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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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Worksheet
Curated OER

MT-A314 Introduction to Linear Algebra Worksheet 1.4(b)

For Students 10th - 11th
A linear algebra worksheet where pupils explore three linear equations and use Gaussain elimination to solve the system of equations. They identify values that have no solution, one solution, and many solutions. There is one open-ended,...
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Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
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Lesson Plan
EngageNY

Which Real Number Functions Define a Linear Transformation?

For Teachers 11th - 12th Standards
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...
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Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
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...
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Lesson Plan
Curated OER

Mystery Liquids: Linear Function

For Teachers 9th - 12th
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...
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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...
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Lesson Plan
1
1
Mathematics Assessment Project

Solving Linear Equations in One Variable

For Teachers 7th - 9th Standards
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...
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Worksheet
Curated OER

Linear Systems: Applications of Linear Algebra to Differential Equations

For Students 12th - Higher Ed
In this differential equations activity, students solve systems of simultaneous differential equations using linear algebra. This six-page activity contains approximately six problems, with explanations and examples.
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Worksheet
Curated OER

Linear Systems: Fundamental Theorem of Linear Algebra

For Students 11th - Higher Ed
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Worksheet
Waterloo Mathematics

Grade 7 Patterning and Algebra: Algebraic Expressions

For Students 6th - 8th Standards
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
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Lesson Plan
1
1
West Contra Costa Unified School District

Linear-Quadratic Systems

For Teachers 8th - 10th Standards
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
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Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
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...
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Worksheet
Curated OER

MT-A315I introduction to Linear Algebra

For Students 11th - 12th
In this linear algebra worksheet, students apply the basics of algebraic reasoning to evaluate different expressions looking for the pattern of finding the unknowns.
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
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Lesson Plan
Curated OER

Cups & Chips - Solving Linear Equations Using Manipulatives

For Teachers 8th - 10th
Algebra students use manipulatives to solve linear equations. They use manipulatives, symbolic methods, and substitution to demonstrate each algebraic solution.
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Lesson Plan
Curated OER

Lesson Plan 2: Hot Dog Sales - Solving Linear Equations and Inequalities

For Teachers 7th - 9th
This lesson 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 dogs...
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Worksheet
Curated OER

Simple Linear Equations (D)

For Students 5th - 8th
Super simple equations are yours for the solving. This worksheet includes 15 simple linear equations for learners to solve and an answer sheet.
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Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
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...
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Worksheet
Curated OER

Graphing Linear Equations

For Students 8th - 10th
In this graphing linear equations worksheet, students plot 22 lines on their coordinate grids. When directions are followed carefully, the result is a picture.
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PPT
1
1
BW Walch

Solving Systems of Linear Equations

For Teachers 8th - 9th Standards
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
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eBook
Rice University

Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
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eBook
Rice University

Elementary Algebra

For Students 8th - 10th Standards
Find all the Algebra 1 content in one location. A helpful eBook contains the content typically found in an Algebra 1 course. Concepts range from solving and graphing linear equations to solving and graphing quadratic equations. Pupils...
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Lesson Plan
EngageNY

Comparing Linear and Exponential Models Again

For Students 9th - 10th Standards
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...

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