Curated OER
Pre-calculus Unit 3 Test 2
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
Curated OER
Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
College Board
Vectors: A Curriculum Module for AP® Calculus BC
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 5
Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.
EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
Curated OER
Functional Analysis
Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Curated OER
Tangent Properties
In this pre-calculus learning exercise, learners solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.
Curated OER
The Laws of Sines and Cosines Made Simple!
Learners study the law of sine and cosine. In this pre-calculus instructional activity, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Curated OER
Exploring Functions with Calculus and Dynamic Software
Calculus can be project-based and inquiry-centered by using dynamic software.
Curated OER
Unit Circle Lesson Plan
Students identify different locations on a unit circle. For this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
Curated OER
Extrema on an Interval
Young scholars explore maximum and minimum points, slopes and tangents. In this Pre-Calculus instructional activity, students solve optimization problems and find rates of change.
EngageNY
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
Curated OER
Radian Measure
Young mathematicians identify central angles, arcs and radius of circles in this pre-calculus lesson. They identify the proportion of the circle based on its radius while they convert between degrees and radians measurements.
Curated OER
Sum of Infinite Geometric Series
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
Texas Instruments
Buying Your First New Car!
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson plan. They investigate the cost of a new car by calculating depreciation and payments.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Texas Instruments
NUMB3RS Activity: Narrowing the Search
Students explore the length of an n-dimensional vector. In this Algebra II/Pre-calculus instructional activity, students investigate an expansion of the Pythagorean Theorem to n-dimensional space.
Curated OER
Arc Length Lesson
Learners find the length of the arc of a circle. For this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
Curated OER
Product Rule
Students investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the instructional activity to help find the...
Curated OER
Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast...
Curated OER
Mathematices: Pre-Calculus
Young scholars relate polynomials to real life situations. In this algebra instructional activity, students graph equations through modeling and data collection. They must be comfortable doing word problems.
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Curated OER
Area of a Triangle
Students solve the area of triangles. For this precalculus lesson, students are given two sides of a triangle and asked to calculate the area. They apply the law of sine and the side-angle-side area formula to solve.
Curated OER
Chill Out
Students investigate Newton’s Law of Cooling. In this Algebra II/ Pre-Calculus lesson, students explore exponential regression as they conduct an experiment to simulate the temperature variations that occur as a liquid cools. The...