Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
College Board
Why Variances Add - And Why It Matters
Why is adding variance important? A lesson outline defines a variance theorem and how it affects the data statistics. The instruction shows scholars the importance of considering the variance of data and why it requires independence.
Curated OER
Vectors
Represent motion with arrows and call them vectors! The lesson is a presentation that models the mathematics involved when determining a resultant vector. It addrssses motions that are parallel, perpendicular, and a combination of both.
Curated OER
Volume and Surface Area
Young scholars explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Young scholars discuss area.
Curated OER
Vocab-u-lous! Build a Fabulous Vocab
In this vocabulary worksheet, learners determine the best choice from the word bank to complete the sentence. The challenging words all begin with the letter "H."
Curated OER
Square Roots Using a Carpenter's Square
Students calculate the square root of a given number using carpenter's square measurements. In this math lesson, students relate this method on the Pythagorean theorem. They answer practice problems after the exploration activity,
Illustrative Mathematics
Downhill
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...
Curated OER
Trigonometry for AC Circuits
In this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
Curated OER
Distance Formula
Students calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
Equation of a Circle
Students write the equation of a circle. In this geometry instructional activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
Curated OER
Mnemonics to Remember Your Trig Ratios
In this calculus worksheet, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.
Curated OER
Radical Terms
In this Algebra I/Geometry/Algebra II worksheet, students simplify radicals that do not have a variable in the radicand. The one page worksheet contains a combination of nine multiple choice and free response questions. Answers are...
Curated OER
Semicircles
In this geometry learning exercise, 10th graders are presented with a problem involving semicircles. The diagram appears simple, though it turns out to have a many segments to be labeled with variables. The key to solving the problem...
Curated OER
Pythagorean Theorem
Need a few extra examples on using the Pythagorean Theorem? Here is a activity that uses pictures of New York City’s buildings as a model, and young architects find the height of the building. Consider adding more examples to further...
Curated OER
A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
Curated OER
Barber Pole
In this geometry learning exercise, students calculate the length of the rotating stripes around a cylinder. There is an answer key with this problem.
Curated OER
Why use the Pythagorean Theorem?
Eighth graders explore the Pythagorean Theorem. In this middle school geometry lesson, 8th graders solve problems using the Pythagorean Theorem as they explore the definition of a theorem and attempt to determine the formula for the...
Curated OER
Distance in Coordinate Geometry
Learners analyze distance and graphing. For this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
Curated OER
The Pythagorean Theorem
Seventh graders relate the Pythagorean theorem to the real world. In this algebra lesson, 7th graders identify important properties of the Pythagorean theorem and use it to solve word problems. They create a step by step plan to help...
Curated OER
Dilation
Tenth graders identidy and define various geometry terms, Students create exact replicas of a shape that is either smaller or larger than the original shape. Students prove that their entire shapes are larger or smaller in the same...
Curated OER
Applications and Problem Solving Using Quadratic Equations
In this math worksheet, learners apply solving quadratic equations using word problems. They pay special attention to the units of measurement.
Curated OER
Solving Problems Using Quadratic Equations
In this math worksheet, students solve the problems using quadratic equations for each word problem. The example is used for reference.
Curated OER
Understanding Fundamental Trigonometric Identities
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
Curated OER
The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. For this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.