Sunday, July 14, 2024, 3:33 AM
Site: Learnbps
Course: BPSS (MAT) Mathematics Standards (S-MAT)
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#### MAT-07.RP.02.b

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems Recognize and represent proportional relationships between quantities. MAT-07.RP.02.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

## Student Learning Targets:

### Knowledge Targets

• I can understand that a proportional relationship is when two ratios are equal

### Reasoning Targets

• I can determine when a proportional relationship is being represented
• I can determine that ratios are proportional if their cross products are equal

### Vocabulary

• ratio
• proportion
• cross products

#### MAT-07.RP.02.c

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems Recognize and represent proportional relationships between quantities. MAT-07.RP.02.c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between total cost and the number of items can be expressed as t = pn.

## Student Learning Targets:

### Reasoning Targets

• I can use an equation to represent a proportional relationship.

## Resources

### Vocabulary

#### MAT-07.RP.02.d

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems Recognize and represent proportional relationships between quantities. MAT-07.RP.02.d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

## Student Learning Targets:

### Knowledge Targets

• I can Identify the unit rate by using the point (1, r)

### Reasoning Targets

• I can explain what the point (0, 0) on the graph of a proportional relationship means
• I can explain what a point (x, y) on the graph of a proportional relationship means

### Vocabulary

Proportional Relationship, Constant of Proportionality, Unit Rate, Equivalent Ratios, and Origin.

#### MAT-07.RP.03

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems MAT-07.RP.03 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

## Student Learning Targets:

### Knowledge Targets

• I know how to use proportions

### Reasoning Targets

• I can solve percent problems
• I can solve problems involving percent of change
• I can solve simple interest problems

## Resources

### Vocabulary

• proportion
• percent
• discount
• markup
• interest
• simple interest
• percent of increase
• percent of decrease
• sale price

# Statistics and Probability

## Narrative for the (SP) Statistics and Probability

The standards within the Statistics and Probability domain require students to (1) use random sampling to draw inferences about a population, (2) draw informal comparative inferences about two populations, and (3) investigate chance processes and develop, use, and evaluate probability models.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

#### MAT-07.SP.01

Domain (SP) Statistics and Probability
Cluster: Use random sampling to draw inferences about a population

MAT-07.SP.01 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

## Vocabulary:

Sample, Population, Validity, Generalization, Random Sample, and Representative Sample.

Rubric - Resources

#### MAT-07.SP.02

Domain (SP) Statistics and Probability
Cluster: Use random sampling to draw inferences about a population

MAT-07.SP.02 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

## Student Learning Targets:

• I can draw inferences about a population based on data generated by a random sample.
• I can generate multiple samples from the same population and analyze the estimates or predictions based on the variation of each sample.

### Vocabulary:

Population, Sample, and Random Sample.

Rubric - Resources

#### MAT-07.SP.03

Domain (SP) Statistics and Probability
Cluster: TOPIC

MAT-07.SP.03 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.

## Student Learning Targets:

• I can find the difference in the mean or the median of two different data sets.
• I can demonstrate how two data sets that are very different can have similar variabilities.
• I can draw inferences about the data sets by making a comparison of these differences relative to the mean absolute deviation or interquartile range of a set of data.

### Vocabulary:

Measures of Center (Measures of central tendencies)

Variability

mean

median

mode

mean absolute deviation

interquartile range.

Rubric - Resources

#### MAT-07.SP.04

Domain (SP) Statistics and Probability
Cluster: Draw informal comparative inferences about two populations

MAT-07.SP.04 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

## Student Learning Targets:

• I can apply central measures t draw conclusions.
• I  draw conclusions from different population samples.
• I can make inferences about two populations.

# Proficiency Scale

### Vocabulary:

Measures of Variability

Measures of Center

Mean

Median

Absolute Deviation

Interquartile Range

Population

Random Sample

Rubric - Resources

#### MAT-07.SP.05

Domain (SP) Statistics and Probability
Cluster: Investigate chance processes and develop, use, and evaluate probability models

MAT-07.SP.05 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

## Student Learning Targets:

• I can define probabilite as a ratio that compares favorable outcomes to all possible outcomes.
• I can recognize and explain that probabilities are expressed as a number between 0 to 1.
• I can interpret a probability near 0 as unlikely to occur and a probability near 1 as likely to occur.
• I can interpret a probability near 1/2, as being equally able to occur as to not occur

#### Vocabulary:

Likely

unlikely

Rubric - Resources