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...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
EngageNY
Comparing Linear Functions and Graphs
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
EngageNY
Solving a Linear Equation
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson plan presents linear equations that scholars...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
Charleston School District
Equations of Linear Functions
Teaching linear function relationships using contextual information is beneficial to pupils' understanding. The lesson uses problem solving to build linear functions given different information for each problem. This is the second in a...
Charleston School District
Tables of Linear Functions
Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...
Charleston School District
Review Unit 4: Linear Functions
It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.
EngageNY
Solutions of a Linear Equation
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
Curated OER
Linear Functions
In this algebra learning exercise, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Curated OER
Graphing Linear Equations on the TI-73
Eighth graders work in pairs with a TI-73 graphing calculator to complete a multiple-choice review using the Classroom Performance System. Each team uses a remote unit to "click in" the answers. When all teams have completed the review,...
Curated OER
Linear Programming
In this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Curated OER
Lesson Plan 2: Hot Dog Sales - Solving Linear Equations and Inequalities
This lesson plan will provide students with an introduction to solving equations and inequalities numerically (using a table), graphically, and algebraically. they devise a table that would produce information about the number of hot...
Curated OER
Linear Equations
Eighth and ninth graders solve and graph 42 different problems that include writing various equations and graphing them on a grid. First, they create a table for each equation and graph it on a grid locating the x-and y-intercepts. Then,...
Curated OER
Simple Linear Equations - Including Fractions (B)
Middle schoolers solve 18 equations with a variable and an extra number operation. Example: 5 + 7f= 33.
Curated OER
Simple Linear Equations (B)
Learners solve 18 equations by isolating the variable using the inverse operation. They determine the value of each variable.
American Statistical Association
Nonlinear Modeling: Something Fishy
There are plenty of fish in the sea, but only a few good resources on regression. Young mathematicians first perform a linear regression analysis on provided weight and length data for fish. After determining that a linear model is not...
CK-12 Foundation
Linear Inequalities: Concert Tickets
Profit from this resource on linear inequalities. A slider interactive lets users see how the profit on band ticket sales changes with the number of tickets. A set of challenge questions provides some situations for learners to consider.
Curated OER
Graphing Linear Functions
In this linear functions worksheet, students graph 3 linear functions. Students graph each function by making a table of values given a linear function in standard form.
Curated OER
Graphing Linear Functions Two
Use this graphing linear functions worksheet to have learners graph three linear equations. They use a table of values, the intercept method, and slope-intercept form to graph three functions.
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