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Illustrative Mathematics

Toilet Roll

For Teachers 9th - 11th Standards
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
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Lesson Plan
EngageNY

Modeling Video Game Motion with Matrices 1

For Teachers 11th - 12th Standards
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
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Lesson Plan
Curated OER

Using Algebra

For Teachers 6th
Sixth graders explore mathematics by completing equations in a math notebook. They will collaborate in small groups to complete different algebra problems and write their work down in a notebook, which they show their teacher. Then they...
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West Contra Costa Unified School District

What Is a Radian?

For Teachers 9th - 12th Standards
Here's an algebra II activity that strives to make the concept of a radian less abstract and more conceptual. It takes a hands-on approach to exploring the idea of a radian and allows individuals to develop a definition of a radian...
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Lesson Plan
1
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West Contra Costa Unified School District

Standard Form of Conics

For Students 9th - 12th Standards
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan notes, or...
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Lesson Plan
West Contra Costa Unified School District

Simplify Expressions and Solve Equations Using Two-Column Proofs

For Students 8th - 10th Standards
Increase understanding of the algebraic properties and their importance. Scholars justify their steps as they simplify expressions and solve equations. They formalize their work as two-column proof.
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Lesson Plan
West Contra Costa Unified School District

Solving Equations with Variables on Both Sides

For Teachers 8th - 10th
So many different ways to solve equations, so little time! Scholars learn how to solve equations with variables on both sides by using several different methods. They apply bar models, decomposition, and traditional algebraic methods to...
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Lesson Plan
Curated OER

Algebra: Coordinates and Straight Line Graphs

For Teachers 4th - 5th
Young mathematicians review what they have previously learned about coordinates and straight line graphs. Then, they access an interactive component within the instructional activity to gain more practice with this skill. Additionally,...
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Lesson Plan
West Contra Costa Unified School District

Simplifying Radicals – Day 1

For Teachers 8th - 10th
It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The activity progresses to simplifying radicals involving algebraic expressions in the radicand.
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Lesson Plan
Curated OER

Beginning Algebra

For Teachers 6th
Sixth graders add algebraic expressions in this beginning lesson. They will solve problems with one common unknown. Then add and multiply as necessary to complete the problems. Basic problems are provided.
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Lesson Plan
Curated OER

Algebra 1: Simplifying Radicals

For Teachers 8th - 9th Standards
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
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Lesson Plan
Curated OER

Math Mediator Lesson 10: Slope

For Teachers 8th - 9th
Students explore the concept of slope.  In this Algebra I instructional activity, students investigate the definition of slope as rise over run or change in y compared to change in x.  The instructional activity includes a real-world...
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Lesson Plan
West Contra Costa Unified School District

Multiplying Binomials and Factoring Trinomials

For Teachers 8th - 10th
Two lessons for the price of one! Learners use algebra tiles to multiply binomials in the first lesson, Next, they use their knowledge from the first lesson to factor trinomials into two binomials.
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Lesson Plan
Virginia Department of Education

Adding and Subtracting Polynomials Using Algebra Tiles

For Teachers 8th - 10th Standards
Scholars learn how using algebra tiles to add and subtract polynomials can model how to combine polynomials. They use their newfound knowledge to complete a worksheet of problems.
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Lesson Plan
Howard County Schools

Drawing Inverses

For Teachers 9th - 12th Standards
An Algebra II instructional activity draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, high schoolers graph the logarithmic function. The plan...
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Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers

For Teachers 6th Standards
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.
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Lesson Plan
EngageNY

Getting a Handle on New Transformations 2

For Teachers 11th - 12th Standards
Use 2x2 matrices to move along a line. The second day of a two-day lesson plan is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
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Lesson Plan
EngageNY

Classification of Solutions

For Teachers 8th Standards
Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions for a...
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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
EngageNY

Modeling Video Game Motion with Matrices 2

For Teachers 11th - 12th Standards
The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...
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Lesson Plan
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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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Lesson Plan
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EngageNY

The Power of Algebra—Finding Primes

For Students 10th - 12th Standards
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
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Lesson Plan
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West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II instructional activity guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made...
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Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 1)

For Students 10th - 12th Standards
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.

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