Lesson 9 — Activity 1:

Using Formulas and Patterns in Everyday Contexts

Using formulas and patterns are important skills to have, and you will use these skills in your everyday life.

For example, you want to invite some friends over to watch the game. You want to make sure you have lots of food, and you know it is going to cost $12 per person. You only have a budget of $100, so you are not sure if you can invite 6 friends or 8 friends over to watch the game. You could create a formula to help figure it out!

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Let's use the following formula:

Cost (C) = 12 x number of friends invited (F)

For 6 friends:	For 8 friends:
C = 12 x F C = 12 x 6 C = $72	C = 12 x F C = 12 x 8 C = $96

It will cost $72 to invite 6 friends and $96 to invite 8 friends to watch the game. Because you have $100 to spend, you can invite all 8 friends to your party!

Using a Formula to Find Circumference

Whether you're doing craftwork, putting fencing around your hot tub, or just solving a math problem for school, knowing how to find the circumference of a circle will come in handy in a variety of circle-related problems.

Image Source: Pixabay

So what is circumference?

You may remember that the distance around a rectangle or a square is called the perimeter.

The distance around a circle, on the other hand, is called the circumference.

Image Source: Wikimedia Commons

they called pi (π) to the distance around the circle (circumference).

Did you know?

An amazing property of circles is that regardless of the size, if you divide the circumference of a circle by its diameter you always get the same answer. This number is given its own symbol, π, the Greek letter pi.

To find the circumference of a circle, use the following formula:

C = πd

Circumference = π x diameter

Pi has a constant value that is approximately 3.14. In the example that follows, you will learn to find the pattern in the circumference of a circle.

Patterns in Circumference

If the diameter is 1 cm, the circumference can be found using the formula:

C = πd
C = 3.14 × 1 cm
C = 3.14 cm

If the diameter is 2 cm, the circumference is …

C = πd = 3.14 × 2 cm = 6.28 cm

If the diameter is 3 cm, the circumference is …

C = πd = 3.14 × 3 cm = 9.42 cm

This pattern can also be represented in a table .

Try this!

Answer this question on your own first.

When you are finished, click on the tab below to check your answer!

A farmer needs to know the circumference of his round granary. His measuring tape will not go around the granary, but it will go across the middle. The measure is 550 cm. What is the circumference?

Image Source: Pixabay

Lesson 9 — Activity 1: Using Formulas and Patterns in Everyday Contexts

Lesson 9 — Activity 1:

Using Formulas and Patterns in Everyday Contexts

Using formulas and patterns are important skills to have, and you will use these skills in your everyday life.

Let's use the following formula:

Cost (C) = 12 x number of friends invited (F)

For 6 friends:

For 8 friends:

C = 12 x F
C = 12 x 6
C = $72

C = 12 x F
C = 12 x 8
C = $96

It will cost $72 to invite 6 friends and $96 to invite 8 friends to watch the game. Because you have $100 to spend, you can invite all 8 friends to your party!

Using a Formula to Find Circumference

Whether you're doing craftwork, putting fencing around your hot tub, or just solving a math problem for school, knowing how to find the circumference of a circle will come in handy in a variety of circle-related problems.

So what is circumference?

You may remember that the distance around a rectangle or a square is called the perimeter.

The distance around a circle, on the other hand, is called the circumference.

they called pi (π) to the distance around the circle (circumference).

Did you know?

An amazing property of circles is that regardless of the size, if you divide the circumference of a circle by its diameter you always get the same answer. This number is given its own symbol, π, the Greek letter pi.

To find the circumference of a circle, use the following formula:

C = πd

Circumference = π x diameter

Pi has a constant value that is approximately 3.14. In the example that follows, you will learn to find the pattern in the circumference of a circle.

C = πd

Circumference = π x diameter

This pattern can also be represented in a table .

Self-check!

Try this!

Answer this question on your own first.

When you are finished, click on the tab below to check your answer!

A farmer needs to know the circumference of his round granary. His measuring tape will not go around the granary, but it will go across the middle. The measure is 550 cm. What is the circumference?

Click here to check your answer!

Extra Practice!

Click here to download extra practice questions!

Complete the questions, and click on the link below to check your answers!

Click here to check your answers!