Question
Math Practice U5 L1
Unit 5 Math Practice Links - Click here
Live Lesson Recording
*Passcode can be found on the Connexus Pushpin under your Math Class! Use the one for Mrs. Garcia!
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?
Unit 5 Math Practice Links - Click here
Live Lesson Recording
*Passcode can be found on the Connexus Pushpin under your Math Class! Use the one for Mrs. Garcia!
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?
Answers
GPT-4o mini
### 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!
**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!