Probability models

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

Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20\% chance of winning each game and that Cam has a 50\% chance of winning each game.

What is the probability that Ben will win the board game?

Choose 1 answer:

2. Question

You are a space alien. You visit planet Earth and abduct 97 chickens, 47 cows, and 77 humans. Then, you randomly select one Earth creature from your sample to experiment on. Each creature has an equal probability of getting selected.

Create a probability model to show how likely you are to select each type of Earth creature.

Type of Earth creature Estimated probability

Chicken

Cow

Human

3. Question

Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.

What is the probability that Avel will be driving during any given kilometer?

Choose 1 answer:

4. Question

Dalia owns a gravel pit. She took a random sample of rocks and counted 58 sedimentary rocks, 213 metamorphic rocks, and 522 igneous rocks.

Use the observed frequencies to create a probability model for Dalia randomly selecting one rock from her gravel pit..

Type of rock Estimated probability

Sedimentary

Metamorphic

Igneous

5. Question

Sports World is open every day. Chelsey, Ivy, and James are the only employees at Sports World who can open the store. The following graph shows an incomplete probability model for who will open the store on any given day.

What is the probability that James will open the store on any given day?

Choose 1 answer:

6. Question

Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes.

Use the observed frequencies to create a probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study.

Type of volcano Estimated probability

Cinder cone

Shield

Stratovolcano

7. Question

After Cynthia microwaves her bowl of morning porridge, it is either too cold, just right, or too hot. She estimates that there is a 35\% chance that it will be too cold and a 50\% chance that it will be too hot.

What is the probability that Cynthia’s morning porridge will be just right?

Choose 1 answer:

8. Question

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the restaurant was playing country 11 times, rock & roll 17 times, and blues 8 times.

Use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time Mahnoor walks in.

Type of music Estimated probability

Country

Rock & roll

Blues

9. Question

Michael, Ronald, Lidia, Alexandra, and Catherine are sharing a basket of fries. The following table shows an incomplete probability model for who will eat the next fry.

What is the probability that Ronald will eat the next fry?

Choose 1 answer:

10. Question

A consumer report counted 72 low-quality, 112 medium-quality, and 711 high-quality computers based on a random sample. The report went on to say that all computers, regardless of quality, are packaged identically and sold at the same price.

Use the observed frequencies to create a probability model for the quality of the next computer purchased.

Quality Estimated probability

Low

Medium

High

11. Question

Manny, Rachelle, and Peg race each other in carts. There are no other racers, and exactly one racer wins each race (no ties allowed!). The following graph shows an incomplete probability model for who will win any given race.

What is the probability that Rachelle will win any given race?Choose 1 answer:

12. Question

Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted 12yellow markers, 37 blue markers, and 1 red marker.

Use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers.

Type of marker Estimated probability

Yellow

Blue

Red

Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a $20\%$ chance of winning each game and that Cam has a $50\%$ chance of winning each game.

Choose $1$ answer:

You are a space alien. You visit planet Earth and abduct $97$ chickens, $47$ cows, and $77$ humans. Then, you randomly select one Earth creature from your sample to experiment on. Each creature has an equal probability of getting selected.

Choose $1$ answer:

Dalia owns a gravel pit. She took a random sample of rocks and counted $58$ sedimentary rocks, $213$ metamorphic rocks, and $522$ igneous rocks.

Choose $1$ answer:

Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen $13$ cinder cone volcanoes, $18$ shield volcanoes, and $6$ stratovolcanoes.

After Cynthia microwaves her bowl of morning porridge, it is either too cold, just right, or too hot. She estimates that there is a $35\%$ chance that it will be too cold and a $50\%$ chance that it will be too hot.

Choose $1$ answer:

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the restaurant was playing country $11$ times, rock & roll $17$ times, and blues $8$ times.

Choose $1$ answer:

A consumer report counted $72$ low-quality, $112$ medium-quality, and $711$ high-quality computers based on a random sample. The report went on to say that all computers, regardless of quality, are packaged identically and sold at the same price.

What is the probability that Rachelle will win any given race?
Choose $1$ answer:

Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted $12$ yellow markers, $37$ blue markers, and $1$ red marker.