# Resource 3: Examples of S-cards and G-cards

Table R3.1 Examples of S-cards and G-cards.

S-card (specialising) G-card (generalising) Generalisation is always true (A), sometimes true (S) or false (F)
(3 × 2) × 4 = 3 × (2 × 4) The product of three numbers remains the same whichever two numbers are multiplied first A
12 ÷ 3 = (12 ÷ 4) + 1 ab/b = ab/a + (a – b) A
12 + 20 = 4 × 8 ab + bc = b(a + c) A
2 × 4 + 3 × 4 = 4 × 5 a(a + 2) + (a + 1)(a + 2) = (a + 2)(a + 3) S
2 × 12 = (2 × 1)2 Two times a squared number is equal to two times that number squared S
4 + 16 – 8 = 8 + 8 – 4 4 + 4(a – 2) = 2a + 2(a – 2) S
4 + 4 × 1 = 6 + 1 + 1 4 + 4(a –2) = 3(a – 1) + (a – 2) + 1 A
3 + 2 + 1 = 3 × 2 × 1 The sum of three consecutive numbers is the same as the product of those numbers S
4 + (6 ÷ 2) = 4 + 3 a + bc/c = a + b A
461 + 200 = 200 + 461 If you add two numbers together you can change the order and you still get the same answer A
7 × 4 = 9 × 7 – 5 × 7 c(a – b) = ac – bc A

Resource 2: Examples of statements for use in Activity 2

Resource 4: Use of S-cards and G-cards