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 4s 4 = b 9 x 4 = 36 – s + (s 1) + (s 1) + (s 2) = b 10 + 10 + 8 + 8 = 36 – – – 4(s 2) + 4 = b 10 + 9 + 9 + 8 = 36 – 4(s 1) = b 10 x 4 4 = 36 – – s2 (s 2)2 = b 8 x 4 + 4 = 36 – – s + s + (s 2) + (s 2) = b 100 64 = 36 – – – How would you describe each of the six formulas?
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 4s – 4 = b 9 x 4 = 36 s + (s – 1) + (s – 1) + (s – 2) = b 10 + 10 + 8 + 8 = 36 4(s – 2) + 4 = b 10 + 9 + 9 + 8 = 36 4(s – 1) = b 10 x 4 – 4 = 36 s2 – (s – 2)2 = b 8 x 4 + 4 = 36 s + s + (s – 2) + (s – 2) = b 100 – 64 = 36 How would you describe each of the six formulas?