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
Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math
Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...
Curated OER
Points of Intersection
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
Curated OER
Podcasting Parabolas
Students explore parabolas. In this algebra and technology lesson, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas. Students create a podcast with a...
Curated OER
Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis activity, students solve systems of non-linear equations. Examples and explanation are provided. This two-page activity contains approximately three problems.
Curated OER
Using a Graph to Solve a System of Linear Equations
In this Algebra I/Algebra II activity, students use graphing to solve a system of linear equations. The one page activity contains one multiple choice question. Answer is included.
Curated OER
Systems of Equations: What Method Do You Prefer?
Students explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
West Contra Costa Unified School District
Graphing Systems
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity to promote...
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...
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 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 the...
Curated OER
Math 212: Review of Linear Systems
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
Curated OER
Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra instructional activity, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
Curated OER
Worksheet 1 - Equation of a Line
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
Charleston School District
Review Unit 6: Systems of Equations
It's time to show off what they learned! The final lesson in the series is a review worksheet on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Curated OER
Systems of Linear Equations - Standard Form
Students write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...
Curated OER
Solving a System of Equations
In this Algebra II worksheet, 11th graders determine the solution to a system of one linear and one quadratic equation. The two page worksheet contains a combination of nine multiple choice and free response questions. Answers are...
BW Walch
Solving Systems of Linear Inequalities
One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...
Curated OER
Graphing Systems of Equations
For this Algebra II worksheet, 11th graders use graphing to determine the solution to a system of linear equations. The two page worksheet contains explanation and three guided problems. Answers are not included.
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Curated OER
Solving Systems of Equations by Graphing
For this systems of linear equations worksheet, students graph two equations on each coordinate grid. All systems are linear. One of the systems is parallel. The others have one point of intersection.
Curated OER
Take Home Question – Chapter 4
In this graphing linear equations worksheet, learners 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.