Interactive
CK-12 Foundation

Position and Displacement Simulation

For Students 9th - 12th Standards
How can we use vectors to determine a person's position when traveling? The simulation offers guided practice at determining the coordinates and the distance between coordinates on a map grid. It reinforces the importance of positive...
Lesson Plan
EngageNY

Distance on the Coordinate Plane

For Students 6th Standards
Scholars learn how to find the distance of vertical and horizontal line segments on the coordinate plane in the 19th installment of a 21-part module. The use of absolute value comes in handy.
Lesson Plan
Curated OER

Triangle Congruence with Coordinate

For Teachers 7th - 9th Standards
Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.
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Curated OER

Reflecting Reflections

For Teachers 7th - 9th Standards
A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens learners' skills when it comes to reflection on the coordinate plane.
Lesson Plan
EngageNY

Ordered Pairs

For Students 6th Standards
Scholars learn to plot points on the coordinate plane. The activity introduces the idea that the first coordinate of a coordinate pair represents the horizontal distance and the second coordinate represents the vertical distance. 
Lesson Plan
EngageNY

How Do Dilations Map Segments?

For Students 9th - 10th Standards
Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions. 
Worksheet
Scholastic

Volleyball Road Trip

For Teachers 2nd - 5th Standards
Review coordinate mapping with your young geographers by matching cities on a volleyball team's road trip itinerary to their appropriate coordinate locations. 
Lesson Plan
Polar Trec

The Amazing Antarctic Trek

For Teachers 5th - 8th
This resource provides two ways to engage learners in using latitude, longitude, and research skills. In pairs, or on their own, learners will locate several Antarctic regions on a map. They will write the name of the place and a few key...
Lesson Plan
EngageNY

Vectors and Translation Maps

For Teachers 11th - 12th Standards
Discover the connection between vectors and translations. Through the activity, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
Lesson Plan
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Geophysical Institute

Latitude and Longitude with Google Earth

For Teachers 9th - 12th
Travel the world from the comfort of your classroom with a lesson that features Google Earth. High schoolers follow a series of steps to locate places all over the earth with sets of coordinates. Additionally, they measure the distance...
Unit Plan
Core Knowledge Foundation

Maya, Aztec, and Inca Civilizations

For Teachers 5th Standards
A 10-lesson unit explores the Maya, Aztec, and Inca civilizations. Over the course of two weeks, scholars read nonfiction excerpts, discuss their findings, and complete activities. An assessment equipped with multiple choice and matching...
Lesson Plan
Space Awareness

Valleys Deep and Mountains High

For Teachers 8th - Higher Ed
Sometimes the best view is from the farthest distance. Satellite imaging makes it possible to create altitude maps from far above the earth. A three-part activity has your young scientists play the role of the satellite and then use...
Lesson Plan
California Mathematics Project

Reflections

For Students 8th - 10th Standards
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
Lesson Plan
Space Awareness

How To Travel On Earth Without Getting Lost

For Teachers 3rd - 7th Standards
Have you ever wanted to travel the world? Take a virtual trip with a geography lesson that uses longitude and latitude, the position of the sun, an astronomy app, and a classroom globe.
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Lesson Plan
EngageNY

How Do Dilations Map Lines, Rays, and Circles?

For Students 9th - 10th Standards
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
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Illustrative Mathematics

Similar Triangles

For Teachers 9th - 11th Standards
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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Illustrative Mathematics

Why Does SSS Work?

For Teachers 9th - 10th Standards
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
Unit Plan
Australian Government

The Great Artesian Basin

For Teachers 6th - 8th Standards
Covering 23% of the continent and holding 64,900 cubic kilometers of water, the Great Artesian Basin is the primary source of water for much of inland Australia. Using detailed student worksheets, experiments, and case studies,...
Lesson Plan
Alabama Learning Exchange

Triangle Congruence with Rigid Motion

For Students 9th - 12th Standards
Combine transformations and triangle congruence in a single lesson. Scholars learn to view congruent triangles as a rigid transformation. Using triangle congruence criteria, learners identify congruent triangles and the rigid...
Lesson Plan
EngageNY

Projecting a 3-D Object onto a 2-D Plane

For Teachers 11th - 12th Standards
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
Lesson Plan
EngageNY

Examples of Dilations

For Teachers 8th Standards
Does it matter how many points to dilate? The resource presents problems of dilating curved figures. Class members find out that not only do they need to dilate several points but the points need to be distributed about the entire curve...
Lesson Plan
EngageNY

Rotations of 180 Degrees

For Students 8th Standards
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Lesson Plan
EngageNY

Motion Along a Line – Search Robots Again

For Students 9th - 12th Standards
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...