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Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
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...
Bowland
Problem Page
Future mathematicians use a given graph to answer a question about age differences in relationships. Along the way, they must find the equation and inequality of given graphs.
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Curated OER
Sets, Relations, and Functions
Sets, relations, functions, and graphing linear equations are practiced in this challenging worksheet. The class determines if a relation is a function or not and find the functional value of a domain element. The one page worksheet...
Curated OER
Buying Coffee
Starbucks or house blend? Pupils analyze the unit rate as the cost per pound of coffee. They use a graph to visualize the unit rate given the cost for a quantity other than one pound.
Teach Engineering
Edible Rovers (High School)
Design and build a rover ... then eat it? This activity has groups of two design and build Mars rovers. The teams determine what instruments they want to include with their rover and plan a budget. They calculate the cost of the body of...
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
Curated OER
Graph Linear Inequalities
Int his algebra worksheet, 11th graders solve linear inequalities using algebra and graph their solution on a graph. They analyze graphs and write an equation for the inequality. There are 4 questions with an answer key.
Curated OER
Spaghetti Palace
In this spaghetti palace worksheet sheet, students examine data and create a scatter plot. They use their graphing calculator to find a linear model and a quadratic model for given information. Students predict total...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors learning exercise, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page learning...
Curated OER
Slope Intercept Form
In this slope intercept form worksheet, students solve and graph 6 different problems that include identifying the slope and intercepts in each graph. First, they determine the line that has a given x-and y-intercept. Then, students find...
Curated OER
Scatterplots and Regressions
In this scatterplots and regressions worksheet, students solve 6 different types of problems related to graphing scatterplots and interpreting regressions. First, they create a scatterplot from the given data coordinates and then,...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Virginia Department of Education
Inequalities
Compare graphing an inequality in one variable on a number line to graphing an inequality in two variables on a coordinate plane. Young mathematicians work on a puzzle matching inequalities and their solutions. They then complete a...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
Curated OER
Solving Linear Systems by Graphing
A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...
Curated OER
Determining the Point of Intersection Using the TI-83 Plus Calculator
Middle and high schoolers graph two lines and identify the point of intersection of each set of line. They use the TI calculator to help them graph and solve. There are six questions with detailed instruction on how to graph correctly.
Curated OER
Graphs & Equations of Lines
In this graphs and equations of lines worksheet, 10th graders solve 12 different problems that include graphs and various equations of lines. First, they determine the slope of a line that passes through two sets of points. Then,...
Curated OER
Linear Equations
In this Algebra I/Algebra II instructional activity, students write the equation of a line given the coordinates of two points on the line. The one page instructional activity contains a combination of three multiple choice and...
Curated OER
Graphs
In this graphing worksheet, 9th graders read one page of graphing examples and complete 8 exercise problems. Each problem involves graphing and coordinates.