Understanding Fractions and Operations

Explain fraction equivalence by demonstrating an understanding that two fractions are equal if they are the same size, based on the same whole, or at the same point on a number line.

Explain fraction equivalence can be represented using set, area, and linear models.

Explain whole numbers can be written as fractions (e.g., 4 = 4/1 and 1 = 4/4).

Explain fractions with the same numerator or same denominator can be compared by reasoning about their size based on the same whole.

Use concrete objects, drawings and symbols to represent multiplication facts of two single-digit whole numbers and explain the relationship between the factors and the product.

Use concrete objects, drawings and symbols to represent division without remainders and explain the relationship among the whole number quotient, divisor, and dividend.

Solve real-world problems involving equal groups, area/array, and number line models using basic multiplication and related division facts. Represent the problem situation using an equation with a symbol for the unknown.

Determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is a missing factor, product, dividend, divisor, or quotient.

Apply properties of operations as strategies to multiply and divide and explain the reasoning.

Understand division as a missing factor problem.