Geometric Formulas Study Guide
Area Formulas
The area of a shape is a measure of the amount of space inside the shape. Here are some common area formulas:
- Rectangle: Area = length × width
- Triangle: Area = ½ × base × height
- Circle: Area = π × (radius)²
- Parallelogram: Area = base × height
- Trapezoid: Area = ½ × (sum of parallel sides) × height
Perimeter Formulas
The perimeter of a shape is the distance around the outside of the shape. Here are some common perimeter formulas:
- Rectangle: Perimeter = 2 × (length + width)
- Triangle: Perimeter = side1 + side2 + side3
- Circle: Perimeter = 2 × π × radius
- Square: Perimeter = 4 × side length
Volume Formulas
The volume of a shape is a measure of the amount of space inside the shape in three dimensions. Here are some common volume formulas:
- Rectangular Prism: Volume = length × width × height
- Cube: Volume = side length³
- Cylinder: Volume = π × (radius)² × height
- Cone: Volume = ⅓ × π × (radius)² × height
It's important to remember these formulas and how they apply to different geometric shapes. Practice using these formulas with different examples to solidify your understanding.
.◂Math Worksheets and Study Guides Seventh Grade. Rational and Irrational Numbers
Study Guide
Rational and Irrational Numbers 
Worksheet/Answer key
Rational and Irrational Numbers Worksheet/Answer key
Rational and Irrational Numbers Worksheet/Answer key
Rational and Irrational Numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Connections to the Grade 7 Focal Points (NCTM)
Number and Operations: In grade 4, students used equivalent fractions to determine the decimal representations of fractions that they could represent with terminating decimals. Students now use division to express any fraction as a decimal, including fractions that they must represent with infinite decimals. They find this method useful when working with proportions, especially those involving percents. Students connect their work with dividing fractions to solving equations of the form ax = b, where a and b are fractions. Students continue to develop their understanding of multiplication and division and the structure of numbers by determining if a counting number greater than 1 is a prime, and if it is not, by factoring it into a product of primes.