Curated OER
Perpendicular Lines worksheet
For this algebra worksheet, students are given a coordinate pair, and the equation of a line. They must find the equation of a line that is perpendicular to the given line. There are 6 questions with an answer key.
Curated OER
Medians and Altitudes of Triangles
In this geometry worksheet, 10th graders determine if a given segment is a median or altitude of a triangle and use then find the indicated missing length or equation of a line. The two page worksheet contains twenty...
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
Introduction to Graphing
In 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,...
Curated OER
Find A System
Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.
Radford University
Linear Equations in Real Word Problems
Make up a story about a linear graph. Scholars identify key features of a linear graph, such as intercepts, domain and range, and slope. They then create a word problem that could be represented by the graphed line.
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...
Teach Engineering
Linear Regression of BMD Scanners
Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...
Curated OER
Area of Regions
In this area of regions worksheet, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page worksheet contains...
Curated OER
Equation of a Line
In this equation of a line worksheet, 9th graders solve and complete 7 different problems. First, they find all values of the constant k, if the line contains the given points. Then, students write an equation of the line which passes...
Curated OER
Linear Modelling of the Life Expectancy of Canadians
Middle and high schoolers explore the concept of linear modelling. In this linear modelling lesson, pupils find the line of best fit for life expectancy data of Canadians. They compare life expectancies of men and women, and find...
Del Mar College
All About Lines
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.
EngageNY
Existence and Uniqueness of Square Roots and Cube Roots
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
Curated OER
Determining the Density of a Drop of Water-A Graphing Exercise
Students determine the density of 1 drop of water. In this determining density lesson plan, students determine the mass and volume of a drop of water in the lab using appropriate lab techniques and calculate the density of a drop of water.
Curated OER
Lines, Lines, Everywhere
Learners explore linear equation suing real life scenarios. In this algebra lesson, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions.
Curated OER
Graphs and Equations
In this graphs and equations worksheet, students solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions of...
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Curated OER
Solving Polynomial Equations
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
EngageNY
Segments That Meet at Right Angles
Can segments be considered perpendicular if they don't intersect? Learners look at nonintersecting segments on the coordinate plane and make conclusions about the lines that contain those segments. They determine if they are...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...