Pennsylvania Department of Education
Using Expressions and Equations
Sixth graders analyze expressions and equations. In this algebra instructional activity, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This instructional activity uses the formulas for the...
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Mixed Expressions and Complex Fractions
Students are introduced to mixed expressions and complex fractions. They work through several problems with the instructor and then complete a worksheet.
PBS
The Yo-Yo Problem
What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...
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Uncorking Work Problems
Explore the concept of work with your class, using bottles, water, and corks to calculate work, while using the formula work = rate x time. Middle schoolers conduct multiple experiments, timing how long it takes for water to drain out of...
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Flying with Pythagoras
A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided.
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
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Order of Operation
Create a slide show that explains and applies any of the operations and algebraic properties using integers. Slideshows are compiled, shown to the class, and critiqued for accuracy by the rest of the class.
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Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
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Multiplying and Dividing Rational Expressions
In this algebra worksheet, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.
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Chapter 6 Review Introductory Algebra
For this math worksheet, students find the solutions to the problems that coincide with each Algebra objective. They simplify the expressions.
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The Language of Algebra
Students compare the language of algebra to a foreign language. They play the game "Pictionary" to emphasize that pictures can represent words. After writing definitions and discussing the meaning of variable expressions, students, in...
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Simplifying Rational Expressions
For this algebra worksheet, students simplify fractions involving variables and coefficients. Students must factor polynomials to find common factors in 20 of the problems.
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Worksheet, Chapter 1: College Prep Algebra (Integers, Rational Numbers)
In this algebra worksheet, students evaluate equations, identify the inverse of numbers, translate words into a number sentence, compare expressions, and solve radicals. This six page worksheet contains a variety of 67 problems.
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Algebra
In this algebra worksheet, students evaluate the addition and subtraction expressions when y is given. Students complete 70 problems total on this worksheet.
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Algebra
In this algebra worksheet, students evaluate each addition and subtraction expression when y is given to them. Students complete 70 problems.
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Evaluate Expressions Using Factorials
In this algebra worksheet, young scholars identify the factorials of an equations. They solve exponential and absolute value equations. There are 12 questions with an answer key.
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Using Ratio to Express a Rate
In this Algebra I worksheet, 9th graders use a ratio to express a rate. The one page worksheet contains two multiple choice questions. Solutions are provided.
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Division Principle
In this division principle worksheet, students solve 20 different problems that include applying the division principle to determine the value of each variable. They solve each equation for the variable by getting the variable alone on...
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Algebra: Co-ordinates
Students use Cartesian coordinates. In this graphing lesson plan students use simple formulae, interpret coordinates, and create graphical representations. They express their work algebraically.
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Trigonometric Expressions and Identities
In this college level Pre-calculus worksheet, students use the trigonometric identities to factor and simplify trigonometric expressions. Students use algebra to prove various trigonometric identities. The three page...
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Algebra War
In 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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Worksheet Chapter 1, 1.2-1.8 College Prep Algebra
In this algebra worksheet, students 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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Number Properties
In this number properties worksheet, 7th graders solve 10 different problems that include applying various number properties to each. First, they determine which property they will use to solve the equation. Then, students write the name...
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Solving Linear Inequalities
In this linear inequalities worksheet, 10th graders solve 10 different problems that include various forms of linear inequalities. First, they determine the relationship of the numbers. Then, students multiply or divide to get like terms...
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