Mathematics Vision Project
Module 1: Sequences
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Curated OER
Exploring Vertical Asymptotes
Scholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...
Curated OER
Graphing Review
in this graphing review worksheet, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. This twenty...
Curated OER
Rational Expressions
In this Algebra II instructional activity, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors. The two page instructional activity contains instruction, worked examples, and three...
Curated OER
The Rational Root Theorem
In this algebra worksheet, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are 19 problems...
Curated OER
Watch Your P' and Q's
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.
Curated OER
Irrational and Imaginary Root Theorems
For this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains...
Curated OER
Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
EngageNY
Using the Quadratic Formula
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions, and...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...
Curated OER
Radical Expressions
In this radical expressions worksheet, 11th graders solve and complete 55 various types of problems. First, they find the function value in each expression. Then, students simplify, assuming that variables represent real numbers. In...
Curated OER
Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Mt. San Antonio Collage
Review: Solving Equations
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level of...
Curated OER
Worksheet 38-Spring 1996
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
Curated OER
Worksheet 11 - Points of Discontinuity
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
Curated OER
Differentiation Using the Quotient Rule
In this calculus worksheet, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
Curated OER
Multiplying and Dividing Rational Expressions
In this algebra worksheet, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.
Curated OER
Sloping and Intersecting a Linear Function
Learners examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
Curated OER
Model Data with Quadratic Functions
Young scholars model data using quadratic equations. In this algebra lesson plan, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.