MS Algebra A-REI-1 – Ch. 3.3Properties of Equality & Multiple Step Problems

Mr. DeyoApply the Properties of Equality to Multiple Step Algebraic Problems

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 Problems Date:

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?

2) Section 3.3 Pg. 142-143 3) Section ______TxtBk. Prob. #21-29 Odd,51,56 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?

Table of ContentsDate Description

Date Due

IMAGE 1 IMAGE 2

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?

For use with pages xxx–xxxDaily 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?

For use with pages xxx–xxxDaily 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

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

Notes:

DAY 3 and/or DAY 41. Review the word

¨ Friendly Definition¨ Physical Representation

2. Show how the word works¨ Synonyms/antonym¨ Word Problems¨ Related words/phrases¨ Example/non-example

Friendly DefinitionSketch

Wordwork Sentence

DAY 21. Review word

¨ Friendly Definition¨ Physical Representation

2. Draw a sketch

DAY 51. 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 11. Use Visuals

2. Introduce the word¨Friendly Definition¨Physical Representation

3. Use Cognates

4. Write friendly definition

5. Physical Representation

Word List1. 2. 3. 4.

Problem A

What is the value of x in the following equation?

5 (4x + 1) – 3 (5x – 6) = 38

Problem A

What is the value of x in the following equation?

5 (4x + 1) – 3 (5x – 6) = 38

( )1+4x5 ( )65x3 –– = 38

5+20x 1815x– = 38+

235x = 38+

5x = 15

x =3 Divide each side by 5.

Write original equation.

Distributive property

Combine like terms.

Subtract 23 from each side.

ANSWER

Problem B

Solve the equation.

( )13x4 = 24– ( )5x +–

Problem B

Solve the equation.

x = 3

( )13x4 = 24– ( )5x +–

ANSWER

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 algebraicproblem when _________________________________

_____________________________________________.

To apply the distributive property I have to __________

_____________________________________________

_____________________________________________.

Problem A Multiply by a reciprocal to solve an equation

Solve for the value of x. =2

3( )53x+ 24–

Problem A Multiply by a reciprocal to solve an equation

Solve for the value of x. =2

3( )53x+ 24–

=2

3( )53x + 24– Write original equation.

=53x + 16– Simplify.

=3x 21– Subtract 5 from each side.

=x 7–

=2

3( )53x +

3

2

3

224–( )• Multiply each side by , the

reciprocal of .32

23

Divide each side by 3.

Problem B

Solve for the value of N. = 28( )14N –54

Problem B

Solve for the value of N. = 28( )14N –54

ANSWER

9

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 __________________

_____________________________________________

_____________________________________________.

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

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 Problems Date:

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?

2) Section 3.3 Pg. 142-143 3) Section ______TxtBk. Prob. #21-29 Odd,51,56 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?

Table of ContentsDate Description

Date Due

Ticket OUT.

Solve for the value of x.

( )72x =1052 –6x – 3(x + 5) = -6

Ticket OUT.

Solve for the value of x.

( )72x =1052 –

ANSWER ANSWER

16

6x – 3(x + 5) = -6

3