7th Grade Math STAAR Reporting Category 1

• Decimals that have a pattern or come to an end: 2.66666..., 1.32, etc.

  • Integers {...-3, -2, -1, 0, 1, 2, 3, ...} (no decimals allowed)

    • Whole Numbers {0, 1, 2, 3, ...} (no decimals or negatives allowed)

      • Natural/Counting Numbers {1, 2, 3, ...} (no decimals, negatives, or 0 allowed)

The set of rational numbers contains any number that can be represented as a fraction.

Rational Number System

Labelling

Drag the sets of the rational number system to the correct part of the diagram.

Drag labels to their correct position on the image

Integers

Rational Numbers

Whole Numbers

Natural Numbers

Sample Space

The set of all possible outcomes for an event.

Example: What is the sample space of flipping a coin AND rolling a six-sided die?

2 Possible outcomes for coin = {heads, tails} or {H,T}

6 Possible outcomes for die = {1, 2, 3, 4, 5, 6}

Sample space = {(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

There are 2 x 6 = 12 possible outcomes.

Multiple Choice

A student will spin two spinners in an experiment. The tree diagram shows all possible outcomes of the experiment. Which sample space is described by this diagram?

• {(1,R), (1,T), (1,Z), (2,R), (2,T), (2,Z), (3,R), (3,T), (3,Z)}

• {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3), (1,R), (1,T), (1,Z), (2,R), (2,T), (2,Z), (3,R), (3,T), (3,Z)}

• {(1,2,3), (R,T,Z)}

• {(1,R,T,Z), (2,R,T,Z), (3,R,T,Z)}

Probability

The frequency of the event divided by the total.

Math Response

Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.

Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?

Type answer here

Correct Answer: \frac{3}{10}

Deg^°

Rad

Making Predictions (Experiments)

Set up a proportion!

Math Response

Vincent flipped three coins during a probability experiment. The outcomes of the first 40 trials are shown in the table. Based on the information in the table, in how many of the next 120 trials will the outcome be exactly two of the coins showing heads?

Type answer here

Correct Answer: 48

Deg^°

Rad

Probability: Complements

The complement is the probability of something NOT happening.

​**The sum of a probability and its complement will equal 1.

Drag and Drop

A teacher has a container of paper clips. She will randomly select one paper clip from the container. The container has:

8 pink paper clips

14 purple paper clips

12 yellow paper clips

16 blue paper clips

Complete the following statement:

The probability of selecting a purple paper clip is ​

Placeholder

and the probability of selecting a paper clip that is not purple is ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

Choosing the Reasonable Choice

Based on the survey results shown, which prediction about the next 200 visitors to the national park is the most reasonable?

A. The number of visitors who prefer water sports will be 5 more than the number who prefer biking trails.

B. The number of visitors who prefer hiking trails whill be 8 more than the number who prefer water sports.

C. The number of visitors who prefer camping will be 15 times thee number who prefer hiking trails.

D. The number of visitors who prefer camping will be 2 times the the number who prefer water sports.

Choosing the Reasonable Choice

Choosing the Reasonable Choice

A. The number of visitors who prefer water sports will be 5 more than the number who prefer biking trails.

Water Sports = 35; Biking Trails = 40; 40 + 5 = 45 ≠ 35 NOT TRUE

B. The number of visitors who prefer hiking trails whill be 8 more than the number who prefer water sports.

Hiking Trails = 55; Water Sports = 35; 8 + 35 = 43 ≠ 55 NOT TRUE

C. The number of visitors who prefer camping will be 15 times the number who prefer hiking trails.

Camping = 70; Hiking Trails = 55; 15 times 55 = 825 ≠ 70 NOT TRUE

D. The number of visitors who prefer camping will be 2 times the the number who prefer water sports.

Camping = 70; Water Sports = 35; 2 times 35 = 70 = 70 TRUE!

Multiple Choice

The table shows the number of different types of pies sold at a bakery during one day. Based on the results in the table, which statement about the pies sold at this bakery during one week is NOT true?

• It is two times as likely for a chocolate pie to be sold as for a lemon pie to be sold.

• It is equally likely for an apple or pecan pie to be sold as for a chocolate pie to be sold.

• It is more likely for an apple or lemon pie to be sold than for a pecan or chocolate pie to be sold.

• It is less likely for a pecan pie to be sold than for a lemon pie to be sold.