3.3+Exploring+Patterns

B.C 3.3 Exploring Patterns Math 7e

Big Understanding: Negative numbers help us to model many real world situations.

Essential Question #3: How do i find difference between two integers? 15-5=10 15-4=11 15-3=12 15-2=13 15-1=14 15-0=15

A. Descibe any patterns you observe in the way the differences change as the integers subtracted from 15 get smaller.

The patter is that every time it subtracts the difference will increase by one.

B. Use the patterns you observed to predict the answer to 15--1. Cheack your prediction by using a chip board or number line. -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 The answer is 16 and I preidcted correctly.

C. Priedict the answer to 15--4. Explain your reasoning.

My prediction is 19 and the answer is 19. I was able to know that if you subtract low numbers one by one than you a greater difference. So than I figured out the after 0 it would be -1 so then when you subtrack negative numbers and positive number it is the same as adding numbers.

F.U 1. Study the equation below. -10-5=-15 -10-4=-14 -10-3=-13 -10-2=-12 -10-1=11 -10-0=-10 a. Describe any patterns you observe in the way the differences change as the integers subtracted from -10 get smaller. Everytime when you subtract the least number to least the difference will go down.