Algebraic Thinking

Conjectures

Outcomes:

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.

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 n mice?

• How do you know?

Reviewa. 2 x s + 5 x s = 15 + 13b. 16 = 4 – t + 3 x tc. 15 + p = 2 x p – 3d. 6 x w + 43 = 10 + 9 x we. 3 x h = 20 – hf. 25 + 3 x k = 5 x k - 7

Conjectures “BIG Ideas”•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 examplesof conjectures your students havemade in the classroom

Building Conjectures in the Classroom27 + 0 = 27

9 + 0 = 93257 + 0 = 325723 + 7 = 2340 + 0 = 4049 + c = 4913 + m = 13

Write in words what you think is happening.

Write a number sentence using variables

Conjectures in the classroom

As you watch each video, pay attention to the

discussion questions and take notes on your

observations.

*Homework*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