Next, find information:
For part d), I see figures made of squares:
- Figure 1: 3 squares (arranged in a 1×3 vertical column)
- Figure 2: 6 squares (arranged in a 2×3 grid)
- Figure 3: 9 squares (arranged in a 3×3 grid)
The pattern is increasing by 3 squares each time. This is an arithmetic sequence with a common difference of 3.
For Figure n, the number of squares = 3n.
- Figure 1: 3 × 1 = 3 squares
- Figure 2: 3 × 2 = 6 squares
- Figure 3: 3 × 3 = 9 squares
Therefore, for Figure 6: 3 × 6 = 18 squares.
Now I have all the answers for each part.
Final Answer:
a) For Figure 6, there are
12 shapes (squares).
b) For Figure 6, there are
24 shapes (triangles).
c) For Figure 6, there are
24 shapes (triangles).
d) For Figure 6, there are
18 shapes (squares).
The patterns for each part are:
- a) Arithmetic sequence with common difference of 2: Number of shapes = 2n
- b) Arithmetic sequence with common difference of 4: Number of shapes = 4n
- c) Arithmetic sequence with common difference of 4: Number of shapes = 4n
- d) Arithmetic sequence with common difference of 3: Number of shapes = 3n
Where n is the figure number.
Parent Tip: Review the logic above to help your child master the concept of patterns tables worksheet.
