Square Roots Print Activity



Patterns Print Activity

Use the “Explore It” mode to answer the following questions:

1. Select .

a. The objects representing the pattern are _______.

b. Without changing the slider values, the expression for the pattern is __________.

c. In the expression, n denotes the .

d. Move the sliders to create the expression . .

i. When , the first term of the pattern is 2(__) + 3 = .

ii. When , the second term of the pattern is 2(__) + 3 = .

iii. The third term of the pattern is 2(__) + 3 = .

iv. The first 6 terms of the pattern are ____, ____, ____, ____, ____, ____.

v. Each successive term is found by adding _______ to the previous term.

(2/3/4)

vi. Following the pattern, the 12th term in the pattern would be _____.

2. Select and .

a. The objects representing the pattern are .

b. The first three terms of the pattern are ____, ____, ____.

c. Each term represents the ___________________ on the thermometer.

d. The 7th term in the pattern is _____.

e. Each successive term is found by subtracting ____ from the previous term.

3. Select and .

a. The first term is 4(___) + 1 = .

b. The second term is 4(___) + 1 = and it represents the number of __________

used to create the shape.

c. Use the diagram to answer the following:

i. This represents the term.

(2nd/3rd/4th)

ii. This term is found by using the expression 4(___) + 1 = .

iii. There are ____ total toothpicks in the diagram.

d. This pattern represents the first ____ terms and represents _____ total toothpicks in the diagram for this expression.

e. Each successive term is found by adding _____ to the previous term.

4. Select and .

a. The first term is 3(___) + 2 = .

b. The 3D object has a total of 6 sides but only ___ sides can be seen from all directions (above ground).

c. The 2nd term is 3(___) + 2 = and there are ___ sides that are exposed.

d. Use the diagram below to answer the following:

i. This represents the _____ term in the pattern.

ii. There are ____ sides exposed.

iii. The expression for the diagram is 3(___) + 2 = .

iv. Complete the next three terms of the pattern 26, 29, 32, ____, ____, ____.

.

5. Select and .

a. The first three terms are (____)2 + 0 = , (____)2 + 0 = , (____)2 + 0 = .

b. Use the diagram below to answer the following:

i. This diagram represents the ____ term and has rows.

ii. The corresponding expression is (____)2 + 0.

iii. The value of the expression is and represents how many

appear in the diagram.

c. The expression for the diagram below is (____)2 + .

d. The expression for the diagram below is (____)2 + .

.

6. Select and .

a. The first term is [pic] = 2(___)(___) = .

b. The second term of the pattern is [pic]= 2(___)(___) = .

c. The third term of the pattern is [pic]= 2(___)(___) = .

d. The first 6 terms of the pattern are ____, ____, ____, ____, ____, ____.

e. The difference between each successive term is increased by ______. (2/3/4)

f. Each term represents the total number of ________ in the diagram.

(cubes/faces)

8. Complete the following patterns:

a. 0, -2, -4, ____, ____, ____.

How did you determine the next terms?

b. 6, 11, 16, ____, ____, ____.

How did you determine the next terms?

c. 8, 14, 20, ____, ____, ____.

How did you determine the next terms?

d. 7, 10, 15, ____, ____, ____.

How did you determine the next terms?

e. 3, 9, 18, ____, ____, ____.

How did you determine the next terms?

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Name:

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