Curated OER
Worksheet 25
In this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...
Curated OER
Distance between points
In this distance between points worksheet, students determine the distance between 2 coordinates on a graph. Students complete 10 problems.
Curated OER
Worksheet 1, Coordinate Graphing
In this algebra worksheet, students determine the quadrant a given point is in. They find the midpoints of two line segments. Students plot points to form a triangle and find the distance between points. Students find the area of the...
Curated OER
Distance Calculations
Students calculate the distance between two points. In this geometry lesson, students use coordinates and the distance formula to find the distance. They perform an interactive lesson to solve the missing length.
Curated OER
Moving Straight Ahead
In this functions worksheet, 9th graders solve and complete 24 various types of problems. First, they complete the table with the correct distance for each hour given. Then, students enter the coordinate pairs into the function table...
Curated OER
Walking the Plank: Student Worksheet
In this math worksheet, students will work in a group to experiment with the weight of objects when placed at a distance from a scale (using a plank). Students will record and graph their results.
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third activity in the series. Pupils explore linear equations and describe the points of intersection with a given polygon...
Charleston School District
Sketching a Piecewise Function
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
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...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
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...
Curated OER
Geometric Coordinates
In this geometric coordinates worksheet, students solve and complete 3 different types of problems. First, they use the equations provided to complete the table on the right. Then, students plot the x- and y- coordinates on the graph to...
Curated OER
Transformations in the Coordinate Plane: Reteach
In this transformations worksheet, students review the terms and example diagrams for a translation, reflection, and rotation. Students then identify the coordinates for a triangle after completing the given transformations in the four...
Flipped Math
Reflections
Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...
Curated OER
Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
Illustrative Mathematics
Robot Races
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson plan along with...
Curated OER
Geometry Coordinates
In this geometry worksheet, 10th graders calculate ordered pairs using a table to plot the coordinate pairs to make a graph. There are 3 graphing question.
Curated OER
Coordinate Geometry
In this geometry worksheet, learners calculate the midpoint and distance between two points. They use the correct formula to solve the area and perimeter of polygons. There are 20 multiple choice questions with an answer key.
EngageNY
Writing the Equation for a Circle
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 activity then provides an exercise set for learners to...
Illustrative Mathematics
Walk-a-thon 2
During a walk-a-thon your learners must determine the walking rate of Julianna's progress. Using tables, graphs, and an equation, they must be able to calculate the time it took her to walk one mile and predict her distance based on the...
Illustrative Mathematics
Walk-a-thon 1
Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...
Geophysical Institute
Latitude and Longitude with Google Earth
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...
It's About Time
Newton's Law of Universal Gravitation
While science is looking for correct explanations, pseudoscience often fills in the blanks. Pupils explore the relationship between light distance and intensity and graph their data. Then they compare their data to Newton's Law of...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...