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...
Curated OER
Identifying Linear Functions from Graphs
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...
Curated OER
Mystery Liquids: Linear Function
High schoolers determine the linear equations of the density of water and oil by collecting data on the mass of various volumes of each liquid. They construct scatter plots from the data and use these to write the linear equations for...
Mathematics Assessment Project
Solving Linear Equations in One Variable
A thorough and professional appearance characterizes a lesson on linear equations. Maturing mathematicians are taught to identify and exemplify linear equations with a single variable. They also classify equations according to the number...
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
National Math + Science Initative
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry high schoolers. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a...
EngageNY
Which Real Number Functions Define a Linear Transformation?
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Space
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application questions...
Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting from...
Curated OER
Real-World Linear Programming
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
Curated OER
Review Linear Equations
Explore algebra I/algebra II with this series of worksheets. Pupils write linear equations in slope-intercept and standard form, graph linear equations, and apply linear equations to real world applications. The six-page learning...
Texas Instruments
Finding Linear Models Part III
Explore linear functions! In this Algebra I lesson, mathematicians graph data in a scatter plot and use a graphing calculator to find a linear regression and/or a median-median line. They use the model to make predictions.
Kenan Fellows
Applying Linear Regression to Marathon Data
It's not a sprint, it's a marathon! Statistic concepts take time to develop and understand. A guided activity provides an opportunity for individuals to practice their linear regression techniques in spreadsheet software. The activity...
Curated OER
Linear Inequalities
Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Curated OER
Graphing Linear Equations Using a Table of Values
Students explore the concept of linear equations. In this linear equations worksheet, students graph linear equations using tables of values. Students graph 16 linear equations.
Curated OER
Linear Programming
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...
Curated OER
Graphs: Linear Functions
In this linear function instructional activity, students use tables to find the values of functions. They graph linear functions and explore the significance of the coordinates. This two-page instructional activity contains 4 multi-step...
Curated OER
Linear Inequalities in Two Variables
Graph and solve linear equations in two variables. The class relates the concepts of linear equations to the real world.
Curated OER
Application of Linear Systems
Let the learners take the driving wheel! The class solves systems of linear equations and applies the concepts of systems to solve a real-world situation about parking cars and buses. They then use calculators to create a visual of their...
Illustrative Mathematics
Modeling with a Linear Function
Here is a well-designed resource that provides five yes-or-no questions which model different situations with linear functions. It makes a good pre-test for the beginning of the unit. The purpose is to elicit common misconceptions of...
Curated OER
Linear Programming
In this linear programming worksheet, students solve and complete 6 different word problems related to programming. First, they define the variables in each problem and write a system of inequalities. Then, students graph the...
Curated OER
Cups & Chips - Solving Linear Equations Using Manipulatives
Algebra students use manipulatives to solve linear equations. They use manipulatives, symbolic methods, and substitution to demonstrate each algebraic solution.
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