Curated OER
Exploring Complex Roots
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas. Then, they discuss what makes a solution complex and how to identify functions with complex roots.
Curated OER
Parabolas
In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
Curated OER
Parabolas
In this parabolas worksheet, 11th graders solve and complete 9 different problems. First, they graph each parabola given and all of the other information asked. Then, students use each graph shown to write the equation for each parabola...
Curated OER
Properties of Parabolas
Learn to identify the properties of parabolas. Learners define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
Curated OER
Worksheet 3 Math 126: Ellipses and Hyperbolas
In this ellipses and hyperbolas worksheet, students solve 8 short answer and graphing problems. Students graph ellipses, hyperbolas, and parabolas given an equation. Students identify the foci of an ellipse or hyperbola.
Curated OER
Polynomials and Linear Factors
This algebra worksheet reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental...
Curated OER
Conic Sections
Students, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
Curated OER
As The World Curves
Students partisipate in a web scavenger hunt on an introductory lesson plan for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
Curated OER
"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
Curated OER
How Long Can You Go?
Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Alabama Learning Exchange
Bloodstain Pattern Doesn't Lie......
An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Kenan Fellows
Half-Life
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth lesson of seven integrating chemistry and algebra. Combining...
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Mathematics Vision Project
Module 8: More Functions, More Features
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
Curated OER
Best Practices of Technology Integration
Students participate in a lesson in order to practice using systems of equations in order to graph them. A cumulative project in the form of a brochure, web page, or interactive kiosk make this lesson more engaging.
Curated OER
Parabola
In this parabolas activity, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
Curated OER
Growing Circles
Students identify the equation to represent a circle. In this algebra lesson, students review properties of conics and how they are related. they use a robot to create a visual of circles and their application to the real world.
Curated OER
Get a Half Life!
Eighth graders use M&M's to experiment with data. They use a graphing calculator to determine the best equation for their data; linear, quadratic or exponential. They analyze the data to find the half-life of their M&M's.
Curated OER
Composition of Functions
High schoolers solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
Curated OER
Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
Curated OER
Word Problems
In this algebra worksheet, students are guided to choose the best method to solve problems using graphing, factoring, completing the square, and quadratic formula. There are 4 problems with an answer key.
Curated OER
Graphs
For this algebra worksheet, learners calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.