Curated OER
Find Slope
In this algebra worksheet, 9th graders are given a pair of coordinates and asked to find the slope of the line using the point slope formula. There are 5 questions with an answer key.
Curated OER
Find Slope from the Graph
For this algebra worksheet, students are given a graph with a line and two points and are expected to find the slope. There are 4 problems with an answer key.
Curated OER
Geometry Concepts and Applications
In this concepts and applications review worksheet, 10th graders solve and complete 40 various types of multiple choice problems. First, they write the equation of a vertical line passing through a point. Then, students find the...
NOAA
Biological Oceanographic Investigations – What's in That Cake?
Have you ever tried to find hidden items in a picture when you don't know what you are looking for or how many things are hidden? A lesson plan applies that same concept to sampling the deep sea habitats. Participants must first...
Curated OER
Graphing Linear Equations
Eighth graders examine linear equations by creating graphs from them. In this graphing lesson, 8th graders read several linear equations and plot them on a graph with the help of their classmates. Students find the slope of...
Curated OER
Write the Equation of a Line Given the Slope and a Point
Students write the equation of a line given the slope and y-intercept. In this algebra lesson plan, students are given a point a the line and the slope of the line and are asked to write an equation of the line. They relate lines to real...
Curated OER
Functions and Slopes
In this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing.
Willow Tree
Graphing
So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...
Curated OER
Slope
Looking for a great handout on slope? This resource makes a great study guide with the definition, diagrams, and the formula. Learners use coordinates to calculate the slope of lines. Positive, negative, zero, and undefined slope...
Mathematics Vision Project
Module 6: Connecting Algebra and Geometry
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Curated OER
Worksheet 24 - Derivative
For this derivative worksheet, pupils identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
Curated OER
Parallel and Perpendicular Lines
Young geometers get some solid skills practice in evaluating slopes. Beginning with the basics of slope through two points and progressing through properties of parallel and perpendicular lines, the building of skills is gradual and...
Curated OER
Least Squares
In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...
Curated OER
Introduction to Graphing
For this graphing worksheet, students graph linear equations on a coordinate plane. Students identify the slope and y-intercept of each problem, find the midpoint of a line, and the distance between given points. Given an equation,...
Charleston School District
Applications of the Pythagorean Theorem
Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths.
Radford University
Plumbing Task
Make sure it flows smoothly. Pairs research plumbing codes to find the required slope for a sewer line. Using the information, groups answer several questions involving interpreting the slope. Pupils determine the cost of pipe to run a...
Radford University
Buying A Car
What is my monthly payment? Scholars research to find the perfect car for them to buy. Using the cost of the car, they determine a down payment and the amount of monthly payments using a zero interest loan. Finally, they investigate what...
Education Development Center
Finding Parallelogram Vertices
Four is the perfect number—if you're talking about parallelograms. Scholars determine a possible fourth vertex of a parallelogram in the coordinate plane given the coordinates of three vertices. They read a conversation...
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...