Write down a description of any patterns that you observe as the grids increase in size. (To the Teacher: Does anyone have an idea to explain the pattern?) Suppose you have a grid that’s not listed on this chart. What would you do to figure out how many squares are in the blue border? (To the Teacher: Would it work for any size grid?) If s represents how many squares are on a side of any grid, how might you represent the number of squares on the blue border? Number of squares Number of blue on a side, s squares on the border 3 8 4 12 5 16 6 20 7 24 8 28 9 32 10 36 S Activity 2: Matching Equations Can you match each of the following six formulas with the six numerical representations different students used to calculate squares in the blue border of the 10 by 10 grid? s represents the number of squares on a side and b represents the number of blue squares around the border. Formulas Numerical Representations
Write down a description of any patterns that you observe as the grids increase in size. (To the Teacher: Does anyone have an idea to explain the pattern?) Suppose you have a grid that’s not listed on this chart. What would you do to figure out how many squares are in the blue border? (To the Teacher: Would it work for any size grid?) If s represents how many squares are on a side of any grid, how might you represent the number of squares on the blue border? Number of squares on a side, s Number of blue squares on the border 3 8 4 12 5 16 6 20 7 24 8 28 9 32 10 36 S Activity 2: Matching Equations Can you match each of the following six formulas with the six numerical representations different students used to calculate squares in the blue border of the 10 by 10 grid? s represents the number of squares on a side and b represents the number of blue squares around the border. Formulas Numerical Representations
BridgingToAlgebra-Nate1.docx