# Algebraic Concepts Teacher Resources

Find Algebraic Concepts lesson plans and worksheets

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Lesson Planet

#### 6th Grade Transition Math

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.

Lesson Planet

#### Common Core Math: 3rd Grade

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

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...

Lesson Planet

#### Polynomial Expressions

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...

Lesson Planet

#### Common Core Math: 8th Grade

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.

Lesson Planet

#### Common Core Math: 7th Grade

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.

Lesson Planet

#### Number and Quantity: High School Common Core Math

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.

Lesson Planet

#### Basic Algebra Word Problems

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.

Lesson Planet

#### Basic Algebra: Evaluate Expressions

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...

Lesson Planet

#### Abstract Rate Problem

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.

Lesson Planet

#### Rewriting Numerical Expressions

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...

Lesson Planet

#### Basic Algebra and Graphing for Electric Circuits

In this electronics worksheet, students evaluate mathematical expressions to complete 16 short answer and problem solving questions.

Lesson Planet

#### Basic Algebra

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...

Lesson Planet

#### Residential Power System

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...

Lesson Planet

#### Basic Algebra - Expressions, Input, Output

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...

Lesson Planet

#### Basic Algebra and Computers: Spreadsheets, Charts, and Simple Line Graphs

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.

Lesson Planet

#### Basic Algebra Practice Problems Part 1

In this algebra word problems worksheet, students use their problem solving skills to solve 31 basic algebra problems and word problems.

Lesson Planet

#### Simple Equations

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...

Lesson Planet

#### Algebra: Linear Equations 4

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.

Lesson Planet

#### Algebra: Linear Equations 4

Lesson Planet

#### Equations 2

"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...

Lesson Planet

#### Equations 2

Lesson Planet

#### Equations 3

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:...

Lesson Planet

#### Equations 3

Lesson Planet

#### Square a Binomial

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...

Lesson Planet

#### Basic Algebra Practice Problems Part 2

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...

Lesson Planet

#### Basic Algebra: Formulas

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.

Lesson Planet

#### SAT Prep: Test 3 Section 2 Part 1

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,...

Lesson Planet

#### SAT Prep: Test 1 Section 6 Part 3

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.

Lesson Planet

#### SAT Prep: Test 8 Section 5 Part 1

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...

Lesson Planet

#### SAT Prep: Test 8 Section 5 Part 2

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.

Lesson Planet

#### SAT Prep: Test 1 Section 9 Part 2

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...

Lesson Planet

#### The Da Vinci Code: Math Fun

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...

Lesson Planet

#### Abstract Rate Problems

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.

Lesson Planet

#### Basic Algebra - Lesson 4 Order of Operations

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

Lesson Planet

#### Basic Algebra

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.

PD Learning Network

#### Algebra Touch

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...

Lesson Planet

#### Language of Algebra

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...

Lesson Planet

#### Intermediate Algebra

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...

Lesson Planet

#### Derivative – Standard Definition

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....

Lesson Planet

#### Module 7: Connecting Algebra and Geometry

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...

Lesson Planet

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

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...

Lesson Planet

#### Solving for an Unknown Variable

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.

Lesson Planet

#### Regular Tessellations of the Plane

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...

Lesson Planet

#### Quadratic Functions

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...

Lesson Planet

#### Substitution to Solve a System of Two Equations

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.

EngageNY

#### Solving for Unknown Angles Using Equations III

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...

Lesson Planet

#### Pre-Test Unit 4: Linear Funcitons

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...

Lesson Planet

#### Writing Equations for Parallel Lines

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...

Lesson Planet

#### Everything Balances Out in the End

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...

Lesson Planet

#### A Beginning Look at Basic Algebra-Lesson 1-12

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...

Lesson Planet

#### Swimming Pool II

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...

Lesson Planet

#### Algebra 1 Chapter 1 Test: Algebraic Expression

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...

Lesson Planet

#### How Does Your Population Grown?

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...

Lesson Planet

#### Add a Little Art to Your Math

Origami presents a beautiful way to express and test geometric and algebraic concepts.

Lesson Planet

#### Math Review: Algebraic Operations

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...

Lesson Planet

#### Compound Inequalities

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...

Lesson Planet

#### Mr. P's Life

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...

Lesson Planet

#### SAT Prep: Test 7 Section 2 Part 1

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...

Lesson Planet

#### Mat 044 Review Sheet 2

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. ...

Lesson Planet

#### Multiple Representations

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,...

Lesson Planet

#### Factoring Trinomials

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...

Lesson Planet

#### California State Standards: Algebra I

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...

Lesson Planet

#### Can We Handle the Truth? How are a Truth Table, a Logic Circuit and Boolean Algebra Related?

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...

Lesson Planet

#### CAHSEE Practice: Problems 52-53

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...

Lesson Planet

#### CAHSEE Practice: Problems 20-22

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.

Lesson Planet

#### Basic Algebra Word Problem

In this algebra worksheet, there are 18 word problems and dealing with different real world scenarios. There is also an answer key provided.

Lesson Planet

#### Basic Algebra Word Problem

In this algebra worksheet, students rewrite the problem using symbols and solve for the unknown. There are 18 questions with an answer key.

Lesson Planet

#### Awareness of Pre-algebra Concepts

Students demonstrate different algebraic equations using Borenson's Hands-On Equation materials. They work in a cooperative group to solve algebraic equations.

Lesson Planet

#### Area of a Parallelogram - Geometry Help

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.

Lesson Planet

#### Prealgebra

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...

Lesson Planet

#### Talk and Text Plans

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...

Lesson Planet

#### Write and Evaluate a Variable Expression for Total Cost (ax+b)

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.

Lesson Planet

#### Write and Simplify a Variable Expression for Age (ax+b)

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...

Lesson Planet

#### Algebraic Proof

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...

Lesson Planet

#### What Is Algebra?

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...

Lesson Planet

#### Writing Basic Algebraic Expressions (Example 2)

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...

Lesson Planet

#### Chemistry: Balancing Chemical Equations—Algebraic Method

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...

Lesson Planet

#### Representing and Interpreting Proportional Relationships

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...

Lesson Planet

#### Centerpiece

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...

Lesson Planet

#### End-of-Year Practice Test (Algebra II)

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...

Lesson Planet

#### Complex Fractions

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...

Lesson Planet

#### Twelve a Dozen

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.

Lesson Planet

#### Like Terms, Addition and Subtraction

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.

Lesson Planet

#### The Picture Frame Problem

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...

Lesson Planet

#### Multiplying Monomials

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.

Lesson Planet

#### Solving Systems of Equations

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.

Lesson Planet

#### M&M Exponential Activity

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.

Lesson Planet

#### Polynomials

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...

Lesson Planet

#### Who Wants to Win Millions: Variables

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.

Lesson Planet

#### Understanding the y-Intercept Student Activity Sheet 4

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...

Lesson Planet

#### Algebraic Notation—Introduction to Algebra

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.

Lesson Planet

#### Solving Fractions with Manipulatives

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...

Lesson Planet

#### Worksheet Chapter 1, 1.2-1.8 College Prep Algebra

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...

Lesson Planet

#### Math Leagues Contest 1

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,...

Lesson Planet

#### Complex Numbers - Algebra Help

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...

Lesson Planet

#### Shop Smart

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...

Lesson Planet

#### Awareness of Pre-Algebra Concepts

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.

Lesson Planet

#### Year 6 Booster

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...

Lesson Planet

#### Navajo Codes In World War II

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...

Lesson Planet

#### Module 6: Connecting Algebra and Geometry

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...

EngageNY

#### Algebraic Expressions—The Distributive Property

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...

Lesson Planet

#### Opening a Business

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...

Lesson Planet

#### Trashketball: Part 1

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.

Lesson Planet

#### Step by Step

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...

Lesson Planet

#### Quadratic Inequalities

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...

Lesson Planet

#### Algebraic Word Problems

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...

Lesson Planet

#### Solving Linear Systems

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...

Lesson Planet

#### Exponential Decay: Cool Sunglasses

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...

Lesson Planet

#### Quadratic Functions and Equations

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...

Lesson Planet

#### Scientific Notation: Light Years to Centaurus Constellation

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...

Lesson Planet

#### Functions

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...

Lesson Planet

#### Imaginary Numbers Are Real (Part 7: Complex Multiplication)

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...

Lesson Planet

#### Gravity

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...

Lesson Planet

#### Application of a Linear Equation in One Variable - Salary Plus Commission (Example 2)

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...

Lesson Planet

#### It's In the Mail

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...

Lesson Planet

#### Working With Equations

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....

Lesson Planet

#### Times Two

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...

Lesson Planet

#### Celebrating the Fourth of July!

Young scholars model projectile motion algebraically and graphically; and make predictions based on the quadratic algebraic model.

Lesson Planet

#### Equations in the Park

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.

Lesson Planet

#### Building A Garden Fence

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...

Lesson Planet

#### In a Triangle

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.

Lesson Planet

#### Linear, Exponential, and Quadratic Models: Bernoulli Effect

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...

Lesson Planet

#### Addition of Integers: Adding Electrons

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.

Lesson Planet

#### Consistent and Inconsistent Systems

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,...

Lesson Planet

#### PEMDAS, Order of Operations

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...

Lesson Planet

#### Symbols of Inclusion

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...

Lesson Planet

#### Repeating Decimals: Does 1 equal 0.999... ?

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...

Lesson Planet

#### Setting Up Equations

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,...

Lesson Planet

#### Trigonometry

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...

Lesson Planet

#### Sequence Notation

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...

Lesson Planet

#### State of NY Testing Program

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...

Lesson Planet

#### Sunshine Math-2

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...

Lesson Planet

#### NY State Testing Program

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...

Lesson Planet

#### Systems of Equations

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...

Lesson Planet

#### Awareness of Pre-algebra Concepts

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.

Lesson Planet

#### The Box Problem

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. ...

Lesson Planet

#### Negative Magic Squares

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...

Lesson Planet

#### Algebraic Relationships

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,...

Lesson Planet

#### Multiple Representations in the Real World

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...

Lesson Planet

#### Dinner Tables I

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...

Lesson Planet

#### Mystery Cards

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

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....

Lesson Planet

#### Algebra: Formulae

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

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

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 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

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

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

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

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

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

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...

Lesson Planet

#### Sunshine Math-3: Mars, XIX

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

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

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

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

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

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

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

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

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...

Lesson Planet

#### Math: Methods of Measurement

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

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

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

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 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

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

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

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...

Lesson Planet

#### Going Fishing

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.

EngageNY

#### Modeling Riverbeds with Polynomials (part 2)

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.

EngageNY

#### Multi-Step Ratio Problems

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...

EngageNY

#### Comparing Quantities with Percent

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.

Lesson Planet

#### Codebreakers!

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

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

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...

EngageNY

#### Modeling an Invasive Species Population

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.

Lesson Planet

#### Fractions

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

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

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...

Lesson Planet

#### Seeds, Plants, and Us

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...

Lesson Planet

#### Modeling Sizes of Planets

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...

Lesson Planet

#### Graphing and the Coordinate Plane

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...

Lesson Planet

#### Vectors: Follow That Arrow

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.

Lesson Planet

#### Who is on that Bill? Alexander Hamilton and the Federalist Papers

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...

Lesson Planet

#### Is It Linear?

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

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.

Lesson Planet

#### Walking Home II

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...

Lesson Planet

#### The Beach Race - ID: 8320

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

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

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...

Lesson Planet

#### Teaching Atomic Structure Using Cooperative Learning

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...

Lesson Planet

#### Stock Market Math

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.

Lesson Planet

#### Exploring Diameter and Circumference

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.

Lesson Planet

#### The Space Cadet's Laboratory: Using Electromagnetic Energy to Study Astronomy

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.

Lesson Planet

#### Cartoons for the Classroom: Higher Education Issues

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...

Lesson Planet

#### DragonBox+ Algebra

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...

Lesson Planet

#### Pardon Me. Do You Have Change For a Dollar?

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...

Lesson Planet

#### Algebra I Project: Make Your Own Business

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.