| Patterns and Algebra/Relations I | Sort, concretely, and pictorially, using two or more attributes. Use objects and concrete models to explain the rule for a pattern, such as those found on addition and multiplication charts. Make predictions based on addition and multiplication patterns. |
1. Sort these numbers on the Venn diagram: 3, 5, 6, 7, 8, 10, 14, 15, 20
Use your Venn diagram to answer questions A and B.
A. Which numbers go in area B?
A. 5, 7, 10 C. 5, 10, 15, 20
B. 3, 6, 15 D. 10, 20
B. Which numbers go in area D?
A. 5, 8, 10 C. 3, 7
B. 10, 15, 20 D. 10, 20
2. Sort these numbers on the Venn diagram.
10, 24, 25, 30, 41, 45, 50, 54, 65, 75, 86, 100
Use your diagram to answer questions A to C.
A. Which numbers belong in the intersection?
B. Which number(s) do not belong inside the circles of the the Venn Diagram?
C. Which numbers are even but not a multiple of 5?
3. Sort these numbers on the Venn diagram:
2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 17, 18, 27
Use your Venn diagram to answer questions A and B.
A. Which numbers are odd, but not a multiple of 3?
B. Which numbers are a multiple of 3, but not odd?
4. Sort these numbers on the Venn diagram:
2, 3, 4, 5, 6, 7, 8, 10, 14, 15, 20, 21, 25, 30
Use your Venn diagram to answer questions A and B.
A. Which numbers belong in the intersection?
B. Which numbers have neither attribute?
1. Look at the growing pattern shown below.
...
If the pattern continues, what is the next shape? Circle the correct answer.
2. What is the missing number in the table shown below?
A. 13 C. 16
B. 14 D. 24
3. Look at the number sentences below.
0 + 2
2 + 4
4 + 6
If this pattern continues, what will be the next number sentence?
A. 6 + 6 C. 4 + 7
B. 6 + 8 D. 4 + 4
4. Look at the pattern shown below.
...
If this pattern continues, what is the next shape?
5. What is the missing number in the chart below?
A. 18 C. 22
B. 20 D. 24
1. Look at the patterns shown below and draw the next 2 pictures if the pattern was to continue.
...
2. Missing Numbers
A. What are the missing numbers in the table shown above?
B. Show how you got these numbers?
3. Look at the equations shown below.
0 + 2
2 + 4
4 + 6
If this pattern continues, what will be the next 3 equations?
4. Look at the pattern shown below.
...
Draw the next 2 figures if this pattern was to continue.
5. Missing Numbers
A. What are the missing numbers in the chart above?
B. Show how you got these numbers.
1. What are the next 3 numbers in this pattern?
3, 6, 9, ___, ___, ___ ...
A. 12, 15, 18 C. 15, 20, 35
B. 12, 22, 32 D. 18, 27, 36
2. What will be the tenth number in this pattern?
17, 19, 21, 23, 25, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___ ...
A. 48 C. 172
B. 35 D. 57
3. What will be the tenth number in this pattern?
95, 90, 85, 80, 75, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___ ...
A. 50 C. 22
B. 20 D. 48
4. What are the first three numbers in this pattern?
___, ___, ___, 7, 5, 8, 6, 9,...
A. 1, 2, 4 C. 3, 6, 4
B. 1, 3, 6 D. 0, 2, 4
1. What are the next 3 numbers in this pattern? Show how you determined each number.
4, 8, 12, ___, ___, ___ ...
2. Complete the numbers in this pattern. Show how you determined each number.
7, 9, 14, 16, 21, ___, ___, ___, ___, ...
3. What will be the next 4 numbers in this pattern? Show how you determined each number.
3, 6, 4, 8, 6, 12, ___, ___, ___, ___ ...
4. What are the first three numbers in this pattern? Show how you determined each number.
___, ___, ___, 8, 16, 18, 36, 38, ...
5. A mail carrier walks down a street. The first 3 house numbers are 312, 316, and 320. If he goes to the seventh, eighth, and ninth houses on this street, what will be the numbers on the houses?
6. There are 15 houses on a street and the houses are numbered from least to greatest. If the numbers on the last houses are 408, and 416, what are the numbers of the first 12 houses. Show how you determined each number.
Repeating Pattern Problems - A.
Circle the correct answer.
2.
If the pattern continues to 25, how many green triangles will there be?
a. 2 b. 6 c. 10 d. 15
Repeating Pattern Problems - B.
Write your answer.
