Mathematics Assessment Project
Classifying Equations of Parallel and Perpendicular Lines
Parallel parking might be difficult, but finding parallel lines is fairly simple. In this lesson, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals then take part...
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
CK-12 Foundation
Hyperbolas
Hyperbolas—practice thinking outside of the box. Pupils alter the end behavior box to create various graphs of hyperbolas. They determine formulas to find the distance from the origin to the foci. Using that information, scholars...
Kenan Fellows
Designing and Analyzing Data Collected from Wearable Devices to Solve Problems in Health Care
Wearable devices have become more the norm than the exception. Learners analyze data from a sample device with a regression analysis in a helpful hands-on instructional activity. Their focus is to determine if there is a connection...
Curated OER
Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
Curated OER
Graphing Quadratic Equations with a Coefficient of One
This is a teacher page for a lesson and does not include any materials to support the lesson. Students graph quadratic equations with a coefficient of one and create a table of values to graph a quadratic equation. They plot the values...
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data learning exercise, students use quadratic functions to model data using three different methods. This learning exercise provides explanations and an example. Additionally, students are given the steps to find the...
Curated OER
Solving a System of Linear and Quadratic Equations
In this Algebra II activity, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page activity contains a combination of nine multiple choice and free response...
Curated OER
Solving Polynomial Equations
This activity and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
CPALMS
Writing an Exponential Function from its Graph
Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.
02 x 02 Worksheets
Absolute Value Equations and Inequalities
Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Mathematics Assessment Project
Reasoning with Equations and Inequalities
Provide class members with an opportunity to practice reasoning. A resource contains six skill-based items aligned to the Common Core. The items require pupils to reason abstractly and attend to precision.
CK-12 Foundation
Geometric Sequences: Bacteria Colony
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
Curated OER
Graphing Systems of Equations
In this Algebra II worksheet, 11th graders use graphing to determine the solution to a system of linear equations. The two page worksheet contains explanation and three guided problems. Answers are not included.
Del Mar College
Finding the Domain
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...