problem A Multiply by a reciprocal to solve an equation Solve for the value of x. = 2 3 () 53x3x + 24 –
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Problem A Multiply by a reciprocal to solve an equation Solve for the value of x. = 2 3 () 53x3x + 24 – = 2 3 () 53x3x + – Write original equation. = 53x3x + 16 – Simplify. = 3x3x 21 – Subtract 5 from each side. = x 7 – = 2 3 () 53x3x + 3 2 3 2 24 – () Multiply each side by, the reciprocal of. 3 2 2 3 Divide each side by 3.
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Problem B Solve for the value of N. = 28 () 14N – 5 4
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Problem B Solve for the value of N. = 28 () 14N – 5 4 ANSWER 9
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Storm Check (Think, Write, Discuss, Report) When would you apply the distributive property and when would you multiply by the reciprocal? I apply the distributive property when ______________ _____________________________________________. I multiply by the reciprocal when __________________ _____________________________________________ _____________________________________________.
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1)Distributive Property 2)Addition Property of Equality (P.O.E.) 3)Subtraction P.O.E. 4)Multiplication P.O.E. 5)Division P.O.E. Vocabulary
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By the end of the period, I will apply various algebraic properties to solve multi-step problems. I will demonstrate this by completing Four- Square Notes and by solving problems in a pair/group activity. Learning Target Title: 3.3 Applying Properties to Multi-Step ProblemsDate:
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Home Work 1-2-3 : 1) Class 4-Square Notes Put In Binder? 2) Section 3.3 Pg. 142-1433) Section ______ TxtBk. Prob. #21-29 Odd,51,56Notes Copied on blank sheet Solved and Put in Binder?of paper in Binder? Table of Contents DateDescriptionDate Due
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Ticket OUT. Solve for the value of x. ( ) 7 2x2x = 10 5 2 – 6x – 3(x + 5) = -6
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Ticket OUT. Solve for the value of x. ( ) 7 2x2x = 10 5 2 – ANSWER 16 6x – 3(x + 5) = -6 3
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