1.3 · Part II
Second Practice Form · Independent Application and Spiral Review
representation · tape diagram
- Select the mathematical tool (tape diagram, number line, grid) that best represents the quantities
- Label all parts and units clearly
- Connect visual relationships directly to numerical expressions
- representation (representación) — A picture, diagram, table, or equation that shows the mathematics in a situation.
- tape diagram (diagrama de cintas) — A rectangle cut into equal parts that helps you visualize how a total breaks apart.
- tool (herramienta) — Anything you choose to help you see relationships and solve a problem — a table, a diagram, a graph.
- ordered pair (par ordenado) — Two numbers that go together, like a time and a number of trips, that you can plot as a point.
- round trip (viaje de ida y vuelta) — A complete journey from the start, to the destination, and back to the start.
- Converting minutes to hours by moving the decimal point — 625 minutes is NOT 6.25 hours. An hour is 60 minutes, so divide by 60: 625 ÷ 60 ≈ 10.42 hours.
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1 MULTIPLE CHOICE
(Lesson 1.1) About how many people can ride the Ferris wheel at one time if it has 20 cars that each hold about 4 people?
- AAbout 80
- BAbout 24
- CAbout 5
- DAbout 400
✏️ Workspace & Solution Steps -
2 MULTIPLE CHOICE
(Lesson 1.1) Which of these is a correct way to decompose 78.5?
- A70 + 8.5
- B70 + 8.05
- C78 + 5
- D7 + 8.5
✏️ Workspace & Solution Steps -
3 MULTIPLE CHOICE
The round trip is 5 miles. How far does a tram car travel in 5 round trips?
- A25 miles
- B10 miles
- C1 mile
- D50 miles
✏️ Workspace & Solution Steps -
4 MULTIPLE CHOICE
The round trip is 5 miles. How far does a tram car travel in 5 round trips?
- A25 miles
- B10 miles
- C1 mile
- D50 miles
✏️ Workspace & Solution Steps -
5 MULTIPLE CHOICE
One tram ride takes 12.5 minutes. How many minutes do 10 rides take?
- A125 minutes
- B22.5 minutes
- C1.25 minutes
- D1,250 minutes
✏️ Workspace & Solution Steps -
6 MULTIPLE CHOICE
Five Breaks: which of these is a correct way to decompose 12.5?
- A10 + 2.5
- B10 + 2.05
- C12 + 5
- D1 + 2.5
✏️ Workspace & Solution Steps -
7 MULTIPLE CHOICE
How many minutes do 50 tram rides take, at 12.5 minutes per ride?
- A625 minutes
- B62.5 minutes
- C600 minutes
- D6,250 minutes
per 1
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8 OPEN RESPONSE
The two tram problems both use the 35-minute or 12.5-minute ride times. How are the two problems the SAME, and how are they DIFFERENT?
✏️ Mathematical Justification & Response -
9 OPEN RESPONSE
Math is in YOUR world. Describe a real situation from your life that works like the tram problem — a total split into equal groups, or a time built from equal chunks — and show the math.
✏️ Mathematical Justification & Response
Writing Task: Justify why your mathematical solution is accurate and complete.