Cartesian Coordinates Teacher Resources

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Lesson Plan
Curated OER

Translation and Rotation of Axes

For Teachers 11th - 12th
Young scholars rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of...
Worksheet
Curated OER

Graphing Points Worksheet

For Students 6th - 8th
In this graphing points activity, students plot ordered pairs on a coordinate plane. They graph 20 given problems, with 10 problems requiring students to graph two or more points.
Worksheet
Curated OER

Solution Sets

For Students 9th
In this solution set worksheet, 9th graders solve 5 different problems that include graphing on the x- and y-axis. First, they solve each inequality as needed. Then, students graph the solution set found in each on the coordinate plane...
Interactive
Shodor Education Foundation

Polar Coordinates

For Students 11th - Higher Ed Standards
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Lesson Plan
Curated OER

Slope, Vectors, and Wind Pressure

For Teachers 9th - 11th
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...
Worksheet
Curated OER

Coordinate Graphs

For Students 4th - 6th Standards
As you introduce coordinate graphs to scholars, be sure to use guided worksheets like this one. Using an example for guidance, they write the coordinates of five points on a graph, each distinguished as a shape symbol. Next, scholars do...
Instructional Video2:23
Curated OER

How Do You Find the X-Coordinate of a Point on a Line If You Have Another Point and the Slope?

For Teachers 8th - 10th
Use the slope formula to find the missing coordinate. You've been given all the needed information to solve this problem. So all you need to do is plug in the values and solve for the missing variable value.
Worksheet
Curated OER

Coordinates

For Students 5th Standards
For beginning point plotters, these graphs give a good introduction. They examine a graph with shapes drawn onto it and each vertex labeled. There are 20 total, and scholars write the coordinates of each labeled point. All of these are...
Worksheet
Curated OER

Dilations and Similarity

For Students 8th - 10th Standards
In this dilations and similarity learning exercise, pupils solve 10 different problems that include various dilations. First, they determine the scale factor of dilations found in the illustrated graphs. Then, everyone determines the...
Worksheet
Curated OER

Easter Graphing Fun

For Students 1st - 2nd
Graphing can be festive! This Easter worksheet has scholars using coordinates to record the location of ten holiday images. The first is done for them, and the grid is large and appealing to younger learners. Consider visualizing this...
Assessment
Illustrative Mathematics

Coordinates of Equilateral Triangles

For Students 9th - 12th Standards
Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean...
Worksheet
Curated OER

Graph Picture (Coordinate Pairs)

For Students 3rd - 5th Standards
Coordinate graphing on a grid is the focus of this worksheet. Young mathematicians plot 42 coordinate pairs on a graphing grid, then connect the dots to make a picture. A fun way to get your learners involved in graphing!
Worksheet
Curated OER

Graph Picture (Coordinate Pairs) 2

For Students 3rd - 5th Standards
Looking for an engaging way to encourage your class to practice graphing coordinate pairs? This might be the activity you are looking for! For this learning exercise, learners create a picture by plotting 54 coordinate pairs on graph and...
Worksheet
Curated OER

Graph Picture (Coordinate Pairs) 3

For Students 3rd - 5th
Here is a very good coordinate graphing worksheet. Learners practice graphing by plotting 58 coordinate pairs, then connecting the dots to reveal a picture. This resource could be used as an in-class activity or a homework assignment.
Instructional Video2:47
FuseSchool

Introduction to Graphs: Axis and Coordinates

For Students 6th - 8th Standards
Axis, coordinates, quadrants, oh my! Review graphing vocabulary with your classes with a quick video lesson. The instructor explains the vocabulary and provides problems for learners to try as they watch.
Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 1)

For Students 9th - 10th Standards
Understanding how functions transform is a key concept in mathematics. This introductory instructional activity makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses...
Instructional Video9:52
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3Blue1Brown

Vectors, What Even Are They? | Essence of Linear Algebra, Chapter 1

For Students 11th - Higher Ed Standards
Take a look at vectors as geometric objects and then as an algebraic concept. The second video in a series of 15 introduces the vector using three perspectives: the physics, computer science, and mathematical. The resource shows the...
Assessment
Mathematics Assessment Project

Square

For Students 8th - 12th Standards
Don't be a square! Young mathematicians determine the slope and length of a line segment. They then prove whether four given coordinate points form a square.
Lesson Plan
West Contra Costa Unified School District

Graphing Piecewise Functions

For Teachers 8th - 10th Standards
Step up to learn about step functions. The lesson, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and...
Instructional Video7:09
Curated OER

What is the Domain of a Relation?

For Students 6th - 12th
The teacher illustrates several ways to look at what the domain is in a set of numbers. Input, output, table, graphs, and diagrams are a few of the ways in which she illustrates the meaning of domain.
Instructional Video7:22
Curated OER

What is Domain?

For Students 8th - 11th
The teacher illustrates several ways to look at what the domain is in a set of numbers. Input, output, table, graphs, and diagrams are a few of the ways in which she illustrates the meaning of domain.
Worksheet
Curated OER

Applications of the Pythagorean Theorem - Magnetism

For Students 8th - 12th
Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values...

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Cartesian Coordinates