# 1.8 Order of Operations

Order of Operations is the eighth and final section of "Chapter 1: Number Relationships".
**Introduction to the Order of Operations**

When I took this picture, we hadn't yet established the learning goal or success criteria. We usually do those after completing a couple exercises, since if we try to do it right at the beginning, all the students can really guess is that "we need to understand the order of operations".

Ultimately, the learning goal is to understand that multiplication is repeated addition, division is a grouping of a number into groups, and both of those take priority over addition and subtraction. After that, we will try to understand why brackets and exponents have an even higher priority.

Questions 2 and 3 (modelled with algebra tiles) encourage students to visualize what is happening with the positive and negative numbers. In question 2, they should come to the conclusion that the $latex -(4+5)$ means that the four and five need to be added together, but that the resulting number (nine) will be negative.

In question 4, students should realize that multiplication is repeated addition, and as such, should be either expanded first or done first. The yellow algebra tiles are the visual representation we used for question 4(a). The other two parts of the question are done in a similar fashion.

## Support Questions

Do any five of the following: p. 36, #4, 6, 10, 11, 12, 15.