Curated OER
A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
Curated OER
Coordinate Grid: Area and Circumference of Circles
Here is a geometry activity in which learners plot the points of a circle onto a coordinate grid and proceed to calculate the area or circumference of the circle. There are four questions.
Curated OER
An Introduction to the Coordinate Plane
In this geometry worksheet, students plot points on a coordinate plane and identify the different quadrants each point is in. They have to be able to identify coordinate pairs, given the points on the graph. There are 62 questions.
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
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Curated OER
Coordinate Plane
In this coordinate plane learning exercise, 10th graders solve and graph 21 different problems that include various pairs of points. First, they write the ordered pair for each point on the first grid. Then, students name the quadrant in...
Curated OER
Coordinate Plane Worksheets - Area of Rectangle
In this online math activity, students calculate the area of a variety of rectangles given the measure of their vertices. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Kuta Software
Reflections of Shapes
In this reflection of shapes worksheet, learners graph images on a coordinate plane. They reflect the image and sketch it on the graph. They write a rule to describe the transformation. This four-page worksheet contains 14 problems....
Math Worksheets 4 Kids
Translation Worksheet
In this translation worksheet, pupils translate points according to given expressions. They plot points on a coordinate plane. This two-page worksheet contains five problems. Answers are provided on the last page.
Corbett Maths
Coordinates and Shapes
Where is the point? Given three points on the coordinate plane, the video walks through the steps to find the location of the fourth point to create a given special quadrilateral. The narrator first determines the coordinates of the...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
EngageNY
Perimeter and Area of Triangles in the Cartesian Plane
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They then...
Curated OER
The Coordinate Plane
In this coordinate plane worksheet, 10th graders solve 20 various types of problems all related to identifying point on a coordinate plane. First, they graph each point on the coordinate plane at the top. Then, students determine the...
Curated OER
Cartesian Coordinates
For this Cartesian coordinates worksheet, 11th graders solve and complete 4 different multiple choice problems. First, they express each of the Cartesian coordinates provided as polar coordinates. Then, students find the Cartesian...
Curated OER
Measuring Segments
Middle and high schoolers solve 14 problems that include finding the distance between two points in different situations. First, they refer to a number line to find the measure of each point on the line. Then, pupils refer to the...
Flipped Math
Rotations
Turn the class around. Scholars define rotations of multiples of 90 degrees and create algebraic mappings for them. After an introduction to symmetry, pupils determine which letters of the alphabet have rotational and reflectional...
Curated OER
Gradients of Parallel Line Segments
In this gradient worksheet, students draw line segments and determine if they are parallel. They plot points on a coordinate plane and calculate the gradient of each created line. This five-page worksheet contains 8 multi-step problems....
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...
Flipped Math
Equations of Lines in the Coordinate Plane
What, you mean there is algebra in a Geometry class? Pupils review graphing and writing the equations of lines in slope-intercept form. The instruction follows the "I do, we do, you do" framework of a lesson. The instructor first...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
Illustrative Mathematics
Coordinates of Equilateral Triangles
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...
Curated OER
Midpoints and Segment Congruence
In this midpoint worksheet, learners use a number line to find the midpoint of a line segment. Next, they find the midpoint of a line using the coordinate plane. Examples of how to use each method are given at the beginning of the...
Curated OER
Functions, Domains and Composites
In this functions, domains and composites worksheet, students solve and complete 23 various types of problems. First, they graph the given trigonometric function on a coordinate plane. Then, students label three points on each graph and...