SizePrice per Pumpkin Small$1.15 Medium$3.60 Large$5.25 Our class is planning a trip to the Pumpkin Patch. We have earned $53.29 to spend at the Pumpkin Patch. If we are allowed to get ANY COMBINATION of different sized or same sized pumpkins, how many different combinations could we get? Mathematically justify all combinations.

Solutions:

Since we don’t have to spend exactly $53.29, what would we call these number sentences? Inequalities Take 2 minutes in your team to define an inequality.

An inequality is a mathematical sentence that uses one of the inequality symbols to state the relationship between two quantities. An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: < ≤ > ≥

In your groups, list as many words/phrases as you can think of that make you think of each of these symbols. <≤>≥

Let’s look at some real life examples where you see these words and/or symbols!

There is a play area at the Salisbury Mall but it’s only for children. Must be under 36 inches to play. The play area has a height restriction where you must be under 36 inches to play. Write an inequality to represent the height of a child playing in the play area.

Denny’s offers special deals to their customers for various things. Write an inequality to represent the ages that children can eat for free.

This in ground trampoline will break if the total weight reaches 230 pounds. Write an inequality to represent how much weight could be held by the trampoline. If you are already on the trampoline and weigh 120 pounds and your friend wants to join you, write an inequality that represents how much weight, w, could be added to the trampoline without breaking.

You shovel snow for your neighbors and earn more than $50. Write an inequality to represent how much money you earned shoveling snow. You decide to charge $6.25 per hour, h, to shovel snow. Write an inequality to find out how many hours you worked to earn more than $50

WORD PROBLEM – GP #1 Define a variable, and write an inequality or equation that models each situation. The band must earn more than $75 for a trip. Band members already earned $35. Write an inequality to find how much money they still need to earn. x + 35 > 75 Let x = money band needs to earn

WORD PROBLEM – GP #2 Define a variable, and write an inequality or equation that models each situation pounds of candy are being equally divided among s students. Each student got 1.9 pounds of candy ÷ s = 1.9 Let s = number of students

Define a variable, and write an inequality or equation that models each situation. Luis can throw a football 20.5 yards. He wants to improve his throw by y yards to beat the school record. The school record is 63.5 yards. WORD PROBLEM – GP # y > 63.5 Let y = yards to improve his throw

WORD PROBLEM – QUICK CHECK

 p + 2½ > 6 x ÷ 18 = 5.25 Let x = total cost of pizza Let p = weight of bookbag