EngageNY
Solve for Unknown Angles—Angles and Lines at a Point
How do you solve for an unknown angle? In this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
Illustrative Mathematics
Right Triangles Inscribed in Circles I
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
Curated OER
Regents High School Examination - Physics 2010
Give every type of learner in your physics class an opportunity to demonstrate what they have learned throughout the year. From analyzing tables and graphs, to evaluating diagrams and solving problems, there is an outstanding variety of...
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Illustrative Mathematics
Are They Similar?
Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...
Curated OER
The Trig To Soccer
Learners are given the background information to open the lesson plan: Suppose a penalty kicker in soccer could choose where he could kick from, as long as he stayed on the back line of the penalty area. Would he have a better chance of...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
EngageNY
Transformations—The Next Level
Transform your geometry instruction by incorporating role play into math class. Pupils begin by completing an assessment to locate unknown angles, and then performing a simulation activity to better understand...
Curated OER
Scoring Guide for the Algebra 2/Trigonometry Test Sampler
Students take an Algebra II/Trigonometry sample test. In this Algebra II/Trigonometry sample sample test lesson, students take a sample test for Algebra 2/Trigonometry. Students solve 39 multiple choice/short answer...
Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...
Curated OER
Wing Area Effects Problem Set
Students read an explanation from a NASA Web-based textbook on lift and an explanation on the FoilSim software package given below. They use FoilSim to evaluate the relationship between wing area and lift.
Curated OER
Velocity Effects Problem Set
High schoolers, after reading an explanation on lift from a NASA Web-based textbook and an explanation on the FoilSim software package given below, use FoilSim to evaluate the relationship between velocity and lift.
Curated OER
Making a Periscope
Students experiment with a simple periscope to see how it reflects light. They draw a diagram of the path a ray of light follows as it travels from an object, through the periscope, and into your eye.