Just a Few Cents Short
Wendy needs 50 more cents in order to buy lunch at school. She goes into her mother's coin jar to get the money she needs. If the jar only contains nickels, dimes and quarters, how many different ways can she make 50 cents?
How many different ways would there be if there were also pennies in the coin jar?
| 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 will work with adding up the values of coins to complete this investigation. |
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 multiplicaton to determine how much money they already have, as well as what coins are needed in order to purchase lunch. |
M3A1. Students will use mathematical expressions to represent relationships between quantities and interpret given expressions. |
Students determine all of the possible combinations of coins that they could use to pay for their lunch. |
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 multiply the value of coins by the number of coins e.g. 2 nickels is 0.05 * 2 = 0.10 |
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 determine all of the possible combinations of coins that they could use to pay for their lunch. |
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 multiply the value of coins by the number of coins e.g. 2 nickels is 0.05 * 2 = 0.10 |