Shasta County Office of Education
Human Graphing Activity
Take graphing outside and make a giant coordinate plane to plot your human points. Young graphers are each given a coordinate for a particular shape and asked to make the geometrical shapes one by one. Those not plotted are to write down...
EngageNY
Graphs Can Solve Equations Too
There are many equations Algebra I learners are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of types...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
EngageNY
Two Graphing Stories
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
NASA
Earth, Can You Hear Me Now?
How long did you say? Class groups plot the distances between Earth and Mars and determine the trigonometric function that models the data. Using a calculator, they graph the function to determine when the distance and communication...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Radford University
“FUN-ctions” Find the Equation of a Scream
Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...
Alabama Learning Exchange
Human Slope
Middle and high schoolers explore the concept of slope. In this slope lesson, learners graph lines using a life-size graph. They use chalk on a blacktop to create a coordinate plane and use each other as the tick marks on the grid....
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...
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
Polar Trec
Playground Profiling—Topographic Profile Mapping
The Kuril islands stretch from Japan to Russia, and the ongoing dispute about their jurisdiction prevents many scientific research studies. Scholars learn to create a topographic profile of a specific area around their schools. Then they...
Curated OER
Dragonfly
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson encourages you, as the teacher, to only ask questions...
It's About Time
Curved Mirrors
Discover concave and convex mirrors using a laser light. Scholars experiment with real and virtual images before reading a handout and completing homework questions. Included extensions greatly benefit learners, so take advantage of the...
02 x 02 Worksheets
Slope
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...