Search the California Content Standards

Cluster:
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Standard:
Relate area to the operations of multiplication and addition. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.

Cluster:
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Standard:
Relate area to the operations of multiplication and addition. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real-world problems.

Cluster:
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Standard:
Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

Cluster:
Use place value understanding and properties of operations to perform multi-digit arithmetic.

Standard:
Use place value understanding to round whole numbers to the nearest 10 or 100.

Footnote:
A range of algorithms may be used.

Cluster:
Use place value understanding and properties of operations to perform multi-digit arithmetic.

Standard:
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

Cluster:
Use place value understanding and properties of operations to perform multi-digit arithmetic.

Standard:
Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

Cluster:
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Standard:
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Cluster:
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Standard:
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. (Two-dimensional shapes should include special triangles, e.g., equilateral, isosceles, scalene, and special quadrilaterals, e.g., rhombus, square, rectangle, parallelogram, trapezoid.) CA

Cluster:
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Standard:
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

Cluster:
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Standard:
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), . . .