Getting to This Year with Math

(3) This activity (seen on the following page) is appropriate for seventh graders who are math proficient. (2, 10) It requires the (8) knowledge of correct order of operations, exponents, square roots, and also the operations of addition, subtraction, multiplication and division. (6) The class can be divided into pairs, small groups, or they can work individually on it. (9) Simply make a copy of the worksheet (see next page) and give one to each student to fill out. (12, 13) As an extension, you can ask the students to find answers up to 100, or you can have them use different years. This can be tied to a history or social studies course by having them find out interesting facts about the years they are given.

(7, 14) Some examples of what the students came up with when they were given this problem are the following:

(11) Ask the students to fill in the chart below using any mathematical processes they know, i.e. , , +, - , , exponents, etc. They may not, however, add any other numbers nor can they change the order of the numbers. For example, 1⁹⁹⁷ is equal to one, (1⁹)(9-7) is equal to two. This exercise requires the knowledge of correct order of operations. (1) There are many ways to come up with the solutions. (4, 5):

The Activity

(11) Ask the students to fill in the chart below using any mathematical processes they know, i.e. , , +, - , , exponents, etc. They may not, however, add any other numbers nor can they change the order of the numbers. For example, 1⁹⁹⁷ is equal to one, (1⁹)(9-7) is equal to two. This exercise requires the knowledge of correct order of operations. (1) There are many ways to come up with the solutions. (4, 5):