1. The document provides resources for teaching algebra concepts such as variables, order of operations, and evaluating expressions. 2. It includes links to websites, videos, and images to demonstrate key ideas like PEMDAS and completing the square. 3. Students are expected to recognize multiple uses of variables, determine possible variable values, and evaluate algebraic expressions involving variables.

1. Kimberly Hefty
EdTech 541
Image courtesy of http://blog.raptivity.com/2012/04/thinning-line-betweeninteractivity-and-interaction/

2. Students are expected to:
A1.2.B
Recognize the multiple uses of variables, determine all
possible values of variables that satisfy prescribed
conditions, and evaluate algebraic expressions that
involve variables.
By U.S. Navy photo by Journalist 2nd Class Mat Sohl. [Public domain], via
Wikimedia Commons

3. For more information
Visit:
http://www.k12.wa.
us/mathematics/st
andards.aspx

4. Algebra

5. 1. Make sense of problems & persevere in solving
them.
Image courtesy of http://plsonline.wordpress.com/2008/05/02/new-courseteaching-algebra-to-middle-school-students/

6. 2. Reason abstractly and quantitatively.
Image: http://commons.wikimedia.org/wiki/File:A

7. 3. Model with mathematics.
Image: See page for author [Public domain], via Wikimedia Commons

8. Image: By UNCTAD [CC-BY-SA-2.0 (http://creativecommons.org/licenses/by-sa/2.0)], via Wikimedia Commons

9. 
Image: By Ricardo Cancho Niemietz (talk).Ricardo Cancho Niemietz at en.wikipedia [Public domain], from Wikimedia Commons

10. Click to watch video
Arithmetic with Polynomials and
Rational Expressions A –APR

11. Image: http://ell.stanford.edu/sites/default/files/Creating%20Equations.jpeg

12. Variables
Order of Operations

13. By Averater (Own work) [CC0], via Wikimedia Commons

14. Variables are letters or symbols used to represent
numbers
Iantresman at English Wikipedia [GFDL (http://www.gnu.org/copyleft/fdl.html) or
CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia
Commons

15. 
Click me
Click me
Click me
Click me

16. MORE PRACTICE WITH
VARIABLES

17. •
By HB (Own work) [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0-2.5-2.0-1.0
(http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons

19. 





P
E
M
D
A
S
Image courtesy of http://www.mahalo.com/pemdas/

20. P=
•

21. 
Click me
Click me
Click me
Click me

22. 

23. Examples of
exponents/power
s
answer
5^3 = 125
answer
(-2)^4 = 16
By Ryan Somma (Flickr: Multiplication Machine) [CC-BY-SA-2.0
(http://creativecommons.org/licenses/by-sa/2.0)], via Wikimedia Commons

24. M= Multiplication
D= Division
Apply in order
LEFT TO RIGHT

25. Practice Problems:
5+ 3 x 8 ÷ 2
5 + 24 ÷ 2
Select to reveal
5 answer & steps
+ 12
=17
10 – 4 ÷ 2 x 5
10 – 2 x 5
Select to
10 – 10 reveal
answer & steps
=0
Image courtesy of http://www.psycheduweb.fr/2011lodyssee-dune-influence-web-versatile/

26. A = Addition
S = Subtraction
Apply in order
Left to Right

27. Practice Problems:
8–2+3
Select
6+3 to reveal
answer & steps
=9
10 + 5 – 2
Select to
15 – 2 &reveal
answer steps
= 13
Image: http://www.sri.com/work/projects/bridging-valley-step-ahead-stemmajors

29. Please
Excuse
My
Dear
Aunt
Sally

30. 8 + (5)(4) – (6 + 10 ÷ 2) + 44
8 + (5)(4) – (6 + 5) + 44
8 + (5)(4) – (11) + 44
8 + 20 – (11) + to See
Click Here 44
Solution
28 – 11 + 44Steps
&
17 + 44
= 61
More Practice At:
http://www.mathsisfun.com/operationorder-pemdas.html

31. 7 x 2 + (7 + 3 x (5 – 2)) ÷ 4 x 2
7 x 2 + (7 + 3 x (3)) ÷ 4 x 2
7 x 2 + (7 + 9) ÷ 4 x 2
7 x 2 + (16) ÷ 4 x 2
Click 14 + to See ÷ 4 x 2 & Steps
Here (16) Solution
14 + 4 x 2
14 + 8
22
For more explanation of these steps go:
HERE(VIDEO)

32. Resources
Resources:
Graham, A. T., & Thomas, M. O. (2000). Building a versatile understanding of
algebraic variables with a graphic calculator. Educational Studies in
Mathematics, 41(3), 265-282.
Lee, J. K., Licwinko, S., & Taylor-Buckner, N. (2013). Exploring Mathematical
Reasoning of the Order of Operations: Rearranging the Procedural
Component PEMDAS. Journal of Mathematics Education at Teachers College,
4(2).
Roblyer, M.D. & Doerling, A.H. (2013). Integrating educational technology into
teaching (6th ed.). Upper Saddle River, NJ: Pearson.

33. Resources
Videos:
Algebra (Khan Academy)
https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-andexpressions/v/what-is-a-variable
PEMDAS
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-andmultiples/cc-6th-order-operations/v/introduction-to-order-of-operations
http://www.youtube.com/watch?v=OWyxWg2-LTY
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-andmultiples/cc-6th-order-operations/v/more-complicated-order-of-operations-example
Completing the Square
http://upload.wikimedia.org/wikipedia/commons/3/3d/Completing_the_square.ogv

34. Resources
WEBSITES:
http://www.k12.wa.us/mathematics/standards.aspx
http://www.k12.wa.us/CoreStandards/Mathematics/
http://www.mathsisfun.com/operation-order-pemdas.html
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factorsand-multiples/cc-6th-order-operations/v/more-complicated-order-ofoperations-example
http://upload.wikimedia.org/wikipedia/commons/3/3d/Completing_the_squ
are.ogv
IMAGES:
http://commons.wikimedia.org/wiki
http://www.mahalo.com/pemdas/
http://blog.raptivity.com/2012/04/thinning-line-between-interactivity-andinteraction/