Curated OER
Systems of Linear Inequalities
Graphing systems of linear inequalities is the focus of this instructional activity. Problems range from checking solutions of inequalities, graphing systems of two inequalities, and graphing systems of three inequalities. Graphing...
Curated OER
The Number of Solutions for a System of Equations.
Students define lines as dependent, independent and no solution. In this algebra lesson, students identify the type of solutions produces by systems of equations. They discuss the type of lines formed given a linear pair.
Curated OER
Are We Sure They Are Parallel?
Fourth graders explore the definition and properties of parallel lines. This high level lesson plan has students calculate the slope of the two parallel lines, and draw the lines on a Caretsian coordinate system.
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
Solving Systems of Equations
Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations lesson, they work through problems of solving systems by substitution, elimination, and graphing....
Curated OER
Lines of Slope
In this lines of slope worksheet, 9th graders solve and complete 40 various types of problems. First, they find the equation of the lines described and write in slope-intercept form. Then, students graph each equation. They also find the...
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
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...
Concord Consortium
Shooting Arrows through a Hoop
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
CK-12 Foundation
Zeroes and Intercepts of Polynomials: Function Intercepts
There is zero reason not to use the resource. Given a graph with a polynomial function and a linear function, scholars move the line in an interactive. To wrap up the lesson, they note how zeros and intersection points change.
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. For this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Curated OER
Systems of Equations
Young scholars solve systems of equations. In this algebra lesson, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.
Curated OER
What is a Solution to a System?
Learners define the solution to a system of equation. In this algebra lesson, students graph two line on the TI calculator and identify the point of intersection if there is any. They find one, zero or infinitely many solution and...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Speed—Problem Set F
Get three planes to line up safely. Individuals work through a set of problems to eliminate spacing conflicts between three airplanes in flight. The pupils use their knowledge to change the airplanes' speed or route to meet a...
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
Del Mar College
Solving Systems of Equations
Lets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...
Curated OER
NUMB3RS Activity: Regular Ploygon Centroids
Students investigate geo-profiling. In this secondary mathematics instructional activity, students use geo-profiling to determine the most probable location of a criminal. Students find the centroid of a polygon where the vertices...
Curated OER
A Point of Intersection
Learners factor and solve systems of equation. In this algebra lesson, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.
Curated OER
Solving Compound Inequalities
In this compound inequalities worksheet, 9th graders solve and complete 7 different problems that include graphing various inequalities on a number line given. First, they graph the solution set of each compound inequality. Then,...
Curated OER
Solving Polynomial Equations
This learning exercise 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...
Curated OER
Whose Line is it Anyway?
Students solve systems of equations. In this algebra lesson, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
Curated OER
Solving Systems of Equations by Graphing
In this systems of equations worksheet, students solve each system of equations by graphing on a coordinate plane. Students identify the solution to the equations by the intersection of the two graphs. They also observe that parallel...
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...