EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
EngageNY
The Hunt for Better Notation
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix multiplication...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Curated OER
More of DeMoivre's Theorem
Students identify DeMoivre's Theorem. In this precalculus lesson, students derive the law of sine and cosine as it relates to DeMoivre's Theorem. They identify the best time to use these formulas.
Curated OER
Law of Sines Word Problems
Students solve word problems using the law of sines. In this precalculus lesson, students work in groups as they define vocabulary terms. They apply the formula of sine to answer and solve problems.
Curated OER
Law of Sines and Cosines
Students solve problems using sine and cosine. In this precalculus instructional activity, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
Curated OER
Sine and Cosine
Students solve problems using sine and cosine. In this precalculus activity, students solve word problems using sine and cosine. They identify where it is appropriate to laws of sine and cosine and where to use the Pythagorean Theorem.
EngageNY
Function Composition
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
EngageNY
Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
EngageNY
Curves in the Complex Plane
Go around and around on the complex plane. The sixth lesson in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore complex...
Curated OER
Concepts in Precalculus 1: Trigonometry
Students investigate trigonometry. In this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
Curated OER
Graphs of the OTHER Trig Functions
Students graph trigonometric functions. In this precalculus lesson, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.
Curated OER
Particle Motion1
Students analyze piecewise functions. For this precalculus lesson, students identify the position, velocity and distance. They analyze the relationship between the graph, its position and velocity.
Curated OER
Particle Motion 2
Students analyze the motion of a particle along a straight line. In this precalculus lesson, students use the TI to analyze the position of a function as they graph and visualise the function. They calculate the distance and velosity of...
Curated OER
Absolute Value
Learners solve equations with absolute value bars. In this precalculus lesson, students graph and identify the vertex and translation of absolute value functions. They match equations with given graphs.
Curated OER
Dynagraphs
Students collect and graph their data. In this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.
Curated OER
Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus instructional activity, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its...
Curated OER
Logarithmic Transformations of Data
Students investigate and study logarithmic equations. In this precalculus lesson, students analyze the data behind the function. They define each graph as positive, negative or no correlation. They find the line of best fit.
Curated OER
Slope and Tangent
Students differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
Curated OER
Trigonometric Transformations
Students perform transformation on trig functions. In this precalculus lesson, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...
Curated OER
The Unit Circle
Students solve problems using the unit circle. For this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Curated OER
The Function Elevator
Students solve and graph functions. In this precalculus lesson plan, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.
Curated OER
Position and Piecewise Velocity
Young scholars solve piecewise functions. In this precalculus lesson, students model real life scenarios using velocity and piecewise. They create velocity graphs and find the beginning and end position of an object.