EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative instructional activity reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a...
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....
LABScI
Conservation of Momentum: Marble Collisions
What happens to the momentum of an object when it strikes another object? Scholars roll a marble down a ramp so it collides with another marble. By measuring the speed of each marble before and after the collision, pupils answer this...
Curated OER
Learning Unit: The Pythagorean Theorem
Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.
Everyday Mathematics
Mathematics Within: Slope and Triangles
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
Curated OER
Worksheet 5: Property Limits and the Squeeze Theorem
For this math worksheet, young scholars answer 6 questions regarding given limits in a table of data, properties of limits and the Squeeze Theorem.
Curated OER
The "U's" Have IT!
Students explore the maximum and minimum values of parabola. In this exponential equations lesson, students use graphing calculators or TI Interactive Software to calculate values of parabola and graph x-intercepts of parabola.
EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Space
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
EngageNY
Analyzing Decisions and Strategies Using Probability 2
Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous instructional activity. They then extend this concept to...
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
EngageNY
Association Between Categorical Variables
Investigate associations between variables with two-way tables. Scholars continue their study of two-way tables and categorical variables in the 15th installment of a 21-part module. The instructional activity challenges them to...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson plan of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals...
Curated OER
Data Analysis & Probability
High schoolers make predictions based on survey results. They calcuate sample proportions. Students estimate the number of voters in their district preferring the democratic candidate using their sample results. They review sample...
Curated OER
What's the Frequency, Roy G. Biv?
Introduce starting space scientists to the electromagnetic spectrum, expecially the portion of visible light. Teach them about wavelength and frequesncy. Then give them a roll of adding machine tape and a manila folder to make a...
Teach Engineering
Air Pressure
Investigate what is pushing on us. An intriguing lesson has pupils calculate the amount of force on various squares due to air pressure. Using the data, individuals create a graph in the third lesson of the Up, Up and Away unit...
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
EngageNY
Linear Models
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The lesson teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use linear...
Institute of Electrical and Electronics Engineers
Insulators and Conductors
In a classic activity, emerging electricians test various objects for electrical conductivity in a circuit. Each group constructs a simple circuit by following a diagram. Predictions are made and objects are inserted into the circuit,...