Search the California Content Standards

Cluster:
Classify two-dimensional figures into categories based on their properties.

Standard:
Classify two-dimensional figures in a hierarchy based on properties.

Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.

Standard:
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.

Standard:
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.

Standard:
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.

Standard:
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

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.