Search the California Content Standards

Cluster:
Understand ratio concepts and use ratio reasoning to solve problems.

Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Cluster:
Develop understanding of statistical variability.

Standard:
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages.

Cluster:
Develop understanding of statistical variability.

Standard:
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

Cluster:
Develop understanding of statistical variability.

Standard:
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Cluster:
Summarize and describe distributions.

Standard:
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Reporting the number of observations.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standard:
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction ½/¼ miles per hour, equivalently 2 miles per hour.