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Math Practice U5 L1

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Function of the Day:
The area of a square closet is 9 𝑓𝑡^ 2 .
What is the perimeter of the closet?

What do you know?

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Vocabulary Terms - Define/Illustrate

Perfect Square
Perfect Cube
Meaning of Pi

5 Problems - SHOW ALL WORK!

Use the number line below and place all perfect squares on top of the number line above or below using a text box. 1 has been done for you.


___ ___ ___ ___ ___ ___ ___ ___

Place the following letters on their approximate place on the number line above by inserting a text box.

62
84
23
34
54
12
77
45
Write a statement comparing 4 and 8 Use a numberline to help. Justify your answer.



Between which two perfect squares does 51 fall? Justify your answer. Use a numberline to help.

What is the difference between a perfect square and a perfect cube? Show a visual representation of both.


What do I need help with?

1 answer

Function of the Day:

The area of a square closet is \( 9 , \text{ft}^2 \). What is the perimeter of the closet?

To find the perimeter of the closet, we first need to find the length of one side of the square.

  1. Area of a square formula: \[ \text{Area} = \text{side}^2 \]

  2. Given that the area is \( 9 , \text{ft}^2 \): \[ \text{side}^2 = 9 \] \[ \text{side} = \sqrt{9} = 3 , \text{ft} \]

  3. Perimeter of a square formula: \[ \text{Perimeter} = 4 \times \text{side} \] \[ \text{Perimeter} = 4 \times 3 , \text{ft} = 12 , \text{ft} \]

Thus, the perimeter of the closet is 12 ft.

What do you know?

  1. Area is \( \text{length} \times \text{width} \).
  2. A square has equal sides.
  3. The perimeter is the total distance around a shape.
  4. The square root of a number gives the side length when the area is given.
  5. The area of the square closet is \( 9 , \text{ft}^2 \).
  6. The side length of the square closet is \( 3 , \text{ft} \).
  7. The formula for perimeter of a square is \( 4 \times \text{side} \).
  8. Pi (\(\pi\)) is approximately \( 3.14 \).
  9. A perfect square is a number that can be expressed as the square of an integer.
  10. A perfect cube is a number that can be expressed as the cube of an integer.

Vocabulary Terms - Define/Illustrate

  1. Perfect Square: A number that is the square of an integer (e.g., \( 1, 4, 9, 16 \)).

    • Illustration: \( 3^2 = 9 \)

  2. Perfect Cube: A number that is the cube of an integer (e.g., \( 1, 8, 27, 64 \)).

    • Illustration: \( 2^3 = 8 \)

  3. Meaning of Pi (\(\pi\)): The ratio of the circumference of a circle to its diameter, approximately equal to \( 3.14 \).

5 Problems - SHOW ALL WORK!

  1. Perfect Squares on a Number Line:

    • Perfect squares below 100: \( 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 \)
    • Number line would look like this with perfect squares placed appropriately.

  2. Place the following letters on their approximate place on the number line:

    • \( 62, 84, 23, 34, 54, 12, 77, 45 \)
    • Diagram with placements would be based accordingly.

  3. Statement comparing 4 and 8:

    • \( 4 < 8 \) - On the number line, 4 is to the left of 8 which indicates that 4 is less than 8.

  4. Between which two perfect squares does 51 fall?

    • The perfect squares \( 49 (7^2) \) and \( 64 (8^2) \) show that \( 49 < 51 < 64 \).

  5. Difference between a perfect square and a perfect cube:

    • Perfect squares are numbers like \( 4, 9, 16 \) (squares of integers).
    • Perfect cubes are numbers like \( 8, 27, 64 \) (cubes of integers).
    • Visual: Diagram representing a square and a cube, with labeled sides.

What do I need help with?

Feel free to ask any specific questions regarding problems or concepts you are struggling with!