AKA The Fragmentary Fast Food Frequency Order Up! AKA The Fragmentary Fast Food Frequency Teacher Supplies: the usual stuff (whiteboards, markers, whiteboard erasers), including Tickets Out The Door, one for each student, PLUS calculators

What questions do you have? What do you notice? What questions do you have?

Question: What is the cost of this guy’s total order?

Write an estimate that is: Too high Write an estimate that is: Best Guess Too low

What information do you need to answer the question? Let the groups discuss this for a few moments before eliciting suggestions ...

Some useful information... 3 hamburgers = $12.00, 5 fries = $11.25, 2 chicken nuggets = $7.00, and 4 cokes = $7.00 Total = $37.25

So, what is the total cost of this guy’s order? This guy’s order will cost $37.25! Total = $12.00 + $11.25 + $7.00 + $7.00 = $37.25

Which method of solving was Faster? Calculating in order Grouping, then calculating Grouping should be faster … hopefully, students will recognize this and can now see the value in practising the gathering of like terms, followed by the evaluation in the simplified form.

Let’s try another example or four... A + B + B + C + B + A + A + C + A = 4A + 3B + 2C 2D + E + E + 2F + D + 2E + F + 2D = 5D + 4E + 3F 10Q + 8 + 2Q + 1 + 5Q + 3 = 17Q + 12 9 +3W + 2 + 2W ‒ 7 ‒ W = 4W + 4 = 4A + 3B + 2C = 5D + 4E + 3F = 17Q + 12 = 4W + 4

Let’s evaluate a couple of our previous expressions... 10Q + 8 + 2Q + 1 + 5Q + 3 = 17Q + 12 If Q = $14.80, what is the total cost of the order above? The expression equals $263.60

Let’s evaluate a couple of our previous expressions... A + B + B + C + B + A + A + C + A = 4A + 3B + 2C If A = $2.50, B = $1.75, and C = $0.65, what is the total cost of the order above? The expression equals $16.55

Gathering Like Terms Gathering Like Terms Consolidate to Salmon “Number Sense & Algebra” divider ... Gathering Like Terms Gathering Like Terms Like terms have the same variable raised to the same exponent. You gather like terms in the same way you do integers: combine all the same variables together. Simplify the following expressions: Ex. 1) 2x + 3y + x + 2y = 3x + 5y Ex. 2) 2a + 6 + 2 + 4a = 6a + 8 Ex. 3) 10p - 4r - 3p + 6r = 7p + 2r

Check out this other crazy order! With any additional time, have students create their own expressions to be simplified and evaluated - pairs can create, swap, simplify, and evaluate together.

Simplify the expression below: A + D + A + D + N + A What situation could the expression you’ve simplified possibly describe? If the costs of each item are as listed below, what is the total cost of the order? D = $5 N = $2 A = $3 Ticket Out The Door! Please complete the following questions and submit them to your teacher! You can use this as the Ticket Out The Door if you don’t want to print it on paper!