1. Unit 9 Project Preview and Algebra By Jessica Rodriguez

2. Unit 9 Project… For your final project, you have the opportunity to apply the skills and strategies covered during the course. For the project, review the lessons on the project directions page. You will need to choose 2 lessons to analyze.

3. Unit 9 Project… For example, you could choose one from K-2 and 3-6 or K-2 and 7-8 or 3-6 and 7-8

4. Unit 9 Project… 1) What is the objective of the lesson ? How does the lesson assess that the objective has been met? 2) What math concept is being taught? 3) Does this lesson plan address the different needs of the students? If so how? If not, how could it be modified to incorporate differentiated instruction?

5. Unit 9 Project… 4) What materials are used to deliver this lesson? 5) In what ways does the lesson address course skills/strategies or concepts from the readings?

6. Other Requirements… Include a title page, opening and closing paragraphs, and a reference page. Use 12 pt. font and double-spaced. This project length should be approximately 3-5 pages.

7. Let’s Practice One Together! Go to the Information tab and click on the Final Project link. Or you can copy and paste the link. Here it is… http://www.col- ed.org/cur/math/math09.txt

8. Step 1: Read the Following Purpose Objectives Resources/Materials Meet back in 3 minutes…

9. Questions… What are the objectives of the lesson? What is the math concept being taught?

10. Step 2: Read the Following Activities Procedures Meet back in 3-4 minutes…

11. Questions… How does the lesson assess that the objective has been met ? What materials are used to deliver this lesson?

12. Questions… Does this lesson plan address the different needs of the students? If so, how? If not, how could it be modified to incorporate differentiated instruction?

13. Question… In what ways does the lesson address course skills/strategies or concepts from the readings?

14. Note… You can choose this lesson as one of the two lessons you analyze (although you do not have to). Make sure to choose another lesson as well from a different grade level span.

15. What is Algebra? A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set. (www.dictionary.com)

16. What is Algebra? Algebra is basically equations using symbols (variables) rather than numbers. Something as simple as 5 + ? = 9 is algebra!

17. What is Algebra? Algebra is basically equations using symbols (variables) rather than numbers. Something as simple as 5 + ? = 9 is algebra!

18. Symbolism A correct understanding of the equal sign is a key part of success in algebra. Many students develop misconceptions about the equal sign and see it as a symbol that separates the problem from the answer, rather than as a symbol of balance.

19. Example 1: ____= 6 + 4 or ___= 10 + 2 Some students will be stumped by this, even if they know how to add, because they are used to seeing the problem set up differently.

20. Example 2: ____ + 4 = 10 or 2+ ___= 12 What goes in the blanks? Many students will respond with 14 for both of the problems, because they see the addition sign, two numbers, and an equal sign, so they think they should add.

21. 6 + ____= 10 With this problem, you will likely see 16 in the blank. What is the misconception?

22. Example 3: 7 + 3 = 6 + ___ What goes in the blank? Often, students will add 7, 3 and 6 and write 16 in the blank.

23. Concrete Examples… = ?

24. Concrete Examples… =

25. 4 + ___ = 10 + ? =

26. Concrete Examples… 4 + ___ = 10 + ? =

27. Concrete Examples… 7+ 4 = 6 + __ =

28. Generalizations… Children should be encouraged to develop generalizations about number properties and also engage in “proving” that relationships are true… Here are some examples…

29. Zero Property 1 + 0 = 1 2+ 0 = 2 3+ 0 = 3 4+ 0 = 4 a + 0 = a X+ 0 = X What is the rule that students could prove based on the zero property?

30. Commutative Property 1 + 2 = 2 + 1 4 + 7 = 7 + 4 15 + 5 = 5 + 15 100 + 20 = 20 + 100 a + b = b + a X + Y = Y + X What is the rule that students could prove based on the commutative property?

31. Patterns Extending, inventing, and observing patterns is a key way to develop algebraic thinking and reasoning. Patterns can be represented in many ways… –Pictorally, Symbolically (numbers and letters) Auditorally, etc.

32. Patterns AABBAABBAABB, __, __, __ 3, 6, 9, 12, 15, 18, 21, __, __, __

33. Functions… Functions are growing patterns. What are some examples of functions?