What do you notice? What do you wonder?

Priya finds these height requirements for some of the rides at an amusement park.

1. Write equations and/or inequalities for the height requirements of each ride. Use for the unknown height. Then, represent each height requirement on a number line.

   • High Bounce

     

   • Climb-A-Thon

     

   • Twirl-O-Coaster

     

2. Han’s cousin is 55 inches tall. Han doesn’t think she is tall enough to ride the High Bounce, but Kiran believes that she is tall enough. Do you agree with Han or Kiran? Be prepared to explain your reasoning.

3. Priya can ride the Climb-A-Thon, but she cannot ride the High Bounce or the Twirl-O-Coaster. Which of the following could be Priya’s height? Be prepared to explain your reasoning.

   • 59 inches
   • 53 inches
   • 56 inches

4. Jada is 56 inches tall. Which rides can she go on?

5. Kiran is 60 inches tall. Which rides can he go on?

6. The inequalities and represent the height restrictions, in inches, of another ride. Write three values that are solutions to both of these inequalities.

Your teacher will give you and your partner two sets of cards—one set shows inequalities represented as statements or number lines, and the other shows numbers. Place the inequality cards face up where everyone can see them. Shuffle the number cards, and stack them face down.

To play:

• Decide which partner will go first. 
• One partner picks a number card from the stack without showing it to the other partner. 
• This partner gives a clue about what number card they have by selecting an inequality card that describes their number.
• The other partner guesses the number. If they guess correctly, the partners switch roles. If they guess incorrectly, the partner with the number card continues to give additional clues until their partner figures out the number.