Content Area: Math

 

Index: 4.3C Grade 6 CPI 1

 

Standard: 4.3 - Patterns and Algebra

 

Strand: C - Modeling

 

Cumulative Progress Indicator: 1 -  The student will use patterns, relations, and linear functions to model situations

·        Using variables to represent unknown quantities

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

 

Grade: 6

 

Sample Activities:

 

·        Students use calculators to study fractions whose decimal expressions repeat, and predict what digit is in any given place.

 

·        Students look at what happens when a ball is hit at an angle of 45 degrees on a rectangular pocket billiards table. They make a table that shows dimensions of various tables, initial positions of the ball, and which pocket, if any, the ball eventually goes into. They look for patterns which will help them predict which pocket the ball will go into for other situations.

 

·        Students work in groups to decide how to make a supermarket display of boxes of SuperCrunch cereal. The boss wants the boxes to be in a triangular display which is 10 boxes high and one box deep. Each box is 12 inches high and 8 inches wide. The students use patterns to help them decide how many boxes they would need and whether this is a practical way to display the cereal.

 

·        Students look at the fee structure for crossing a toll bridge near them, such as the Walt Whitman bridge into Pennsylvania or the George Washington bridge into New York, and use patterns to help them decide whether it makes sense for someone who works on the other side of the bridge for 12 days each month to buy a commuter sticker.