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Algebraic Thinking Conjectures . I will begin to use what I know about equality, relational thinking, and properties to solve problems I will develop an understanding of conjectures and think how to use them in the classroom. Outcomes: . Mice in a Cage Problem.
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I will begin to use what I know about equality, relational thinking, and properties to solve problems • I will develop an understanding of conjectures and think how to use them in the classroom. Outcomes:
Mice in a Cage Problem Ricky has _____pet mice. He keeps them in two cages. One cage is red and the other is blue. Show all the ways that ___ mice can be in these two cages. Find all the combinations Show your work How do you know you have found them all?
Mice in a Cage Problem How many combinations would there be for nmice? How do you know?
Review a. 2 x s + 5 x s = 15 + 13 b. 16 = 4 – t + 3 x t c. 15 + p = 2 x p – 3 d. 6 x w + 43 = 10 + 9 x w e. 3 x h = 20 – h f. 25 + 3 x k = 5 x k - 7
As you read the BIG ideas, think about how students explain their thinking and make conjectures. • Read the types of Conjectures. Share with your table examples of conjectures your students have made in the classroom Conjectures “BIG Ideas”
27 + 0 = 27 9 + 0 = 9 3257 + 0 = 3257 23 + 7 = 23 40 + 0 = 40 49 + c = 49 13 + m = 13 • Write in words what you think is happening. • Write a number sentence using variables Building Conjectures in the Classroom
As you watch each video, pay attention to the discussion questions and take notes on your observations. Conjectures in the classroom
Try out the Mice in a Cage Problem with your students. Bring back 5 samples of student work and be ready to share. • Bring an example either form Investigations or Connected Math where you and students made conjectures Homework