Measurement is the process of determining the size, length, or amount of something. It involves comparing a quantity to a standard unit. Common units of measurement include meters, centimeters, inches, and feet.

The perimeter of a shape is the total distance around the outside of the shape. To find the perimeter of a shape, you add up the lengths of all its sides. For example, the perimeter of a rectangle can be found using the formula: **Perimeter = 2 * (length + width)**.

The circumference is the distance around the outside of a circle. It is found using the formula: **Circumference = 2 * π * radius** or **Circumference = π * diameter**, where π (pi) is a constant approximately equal to 3.14159.

Here are some key points to remember when studying measurement, perimeter, and circumference:

- Understand the concept of measurement and how to convert between different units of measurement.
- For perimeter, learn the specific formulas for finding the perimeter of common shapes such as rectangles, squares, triangles, and circles.
- Practice calculating the circumference of circles using the appropriate formula.
- Work on real-world problems involving measurement, perimeter, and circumference to apply these concepts in practical situations.

Study GuideMeasurement, Perimeter, and Circumference Worksheet/Answer key

Measurement, Perimeter, and Circumference Worksheet/Answer key

Measurement, Perimeter, and Circumference Worksheet/Answer key

Measurement, Perimeter, and Circumference

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.

Connections to the Grade 7 Focal Points (NCTM)

Measurement and Geometry: Students connect their work on proportionality with their work on area and volume by investigating similar objects. They understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related, and the cube of the scale factor describes how corresponding volumes are related. Students apply their work on proportionality to measurement in different contexts, including converting among different units of measurement to solve problems involving rates such as motion at a constant speed. They also apply proportionality when they work with the circumference, radius, and diameter of a circle; when they find the area of a sector of a circle; and when they make scale drawings.