Activity 1: Adding and Subtracting Fractions
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2/3 is a normal, proper fraction, where the 3 represents the number of total parts and the 2 is how many you are dealing with.
1 2/3 is a mixed number, where the 1 is how many whole quantities you have, plus some extra portion of the next whole.
Which of the quantities below is the largest?
A: 3/2 B: 2/3 C: 2/2
With a partner work through the Module 2 Instructions on Adding and Subtracting Fractions.
Make several paper plate pizzas and divide them into fractional parts such as 4s, 6s, 8s
Use these to practice adding and subtracting fractions.
Then each partner makes up some problems to challenge the other partner.
Activity 2: Fraction Game
Review finding common denominators and play the fraction game together
Activity 3: Adding and Subtracting Mixed Numbers
Mixed numbers makes things a little more interesting. There are two possible ways of adding and subtracting fractions. You should take a look at both and decide which you like better, then just stick with that method.
With a partner work through the Module 2 Instructions on adding and subtracting mixed numbers.
Then make up problems to challenge each other.
Your task now is to determine how much space we need for parking, how many cars you expect, how many cars you can accommodate each morning and each evening, and whether you need the extra parking space in the neighbor’s field. To figure this out you will need to understand some basics about fractions. You will also be using what you learned previously about integers. You can use the plan you started in the Task to help.
We are expecting about 10000 people per day. Of course about a third (1/3) of these are children and about half (1/2) come during the day and about half (1/2) during the evening and night. So parking should be determined on these figures. Also we should allow 8 feet wide by 10 feet long for each car parked.
To complete this task work through the step by step instructions below.
- Determine what 1/3 of the total people per day is. This will allow you to subtract the number of children who would not have a car. Subtract 1/3 from 3/3. How many thirds are left?
- Now take the number of people per day minus the children and break that in half since half come in the morning and half in the afternoon. (If you added these three numbers together again, you should get 10000).
EXAMPLE: If the total number of visitors was 9000 then: 3000 children + 3000 morning adults + 3000 evening adults = 9000
- Now you should know the number of cars to expect each morning and each evening. This is the number of parking spaces you will need.
- You should allow 8 feet wide by 10 feet long for each car parked. So, multiply the number of cars in the morning by 8 feet to determine how many you could park in one row. It is a good idea at this time to draw out your parking area on graph paper in rows. Remember that each row needs to allow 10 feet for the length of each car. You will also need a drive area between the rows of 15 feet to allow cars to pass through to park. Try different configurations to park the maximum number of cars in the least safe space.
- Once you have determined how much space you need to park the cars, go back to your original graphic where you outlined the parking space. Is it enough space? Do you need the additional 5 acres from the neighboring farm? How much more space do you need?
- Put all your information, including how you arrived at your answer in a Word document. You may attach additional documents and graphs if needed. Then submit to Moodle.