Donut Shopping
Donuts are sold in packages of 3, 5, and 8. If there are 24 students in your class, how many ways can you buy donuts so that every student receives one donut, and there are no donuts left over?
If the price for each package is as follows:
3 donuts = $1.00, 5 donuts = $1.50, 8 donuts = $2.25, which combination of packages is the best purchase? Why? Write a number sentence to show your calculations and an explanation of why you decided on that purchase.
Possible Extensions:
What if donuts were sold in packages of 2, 5, and 7? How many different ways could you buy exactly 24 donuts?
What if there were 34 students in your class?
| GPS | As seen in problem exploration |
M3N2. Students will further develop their skills of addition and subtraction and apply them in problem solving . c. Solve problems requiring addition and subtraction. |
Students must add up the numbers 3, 5 and 8 to reach the number 24. |
M3N3. Students will further develop their understanding of multiplication of whole numbers and develop the ability to apply it in problem solving. g. Solve problems requiring multiplication. |
Students use their multiplication skills when calculating the price of purchasing the donuts. |
M3A1. Students will use mathematical expressions to represent relationships between quantities and interpret given expressions. |
Students work with the numbers 3, 5 and 8 to reach the number 24. Students determine the cheapest combination of donut packages. |
M4N5. Students will further develop their understanding of the meaning of decimal fractions and use them in computations. c. Add and subtract both one and two digit decimal fractions. d. Model multiplication and division of decimal fractions by whole numbers. e. Multiply and divide both one and two digit decimal fractions by whole numbers. |
Students work with decimals to calculate the price of purchasing 24 dounuts. |
M4N7. Students will explain and use properties of the four arithmetic operations to solve and check problems. a. Describe situations in which the four operations may be used and the relationships among them. |
Students are working with addition and multiplication to solve this investigation. |
M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. c. Write and evaluate mathematical expressions using symbols and different values. |
Students work with the numbers 3, 5 and 8 to reach the number 24. Students determine the cheapest combination of donut packages. |
M5N3. Students will further develop their understanding of the meaning of multiplication and division with decimal fractions and use them. c. Multiply and divide with decimal fractions including decimal fractions less than one and greater than one. d. Understand the relationships and rules for multiplication and division of whole numbers also apply to decimal fractions. |
Students work with decimals to calculate the price of purchasing 24 dounuts. |