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Introduction: Let's make pumpkin pie for the whole class! Imagine making enough pie so that everyone could have a piece. How about enough pie to take one home. The only problem is that the recipe you have makes 1 pie at a time which only has 8 pieces.
Prior Knowledge: Background knowledge of fractions and multiplying fractions.
Grade Level: 2-7
Task: The students will take a basic pie recipe and will multiply a fractional amount to make enough for their class.
Resources:
Pumpkin Pie II <http://www.camellia.org/kitchen/pumpkin-pie.html>
Pumpkin Pie For All Worksheet
(HTML)
Pumpkin Pie For All Worksheet (PDF)
Process: First, students find the basic recipe for pumpkin pie.
Next, look at the ingredients and decide how many people are going to be eating and how many pies are needed. For example, if there are 28 students in class and the pies will each have 8 pieces, then approximately 4 pies are needed.
Have the student take each ingredient and multiply by 4 to enlarge the recipe.
Next, now the whole class wants their own pie to take home. Multiply all ingredients by 28.
Don't forget to make any necessary exchanges in measurements. For example, teaspoon quantities to tablespoons or cups to pints/quarts.
Learning Advice: Don't forget your weights and measures:
Evaluation: The students would be evaluated based on correct multiplication of fractions and correct conversion of measurements.
As a follow up activity, the students would follow a recipe correctly to make their own pie. Extensions: For higher grades, this lesson can be modified or added to. Present problems such as... you have 10 pies of 8 pieces each. There are 25 people who would like to share this pie equally. How many pieces does each person get?
Extensions:
Actually bake enough pies for everybody! We did!
Before cutting up pumpkins, estimate seeds inside and count after cutting. Which pumpkins have more seeds? Smaller ones or larger ones?
Convert this recipe into tablespoons only.
Convert this recipe into teaspoons only.
Find other online recipes to convert
Conclusion: Students will be familiar with basic fraction measurements.
California Mathematics Academic Standards:
Grade 2:
Number Sense
4.0 Students understand that fractions and decimals may refer to parts of a set and parts of a whole.4.2 recognize fractions of a whole and parts of a group (e.g., 1/4th of a pie, 2/3rds of 15 balls)Grade 3:
Number Sense
3.0 Students understand the relationship between whole numbers, simple fractions, and decimals.3.1 compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context (e.g., 1/2 of a pizza is the same amount as 2/4 of another pizza that is the same size; show that 3/8 is more than 1/8)Grade 4:
Mathematical Reasoning
3.0 Students move beyond a particular problem by generalizing to other situations.3.3 develop generalizations of the results obtained and apply them in other circumstancesGrade 5:
Number Sense
2.0 Students perform calculations and solve problems involving addition, subtraction, and simple multiplication and division of fractions and decimals.2.1 add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the result
2.4 understand the concept of multiplication and division of fractionsMathematical Reasoning
2.0 Students use strategies, skills and concepts in finding solutions.2.2 apply strategies and results from simpler problems to more complex problemsGrade 6:
Number Sense
2.0 Students calculate and solve problems involving addition, subtraction, multiplication, and division of rational numbers.2.1 solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situationMathematical Reasoning
2.0 Students use strategies, skills and concepts in finding solutions2.2 apply strategies and results from simpler problems to more complex problems3.0 Students move beyond a particular problem by generalizing to other situations.
3.2 note the method of deriving the solution and demonstrate conceptual understanding of the derivation by solving similar problemsGrade 7:
Number Sense
1.0 Students know the properties of, and compute with, rational numbers expressed in a variety of forms.1.2 add, subtract, multiply, and divide rational numbers (integers, fractions and terminating decimals) and take positive rational numbers to whole-number powersMeasurement and Geometry
1.0 Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems.1.1 compare weights, capacities, geometric measures, times, and temperatures within and between measurement systems (e.g., miles per hour and feet per second, cubic inches to cubic centimeters)Mathematical Reasoning
2.0 Students use strategies, skills, and concepts in finding solutions.2.2 apply strategies and results from simpler problems to more complex problems3.0 Students determine a solution is complete and move beyond a particular problem by generalizing to other situations.
3.2 note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems
NCTM K-4:
STANDARD 4: MATHEMATICAL CONNECTIONS
STANDARD 6: NUMBER SENSE AND NUMERATION
STANDARD 7: CONCEPTS OF WHOLE NUMBER OPERATIONS
STANDARD 8: WHOLE NUMBER COMPUTATION
STANDARD 10: MEASUREMENT
STANDARD 12: FRACTIONS AND DECIMALS
NCTM 5-8:
STANDARD 4: MATHEMATICAL CONNECTIONS
STANDARD 5: NUMBER AND NUMBER RELATIONSHIPS
STANDARD 6: NUMBER SYSTEMS AND NUMBER THEORY
STANDARD 13: MEASUREMENT
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