Proportional relationships

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

Quiz Summary

Information

Results

Results

Categories

1. Question

Mumbai is approximately 845 kilometers \left(km\right) away from Bangalore, and Mumbai is approximately 1160 km away from Delhi. The distances, measured in centimeters \left(cm\right), between the cities on Allyson’s map are proportional to the real distances.

Which of the following could be the distances on Allyson’s map?

Choose 3 answers:

2. Question

Maël mixes 15 milliliters \left(mL\right) of bleach with 3.75 liters \left(L\right) of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.

Which of the following could be combinations of volumes of bleach and water for Maël’s sanitizing solution?

Choose 3 answers:

3. Question

The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.

A row of values is missing in the table.

Which numbers of pounds of bananas and total costs of the bananas could be used as the missing values in the table?

Choose 3 answers:

4. Question

A park has a 3 meter \left(m\right) tall tether ball pole and a 6.8\ m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers:

5. Question

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School.

Which of the following could be the numbers of left-handed and right-handed students at West Junior High?

Choose 2 answers:

6. Question

The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points

A row of values is missing in the table.Which numbers of stars and total points could be used as the missing values in the table?

Choose 3 answers:

7. Question

Triangle A has a height of 2.5\ cm and a base of 1.6\ cm. The height and base of triangle B are proportional to the height and base of triangle A.

Which of the following could be the height and base of triangle B?

Choose 3 answers:

8. Question

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students.

Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires?

Choose 2 answers:

9. Question

The table shows a proportional relationship between the milliliters \left(mL\right) of red paint and milliliters of yellow paint to make a certain shade of orange.

A row of values is missing in the table.

Which of the following mixtures of paint could be used as the missing values in the table?

Choose 2 answers:

10. Question

Rectangle A has side lengths of 6\ cm and 3.5\ cm. The side lengths of rectangle B are proportional to the side lengths of rectangle A.

What could be the side lengths of rectangle B?

Choose 2 answers:

11. Question

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is \$350.

Which of the following could be combinations of values for the plumber’s work hours and total work fee she charges?

Choose 3 answers:

12. Question

The table shows a proportional relationship between the mass, in kilograms\left(kg\right), of a dog and the milliliters \left(mL\right) of flea medicine a veterinarian prescribes.

A row of values is missing in the table.

Which of the following numbers of kilograms and milliliters could be used as the missing values in the table?

Choose 2 answers:

Mumbai is approximately $845$ kilometers $\left(km\right)$ away from Bangalore, and Mumbai is approximately $1160$ km away from Delhi. The distances, measured in centimeters $\left(cm\right)$ , between the cities on Allyson’s map are proportional to the real distances.

Choose $3$ answers:

Maël mixes $15$ milliliters $\left(mL\right)$ of bleach with $3.75$ liters $\left(L\right)$ of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.

Choose $3$ answers:

Choose $3$ answers:

A park has a $3$ meter $\left(m\right)$ tall tether ball pole and a $6.8\ m$ tall flagpole. The lengths of their shadows are proportional to their heights.

Choose $2$ answers:

At East Middle School, there are $58$ left-handed students and $609$ right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School.

Choose $2$ answers:

A row of values is missing in the table.
Which numbers of stars and total points could be used as the missing values in the table?

Choose $3$ answers:

Triangle A has a height of $2.5\ cm$ and a base of $1.6\ cm$ . The height and base of triangle $B$ are proportional to the height and base of triangle $A$ .

Which of the following could be the height and base of triangle $B$ ?

Choose $3$ answers:

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of $3$ chaperones for a field trip with $24$ students.

Choose $2$ answers:

The table shows a proportional relationship between the milliliters $\left(mL\right)$ of red paint and milliliters of yellow paint to make a certain shade of orange.

Choose $2$ answers:

Rectangle $A$ has side lengths of $6\ cm$ and $3.5\ cm$ . The side lengths of rectangle $B$ are proportional to the side lengths of rectangle $A$ .

What could be the side lengths of rectangle $B$ ?

Choose $2$ answers:

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for $5$ hours of work is $\$350$ .

Choose $3$ answers:

The table shows a proportional relationship between the mass, in kilograms $\left(kg\right)$ , of a dog and the milliliters $\left(mL\right)$ of flea medicine a veterinarian prescribes.

Choose $2$ answers: