Search the California Content Standards

Cluster:
Generalize place value understanding for multi-digit whole numbers.

Standard:
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Footnote:
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Cluster:
Generalize place value understanding for multi-digit whole numbers.

Standard:
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multidigit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Cluster:
Generalize place value understanding for multi-digit whole numbers.

Standard:
Use place value understanding to round multi-digit whole numbers to any place.

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

Standard:
Fluently add and subtract multi-digit whole numbers using the standard algorithm.

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

Standard:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

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

Standard:
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

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.