Lesson Plan
K20 LEARN

Airplanes and Airstrips, Part 2

For Teachers 9th Standards
Table the decision to land. Pupils form flight crews by matching up different representations of linear equations. Given a set of coordinates for an airstrip, the crews determine the equation of the line that will position their planes...
Handout
Del Mar College

For Students 7th - 10th Standards
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...
Printables

Write a Linear Equation Foldable

For Teachers 7th - 10th Standards
Simplicity and organization accompany the learning of linear equations in this handy foldable. Step by step, learners write a linear equation given two points, and then write a linear equation when given a graph. The point-slope...
Lesson Plan
Curated OER

Identifying Linear Functions from Graphs

For Teachers 6th - 9th
Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...
Lesson Plan
Beyond Benign

The Big Melt: Arctic Ice Caps

For Teachers 9th - 12th Standards
Are the Arctic ice caps really melting out of existence? Junior climatologists examine the statistics of ice decline through four math-based lessons. Each activity incorporates data, climate information, and environmental impact into an...
Interactive
CK-12 Foundation

Inverse Functions

For Students 11th - Higher Ed Standards
Provide a graphical view of inverses. Pupils manipulate points on a line and see the relationship of the graph with the graph of its inverse. Using the relationship between the graphs, scholars respond to questions concerning inverses...
Interactive
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GeoGebra

All For One, One For All

For Students 9th - 12th Standards
Will someone please constrain those pets? Pupils create two constraint equations on the number of cats and dogs for a pet sitter. They choose specific points and determine whether the point satisfies one or both constraints. The...
Lesson Plan
EngageNY

The Slope of a Non-Vertical Line

For Teachers 8th Standards
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
Lesson Plan
Virginia Department of Education

Equations of Lines

For Teachers 7th - 9th Standards
Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then play a...
Lesson Plan
EngageNY

There is Only One Line Passing Through a Given Point with a Given Slope

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

Representations of a Line

For Teachers 8th Standards
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
Lesson Plan
EngageNY

Interpreting Rate of Change and Initial Value

For Teachers 8th Standards
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
Lesson Plan
EngageNY

Modeling Linear Relationships

For Teachers 8th Standards
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.
Lesson Plan
EngageNY

Geometric Interpretations of the Solutions of a Linear System

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

The Defining Equation of a Line

For Teachers 8th Standards
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The instructional activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
Lesson Plan
EngageNY

Every Line is a Graph of a Linear Equation

For Teachers 8th Standards
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
Lesson Plan
EngageNY

The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

The Computation of the Slope of a Non-Vertical Line

For Teachers 8th Standards
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
Assessment
1
1
Balanced Assessment

Fit-Ness

For Students 11th - 12th
Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...
Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Assessment
1
1
Mathematics Assessment Project

Middle School Mathematics Test 3

For Students 6th - 8th Standards
Real-life mathematics is not as simple as repeating a set of steps; pupils must mentally go through a process to come to their conclusions. Teach learners to read, analyze, and create a plan for solving a problem situation. The provided...
Assessment
Del Mar College

Algebra Assessment Review

For Students 10th - Higher Ed Standards
Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.
Lesson Plan
National Research Center for Career and Technical Education

Safety and Sanitation

For Teachers 9th - 12th Standards
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson plan.