Measurement & Data

Solve problems involving measurement and conversion of measurements.

4.MD.1 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.

Relate metric units

Relate Metric Units

Relate customary units

Relate Customary Units

4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

Area of simple figures

Area of Simple Figures

Area of complex figures

Area of Complex Figures

Perimeter of simple figures

Perimeter of Simple Figures

Perimeter of complex figures

Perimeter of Complex Figures

Represent and interpret data.

4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots.

Geometric measurement: understand concepts of angle and measure angles.

4.MD.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

4.MD.5.a An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles.

Measure angles

Measure Angles

Create angles

Create Angles

4.MD.5.b An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

Measure angles

Measure Angles

Create angles

Create Angles

4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Measure angles

Measure Angles

Create angles

Create Angles

4.MD.7 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.

Add and subtract angles

Add and Subtract Angles