EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third activity in the series. Pupils explore linear equations and describe the points of intersection with a given polygon...
Mt. San Antonio Collage
Elementary Geometry
Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and the...
Curated OER
Proofs Of The Pythagorean Theorem?
Even U.S. President James Garfield had his own proof of the Pythagorean Theorem! Pupils consider three different attempts at a geometric proof of the Pythagorean Theorem. They then select the best proof and write paragraphs detailing...
EngageNY
Applications of the Pythagorean Theorem
Examine the application of the Pythagorean Theorem in problem-solving questions. Pupils apply the theorem to find lengths when given different scenarios. They finish the 17th installment in an 18-part series by applying the theorem to...
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...
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.
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 a point to a...
Mathematics Assessment Project
Middle School Mathematics Test 2
A 13-page test with two 40-minute sections covers multiple years of math content. It incorporates applied problems and mathematical analysis.
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
Number Sense: Real Numbers
Using a scientific calculator and an 11-page guide sheet, middle schoolers investigate real numbers and problem-solving properties. The publisher links this resource to Common Core standard for seventh grade math, but you may find it a...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
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
For this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
Curated OER
Graphs
In this graphing worksheet, 9th graders read one page of graphing examples and complete 8 exercise problems. Each problem involves graphing and coordinates.
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, learners 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
Distance Formula
Learners 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
Do the Twist...(Learning about Screws)
Students investigate how screws are a twisted incline plane. They observe the teacher screw a screw into wood and participate in a class discussion. Next, they make and test a prediction about how the spacing of the threads on a screw...
Curated OER
Equation of a Circle
Young scholars write the equation of a circle. In this geometry activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.