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Algebraic Concepts

  • Properties and Identities
    • Addition Property of Equality
    • Additive Identity
    • Additive Inverse
    • Associative Property
    • Commutative Property
    • Distributive Property
    • Multiplicative Inverse Property
    • Multiplication Property of Equality
    • Multiplicative Property of Zero
    • Zero Product Property
  • Algebraic Expression
  • Algebraic Geometry

Show Related topics


  • Algebraic Concepts Lesson Plans
  • Isolate the Variable
  • Shmoop: Basic Algebra: Solving One Step Equations
  • Math Concept Dividing Polynomials
  • Math Concept Solving Equations

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Algebraic Concepts Teacher Resources

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Find Algebraic Concepts lesson plans and worksheets
Showing 382 resources
Unit Plan
1
1 In 1 Collection
Module 7: Connecting Algebra and Geometry Unit Plan
Mathematics Vision Project

Module 7: Connecting Algebra and Geometry

For Teachers 8th - 10th Standards
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
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Instructional Video9:52
1
1 In 1 Collection
Vectors, What Even Are They? | Essence of Linear Algebra, Chapter 1 Instructional Video
3Blue1Brown

Vectors, What Even Are They? | Essence of Linear Algebra, Chapter 1

For Students 11th - Higher Ed Standards
Take a look at vectors as geometric objects and then as an algebraic concept. The second video in a series of 15 introduces the vector using three perspectives: the physics, computer science, and mathematical. The resource shows the...
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Instructional Video4:42
Substitution to Solve a System of Two Equations Instructional Video
Krista King Math

Substitution to Solve a System of Two Equations

For Students 9th - 12th Standards
Apply different algebraic concepts to solve a system of equations using substitution. The video tutorial explains each step of the process. The instructor then shows how to check the solution to ensure it is the proper answer.
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Lesson Plan
Regular Tessellations of the Plane Lesson Plan
Illustrative Mathematics

Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
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Instructional Video4:40
The Difference Quotient (Quadratic Function) Example 3 Instructional Video
Mathispower4u

The Difference Quotient (Quadratic Function) Example 3

For Students 8th - 11th Standards
Take an example out of more advanced math. Pupils observe how basic algebraic concepts help solve expressions from higher level math courses. The video from a Mathispower4u Algebra 1 series shows the evaluation and simplification of the...
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Worksheet
Polynomials Worksheet
Curated OER

Polynomials

For Students 8th - 9th
In this instructional activity, learners solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...
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Unit Plan
Quadratic Functions Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
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Lesson Plan
Solving for Unknown Angles Using Equations III Lesson Plan
EngageNY

Solving for Unknown Angles Using Equations III

For Teachers 7th Standards
Challenge your classes to combine geometric and algebraic concepts with an activity that builds on concepts learned in the first three lessons of the series. The fourth part asks scholars to identify geometric angle relationships and use...
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PPT
Who Wants to Win Millions: Variables PPT
Curated OER

Who Wants to Win Millions: Variables

For Teachers 4th - 5th
Lead your class on an exploration of basic algebra using this resource. As part of a game, learners answer algebra questions involving addition, subtraction, multiplication, and division. 
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Instructional Video2:42
Area of a Parallelogram - Geometry Help Instructional Video
Curated OER

Area of a Parallelogram - Geometry Help

For Teachers 7th - 12th
Work the problem shown in this video to learn how to determine the area of a parallelogram. Basic algebra, area, and the Pythagorean Theorem are used to find the missing value and solve the problem of area.
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Assessment
Pre-Test Unit 4: Linear Funcitons Assessment
Charleston School District

Pre-Test Unit 4: Linear Funcitons

For Students 8th Standards
Let your classes show you what they know! Use this pre-test to assess the current knowledge of your learners. The assessment includes all pre-algebra concepts related to functions: writing and graphing linear relationships, comparing...
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Assessment
Swimming Pool II Assessment
Concord Consortium

Swimming Pool II

For Students 10th - 12th Standards
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...
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Instructional Video1:05
Example 1: Multiplying Two Monomials with a Single Variable, Algebra I Instructional Video
Khan Academy

Example 1: Multiplying Two Monomials with a Single Variable, Algebra I

For Students 7th - 9th
Multiply polynomials with Sal Khan! In this one-minute video, Sal describes what a monomial is, and how it can be used to express the area of a rectangle.
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Lesson Plan
Awareness of Pre-Algebra Concepts Lesson Plan
Curated OER

Awareness of Pre-Algebra Concepts

For Teachers 3rd - 7th
Students demonstrate how to solve various algebraic equations. In this pre-algebra lesson, students work in teams and use Borenson's Hands-On Equations materials to solve algebraic equations.
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Worksheet
Year 6 Booster Worksheet
Curated OER

Year 6 Booster

For Students 3rd - 5th
In this beginning algebra activity, students are provided with a math problem and solution, but one number in the problem or answer is missing. Students fill in the missing number. Some of the problems could have multiple answers. There...
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Handout
Math Review: Algebraic Operations Handout
Curated OER

Math Review: Algebraic Operations

For Students 9th - 12th Standards
Need to prep your science learners in math? Here is a resource that serves as a review guide to support your scientists with the math they need to be successful in chemistry. Comes with basic algebraic problems and a review of...
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Instructional Video2:02
Complex Numbers - Algebra Help Instructional Video
Curated OER

Complex Numbers - Algebra Help

For Teachers 7th - 10th
The foil method had been used for years as a way to remember how to simplify complex numbers. This process is demonstrated step-by-step, slowly so the learner will be able to follow along as the instructor solves the problem. Intended...
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Lesson Plan
How Does Your Population Grown? Lesson Plan
Curated OER

How Does Your Population Grown?

For Teachers 8th - 11th
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
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Lesson Plan
Working With Equations Lesson Plan
Curated OER

Working With Equations

For Teachers 9th - 12th
Students create a mathematical formula to help plan ration supplies for a polar expedition. Using basic algebra skills, students identify the variables in planning for rations. They create an equation to help plan the expedition....
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Worksheet
Mr. P's Life Worksheet
Curated OER

Mr. P's Life

For Students 7th - 10th
With only indirect information, can your mathematicians figure out how old Mr. P is? This secondary mathematics worksheet has algebra students examining 9 pieces of information about Mr. P's life, each of which is integral to answering...
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Assessment
California State Standards: Algebra I 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...
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Lesson Plan
Celebrating the Fourth of July! Lesson Plan
Curated OER

Celebrating the Fourth of July!

For Teachers 9th - 10th
Students model projectile motion algebraically and graphically; and make predictions based on the quadratic algebraic model.
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Lesson Plan
Equations in the Park Lesson Plan
Curated OER

Equations in the Park

For Teachers 3rd - 4th
Students explore algebraic concepts using real life situations.  In this equations lesson, students develop strategies to solve missing number problems. Students participate in a board game based on algebraic equations.
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Lesson Plan
Basic Algebra - Lesson 4  Order of Operations Lesson Plan
Curated OER

Basic Algebra - Lesson 4 Order of Operations

For Teachers 9th
Ninth graders study the correct way to solve equations using the order of operations. They apply a mnemonic device to remember the proper order.
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