Curated OER
Two Investigations of Cubic Functions
Through learning about cubic functions, students graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Curated OER
Slope, Intercepts, and Graphing a Line
In this intercepts and slope worksheet, learners find the slope and/or the x and y-intercepts in fifty-three problems. Students also graph lines using the x and y-intercepts.
Curated OER
Algebra 1: Slope as Rate
Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
Curated OER
Math Mediator Lesson 10: Slope
Pupils explore the concept of slope. In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson includes a real-world problem in which the height...
Curated OER
Building Understanding of Rate of Change/Slopes Using Alice
Students explore slope as a rate of change. For this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
Curated OER
Graphing Functions With 2 Points and From a Graph
Students plot points on a coordinate plane. They describe, in words, methods for finding the slope of a line. After given a worksheet, students read instructions, draw a Cartesian plane, plot ordered pairs, and graph lines. Papers are...
Curated OER
Take Home Question
In this slope and perpendicular lines worksheet, students solve 5 short answer problems. Kids find an unknown coordinate given two points, a perpendicular line, and a slope. Students find the centroid of a triangle.
Curated OER
Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Curated OER
Finding Slope of a Line
Learners calculate the slope of a line. In this algebra lesson, students graph a line using the slope and y-intercepts. They define the steepness of the line using the slope.
Curated OER
Worksheet 8 - Limit of Slopes
In this limit of slopes worksheet, pupils compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
West Contra Costa Unified School District
Discovering Slope of a Line in Standard Form
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the...
Curated OER
Mathematical Analysis of Temperature Scales
Students use the point-slope formula to determine the relationship between the Celsius and Fahrenheit scales of temperature. They use a graphing calculator to determine the slope of the line between two points in each scale.
Mathalicious
Domino Effect
Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
Charleston School District
Review Unit 8: Geometry Applicaitons
Pupils complete a review worksheet that highlights the key problems from the first eight lessons in the series. Topics include the Pythagorean Theorem and its converse, as well as finding volume of three-dimensional figures.
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson plan begins with looking at limits of simple linear and rational functions, and leads to the definition of...
Curated OER
Graphing Equivalent Fractions
Students graph families of equivalent fractions and compare them by observing the slope of the line formed by each fraction family. They place fractions in ascending order by comparing the slopes of each line after several families of...
Curated OER
The Cartesian Plane
Learners solve and complete 22 various types of problems. First, they find the gradients of the lines and plot the given points. Then, they complete the table of values for each equation and use the table to draw the graph.
Curated OER
Linear Equations
In this Algebra I worksheet, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line. The five page worksheet contains ten...
Curated OER
Slope and Topographic Maps
Students investigate slopes as they study topographic maps. In this algebra instructional activity, students discuss and apply the concept of slopes to graphing and analyzing data.