Curated OER
Graphing Linear Equations with Two Variables
Can your class solve linear equations in two variables? They will be able to after they engage in this lesson. Individuals graph linear equations in two variables using slope and intercept and identifying the relationship between the x...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
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...
Mathematics TEKS Toolkit
Grade 6: Exploring c/d = pi
Introduce your math class to the perimeter of a circle. Teach them that pi describes the relationship between the circumference and the diameter. As a hands-on investigation, pairs or small groups use string to compare these two values...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
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...
Curated OER
Taking Its Toll
Students explore ratios. For this rates lesson, students create a ratio to compare the price of a toll to the distance travelled. They compute the average cost per mile, determine the slope between two ordered pairs, and make...
Curated OER
Geometric Coordinates
In this geometric coordinates activity, learners 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...
101 Questions
The Mystery Line
Take the mystery out of linear functions. Provided an image with no scale, learners guess where the line that connects them might cross the y-axis. After providing the coordinates of the points, they realize scale is an important...
Curated OER
Let's Go Slopey
Students create a table of values to graph a line. In this algebra instructional activity, students identify the slope and intercept of a linear equation. They use a Ticalculator to graph their function.
Curated OER
It's a Drag!
Students create number lines using decimals and whole numbers. In this algebra lesson, students graph and solve linear equations. They plot ordered pairs on a coordinate plane correctly.
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 along with three...
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 lesson then provides an exercise set for learners to...
Radford University
“FUN-ctions” Find the Equation of a Scream
Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...
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...
Alabama Learning Exchange
Human Slope
Middle and high schoolers explore the concept of slope. In this slope instructional activity, learners graph lines using a life-size graph. They use chalk on a blacktop to create a coordinate plane and use each other as the tick marks on...
Curated OER
Slope-Intercept Form of a Line
Using the subscriber website Explorelearning.com, young mathematicians observe changes in the slope and y-intercept and their effect on the graph of lines. This activity helps students develop an intuitive sense of the connection between...
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...
Curated OER
Typhoon Project
Learners graph and outline the path of a typhoon. In this algebra lesson plan, students measure the path of the typhoon and create a graph with their data. They analyze the data and make predictions.
Curated OER
Integers and the Number Line
In this integers and number line worksheet, learners solve and complete 27 different problems that include identifying integers on a number line. First, they name the coordinate of each point on a number line. Then, students graph each...
Curated OER
VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
Curated OER
Conic Sections
Students explore the different properties of conics. In this algebra lesson, students calculate the midpoint of a line, the distances between two points as they get ready to find the focus and directrix in eclipse and other conics. They...