MY “COOKING WITH FRACTIONS” COOKBOOK ...math7.greenwich.wikispaces.net/file/view/recipe_for...If...
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Name_______________________________________________________ Section_________________________________ Date _________________________________ Overview You are about to create a very unique cookbook. All of the recipes included will be created by you. The recipes will contain fractions and mixed numbers which you will work with in a variety of ways. This project has been designed to allow you to discover fractions on your own with minimal assistance from your teacher. There will be checkpoints along the way to make sure you are making good progress. After completing a recipe, you will have several tasks to complete using the ingredients. All work for a particular recipe should be completed on the back of the recipe page.
Transcript of MY “COOKING WITH FRACTIONS” COOKBOOK ...math7.greenwich.wikispaces.net/file/view/recipe_for...If...
Name_______________________________________________________
Section_________________________________
Date _________________________________
Overview You are about to create a very unique cookbook. All of the recipes included will be created by you. The recipes will contain fractions and mixed numbers which you will work with in a variety of ways. This project has been designed to allow you to discover fractions on your own with minimal assistance from your teacher. There will be checkpoints along the way to make sure you are making good progress. After completing a recipe, you will have several tasks to complete using the ingredients. All work for a particular recipe should be completed on the back of the recipe page.
Name_______________________________________________________
Section_________________________________
Date _________________________________
RECIPE #1 Finding Happiness
4
3 cup
8
5 cup
7
6 cup
11
6 cup
10
7 cup
9
8 cup
Directions:
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Recipe #1 Activities
1. Choose two ingredients. Find a common denominator (LCD) and compare which fraction is larger. You may use one of these two strategies to compare the fractions. SHOW YOUR WORK.
Use prime factorization to find the LCM/LCD and then write equivalent fractions and compare.
List the multiples of each denominator to find the LCD. Then write equivalent fractions and compare.
Ingredient
Quantity Compare Fractions
Repeat two more times with different fractions. SHOW YOUR WORK.
Ingredient
Quantity Compare Fractions
Ingredient
Quantity Compare Fractions
2. Choose one ingredient. Write four equivalent fractions. SHOW YOUR WORK.
Ingredient & Quantity
Equivalent Fraction
Equivalent Fraction
Equivalent Fraction
Equivalent Fraction
3. Choose two ingredients. Find the total number of cups. SHOW YOUR WORK.
Ingredient & Quantity
Total Number of Cups
Ingredient & Quantity
4. Choose two ingredients. Determine which one uses more cups and by how much more. SHOW YOUR WORK.
Ingredient & Quantity
Which uses more cups? How much more?
Ingredient & Quantity
5. Rewrite each fraction so that it is not in simplest form. SHOW YOUR WORK.
6. Place all of the ingredients in order from least to greatest. Use any method you choose to determine how to
best accomplish this. SHOW YOUR WORK.
Method #1: Find the prime factorization of all denominators to get the LCM/LCD. Then write equivalent fractions with this LCD. Finally, compare all fractions.
Method #2: List the multiples of each denominator until you get a common denominator of LCD. Write equivalent fractions with a common denominator and compare all fractions.
Name_______________________________________________________
Section_________________________________
Date _________________________________
RECIPE #2 Living a Long Life
24
3 cups
18
5 cups
32
1 cups
8
7 cup
24
1 cups
1 cup
Directions:
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Recipe #2 Activities 1. Place the ingredients in order from greatest to least.
Least Greatest
2. Convert all mixed numbers to improper fractions.
24
3
18
5 3
2
1 2
4
1
3. Choose one ingredient. Write three equivalent fractions with denominators greater than 100. SHOW YOUR
WORK.
Ingredient & Quantity
Equivalent Fraction
Equivalent Fraction
Equivalent Fraction
4. Choose two ingredients. Find the total number of cups. SHOW YOUR WORK.
Ingredient & Quantity
Total Number of Cups
Ingredient & Quantity
5. Choose two ingredients. Determine which one uses more cups and by how much more. SHOW YOUR WORK.
Ingredient & Quantity
Which uses more cups? How much more?
Ingredient & Quantity
6. Write two word problems about your recipe that require addition of fractions or mixed numbers. Then solve each problem. SHOW YOUR WORK.
Problem #1 Problem #2
7. Write two word problems about your recipe that require subtraction of fractions or mixed numbers. Then
solve each problem. SHOW YOUR WORK.
Problem #1 Problem #2
Name_______________________________________________________
Section_________________________________
Date _________________________________
RECIPE #3: Passing Seventh Grade
RECIPE #3 Striving for Excellence
14
2 tbsp.
38
6 tbsp.
29
3 tbsp.
8
2 tbsp.
412
9 tbsp.
115
10 tbsp.
Directions:
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Recipe #3 Activities 1. Look only at the fractions involved (ignore all whole numbers). Place these fractions in order from least to
greatest. SHOW YOUR WORK. 2. Write all fractions or mixed numbers in simplest form. SHOW YOUR WORK.
3. Write all mixed numbers as improper fractions.
4. Write a subtraction word problem about your recipe that requires you to change all mixed numbers to improper fractions. Solve it. SHOW YOUR WORK.
5. Write two word problems about your recipe that require addition of fractions and/or mixed numbers. Then
solve each problem. SHOW YOUR WORK.
Problem #1 Problem #2
6. Write two word problems relating to your recipe which require the subtraction of fractions and/or mixed
numbers. Then solve each problem. SHOW YOUR WORK.
Problem #1 Problem #2
Name_______________________________________________________
Section_________________________________
Date _________________________________
RECIPE #4 Earning the Respect of Others
24
1 quarts
38
1 quarts
12
1 quarts
28
5 quarts
112
7 quarts
33
2 quarts
Directions:
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RECIPE #4 Activities
1. Write three word problems about your recipe that require subtraction of fractions or mixed numbers. Solve them.
Problem #1 Problem #2 Problem #3
2. Write three word problems about your recipe that require addition of fractions or mixed numbers. Solve them.
Problem #1 Problem #2 Problem #3
3. Convert all ingredients into pints. Use unit analysis to convert quarts to pints.
24
1 quarts
38
1 quarts
12
1 quarts
28
5 quarts
112
7 quarts
33
2 quarts
4. Convert all mixed numbers into improper fractions.
24
1
38
1 1
2
1 2
8
5 1
12
7 3
3
2
5. Convert all fractions into decimals.
24
1
38
1
12
1
28
5
112
7
33
2
Name_______________________________________________________
Section_________________________________
Date _________________________________
RECIPE #3: Passing Seventh Grade
RECIPE #5 SUMMER FUN
8
7 gallon
38
5 gallons
4
3 gallon
16
13 gallon
9
8 gallon
23
2 gallons
Directions:
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Recipe #5 Activities 1. If you had to add all of the mixed numbers, what would the LCD be? SHOW YOUR WORK. 2. Your summer was cut in half because of summer school. Cut all ingredients in half as well.
8
7 gallon
38
5 gallons
4
3 gallon
16
13 gallon
9
8 gallon
23
2 gallons
3. Write two word problems about your recipe that require subtraction of fractions or mixed numbers. Solve each problem.
Problem #1
Problem #2
4. Write two word problems about your recipe that require addition of fractions or mixed numbers. Solve each
problem.
Problem #1
Problem #2
5. Use the number line below to place all the ingredients in the correct positions.
6. You need to make five servings of Summer Fun. Assuming the recipe is originally for one serving, determine
the new amount of each ingredient required.
8
7 gallon
38
5 gallons
4
3 gallon
16
13 gallon
9
8 gallon
23
2 gallons
