Content Area: Math

 

Index: 4.3C Grade 5 CPI 1

 

Standard: 4.3 - Patterns and Algebra

 

Strand: C - Modeling

 

Cumulative Progress Indicator: 1 -  The student will use number sentences to model situations

·        Using variables to represent unknown quantities

·        Using concrete materials, tables, graphs, verbal rules, algebraic expressions/equations

 

Grade: 5

 

Sample Activities:

 

·        Students look for as many different ways to make change for 50 cents as they can find. They make a table showing their results listed in an organized fashion and explain why they think they have found all of the possibilities.

 

·        Students investigate what happens when they do arithmetic on a 12-hour clock. They find that 3 + 11 = 2 and that 4 - 6 = 10. They understand that 5, 17, and 29 are all equivalent to 5, and connect this to the remainder obtained when dividing each by 12.

 

·        Students develop a patchwork quilt design using squares and isosceles right triangles to make a 12 inch by 12 inch patch. They use patterns to help them decide how many pieces of each size are needed in order to complete a 3 foot by 5 foot quilt.

 

·        Students are given the following open-ended assessment problem: Who will win the 100 meter race between Pat and his older sister, Terry? Pat runs at an average of 3 meters per second, while Terry runs at an average of 5 meters per second. Since Pat is slower, he gets a 25-meter head start. Use a table or a graph to help you find out who will be the winner. Then write an explanation of how you solved the problem and explain what head-start you think Pat should have.

 

·        Additional Framework Activities