Search the California Content Standards

Cluster:
Geometric measurement: understand concepts of angle and measure angles.

Standard:
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.

Cluster:
Geometric measurement: understand concepts of angle and measure angles.

Standard:
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

Cluster:
Geometric measurement: understand concepts of angle and measure angles.

Standard:
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Cluster:
Geometric measurement: understand concepts of angle and measure angles.

Standard:
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

Cluster:
Graph points on the coordinate plane to solve real-world and mathematical problems.

Standard:
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

Cluster:
Graph points on the coordinate plane to solve real-world and mathematical problems.

Standard:
Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

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

Standard:
Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

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

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

Cluster:
Convert like measurement units within a given measurement system.

Standard:
Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real-world problems.

Cluster:
Represent and interpret data.

Standard:
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.