4.MD.7: Understanding and Applying the Additivity of Angle Measures

Grade: 4th Grade

Domain: MD: Measurement and Data

Standard Description

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.

Domain Description

Understand the relative sizes of measurement units such as km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec and know how to convert them. For instance, know that 1 ft equals 12 inches, so a 4 ft snake is 48 in. Create a conversion table for feet and inches like (1, 12), (2, 24), (3, 36), ...

Utilize the four operations to solve problems involving distances, time intervals, liquid volumes, weight of objects, and money. This can include converting measurements from a larger to a smaller unit, and representing measurement quantities using number line diagrams.

Apply the area and perimeter formulas for rectangles to solve real-world and mathematical problems. For instance, find the width of a room given the area of the floor and the length.

Create a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use this to solve problems involving addition and subtraction of fractions. For example, find and interpret the difference in length between the longest and shortest specimens in an insect collection.