Search the California Content Standards

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:
Draw, construct, and describe geometrical figures and describe the relationships between them.

Standard:
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.

Standard:
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.

Standard:
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Standard:
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Standard:
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Standard:
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.