1. Developing a Process and Content Peer Support System District 91 Idaho Falls, Idaho Facilitated by Dr. Jennifer Prusaczyk May 6, 2015

2. Thanks and Congratulations! Three Games Take the math off the paper Create a problem as a post measure (Story, Picture, Number, Words) Plan Story

3. Connecting Elementary Math to Algebra Success This connects to an MTI activity Use your graph paper to draw a rectangle that has 13 rows and 15 columns. Is it okay to think of 13 as 10 + 3? (K-2 how do you live this with your students?) If it is okay to think of 15 as 10 + 5 then draw a vertical line to represent it. Lots of geometric representation of multiplication connects arithmetic to algebra

4. How do you connect (a + 2) ( a + 7) to this picture? (12 x 17) 123456789101234567 2 3 4 5 6 7 8 9 1 2 100 1420 70 Arithmetic in 2Dimensions a pictorial representation of 12 x 17 12 x 17 = 100 a 2 70 7a 20 2a _ + 14 14 204

5. Connecting Elementary Math to Algebra Success Consider the meaning of multiplication as repeated groups. Groups x Members = Total 5 cookies with 3 chocolate chips on each cookie. For the purpose of developing thinking, ask students, “What’s the question? 5 x 3 = Representing the specific story with specific symbols. 5(a + 3) means 5 groups with a + 3 in each group. Algebra is taking something specific and making it general. 5a + 15 Let’s talk about multiplication as a process and not simply a list of facts to memorize.

6. Connecting Elementary Math to Algebra Success Pick a number between 1 and 10 (formative assessment) Set that number equal to itself 5 = 5 Write your target number as the answer to ….. Addition 5 = 2 + 3 Subtraction 5 = 10 – 5 Multiplication 5 = 5 x 1 Division 5 = 15 divided by 3 (opportunity to list multiples to find a division problem) Repeat with 2 digit number less than 20. Repeat with 3 digit number.

7. Moles and Squirrels (or Tunnels and Towers) Use the back of your graph paper. We will draw a game board. Put a circle in the center and call it ground zero. Draw ten boxes above and ten boxes below. Pick a color Black or Red and write it on the bottom of your paper If you wrote Black write Squirrel at the top of your paper If you wrote Red write Mole at the top of your paper Decide what is adding and what is subtracting. Record it for reference at the bottom of your paper. What do you know about Squirrels and Moles?

8. Play the game Play takes turns in groups of 3 or 4. We will all play together. “I’m a mole, I’m adding tunnel (or subtracting tunnel) I’m a squirrel, I’m adding tree (or subtracting tree) Allow time to reason about whether that is an upward movement or a downward movement. JOKER doubles the next move! (Multiplying integers)

9. Play the game Play with simple number sentences. Adding is now also positive (think tree) Subtracting is now also negative (think tunnel). We read the card and we read the operation. We think about what it means. We do not try to memorize a rule. Joker doubles. This is laying the foundation for success in algebra.

10. Post Measure….Basic operations in Context Story Picture Numbers Words Number sets allow for differentiation. See what the student picks. Be prepared for a random selection of pre/post student work.

11. PLANNING TIME – 15 minutes or so.

12. The Story of a Journey The passion refines from facilitating to conversing to connecting. You have been very important in this process. Thank you.