CK-12 Foundation
Parametric-Inverses: Graph Matching
Perform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...
CK-12 Foundation
Circles Centered at the Origin: The Map of the Beta Solar System
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...
CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
K20 LEARN
Driving Rationally: Introduction To Rational Functions And Asymptotes
Calculating average speeds is not as simple as finding an average. The lesson introduces class members to rational functions by presenting a problem about finding an average speed for the rest of a trip. Pupils develop an equation to...
101 Questions
Chalk Lines
Read between the lines to find a solution. Budding mathematicians analyze a situation to solve a problem. They view a video presentation of the problem, brainstorm important information to gather, and write linear equations to find...
Concord Consortium
Build a Box
Strive for gold with an informative resource. A short task challenges learners to investigate the thickness of a box made from a given volume of gold. The box must have specific dimensions, so setting up and solving a literal equation is...
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
College Board
2014 AP® Chemistry Free-Response Questions
More than half of AP Chemistry test takers earn a high enough score to get college credit. Improve that statistic by using past test questions including precipitate, molarity, and chemical equations to prepare for a future exam. The...
College Board
2018 AP® Chemistry Free-Response Questions
2018 saw some of the highest AP Chemistry scores in years. The College Board released each test question covering topics from enthalpy to net ionic equations, as well as scoring guidelines and more to benefit future scientists. Example...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target G
Making money and saving money turn into high interest topics for sixth graders. Grade 6 Claim 1 Item Slide Shows use these topics in a presentation with math practice problems. The questions require applying knowledge of algebraic...
PHET
Graphing Slope-Intercept
Slope-intercept form ... perhaps it has something to do with slope and intercepts? An easy-to-use interactive lets users adjust the locations of two points on a line. The interactive automatically updates the slope-intercept form of the...
Radford University
The Game of Life … Mathematics Style
Make life more organized using mathematics. Scholars get a good look at budgeting and personal finance by using linear equations. They research salary information and costs to develop mathematical models, including equations and graphs.
Radford University
Finding a Location for Your Kitchen Island
Where is the best place to work? Small groups map out a kitchen on a coordinate plane and find the centers of the work triangle to find the best place to install an island. The teams use algebraic methods to locate the center by finding...
Radford University
Staircases and Ramps
Ramp up the study of slope. The class participates in a discussion about the physical aspects of stairs and ramps they encounter. Small groups work together and measure a staircase and corresponding ramp to calculate the slope of each....
Radford University
Picturing Lines
Slopes are everywhere—even in houses! Given a picture of a house, learners find lines with positive, negative, zero, and no slopes. Scholars determine the equation of the lines by calculating the slopes and y-intercepts. Class members...
Radford University
Can I Create a Line/Curve of Best Fit to Model Water Drainage?
Learners collect data on the amount of water left in a bottle over time. They graph the data to determine whether the scatter plot shows a curved or straight relationship. Group members then determine an equation for the curve of best...
EngageNY
Curves from Geometry
Take a another look at ellipses. The seventh segment in a series of 23 in a Precalculus module continues to investigate the graph and equation of an ellipse from the previous lesson. Scholars investigate the fact that the sum of...
Flipped Math
Unit 8 Review: Functions
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
Flipped Math
Piecewise Functions
Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...
Flipped Math
Calculus AB/BC - General Solutions Using Separation of Variables
Viewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...
Flipped Math
Zeroes of Polynomials
Zero in to find the correct answer. Scholars find out how to solve a polynomial equation by factoring to find the zeroes. Learners use their knowledge of factoring polynomials and solving linear equations to find all of the solutions and...
Arcademics
Jumping Aliens
An alien-themed learning game challenges scholars to solve algebraic equations with exponents and variables using multiplication.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
It's About Time
Circular Motion
Lead your class in this exciting activity to learn more about motion and its importance. Pupils learn about a centripetal and why it is required to maintain a constant speed in a circulating moving mass. They apply the equation for...