Practice Set · Part 1
Math is Everywhere
Pick up where we left off
Where we left off
Our goal: I can find applications of math outside of school — in professions like being a chef, in hobbies like gardening, and around my own house, explain why the method works, and use it on a problem I have not seen before.
The big idea: Real jobs use several steps, like finding part of a crowd or adding depth to an area, so check that each answer makes sense.
Model to copy — Example · Plan the soup for a crowd
- A chef expects 80 customers. 1 out of every 4 customers orders soup. Each bowl uses 2 cups of broth. How many cups of broth should the chef make?
- Find the scale factor from 4 customers to 80: 80 ÷ 4 = 20
- Multiply the soup orders by 20 too: 1 × 20 = 20
- Multiply the bowls by the cups per bowl: 20 × 2 = 40
- Check that the answer is reasonable: 80 × 2 = 160
- The chef should make 40 cups of broth.
Start here
You did these with your group. Now do them on your own — the model above is yours to copy.
- 1
Same stepsFinish what the group started. Use the model above, step for step.
Try it together — then prove it: A planter is 4 feet long and 2 feet wide. The soil must be 1 foot deep. Find the area and the volume. Then compare them. What is the area of the bottom of the planter? (4 × 2 = 8 square feet) What is the volume of the soil? (4 × 2 × 1 = 8 cubic feet) Both answers are 8. Are area and volume the same thing? Why? (No. Area covers flat space in square feet. Volume fills space in cubic feet. They match only because the soil is 1 foot deep.) What if the soil must be 2 feet deep? (4 × 2 × 2 = 16 cubic feet. The area stays 8 square feet.)Show your work - 2
Warm restartWhat is 0.3 × 5?
- A0.15
- B1.5
- C5.3
- D15
How do you know?
- 3
Warm restartWhat is 0.4 × 0.7?
- A0.028
- B0.28
- C2.8
- D28
How do you know?
- 4
Warm restartA notebook costs $2.45. How much do 6 notebooks cost?
- A$1.47
- B$14.10
- C$14.70
- D$147.00
How do you know?
Practice Set · Part 2
Math is Everywhere
Keep going
You answered these out loud. Now write them.
Answer, then say how you know — the reason is the part that counts.
- 5
Think it throughA chef is deciding how many portions of a new dish to prepare tonight, based on how many customers are expected. Which math task is this?
- AProjecting how much food is needed for the day
- BSetting the price of the dish
- CDecorating the plate for presentation
- DNaming the dish on the menu
Why is that the answer?
- 6
Think it throughA gardener knows the size of their planter box and wants to know how much soil to buy to fill it. What should the gardener calculate?
- AThe area of the planter
- BThe perimeter of the planter
- CThe number of leaves per plant
- DThe volume of the planter
How do you know? Give a second reason as well.
- 7
Think it throughLeaving the water running while brushing wastes an average of 4 gallons compared to turning the water on only to rinse. If one person brushes twice a day for a year (365 days), how many gallons would they save by turning the water off?
- A730 gallons
- B1,460 gallons
- C2,920 gallons
- D5,840 gallons
Explain your thinking. What would have to change for a different choice to be right?
- 8
Back to the modelThe chef plans a planter that is 4 feet long and 2 feet wide, filled 1 foot deep with soil. What two different things does the chef calculate about that planter, and why are they different?
Sort it again — on paper this time
Write the letter of the group each one belongs in.
- Calculate the price point for each item
- Decide on the portion size of each item
- Project how much food is needed for each day
- Calculate how much of each ingredient to order
- Calculate the volume of the planter to find the amount of soil needed
- Calculate the area of the planter to decide how many plants to plant
- Measure the distance between seeds
- Measure how deep to plant each seed
Practice Set · Part 3
Math is Everywhere
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- A job someone is trained to do, like chef or nurse, is a ___.
- The supply a business keeps on hand, tracked by counting, is its ___.
- The measured amount of food served to one person is a ___.
- The flat space a surface covers, in square units, is its ___.
Explain the thinking
- 9
Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.
The mistake: Believing math only 'counts' when it happens in a classroom — and walking past the calculating, measuring, and projecting inside jobs, hobbies, and chores every day. - 10
Say moreWhen you sorted the chef's tasks from the gardener's tasks, what made a card belong with 'calculating the volume of the planter' instead of 'calculating the area of the planter'?
- 11
Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: A busy restaurant kitchen. A chef reads a recipe card while cooks prep vegetables, and a whiteboard lists tonight's specials with prices.
Show your work
Practice Set · Part 4
Math is Everywhere
Show what you know
Last check
These two come from Lesson 9.4. If they are shaky, that is the lesson to revisit — not this one.
- 12
Show what you knowExplain your thinking — Which statement best shows what this lesson means by 'math is everywhere'?
- AMath only appears in jobs that involve money
- BPeople use math every day in their professions and hobbies, and it solves problems around the house too
- CMath is a school subject with little relevance to life outside the classroom
- DOnly trained professionals like chefs are able to use math
Explain your choice.
- 13
From Lesson 9.4Explain your thinking — The plant produces 2.5 cars per hour. Using 2.5h = 1,000, how many hours does the order of 1,000 cars take?
- A40 hours
- B400 hours
- C997.5 hours
- D2,500 hours
How do you know?
- 14
From Lesson 9.4Bakery B charges $2.50 per cupcake with no fee: cost = 2.5n. Solving 2.5n = 110 gives n = 44 cupcakes. Which bakery should Yelina choose to get more cupcakes within her $110 budget?
- ABakery A, because 50 cupcakes is more than 44 cupcakes
- BBakery B, because 2.5 is greater than 2
- CBakery A, because it has a delivery fee
- DThey are the same, because both cost exactly $110
How do you know?
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got it |
|---|---|---|---|
| I can find applications of math outside of school — in professions like being a chef, in hobbies like gardening, and around my own house, explain why the method works, and use it on a problem I have not seen before. | |||
| I can explain why it works: Real jobs use several steps, like finding part of a crowd or adding depth to an area… | |||
| I can justify my answer to a skeptic and connect it to a second strategy or representation. |
One question I want to ask my group next time