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Algebra 1 – Week 15 Algebra 12 PLC © 2017 Fairfax Math Department 137 139 141 Standards Review Standards Review Standards Review Algebra 1 Standards Solve Inequalities Graph Inequalities Write Inequalities Graph Systems Substitution of Systems Elimination of Systems Systems of Inequalities Solve Linear Eqn's Solve Literal Eqn's Rate of Change Graph Linear Write Linear

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Page 1: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

137 139 141

StandardsReview

StandardsReview

StandardsReview

Algebra 1 StandardsSolve InequalitiesGraph InequalitiesWrite Inequalities

Graph SystemsSubstitution of SystemsElimination of SystemsSystems of Inequalities

Solve Linear Eqn'sSolve Literal Eqn'sRate of ChangeGraph LinearWrite Linear

Page 2: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question

Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up

137Week 15, Monday

EQ:Review

atSolve Linear Eqn'sSolve Literal Eqn's

Rate of ChangeGraph LinearWrite Linear

Solve each equation.

Page 3: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

TitleNotes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes

Summary:

Write your own notes

Page 4: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Page 5: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Page 6: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Page 7: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Graph using   y = mx + b

y = 3x + 2 m = _____

b = _____

­9x + 3y = ­3 x y21

0

­1

­2

Graph using a t­chart

Page 8: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

y ­ y1  = m(x ­ x1 )1.  Find the slope.2.  Pick any point.3.  Substitute the slope and the point into the point­slope form of a line.

Find the equation of the line.

  1.  (4, 3) and (8, 5)

  4.  (­2, 4) and (1, 6)

  7.  (3, 8) and (7, 7)

10.  (3, ­4) and (9, 4)

  2.  (1, 2) and (1, 6)

  5.  (­3, 5) and (­5, 8)

  8.  (­6, ­7) and (­4, ­4)

11.  (0, 4) and (­5, 7)

  3.  (6, 2) and (9, 2)

  6.  (5, ­8) and (3, ­8)

  9.  (8, 7) and (14, 1)

12.  (3, 10) and (2, 4)

6x + 2y = ­1612x + 4y = 164x ­ 2y = 6m = b = (0,      )

m = b = (0,      )

m = b = (0,      )

Solve for y ­ Identify slope and y­intercept

Equation _________ Equation _________

m =_______ b =_______m =_______ b =_______

Page 9: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Page 10: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure

Right Side...

Left Side...

Page 11: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question

Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up

139Week 15, Tuesday

EQ:Review

atSolve InequalitiesGraph InequalitiesWrite Inequalities

Solve Absolute ValueSolve literal EquationsSolve Systems by SubstitutionSolve systems by Elimination

Page 12: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

TitleNotes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes

Summary:

Write your own notes

Page 13: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Page 14: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Graph each inequality

Page 15: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure

Right Side...

Left Side...

Page 16: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question

Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up

141Week 15, Wednesday Review

EQ:

atGraph SystemsSubstitution of SystemsElimination of SystemsSystems of Inequalities

Page 17: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

TitleNotes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes  Notes

Summary:

Write your own notes

Page 18: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Solve each system by graphing

Solve each system by graphing

Page 19: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Solve each system of linear equations by substitution.

1.  Find the value of two numbers if their sum is 12 and their difference is 4. 

2.  The difference of two numbers is 3.  Their sum is 13.  Find the numbers. 

3.  The school that Stefan goes to is selling tickets to a choral performance.  On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38.  The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.  Find the price of a senior citizen ticket and the price of a child ticket. 

10. 11.

Page 20: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Solve each system of linear equations by elimination.

Page 21: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

1.  A box contains 5 times as many dimes as nickels.   The total amount in the box is $2.20.   How many coins of each type are in the box?

2.  In Ken’s pocket there are 3 times as many quarters as dimes. In all he has $1.70 in coins.  How many coins of each type does he have?

3.  There are twice as many nickels as pennies and 5 times as many dimes as pennies in Joan’s drawer. In all she has $1.22. How many coins of each type does she have?

4.  Monica has three times as many nickels as pennies and twice as many quarters as nickels. In all she has $3.32. How many coins of each type does she have?

Solve each system.

5.  Mitch put $4.55 in dimes and quarters on his desk. He has 7 more quarters than dimes. Find the number he has of each coin.

6.  If Sue has $1.45 in nickels and dimes, and the number of dimes exceeds the number of nickels by 4, how many nickels and how many dimes does she have?

7.  Constance has $2.80 in quarters and dimes. The number of quarters exceeds three times the number of dimes by 1.  Find the number she has of each kind.

8.  Wanda gave $5.30 in nickels, quarters, and dimes to her little daughter.  The number of dimes exceeded the number of nickels by 3, and the number of quarters was 20 less than the number of nickels.  Find the number of each kind of coin she gave to her daughter.

Page 22: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

Page 23: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity  ICA: In Class Activity

For each system, explain which method to use, then solve the system using that method.

Page 24: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure   Closure

Right Side...Left Side...

Page 25: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question

Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up

Week 15, Thursday No SchoolNo School

Page 26: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question  Essential Question

Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up  Warm­up

Week 15, Friday No SchoolNo School

Page 27: Algebra 1 Standards · ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity

Algebra 1 – Week 15

Algebra 1­2 PLC © 2017 Fairfax Math Department

End of Week 15