Area and circumference of circles challenge

Negative numbers: addition and subtraction

Intro to adding negative numbers

3 Topics
|
3 Quizzes
Intro to subtracting negative numbers

2 Topics
|
2 Quizzes
1. Adding & subtracting negative numbers
  1. Understand subtraction as adding the opposite
2. Subtracting a negative = adding a positive
  1. Subtracting negative numbers
Adding & subtracting with negatives on the number line

3 Topics
|
3 Quizzes
Adding & subtracting integers

3 Topics
|
2 Quizzes
Adding & subtracting negative fractions

2 Topics
|
1 Quiz
1. Adding fractions with different signs
2. Adding & subtracting fractions
  1. Adding & subtracting negative fractions
Addition & subtraction word problems with negatives

3 Topics
|
2 Quizzes
- Negative number addition and subtraction: word problems
Absolute value

2 Topics
|
1 Quiz
1. Absolute value as distance between numbers
2. Interpreting absolute value as distance
- Absolute value to find distance
Properties of addition & subtraction

1 Topic
|
2 Quizzes
1. Equivalent expressions with negative numbers
  1. Equivalent expressions with negative numbers
- Equivalent expressions with negative numbers and variables
Adding & subtracting negative numbers: variables

2 Topics
|
3 Quizzes
1. Substitution with negative numbers
  1. Substitution with negative numbers
2. Ordering expressions
  1. Ordering negative number expressions
  2. One-step equations with negatives (add & subtract)
Negative numbers: multiplication and division

Multiply & divide negative numbers

4 Topics
|
4 Quizzes
Multiplication & division word problems with negatives

1 Topic
|
1 Quiz
1. Multiplication & division word problems with negatives
- Multiplying & dividing negative numbers word problem
Understanding multiplying and dividing fractions

2 Topics
|
2 Quizzes
1. Negative signs in fractions
2. Expressions with rational numbers
- Negative signs in fractions
- Negative signs in fractions (with variables)
Multiply & divide negative fractions

3 Topics
|
2 Quizzes
- Multiplying positive and negative fractions
- Dividing positive and negative fractions
Order of operations

3 Topics
|
1 Quiz
- Order of operations with negative numbers
Properties of multiplication & division

1 Topic
|
1 Quiz
1. Equivalent expressions with negative numbers (multiplication and division)
- Equivalent expressions with negative numbers (multiplication and division)
Fractions, decimals, & percentages

Converting fractions to decimals

4 Topics
|
3 Quizzes
Adding & subtracting rational numbers

3 Topics
|
2 Quizzes
- Order rational numbers
- Adding & subtracting rational numbers
Percent word problems

4 Topics
|
4 Quizzes
Rational number word problems

7 Topics
|
1 Quiz
- Rational number word problems
Rates & proportional relationships

Rate problems with fractions

1 Topic
1. Rates with fractions
Constant of proportionality

7 Topics
|
4 Quizzes
Compare and interpret constants of proportionality

3 Topics
|
3 Quizzes
Identifying proportional relationships

7 Topics
|
2 Quizzes
- Identify proportional relationships
- Proportional relationships
Graphs of proportional relationships

3 Topics
|
2 Quizzes
- Identify proportional relationships from graphs
- Interpreting graphs of proportional relationships
Writing & solving proportions

4 Topics
|
3 Quizzes
Equations of proportional relationships

3 Topics
|
2 Quizzes
- Writing proportional equations from tables
- Writing proportional equations
Expressions, equations, & inequalities

Combining like terms

4 Topics
|
2 Quizzes
- Combining like terms with negative coefficients
- Combining like terms with negative coefficients & distribution
The distributive property & equivalent expressions

3 Topics
|
2 Quizzes
- Distributive property with variables (negative numbers)
- Equivalent expressions: negative numbers & distribution
Interpreting linear expressions

3 Topics
|
2 Quizzes
- Interpreting linear expressions
- Writing expressions word problems
Two-step equations intro

4 Topics
|
1 Quiz
- Two-step equations
Two-step equations with decimals and fractions

3 Topics
|
2 Quizzes
- Two-step equations with decimals and fractions
- Find the mistake: two-step equations
Two-step equation word problems

5 Topics
|
2 Quizzes
- Interpret two-step equation word problems
- Two-step equations word problems
One-step inequalities

5 Topics
|
4 Quizzes
Two-step inequalities

3 Topics
|
2 Quizzes
- Two-step inequalities
- Two-step inequality word problems
Geometry

Area and circumference of circles

6 Topics
|
4 Quizzes
Area and circumference challenge problems

3 Topics
|
3 Quizzes
Vertical, complementary, and supplementary angles

3 Topics
|
6 Quizzes
Missing angle problems

5 Topics
|
3 Quizzes
Constructing triangles

3 Topics
|
1 Quiz
- Triangle side length rules
Slicing geometric shapes

1 Topic
|
1 Quiz
1. Slicing a rectangular pyramid
- Cross sections of 3D objects (basic)
Scale copies

7 Topics
|
6 Quizzes
Scale drawings

7 Topics
|
3 Quizzes
Volume and surface area word problems

3 Topics
|
1 Quiz
- Volume and surface area word problems
Statistics and probability

Basic probability

5 Topics
|
3 Quizzes
Probability models

3 Topics
|
2 Quizzes
- Making predictions with probability
- Probability models
Compound events and sample spaces

5 Topics
|
3 Quizzes
Comparing and sampling populations

2 Topics
|
3 Quizzes
1. Reasonable samples
2. Comparing distributions with dot plots (example problem)

Math 7th grade

Area and circumference of circles challenge

Quiz Summary

Information

Results

Results

Categories

1. Question

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\ cm.

What is the area A of the circular cross section of this pipe?

Choose 1 answer:

2. Question

The planet Neptune orbits the Sun. Its orbital radius is 30.1 astronomical units \left(AU\right).

Assuming Neptune’s orbit is circular, what is the distance it travels in a single orbit around the Sun?

Choose 1 answer:

3. Question

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18\pi meters.

What is the area A of the cross section of the column?

Choose 1 answer:

4. Question

The circumference of a hula hoop is 86\pi\ cm.

What is the radius of the hula hoop?

cm

5. Question

An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is 24\pi\ inches. The artist plans to fill the inside of each dot with blue colored glass.

What is the area of the blue glass will be needed to fill each butterfly dot?

Choose 1 answer:

6. Question

A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6\ feet.

What is the area A of the table after it is cut in half ?

Choose 1 answer:

7. Question

A round cake has a diameter of 30\ cm. Angela places the cake on a circular cake board with a diameter 5\ cm longer than that of the cake.

What is the circumference of the cake board?

Choose 1 answer:

8. Question

The area of an extra large circular pizza from Gambino’s Pizzeria is 484\pi\ cm^2.

What is the diameter of an extra large pizza from Gambino’s Pizzeria?

cm

9. Question

A baker uses a coffee mug with a diameter of 8\ cm to cut out circular cookies from a big sheet of cookie dough.

What is the area A of each cookie?

Choose 1 answer:

10. Question

You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don’t want to have to swim across with a measuring tape! You decide to walk around the perimeter of the lake and measure its circumference, and find that it’s 400\pi\ m.

What is the diameter d of the lake?

m

11. Question

The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers.

Assuming the rope makes a perfect circle, what is the length of this rope?

Choose 1 answer:

12. Question

A sumo wrestling ring is circular and has a circumference of 4.6\pi\ meters.

What is the area A of the sumo wrestling ring in square meters?

Choose 1 answer:

13. Question

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6\pi pi meters long.

What is the radius r of the circle that the python forms?

r= m

14. Question

A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters.

What is the area A of each section of the circle?

Choose 1 answer:

15. Question

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20\ meters. One penguin swims half way around the island before hopping out.

How far did the penguin swim?

Choose 1 answer:

An engineer is planning a new water pipe installation. The circular pipe has a diameter of $d=20\ cm$ .

What is the area $A$ of the circular cross section of this pipe?

Choose $1$ answer:

The planet Neptune orbits the Sun. Its orbital radius is $30.1$ astronomical units $\left(AU\right)$ .

Choose $1$ answer:

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is $18\pi$ meters.

What is the area $A$ of the cross section of the column?

Choose $1$ answer:

The circumference of a hula hoop is $86\pi\ cm$ .

$cm$

An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is $24\pi\ inches$ . The artist plans to fill the inside of each dot with blue colored glass.

Choose $1$ answer:

A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is $6\ feet$ .

What is the area $A$ of the table after it is cut in half ?

Choose $1$ answer:

A round cake has a diameter of $30\ cm$ . Angela places the cake on a circular cake board with a diameter $5\ cm$ longer than that of the cake.

Choose $1$ answer:

The area of an extra large circular pizza from Gambino’s Pizzeria is $484\pi\ cm^2$ .

$cm$

A baker uses a coffee mug with a diameter of $8\ cm$ to cut out circular cookies from a big sheet of cookie dough.

What is the area $A$ of each cookie?

Choose $1$ answer:

You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don’t want to have to swim across with a measuring tape! You decide to walk around the perimeter of the lake and measure its circumference, and find that it’s $400\pi\ m$ .

What is the diameter $d$ of the lake?

$m$

The figure below shows a rope that circles the Earth. The radius of the Earth is $6371$ kilometers.

Choose $1$ answer:

A sumo wrestling ring is circular and has a circumference of $4.6\pi\ meters$ .

What is the area $A$ of the sumo wrestling ring in square meters?

Choose $1$ answer:

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is $2.6\pi$ pi meters long.

What is the radius $r$ of the circle that the python forms?

$r=$ $m$

A park has a large circle painted in the middle of the playground area. The circle is divided into $4$ equal sections, and each section is painted a different color. The radius of the circle is $10 meters$ .

What is the area $A$ of each section of the circle?

Choose $1$ answer:

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is $20\ meters$ . One penguin swims half way around the island before hopping out.

Choose $1$ answer: