Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
Teach Engineering
Spring Away!
The last segment of the nine-part unit makes a connection between springs and linear equations. Groups hang weights from the spring and measure its length. Then, using the data collected, they calculate the slope to find the k-value...
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
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra activity. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
Center for Math and Science Education
Slump Model
Although it appears that this cut-out paper model makes a welcome activity, it is challenging to construct. It displays a square area of a town on a plateau undergoing slump or slope movement. While it is an outstanding model, the time...
Curated OER
Slope, slope-Intercept Form and Standard Form
Students investigate and solve linear equations using slopes. In this algebra activity, students graph lines using the slope and y intercept. They also find the slope by rewriting their equation in to slope-intercept form from standard...
Curated OER
Slopes of Lines
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
Curated OER
Slopes, Slope-Intercept Form, Standard Form
Students identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the slope...
Curated OER
Slope of Line
In this algebra worksheet, students calculate the slope of a line. They graph a linear equation given the slope and y-intercept and identify the slope and y-intercept given a linear graph. There are 15 questions.
Curated OER
Slope Fields
Twelfth graders define and sketch slope fields. In this calculus lesson, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their work for the...
Curated OER
Getting Started with the TI-Navigator™ System: What's My Line?
Learners analyze linear functions in this algebra lesson. They explore the meaning of slope and the slope-intercept form of a line as they investigate the effect changing parameters on the graph of a linear function.
Curated OER
Graphing Lines
In this graphing lines worksheet, students graph lines that are in the point-slope form. They identify the y-intercept and the slope. They graph the equation of a line on a coordinate plane. This four-page...
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...
Curated OER
Linear Functions
In this linear function activity, students examine graphs and determine the slope, the y-intercept and the equation of a line. They identify parallel and perpendicular lines. This two-page activity contains 3 multi-step problems.
Curated OER
Analytic Geometry
In this analytic geometry worksheet, 9th graders graph and solve 13 different types of problems that include determining whether equations are linear to matching given equations to their corresponding equation in the second column....
Curated OER
Flight of Angles of Inclination
Students measure the flight of a gilder. In this fight of angles lesson, students explore the flight of a glider and measure the distance flown. They collect statistical data of the flights and determine the slope of each flight. ...
Curated OER
Mine Shaft Grade 8 Slope
Eighth graders investigate slopes using real life scenario. In this algebra lesson, 8th graders model and interpret real life data. They plot their data in a coordinate plane and discuss the results with the class.
Curated OER
Take Home Question – Chapter 4
In this graphing linear equations worksheet, students solve 8 short answer and graphing problems. Students graph linear equations, find their points of intersection, find the slope of each line, identify the constructed quadrilateral, etc.
Curated OER
Keep it Bottled Up: Linear Rates of Pressure Increase
Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...
Curated OER
Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
Curated OER
Equation of a Straight Line Worksheet
In this equation of a straight line worksheet, students find the equation of 4 lines in slope intercept form. Students produce the linear equation of a line given its' graph.
Curated OER
Slope
In this slope learning exercise, students solve and complete 3 different types of problems. First, they find the slopes of the lines passing through each sets of coordinate pairs. Then, students find the parameter so that the line...
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