What do you notice? What do you wonder?

Tyler is using small sticky notes to make a T shape to decorate a folder.

The longer side of the sticky note is inches. The shorter side is inches. The folder is 9 inches wide and 12 inches tall.

Here are 3 ways he could arrange the sticky notes:

Is the folder tall enough and wide enough for his designs? If so, which design(s) would fit? Show your reasoning.

Jada and Noah are hiking at a park. Here is a map of the trails. The length of each trail is shown.

Map. Magnolia Hills Park, Trail Map. Red, Blue, Orange, Green Trails. Red, has points C, D, E, and B. From B to C, sixty five hundredths mile. From C to D fourteen hundredths mile. From D to E forty one hundredths mile. From E to B two tenths mile. Red, total fourteen tenths miles. On the left of the red trail is the Blue trail, has points C and D. Blue, total one and 2 one hundredths miles. top right of red trail is Orange trail. It has points E to F. Orange, total, twenty four hundredths mile. Bottom right of red trail is Green trail. It has points, B to A. Green, total, six hundredths mile. 

1. Jada and Noah hike the orange trail from Point F to Point E, make one full loop on the red trail back to Point E, and then hike from E back to F.

   How many miles do they hike? Show your reasoning.

2. Here are two expressions that represent some hiking situations. What question might each expression help to answer? Write the question and the answer.

3. Use the distances on the map to write a new question and find its answer. Then trade questions with a partner and answer one another's question.

Your teacher will give you 1 card with an expression on it.

1. Find the value of the expression.
2. Find a classmate whose card also has the same value. Prove to each other that you’re a match.
3. Work with your partner to find at least 2 features that your expressions share—other than the fact that they have the same value.
4. Write one more expression that has the same value but uses a different operation.