Algebraic Concepts Teacher Resources

Find Algebraic Concepts lesson plans and worksheets
Showing 1 - 200 of 298 resources
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6th Grade Transition Math

For Teachers 5th - 6th Standards
Here is a collection packed with 10 lessons from the TransMath® text series. Use it with fifth or sixth graders to help them master algebraic concepts. Worksheets and guided practice are included in each lesson.
22 Items in Collection
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Common Core Math: 3rd Grade

For Teachers 3rd Standards
Looking for all things third grade Common Core math? Here is the collection you've been waiting for! Third grade math curriculum is rigorous and opens up the doors to bigger algebra concepts that learners will use their entire lives....
EngageNY

EngageNY Grade 7 Math Module 3: Expressions and Equations

For Teachers 7th Standards
A math module challenges young mathematicians to generate equivalent expressions.  Scholars demonstrate how order or grouping does not affect the practice of addition and multiplication. By the end of the module, learners recognize and...
12 Items in Collection
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Polynomial Expressions

For Teachers 8th - 11th Standards
Algebra 1 is the first exposure to polynomial operations so let's get it right! Here are some resources that cover the operations such as factoring out a monomial, combining like terms, and FOILing. This collection can also be used as a...
35 Items in Collection
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Common Core Math: 8th Grade

For Teachers 8th Standards
Check out the Common Core with a collection that represents all the 8th grade math standards. Most resources engage multiple standards but the main one is listed on the notes section of each tab. 
34 Items in Collection
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Common Core Math: 7th Grade

For Teachers 7th Standards
No worries about Common Core here, all the standards are taken care of and presented with a variety of high-rated resources. Many of the resources address multiple standards but the main one is listed on the notes of each tab. 
31 Items in Collection
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Number and Quantity: High School Common Core Math

For Teachers 9th - 12th Standards
This collection has a resource for each standard in the Number and Quantity selection of the CCSS. While several of the resources cover multiple standards, the focus standard is listed in the notes section of each resource for easy viewing.
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Basic Algebra Word Problems

For Students 8th - 9th
In this basic algebra worksheet, students solve and complete 8 different types of word problems. First, they develop a formula to solve each problem. Then, students solve for the variable to complete the problems.
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Basic Algebra: Evaluate Expressions

For Students 9th - 11th
In this expressions worksheet, students explore basic algebra vocabulary and observe examples of solving basic algebraic equations. Afterward, students solve or simplify given algebraic equations. This four-page worksheet contains 12...
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Abstract Rate Problem

For Teachers 10th - 12th
Using knowledge of the relationship between distance, rate and time, learners solve word problems. Here the use of tables helps one organize ideas in order to build an algebraic model.  
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Rewriting Numerical Expressions

For Students 9th - 12th Standards
Use algebraic concepts to simplify computation. Provided with three computation problems, pupils use algebraic techniques to find more efficient methods to perform the calculations. They apply what they know about the difference of...
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Basic Algebra and Graphing for Electric Circuits

For Students 12th - Higher Ed
In this electronics worksheet, students evaluate mathematical expressions to complete 16 short answer and problem solving questions.
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Basic Algebra

For Students 8th - 9th
In this basic algebra worksheet, students solve each of 20 equations by following the rules for basic algebra. They identify the variable in each equation. Then, students add or subtract like terms to get them on one side and the...
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Residential Power System

For Teachers 7th - 11th
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
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Basic Algebra - Expressions, Input, Output

For Students 8th - 9th
In this value of expressions activity, learners solve and complete 43 various types of problems. First, they complete the tables according to the given rule. Then, students find the value of each expression. Finally, they use the order...
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Basic Algebra and Computers: Spreadsheets, Charts, and Simple Line Graphs

For Teachers 5th - 12th
Students, while in the computer lab, assess how to use Microsoft Excel as a "graphing calculator." They view visual representations of line graphs in a Cartesian plane while incorporating basic skills for using Excel productively.
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Basic Algebra Practice Problems Part 1

For Students 6th - 8th
In this algebra word problems worksheet, students use their problem solving skills to solve 31 basic algebra problems and word problems.
11:06
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Simple Equations

For Students 6th - 9th
Basic algebraic equations of the form Ax=B are dissected. Sal encourages viewers to fully understand what the equations represent prior to learning how to manipulate them. Furthermore, he teaches students how to solve the equations...
7:38
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Algebra: Linear Equations 4

For Students 7th - 11th
This is a lesson in solving linear equations. More specifically, students will see how to solve an equation with a variable expression in the denominator of a fraction.
7:39
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Algebra: Linear Equations 4

For Students 7th - 11th
This is a lesson in solving linear equations. More specifically, students will see how to solve an equation with a variable expression in the denominator of a fraction.
8:41
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Equations 2

For Students 6th - 9th
"Equations 2" is the second video in this series. It follows the presentation titled "Simple Equations." This presentation shows how to solve slightly more complicated algebraic equations, like Ax+B=C. Sal uses visuals (like a number...
8:41
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Equations 2

For Students 6th - 9th
"Equations 2" is the second video in this series. It follows the presentation titled "Simple Equations." This presentation shows how to solve slightly more complicated algebraic equations, like Ax+B=C. Sal uses visuals (like a number...
8:53
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Equations 3

For Students 6th - 9th
Sal illustrates more involved equations in this last video in a series. It follows "Simple Equations" and "Equations 2". He continues to use color-coded markings to help increase student understanding of a more complicated equation:...
8:53
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Equations 3

For Students 6th - 9th
Sal illustrates more involved equations in this last video in a series. It follows "Simple Equations" and "Equations 2". He continues to use color-coded markings to help increase student understanding of a more complicated equation:...
3:38
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Square a Binomial

For Students 8th - 10th
Sal clearly demonstrates what not do when simplifying a squared binomial. Next, he clarifies why they can't square each term individually and then add them. He uses his incorrect example as a starting point to correctly demonstrate how...
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Basic Algebra Practice Problems Part 2

For Students 8th - 10th
In this solving basic algebra problems, students solve various types of problems such as missing part of area, absolute value inequality, factors, reducing to lowest terms, performing indicated operations, and word problems. Students...
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Basic Algebra: Formulas

For Students 9th - 11th
In this algebra activity, students read story problems, write equations from given information, and solve for the unknown. Two examples, with basic steps are provided. This four-page activity contains six multi-step problems.
8:47
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SAT Prep: Test 3 Section 2 Part 1

For Students 9th - 12th
Starting a new set of SAT practice problems from The Official SAT Study Guide (page 518), Sal takes students through some straightforward questions involving basic algebra and functions. However, as every math teacher and student knows,...
9:01
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SAT Prep: Test 1 Section 6 Part 3

For Students 9th - 12th
Sal is having a blast in this video, and his fun-loving attitude will rub off on even your most stressed-out test-takers. Problems 7-10 in the practice SAT require skills in linear equations, as well as approximation and basic algebra.
3:56
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SAT Prep: Test 8 Section 5 Part 1

For Students 9th - 12th
Launching into another practice session from The Official SAT Study Guide (page 855) Sal wastes no time in solving problems 1-6, which involve basic algebra and geometry. He encourages efficient problem solving, noting that on the first...
3:56
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SAT Prep: Test 8 Section 5 Part 2

For Students 9th - 12th
Sal again makes the SAT look effortless, and yet students will follow his mathematical processes with ease. Problems range in difficulty, from basic algebra equations to more complicated geometric figures.
3:56
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SAT Prep: Test 1 Section 9 Part 2

For Students 9th - 12th
On problems 5-8 of the practice SAT video series (page 424 of The Official SAT Study Guide), Sal demonstrates several different ways to solve each problem in an efficient and timely manner. Students will appreciate the ways he details...
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The Da Vinci Code: Math Fun

For Teachers 5th - 6th
A wonderful way to introduce or practice simple algebraic equations, where a variable is used in place of a number. Learners will work to crack the Da Vinci Code (as it is called) and replace letter variables with the "code" numbers to...
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Abstract Rate Problems

For Teachers 10th - 11th
Young scholars solve abstract rate problem. In this algebra lesson, students solve problems with distance and rate. They create a table, solve for the missing part using an equations and analyze their results.
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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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Basic Algebra

For Teachers 8th - 10th
Students solve linear equations algebraically and through graphing. In this algebra activity, students identify the domain and range of each function. They create formulas to solve word problems.
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PD Learning Network

Algebra Touch

For Students 7th - 10th Standards
Looking for an app that will motivate and engage young algebra learners? This basic algebra app provides practice of single variable algebraic manipulations by allowing users to touch, move, and combine parts of the expression through...
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Language of Algebra

For Teachers 5th - 8th Standards
Don't rush into algebra, let learners visualize, guess, and predict their way to a successful math career. The introductory unit incorporates beginner algebraic concepts with shapes instead of variables. Young mathematicians use a...
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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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Derivative – Standard Definition

For Teachers 11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
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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...
9:51
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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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Solving for an Unknown Variable

For Teachers 9th - 12th Standards
Review the algebra concept of solving an equation for a specific variable using equations from chemistry. The skills are applicable in future lessons in the series.
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Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson plan takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack...
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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, then apply these...
4:42
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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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EngageNY

Solving for Unknown Angles Using Equations III

For Students 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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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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Writing Equations for Parallel Lines

For Students 9th - 12th Standards
Make connections between geometry and algebra concepts. Using a point on a side of a geometric figure and the equation of the line that contains the parallel opposite side, learners find the unknown equation of the line. They write the...
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Everything Balances Out in the End

For Teachers 7th - 8th
Students examine key algebraic concepts in a three instructional activity unit. They participate in activities in which they use a pan balance to study equality, order of operations, as well as numerical and variable expressions. Unit...
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A Beginning Look at Basic Algebra-Lesson 1-12

For Students 9th
In this Algebra I worksheet, 9th graders explore the basic of beginning algebra:  the order of operations, integer operations, translating phrases and sentences, and solving basic one-step equations.  The six page worksheet contains...
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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 determine...
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Algebra 1 Chapter 1 Test: Algebraic Expression

For Students 8th - 11th
In this worksheet, young mathematicians translate words into algebraic expressions. They define variables and write expressions for a given phrase. They identify numbers as rational or irrational, simplify expressions, solve basic matrix...
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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 young...
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Add a Little Art to Your Math

For Teachers 3rd - 6th
Origami presents a beautiful way to express and test geometric and algebraic concepts.
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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 some...
4:32
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Compound Inequalities

For Students 7th - 9th
Investigate the process for solving compound inequalities. Observe and analyze Sal as he solves for z. This video would be great for middle school students who have already engaged in basic algebra. This is the first video in a series of...
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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 learning exercise has algebra students examining 9 pieces of information about Mr. P's life, each of which is integral to...
3:56
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SAT Prep: Test 7 Section 2 Part 1

For Students 9th - 12th
Sal picks up the pace in this video, going through problems 1-7 on page 774 of The Official SAT Study Guide. Basic algebra, arithmetic, and geometry problems start out this section, allowing students to build up some steam before hitting...
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Mat 044 Review Sheet 2

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students solve problems based on a variety of basic algebra skills, including solving basic equations and inequalities, operations with fractions and signed numbers, and the order of operations. ...
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Multiple Representations

For Teachers 9th - 12th Standards
Every topic or subject has its own special jargon. Learners work on their math vocabulary as it relates to basic algebra terms. They define and identify function, functional notation, ordered pairs, rate of change, slope,...
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Factoring Trinomials

For Teachers 9th - 12th Standards
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them relate...
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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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Can We Handle the Truth? How are a Truth Table, a Logic Circuit and Boolean Algebra Related?

For Teachers 10th - 12th
How does algebra relate to real life? High schoolers will construct and test computer chips to determine the function of each, and discuss real life applications of the Boolean Algebraic concept. Included are discussion questions, gender...
1:49
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CAHSEE Practice: Problems 52-53

For Students 8th - 10th
In the final two problems of the CAHSEE practice test, students are guided through algebraic equations involving factoring and reciprocals. This is a great resource for students who become confused by multiple choice questions, or who...
3:44
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CAHSEE Practice: Problems 20-22

For Students 8th - 10th
Reviewing basic algebra and graphing skills, this video guides students through three practice math problems on the CAHSEE. Seeing the work and thought process behind choosing the correct answer in a multiple choice question format.
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Basic Algebra Word Problem

For Students 10th - 11th
In this algebra worksheet, there are 18 word problems and dealing with different real world scenarios. There is also an answer key provided.
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Basic Algebra Word Problem

For Students 9th - 10th
In this algebra worksheet, students rewrite the problem using symbols and solve for the unknown. There are 18 questions with an answer key.
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Awareness of Pre-algebra Concepts

For Teachers 3rd - 8th
Students demonstrate different algebraic equations using Borenson's Hands-On Equation materials. They work in a cooperative group to solve algebraic equations.
2:42
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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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Prealgebra

For Students 5th - 9th Standards
Pre-algebra—all wrapped up in one place. The eBook contains everything needed to teach a typical Pre-Algebra course. Concepts in the course build upon previously learned concepts, allowing mathematicians to see the connections between...
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Talk and Text Plans

For Teachers 8th Standards
The interests of today's mobile-savvy teen and the goals of the algebra class intersect in this topical lesson concerned with graphing equations and finding solutions with algebraic and graphic methods. The formative tasks and final...
2:29
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Write and Evaluate a Variable Expression for Total Cost (ax+b)

For Students 8th - 11th Standards
It's just the cost of the game. Using a two-part example, the presenter writes an expression to determine the amount friends spend to attend a game. The video shows the total amount they spend when given the cost of each ticket.
2:49
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Write and Simplify a Variable Expression for Age (ax+b)

For Students 8th - 11th Standards
Age is just a number. The resource develops a multi-step expression to represent a person's age. Using the video, the presenter creates expressions for the age of four different people that build upon each other. The final age requires...
9:11
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Algebraic Proof

For Students 8th - 12th Standards
Proofs do not exist only in geometry. The video shows the class different ways that proofs appear in algebra. Pupils work through a variety of algebraic proofs involving the divisibility of an algebraic expression or whether it is even...
12:07
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What Is Algebra?

For Students 6th - 9th Standards
Simply defined, algebra is arithmetic involving an unknown. The video introduces algebra by making the connection to arithmetic. Using examples, the presentation explains the use of variables and notation. The resource previews graphing...
2:34
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Writing Basic Algebraic Expressions (Example 2)

For Students 8th - 11th Standards
Just how much farther? A helpful video provides an example in determining an algebraic expression involving distance traveled. Graphics provide an illustration to demonstrate how to find the remaining distance to travel given a known...
14:02
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Chemistry: Balancing Chemical Equations—Algebraic Method

For Students 9th - 12th Standards
If you love algebra, then you're gonna love this balancing method! Introduce young chemists to the algebraic method of balancing chemical equations using a video from an informative chemistry  playlist. The narrator works five sample...
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Representing and Interpreting Proportional Relationships

For Teachers 7th - 8th Standards
The class gets valuable practice evaluating and analyzing linear relationship in this group of activities. Interpreting rate of change in algebraic and graphical ways is presented in a non-intimidating and natural way, using realistic...
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Centerpiece

For Teachers 9th - 10th Standards
Learners hear wedding bells in this problem set, as they help a fictional bride plan the centerpieces for her wedding reception. Algebra is married to geometry as volume, aesthetics, and budgeting all come into play. Learners are asked...
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End-of-Year Practice Test (Algebra II)

For Students 9th - 12th Standards
This complete multiple choice and grid-in practice end-of-year test for algebra II is a phenomenal resource to use as a whole or sprinkled throughout the curriculum. Useful for tracking progress or preparing the class for the format of...
5:48
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Complex Fractions

For Students 9th - 12th Standards
Complex fractions are fractions divided by fractions—complicated, right? The video introduces the class to algebraic complex fractions. With the introduction to variables in the denominator, it is important make sure the denominator is...
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Twelve a Dozen

For Students 2nd - 7th Standards
Take your students on a mathematical adventure with this entertaining yet educational video game. Perfect for developing children's fluency with the four basic operations, this is a must-have resource for upper-elementary teachers.
4:20
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Like Terms, Addition and Subtraction

For Students 9th - 12th Standards
It is not good enough to have the same variable, they must have the same exponents too. The video introduces the class to like terms, while giving the definition of like terms and providing examples of combining like terms through addition.
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The Picture Frame Problem

For Teachers 7th - 8th Standards
Learners develop methods to attack the challenges of writing and interpreting linear equations in context. Simple problem statements lead to deeper understanding of characteristics like slope and intercept, and patterns develop naturally...
1:05
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Multiplying Monomials

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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Solving Systems of Equations

For Students 11th
For this solving systems of equations worksheet, 11th graders solve and complete 7 various sets of problems. First, they solve each set of equations both algebraically and graphically. Then, students graph each solution on graph paper.
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M&M Exponential Activity

For Teachers 10th - 12th
Students create a scatter plot of their experimental data. In this algebra lesson, students use M&M's to determine an algebraic model. They discuss results in class.
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Polynomials

For Students 8th - 9th
In this worksheet, students 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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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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Understanding the y-Intercept Student Activity Sheet 4

For Students 8th - 10th
Put it all together by exploring the y-interecept. Your algebra class solves six different problems related to defining the y-intercept on a graph. First, they identify which graph illustrate best represents the data in the table and...
3:04
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Algebraic Notation—Introduction to Algebra

For Students 6th - 9th
Letters can be numbers, but numbers can't be letters. Viewers learn how to use variables in algebraic expressions. It shows the use of variables in conjunction with different operations.
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Solving Fractions with Manipulatives

For Teachers 3rd - 5th
Young scholars use candy bars, beef jerky, and brownies to represent different fractions. Students also use colored multi-link cubes or blocks to illustrate the same representations of fractions. Young scholars work with a partner to...
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Worksheet Chapter 1, 1.2-1.8 College Prep Algebra

For Teachers 8th - 12th
In this algebra worksheet, learners complete a variety of basic algebra problems. They compare integers, identify sets of numbers, simplify equations, translate words into numerical expressions, and identify properties. This worksheet...
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Math Leagues Contest 1

For Students 8th
In this basic algebra instructional activity, 8th graders solve and complete 6 different types of algebra problems as described in each box. First, they determine the value of a set of numbers with one pair of positive integers. Then,...
2:02
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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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Shop Smart

For Teachers 6th - 8th Standards
What is a better deal? Buy one, get one half off Buy three for the cost of two Buy one at 40% off the original price Mathematicians use algebraic expressions to sort through the scenarios and figure out who benefits most: business...
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Awareness of Pre-Algebra Concepts

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

For Students 3rd - 5th
In this beginning algebra worksheet, learners 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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Navajo Codes In World War II

For Teachers 7th - 12th
Students investigate how the Navajo Indians used codes to communicate in using algebraic concepts like matrices, inverse matrices, and matrix multiplication. They also research how the US used the coded language of the Navajo to fool the...
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Module 6: Connecting Algebra and Geometry

For Teachers 9th - 12th Standards
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
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EngageNY

Algebraic Expressions—The Distributive Property

For Students 9th - 10th Standards
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive property, and...
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Opening a Business

For Teachers 5th - 7th Standards
A resource-rich lesson plan helps you teach how to use variables for solving problems. Collaborative groups sort mathematics phrases into categories, pretend to open a business, and answer questions to find out how useful variables are...
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Trashketball: Part 1

For Students 8th - 10th Standards
It's the one day your classes get to 'shoot' their trash into the can! Scholars collect data related to shooting percentages to analyze. As they move farther from the basket, their percentages change, and a linear model emerges.
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Step by Step

For Teachers 9th - 12th Standards
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
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Quadratic Inequalities

For Students 9th
In this quadratic inequalities worksheet, 9th graders solve and graph 10 different problems that include various forms of inequalities. First, they solve each equation shown algebraically. Then, students state the solution set of the...
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Algebraic Word Problems

For Students 9th
In this algebraic word problems worksheet, 9th graders solve and complete 8 different word problems. First, they determine the size of a colony of bugs as described. Then, students use the formula provided to calculate the wind speed at...
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Solving Linear Systems

For Students 9th
In this linear systems worksheet, 9th graders solve and complete 24 different problems that include solving various linear systems. First, they read through each example and define the two methods described for solving linear systems of...
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Exponential Decay: Cool Sunglasses

For Students 10th - 12th Standards
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They then explore...
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Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
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Scientific Notation: Light Years to Centaurus Constellation

For Students 8th - 12th Standards
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
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Functions

For Students 11th - 12th
In this functions instructional activity, students solve and complete 22 different problems that include various functions. First, they find the inverse of each function by solving for x then reverse x and y (the dependent and...
4:25
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Imaginary Numbers Are Real (Part 7: Complex Multiplication)

For Students 9th - 12th Standards
Multiplying complex numbers geometrically is complicated. Find an easier way with a short video that explains the process of multiplying complex numbers on the complex plane. The connection with the process and the angles and moduli sets...
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Gravity

For Students 9th - 11th Standards
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
3:34
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Application of a Linear Equation in One Variable - Salary Plus Commission (Example 2)

For Students 8th - 10th Standards
Linear equations are invaluable in problem-solving. A video presents an equation representing a weekly income based on a salary and commission. The instructor demonstrates how to substitute for both the dependent and independent...
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It's In the Mail

For Students 9th - 12th Standards
It's time to check the mail! The task is to determine the most cost-effective way to mail a packet of information. Young scholars write an equation that models the amount of postage as a function of the number of sheets mailed and...
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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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Times Two

For Teachers 4th - 5th
Introduce your youngsters to basic algebra with this lesson plan. Through a series of handouts and overhead copies, they explore times-two functions. They fill in a table using input and output notation together as a class. Then they...
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Celebrating the Fourth of July!

For Teachers 9th - 10th
Young scholars model projectile motion algebraically and graphically; and make predictions based on the quadratic algebraic model.
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Equations in the Park

For Teachers 3rd - 4th
Students explore algebraic concepts using real life situations.  For 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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Building A Garden Fence

For Teachers 9th - 12th
High schoolers engage in a study of area and finding the dimensions needed to construct a fence for a garden. They apply algebraic concepts and geometry to the problem while using the Texas Instruments graphing calculator. The...
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In a Triangle

For Students 9th - 12th Standards
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
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Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
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Addition of Integers: Adding Electrons

For Students 6th - 8th Standards
Young mathematical scientists interact with protons and electrons in an atom to create a neutrally charged atom. They answer questions based on their findings throughout the interactive resource.
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Consistent and Inconsistent Systems

For Students 8th - 9th
In this consistent and inconsistent systems instructional activity, students solve and complete 24 different problems. First, they solve each given system algebraically. Then, students determine whether each system is dependent,...
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PEMDAS, Order of Operations

For Students 9th - 12th
It really does not matter on the order, or does it? Here, a resource provides an explanation of the order of operations and the mnemonic used. The instructor goes through a couple of examples and works one without following the order of...
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Symbols of Inclusion

For Students 9th - 12th
Tip—start with the inner most nested grouping symbol. The resource provides an explanation of the conventional method in nesting grouping symbols and using parentheses, brackets, and braces. The video provides two examples, one involving...
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Repeating Decimals: Does 1 equal 0.999... ?

For Students 6th - 8th Standards
Six questions make up a challenging interactive that tests scholars' knowledge of repeating decimals. Mathematicians answer true or false and multiple-choice questions with help from a tool that highlights decimal movement in an...
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Setting Up Equations

For Students 12th - Higher Ed
In this setting up equations learning exercise, students solve 4 different problems that include setting up the equations in each problem. They write out an equation or set up an equations that describe each given situation. Then,...
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Trigonometry

For Students 11th - Higher Ed
In this trigonometry worksheet, students solve and complete 5 different sets of problems. First, they evaluate the given expression by substitution. Then, students graph the expression and determine whether it is a function and why. They...
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Sequence Notation

For Students 9th
In this sequence notation instructional activity, 9th graders solve and complete 16 different problems that include determining various types of sequences. First, they determine the equation for each arithmetic sequence. Then, students...
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State of NY Testing Program

For Students 10th - 12th
In this algebra instructional activity, students review geometric and algebraic concepts for the state exam at the end of the year. They discuss factoring and volumes, prisms and measuring. There are over 16 pages of questions on this...
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Sunshine Math-2

For Students 3rd - 5th
In this math skills worksheet, students use a variety of math skills to answer the 8 questions on this worksheet. The questions deal with weight, basic algebra, measurements, math puzzles, telling time, 3-D objects, charts and using a...
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NY State Testing Program

For Students 8th
In this math exam worksheet, 8th graders review geometric and algebraic concept including angles, polygons, equations, factoring and addition and subtraction, quadrilaterals, trig and circles. They take a comprehensive exam covering...
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Systems of Equations

For Students 9th
In this solving systems of equations worksheet, 9th graders solve and complete 12 different problems algebraically. First, they solve each system of equations using substitution. Then, students solve each system of equations using...
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Awareness of Pre-algebra Concepts

For Teachers 3rd - 8th
Students work in a cooperative group of three to solve algebraic equations with roles assigned for manipulator, recorder, and checker. They utilize hands-on learning materials imbedded in the lesson plan.
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The Box Problem

For Teachers 11th
Eleventh graders investigate maximizing the volume off an open topped box.  For this Algebra II lesson, 11th graders explore a geometric model, a numeric model and an algebraic model as they determine the maximum volume of a box. ...
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Negative Magic Squares

For Teachers 4th
Magic squares are interesting objects in both mathematics proper and in recreational mathematics. So they are objects that children should have heard about and experienced. The problems in this sequence give students the opportunity to...
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Algebraic Relationships

For Students 8th - 9th
Here are 17 various forms of problems that range from matching equivalent expressions to word problems. Included are problems for substutiing values into expressions and using the order of operations, simplifying algebraic expressions,...
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Multiple Representations in the Real World

For Students 7th - 8th
In this multiple representations worksheet, students solve 3 different problems suing multiple representations in real world situations. First, they solve a puzzle to identify the different representations of the relationship between the...
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Dinner Tables I

For Teachers 2nd - 4th
Students explore linear functions.  In this beginning algebra lesson, students determine the maximum number of ways a certain number of people can sit at a table for 4.  Students complete a data table and look for a pattern.  Students...
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Mystery Cards

For Students 4th - 6th
In this algebra worksheet, students evaluate a set of 9 cards, each of which has one letter on it. They then use the 9 clues to determine which number is on the back of each card. For example, B x B = 25 and B + B = 10. Students can...
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Code Cracking

For Teachers 5th - 8th
There is nothing more engaging than cracking a secret code! Middle schoolers will replace letters with numbers to solve problems. This game will help them to begin to understand algebra questions by finding the value of missing numbers....
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Algebra: Formulae

For Teachers 5th - 7th
Young scholars explore basic algebra formulas. In this introductory algebra lesson, student use basic algebra formulae to simplify expressions that include 1 or 2 operations.
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Mat 044 Test 1 Review

For Students 9th
In this Algebra I worksheet, 9th graders solve problems based on a variety of basic algebra concepts including order of operations, unit conversion, and linear functions.  The four page worksheet contains forty problems.  Answers are...
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Equations, Expressions, Factorization

For Teachers 7th - 10th
Learners graph and solve equations and expressions. In this algebra lesson plan, students use simple factorization to simplify expressions. They review for an exam by doing basic algebra.
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Algebra War

For Students 9th - 10th
For this algebra worksheet, students play a game of "Algebra War". They write linear equations and evaluate functions. They work in groups as they play the game to reinforce basic algebra skills.
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Math 044 Review Sheet 3

For Students 9th
In this Algebra I worksheet, 9th graders solve problems based on a variety of pre-algebra and algebra concepts including, percent problems, ratio and proportion, and working with algebraic fractions.  The four page worksheet contains...
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Math 044 Review Test 4

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students solve problems that cover a variety of basic algebra skills, including solving equations and inequalities, working with fractions, and unit conversion.  The four page worksheet contains...
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Addition and Algebraic Operations

For Students 6th - 9th
In this addition and algebra learning exercise, students solve 19 questions in which they use basic addition and algebraic concepts. They can click on the Check box to find out if their answers are correct.
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Solving Multiplication and Division Equations

For Students 5th
In this algebra worksheet, 5th graders solve multiplication and division problems that have equal sides. Students solve eight problems in this good, basic algebra skills worksheet.
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Go Negative

For Teachers 4th
Fourth graders advance to new levels in the lesson we're dealing with here. It is the fourth of a sequence of six dealing with the same theme. These develop from Level 2 to Level 5. In the process they involve number concepts at the...
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Practice Exit Exam - Mat 0024

For Teachers 9th - 12th
In this practice exit exam, students complete a variety of basic algebra problems on an Algebra I skill level. They simplify expressions containing variables, factor quadratic equations, find the slope of a line, identify the...
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Sunshine Math-3: Mars, XIX

For Students 6th - 8th
In this math skills instructional activity, learners solve the 8 problems on the page using various math skills. The problems involve math puzzles, story problems, logic games and basic algebra.
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Algebraic Equations

For Students 8th - 9th
In this algebraic equations worksheet, students solve and complete 4 different sets of problems that include solving for variables and using ratios. First, they solve for a variable and write out all of the steps in the process. Then,...
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Solving Quadratic Systems

For Students 11th
In this solving quadratic systems worksheet, 11th graders solve 8 different problems. First, they solve each system of equations algebraically. Then, students solve each system of inequalities by graphing on the grids provided for each...
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Parent Functions

For Students 9th - 11th
In this parent functions worksheet, students sketch the 12 parent functions. They sketch functions such as greatest integer, exponential, square root, and quadratic.
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Multiple Intelligences Holistic Plan

For Teachers 9th
Ninth graders apply basic algebra concepts to equations using cognitive, affective, and kinesthetic components. They create their own word problem, perform the story problem using a dramatic presentation, and present the problem to the...
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The Box with the Greatest Volume

For Teachers 5th - 8th
Students use measurement tools to measure the nearest 16th of an inch. They connect fractions and their decimal equivalents and compare this with other decimals. Finally, the class uses algebraic concepts and formulas to solve problems.
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Solving Linear Inequalities

For Students 8th - 9th
In this solving linear inequalities worksheet, students solve 5 different problems that are inequalities. First, they multiply both sides of the true inequality by a positive number and then, by a negative number, explaining if the...
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Pre-Algebra Vocabulary Crossword

For Students 8th - 9th
In this pre-algebra activity, students answer questions on basic algebra vocabulary to complete a crossword puzzle.  The one page interactive activity contains eight clues and is self checking.
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Math 15 Week Review Part 1

For Students 9th
In this Algebra I worksheet, 9th graders solve problems based on a variety of basic algebra topics including the laws of exponents, prime factorization of a number, the subsets of the Real number system, and the use of formulas.  The...
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Math: Methods of Measurement

For Teachers 4th
Fourth graders practice linear measurement skills by applying various measuring instruments to determine the heights of classmates. By measuring the heights of second graders and fourth graders, they construct tables of height and age...
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TAAS Attack Daily Upkeep #7

For Teachers 5th
In this word problem worksheet, 5th graders review various mathematical terms by selecting the correct letter that answers each question completely. There are a total of 13 math problems to solve which vary between word problems,...
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Problem Solving Patterns

For Students 6th
In this problem solving patterns worksheet, 6th graders solve and complete 2 various types of problems. First, they identify what the 4n represents in each block pattern illustrated. Then, students determine the number of arrows added to...
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Multiple Representations in the Real World 1

For Students 8th - 9th
In this multiple representations in the real world learning exercise, students solve 3 different problems applying multiple representations to real world situations. First, they determine how many tiles would be needed to create a border...
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Solving Algebraic Equations

For Students 6th
For this algebraic equations worksheet, 6th graders solve and complete 9 different word problems that include various types of equations. First, they find consecutive even numbers and write an equation to solve. Then, students write a...
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Solving Systems of Equations

For Students 9th
In this solving systems of equations worksheet, 9th graders solve and complete 7 different types of problems. First, they solve each question both algebraically and graphically. Then, students list their answers as ordered pairs.
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Algebra Vocabulary

For Students 9th
In this Algebra I worksheet, 9th graders match vocabulary words to their definition in the Concentration game format.  The one page interactive worksheet contains 20 matching questions and is self checking. 
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Three Squirrels and a Pile of Nuts

For Teachers 6th - 8th
Students solve word problems using a spreadsheet, strategies, and algebraic variables. They disuss the given problem, which can be printed, write the unknowns, and employ the strategies into a spreadsheet. Students then use Microsoft...
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Going Fishing

For Students 7th - 11th Standards
Using real-world problems helps learners gain insight into the importance of different types of equations. Here, they create a system of inequalities both graphically and algebraically to gain that insight. 
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Modeling Riverbeds with Polynomials (part 2)

For Students 10th - 12th Standards
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
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Multi-Step Ratio Problems

For Teachers 7th Standards
Use ratios to solve problems that are not proportions. The lesson has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems are of the form of mark-ups, discounts, commissions, and fees. The...
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Comparing Quantities with Percent

For Teachers 7th Standards
Be 100 percent confident who has the most and by how much. Pupils use percentages to help make the comparisons by finding what percent one quantity is of the other. They also determine the percent differences between the two quantities. 
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Codebreakers!

For Teachers 9th
Solve linear equations to encode and decode messages using a variation of the cipher used by Julius Caesar. The class completes the function table for the cipher to decode longer messages. There are several activities, each one a little...
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Connecting Algebra and Geometry Through Coordinates

For Teachers 9th - 10th Standards
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
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Graphing on the Coordinate Plane

For Students 6th - 9th Standards
Graphing points is like painting a picture in algebra. Starting with a number line, the video constructs the coordinate plane. The presentation introduces the concept of a coordinate pair as an intersection of the two lines containing...
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Modeling an Invasive Species Population

For Students 9th - 10th Standards
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 
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Fractions

For Students 7th - 10th Standards
There’s a fine line between a numerator and a denominator. Learners review operations with fractions and ensure they have the skills needed to progress in the course. Taking the time now to review these concepts allows individuals to...
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Sunken Treasure

For Teachers 8th - 10th Standards
You've located buried treasure, now what? Explore how to use algebraic and geometric methods to determine where to place a recovery ship based on the location of the treasure.
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Stars and Slopes

For Teachers 10th - 12th
More of a math instructional activity than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex...
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Seeds, Plants, and Us

For Teachers 1st - 3rd
Learners observe plant growth and the parts of a plant. In this plants biology lesson plan, students identify and describe the job of plant parts after listening to the story The Carrot Seed by Ruth Kraus. Learners  plant seeds and...
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Modeling Sizes of Planets

For Students 6th - 8th Standards
The density of the huge planet of Saturn is 0.7 g/cm3, which means it could float in water! In the second part of 22, science pupils explore the size and order of the planets. They then calculate weight and/or gravity and density of...
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Graphing and the Coordinate Plane

For Teachers 5th - 8th Standards
Ready to introduce your class to the coordinate plane? This website includes a detailed lesson plan that includes two interactive games to help learners practice graphing ordered pairs. The scripted discussion is a little cheesy and a...
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Vectors: Follow That Arrow

For Teachers 9th - 12th
Vectors and their connection to motion. A video will be presented to provide information for the class to use methods of solving vectors with and without grids. Real-world physical concepts will be explored in reference to vectors.
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Who is on that Bill? Alexander Hamilton and the Federalist Papers

For Teachers Higher Ed
Students, who are adult learners, participate in an Internet scavenger hunt in order to assimilate information about the biography of Alexander Hamilton and the Federalist Papers. They look at the Federalist and Anti-Federalist Papers...
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Is It Linear?

For Teachers 6th - 9th Standards
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
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Lines, Lines, Everywhere

For Teachers 8th - 10th
Students explore linear equation suing real life scenarios. In this algebra lesson, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions.
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Walking Home II

For Teachers 7th - 10th
Students explore the relationship between distance and time. They analyze a situation involving distance traveled in a given period of time, represent the situation graphically and algebraically, and discuss the concept of slope as a...
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The Beach Race - ID: 8320

For Teachers 9th - 12th
Students are introduced to a scenario of a beach race in which the equation to be figured out is should the contestant aim to land on the beach to minimize their total time for the race. They solve this optimization problem involving...
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Rhinos and M&M's

For Teachers 9th - 12th
Young scholars analyze patterns of exponential models by collecting data in paper folding and M&M investigations. They use graphing calculators to create scatter plots that lead to equations for the exponential models. They then...
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Exploring Vertical Asymptotes

For Teachers 9th - 12th Standards
Scholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...
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Teaching Atomic Structure Using Cooperative Learning

For Teachers 9th - 12th
Individuals in a group of four each take on a different role: atomic number expert, mass number expert, isotope expert, and nuclear atom expert. They teach each other about their area of expertise. As an assessment, a short quiz is...
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Stock Market Math

For Teachers 9th - 12th
Students calculate commission for a stock transaction through a broker using the relationship between percentages and decimals. They decide which stocks are preferable based on the price to earnings ratios listed on the stock market quotes.
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Exploring Diameter and Circumference

For Teachers 9th - 12th Standards
Learn how to identify the diameter and circumference of a circle. Then, collect data on a circle and relate it to the diameter and circumference of a circle. Last, plot data and find the line of best fit.
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The Space Cadet's Laboratory: Using Electromagnetic Energy to Study Astronomy

For Teachers 10th - 12th
Students build their own spectrophotometer to study light. In this physics lesson, students explain the dual nature of light. They calculate the angle of incidence and refraction using Snell's law equation.
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Cartoons for the Classroom: Higher Education Issues

For Students 9th - 12th
As your college-bound scholars prepare to leave the nest, this political cartoon analysis will have them thinking about current issues facing their generation. Background information helps them access 2 political cartoons regarding...
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DragonBox+ Algebra

For Students 5th - 9th
Here is a unique math app that takes the idea of solving equations and presents it through a puzzle-like game. The puzzle you are always trying to solve is getting the “box” alone on one side of the game board. This is accomplished by...
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Pardon Me. Do You Have Change For a Dollar?

For Teachers 5th - 8th
Upper elementary and middle school learners explore currencies from a variety of countries. They use the Internet, video, and engage in hands-on activities. They practice converting U.S. currency to foreign currency and vice versa. This...
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Algebra I Project: Make Your Own Business

For Teachers 8th - 10th
Learners explore the concept of algebra in real world situations. In this economics lesson plan, students design, plan, run, and evaluate a small business. Learners will create a product, market the product, and try to make a profit.