Balanced Assessment
Two Solutions
An assessment presents a variety of equations and inequalities. Pupils must find two solutions for each equation or inequality and determine whether there are only two, another finite number, or an infinite number of solutions...
Curated OER
Introduction to Differentiation
In this introduction to differentiation instructional activity, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then,...
Curated OER
Verbal and Algebraic Expressions
In this expressions activity, learners solve and complete 30 various types of problems that include defining both verbal and algebraic expressions. First, they translate each verbal expression into an algebraic expression and vice verse....
Curated OER
You Must Still Think Yourself, CAS Can Only Help
Have the class learn about and make conjectures about a line intersecting a cubic. In this making conjectures about a line intersecting a cubic lesson, students draw lines that intersect a cubic at three different points. ...
Curated OER
Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with...
Radford University
A Change in the Weather
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 4)
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
Curated OER
The Notorious Four-Color Problem
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be...
Curated OER
Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
Curated OER
Mathematices: Pre-Calculus
Students relate polynomials to real life situations. In this algebra lesson, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Curated OER
Exploring Functions and Their Derivatives
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
Curated OER
Homework Handout for Class 27
In this calculus instructional activity, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.
Curated OER
Introduction To Functions
Students define a functions and solve problems using functions. In this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
Curated OER
Using Fourier Series
In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....
Curated OER
Differentiability and Linear Approximation
For this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Curated OER
Factoring Trinomials
Students factor trinomials correctly. In this algebra lesson, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.
Curated OER
Maximize It!
Pupils design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Curated OER
Unit 9 Review
Middle and high schoolers solve and complete 15 various types of problems that include evaluating expressions and graphing. First, they use the substitution method to solve pairs of equations for a variable. Then, students write out a...
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...