Calculate absolute values, compare magnitude versus order, find intervals across zero, and compute mental additions and subtractions with integers.

Add and subtract proper fractions, improper fractions, and mixed numbers with like and unlike denominators, including regrouping.

Calculate the volume of composite three-dimensional figures, determine missing dimensions, and measure irregular object volumes using liquid displacement.

Master converting across standard and extended metric units including decimeters, decagrams, and metric tons, and solve complex multi-step problems.

Specify positions using compass points and three-figure bearings, interpret route maps, and use scale factors to enlarge/reduce shapes and calculate distances.

Conduct chance experiments, list full sample spaces using organized lists and tree diagrams, and compute theoretical probabilities.

Identify circle parts, construct circles using a compass, understand pi as a geometric ratio, and calculate the circumference and area of circles and sectors.

Perform mixed operations across fractions and decimals, find total quantities from fractional parts, and compute fractional increases and decreases.

Compare alternative representations of the same dataset, detect misleading features, and choose optimal graph types.