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.
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 6
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
EngageNY
End-of-Module Assessment Task - Grade 8 Mathematics (Module 2)
Can your classes apply the knowledge they have learned? Use this performance task to find out! Individuals use transformations to explain congruence and angle relationships within parallel lines to find missing values. They show what...
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 class...
Illustrative Mathematics
Paper Clip
With minimal setup and maximum freedom, young geometers are encouraged to think outside the box on a seemingly simple application problem. Though the task seems simple, measuring a given paper clip and finding how many 10 meters can...
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
Students are given the background information to open the instructional activity: 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...
Curated OER
Design Project: DC Motor
For this DC motor worksheet, the learner answers 3 open-ended questions pertaining to the design of a DC motor. The worksheet is printable and the answers are revealed online.
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.
Curated OER
New York State Testing Program: Mathematics Book 2, Grade 4 2008
In this 4th grade math standardized test practice learning exercise, students solve 18 multiple-step open-ended math problems based on New York academic standards.
Curated OER
New York State Testing Program: Mathematics Book 2, Grade 3 2008
In this 3rd grade math standardized test practice worksheet, students solve 6 multiple-step open-ended math problems based on New York academic standards.
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 rotations, reflections, and...
Curated OER
Scoring Guide for the Algebra 2/Trigonometry Test Sampler
High schoolers 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. High schoolers solve 39 multiple choice/short answer...
Curated OER
Trigonometry for AC Circuits
For this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
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 lines cut...
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
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
Students, 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
Math 212: Dot Product and Cross Product
In this dot product worksheet, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page worksheet contains three problems.
Curated OER
Rotational Dynamics
In this motion worksheet, students calculate the initial angular acceleration, and the angular speed before and after impact for different objects. This worksheet has 3 problems to solve.
Curated OER
SAT Practice Test
In this secondary mathematics learning exercise, students assess their readiness for the SAT test. The one page, interactive learning exercise contains ten problems. Solutions are not provided.