Shape Patterns
The pattern is: ○, △, ○, △, ○, __. What comes next?
△
Continue: 5, 10, 15, 20, __.
25; rule = add 5
Is 13 prime or composite?
Prime
Name one factor of 12.
1, 2, 3, 4, 6, or 12
A picture graph shows 4 stars. Each star represents 2 students. How many students are represented?
8 students
Pattern: □, ○, ○, □, ○, ○, □, __, __. What are the next two shapes?
○, ○
Input 4 → Output 12; Input 5 → Output 15; Input 6 → Output __. What is the output and rule?
18; multiply by 3
Is 27 prime or composite? Give a factor pair to prove it.
Composite; 3 × 9
Is 30 a factor or a multiple of 6?
Multiple; 6 × 5 = 30
A picture graph uses ● = 3 students. Soccer has 5 circles. How many students chose soccer?
15 students
Term 1 has 3 circles, Term 2 has 6 circles, and Term 3 has 9 circles. How many circles will Term 5 have?
15 circles
Continue: 42, 48, 54, 60, __, __. State the rule.
66, 72; add 6
Classify all three: 17, 25, 31.
17 prime; 25 composite; 31 prime
Give all the factor pairs of 24.
1×24, 2×12, 3×8, 4×6
Each ★ represents 4 students. Math has 6 stars and Science has 3 stars. How many more students chose Math than Science?
12 more students
A growing pattern has 4 shapes in Term 1, 8 in Term 2, 12 in Term 3, and 16 in Term 4. What rule could you use to find the number of shapes in any term?
Multiply the term number by 4
Input 250 → Output 215; Input 225 → Output 190; Input 200 → Output 165. What is the rule? What is the output for 150?
Subtract 35; 115
Which numbers are composite: 29, 35, 41, 49? Give factor pairs for the composite numbers.
5×7 = 35 and 7×7 = 49
Which numbers are multiples of BOTH 6 and 8: 24, 30, 48, 56, 72
24, 48, 72
A picture graph has a key of ◆ = 5 students. Reading has 7 diamonds and Science has 4 diamonds. How many students chose the two subjects altogether?
A: 55 students
Term 1 has 5 dots, Term 2 has 10, and Term 3 has 15. Without drawing all the terms, how many dots will be in Term 100? Explain the rule.
500 dots; multiply the term number by 5
Start at 7 and add 6 each time. Write the first 6 terms. How many of those terms are odd?
7, 13, 19, 25, 31, 37; all 6 are odd
A student says, “51 is prime because it is odd.” Is the student correct? Prove your answer.
No. 51 is composite because 3×17=51
Sort these numbers: 24, 30, 40, 48, 54, 64, 72. Which are multiples of 6 ONLY, multiples of 8 ONLY, and multiples of BOTH 6 and 8?
6 only: 30, 54
8 only: 40, 64
Both: 24, 48, 72
Each ● represents 3 students. Dogs have 5 circles, cats have 3 circles, and birds have 4 circles. How many fewer students chose cats than dogs and birds combined?
Dogs 15 + Birds 12 = 27Cats = 9; 27−9 = 18 fewer