Curated OER
The Distance and Midpoint Formula
For this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula....
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
EngageNY
The Volume Formula of a Pyramid and Cone
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...
Illustrative Mathematics
Equations and Formulas
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...
EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
Los Angeles County Office of Education
Assessment For The California Mathematics Standards Grade 4
Have scholars show what they know with a 20-page assessment aligned to the California State Standards. The test covers concepts such as large and whole numbers, all four mathematical operations, fractions, decimals, geometric figures,...
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
Curated OER
Evaluating Formulas
For this evaluating formulas worksheet, 9th graders solve 10 different problems related to various types of formulas used in evaluating equations. First, they determine the value of the indicated variable. Then, students substitute each...
Curated OER
Use Formulas
In this problem solving worksheet, students solve the answers to 6 mathematical questions about a box of balls by using a variety of formulas.
Curated OER
Variables and Expressions from Around the Cosmos
In this variables and expressions worksheet, students solve 7 problems using different mathematical formulae to find the length of Earth's day in the future, the distance to the galaxy Andromeda, the temperature of a gas cloud emitting...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this instructional activity, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Curated OER
Solving Equations and Formulas
Learners rearrange equations and formulas to solve for a specified variable. Includes multi-step equations with a variety of different variables and a few real-world applications. Great for use as a study guide when presenting the...
Houghton Mifflin Harcourt
Developing Formulas for Circles and Regular Polygons
Formulas and procedures for finding the area and circumference are not provided on this handout, so it will be best used as a practice of already-acquired skills. It is a well-rounded assignment, however, as it includes diagrams,...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
Curated OER
Mathematics Test Book 3
In this mathematics learning exercise, students solve problems involving the Pythagorean Theorem, simple interest, distance formula and measurement conversions. This 20-page learning exercise contains 10 multi-step problems.
Curated OER
Regents High School Examination Mathematics B
In this secondary mathematics learning exercise, students are provided with questions that are reflective of the types of questions on the New York State Regents Examination. The twenty-four page learning exercise contains a...
Curated OER
Regents High School Examination Mathematics B
In this secondary mathematics worksheet, students are provided with questions that are reflective of the types of questions on the New York State Regents Examination. The twenty-four page worksheet contains a combination of...
Curated OER
Chapter 11 - Objective 3.1 - Quadratic Formula
In this quadratic formula worksheet, students use the quadratic formula to solve equations. This one-page worksheet contains ten problems.
Curated OER
Chapter 10 - Objective 3.1 Quadratic Formula
In this quadratic formula worksheet, students solve quadratic equations. They use the discriminant to determine the solution or solutions to the problem. This one-page worksheet contains