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...
NASA
Resolving 2-Plane Traffic Conflicts by Changing Route—Problem Set B
Do pilots create appropriate spacing between aircraft by traveling a longer or shorter path? An interactive presents two airplanes that violate safety protocols. Pupils must determine how to change the path of one plane to create the...
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
Ramps
Learners experiment to see how various objects roll down ramps. In this ramp lesson, students observe weight, size, and material of objects. Learners compare speeds by using a second ramp.
Curated OER
Symmetry in Paper Airplanes
Young scholars explore symmetry. For this geometry and scientific inquiry lesson, students design paper airplanes with middle line symmetry, as well as right, obtuse, and acute angles. Young scholars measure the plane's angles using a...
Curated OER
Intro to the Coordinate Plane
Students identify the axes, quadrants of the coordinate plane and plot points on the plane. They take notes on the coordinate plane. Students and teacher go over examples of the coordinate plane. As an independent practice students...
NASA
The X-1 Paper Glider Kit
After reading an interesting account of how the X-1 aircraft was designed, built, and utilized, young engineers try their hand at constructing a paper glider version of the airplane. They cut out the plane out of a nicely designed...
Curated OER
Coordinate Planes
Identifying the location of ordered pairs on coordinate planes is the focus in the math lesson presented here. In it, 4th graders are introduced to coordinate pairs, the x/y axis, and the techniques associated with this type of graphing....
EngageNY
Vectors in the Coordinate Plane
Examine the meaning and purpose of vectors. Use the lesson to teach your classes how find the magnitude of a vector and what it represents graphically. Your pupils will also combine vectors to find a resultant vector and interpret its...
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...
Curated OER
Graphing the Four Forces
Using the Cartesian coordinate system, future flight experts plot points to determine whether or not an airplane will fly. With the four forces of weight, lift, drag, and thrust represented in different quadrants, your physics learners...
US Department of Energy
Go Far Cars Ramp: A Basic Ramp with Four Height Settings
Precise measurements make the job easier! One of the challenges when using an inclined plane for testing comes from pupils not using exact measurements. They often rely on books that slide or different ramp lengths when experimenting. By...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Primary Resources
Coordinate Pairs: An Introduction
Ordered pairs, the x and y-axis - sounds like it's time to introduce learners to the plotting points on a graph! This presentation is great as it introduces the concept, provides an example of how to use a coordinate plane, and then...
Leadership Challenge
Paper Airplanes
The first activity in this leadership forum asks pairs of participants to design and build a paper airplane and then fly this plane from one partner to the other. The debrief of the activity asks these future leaders to consider how they...
NASA
Resolving 2-Plane Traffic Conflicts by Changing Speed—Problem Set E
What do you do to change arrival times of airplanes when a different route is not available? The fifth interactive in a series of six presents problems where pupils must find solutions to conflicts of safety rules. They must decide how...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Speed—Problem Set F
Get three planes to line up safely. Individuals work through a set of problems to eliminate spacing conflicts between three airplanes in flight. The pupils use their knowledge to change the airplanes' speed or route to meet a...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Route—Problem Set C
Keep the planes from crashing. Pupils work with three airplanes and change their flight paths to keep them at a safe distance from each other. Individuals work through three problems in the third interactive in a set of six with...
Curated OER
Ramps 1: Let It Roll!
Students explore and measure the rate of spherical objects rolling down a ramp. They discuss why different ramps work better than others, and practice procedures for testing designs and recording results.
Curated OER
How do engineless planes stay aloft?
Fifth graders explore how a plane can stay aloft. For this engineless airplane flying lesson, 5th graders experiment to find how the design of a plane and Bernoulli's principle keep planes in the air. Student's create a plane and answer...
Curated OER
Plane Mirror Images
Students view a demonstration to investigate mirror images. In this plane mirror instructional activity, students view a teacher demonstration of a plane mirror and the images it creates. They use meter sticks to investigate the angles...
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...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
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