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Illustrative Mathematics

Equivalent Expressions?

For Teachers 7th - 8th Standards
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
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Lesson Plan
Curated OER

Determination of Equivalent Weight of an Acid

For Teachers 10th - Higher Ed
In this chemistry worksheet, students look for the weight of acid and examine its mass using chemical equations and a laboratory procedure.
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Lesson Plan
Curated OER

When Big Gets Smaller

For Teachers 4th - 6th
Upper elementary learners select one of the four phrases stated and write it in each box. Then they choose the best appropriate answer and explain why they chose it for each equation.
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Lesson Plan
Curated OER

Regents Exam Questions: Properties of Logarithms 1

For Teachers 10th - 12th
For this logarithms worksheet, students match given equations to its equivalent equation. Students solve logarithms. This four-page worksheet contains twenty multiple-choice problems. Answers are listed on the last page.
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Lesson Plan
Curated OER

Identical Twins

For Teachers 6th
Sixth graders work with equivalent fractions, decimals, and percents. In this equivalency lesson plan, 6th graders participate in a number of activities aimed at increasing their understanding of equivalent expressions. They form a human...
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Lesson Plan
Curated OER

Math B Regents Questions by Performance Indicator: Logarithms

For Teachers 10th - 12th
For this logarithms worksheet, students solve logarithm equations.  They read story problems and find equivalent expressions to given logarithms.  This three-page worksheet contains 13 problems.  Answers are provided on the last page.
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Lesson Plan
Curated OER

Adding and Subtracting Fractions

For Teachers 8th - Higher Ed
In this adding and subtracting fractions worksheet, students solve 5 sets of problems related to the adding and subtracting of fractions. First, they identify that each fraction has a common denominator and then simplify by adding or...
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Lesson Plan
Curated OER

Logarithms

For Teachers 12th
In this logarithms worksheet, 12th graders solve and complete 54 various types of problems. First, they write the numbers in the format of an exponential equation. Then, students write each problem listed and translate into log notation....
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Lesson Plan
Curated OER

New York State Testing Program

For Teachers 6th - 8th
In this state testing worksheet, students solve problems on a variety of topics studied throughout the year.  They find the median, solve algebraic equations, solve proportions, simplify expressions, find percents, and complete...
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Lesson Plan
Curated OER

Substitute into Simple Expressions

For Teachers 6th - 8th
Learners simplify simple equations. Using a maze game, young mathematicians speculate about the size of different algebraic values and what other equivalent expressions might look like. It is a nice beginning activity for introducing...
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West Contra Costa Unified School District

Matching Quadratic Functions

For Teachers 8th - 10th Standards
Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through their graphical...
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Lesson Plan
Curated OER

Sentence Match

For Teachers 5th
Fifth graders explore the concept of equivalency. For this math lesson, 5th graders write their own word problems and pair them to appropriate algebraic number sentences.
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Lesson Plan
Pennsylvania Department of Education

Using Expressions and Equations

For Teachers 6th
Sixth graders analyze expressions and equations. In this algebra lesson, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This lesson uses the formulas for the perimeter of a square and rectangle as...
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Lesson Plan
Alabama Learning Exchange

Writing Word Equations

For Teachers 9th - 12th Standards
Young scholars explore the concept of chemical formulas.  In this chemical formula lesson plan, students watch a video about balancing chemical equations.  Young scholars conduct an experiment using silver nitrate and sodium phosphate. ...
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Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 2

For Teachers 5th - 7th Standards
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
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Lesson Plan
Curated OER

Graphs and Functions

For Teachers 7th - 9th Standards
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
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Lesson Plan
Curated OER

US Households

For Teachers 9th - 12th Standards
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
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Lesson Plan
Curated OER

Solving Systems by the Elimination Method

For Teachers 9th - 12th Standards
Pupils solve equations by elimination and use the TI to graph the lines and find the point of intersection.
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Lesson Plan
Curated OER

Equivalent Fractions

For Teachers 3rd - 6th
Students describe importance of fractions in everyday life by identifying equivalent fractions and manipulating pizza pieces to show examples of equivalent fractions, and demonstrate knowledge of how whole can be divided into equal-sized...
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Lesson Plan
Curated OER

Introductory Algebra Chapter 10 Review

For Teachers 6th - 8th
For this math worksheet, students solve the problems for the quadratic equations. They factor the equations and determine the probability of the two solutions.
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Lesson Plan
Curated OER

Introductory Algebra Chapter 2 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems that use linear equations. They check to see if the solutions are true for each equation.
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Lesson Plan
Curated OER

Punch Mix-up

For Teachers 5th
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction activity, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
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Lesson Plan
Curated OER

Solving Systems by Graphing

For Teachers 9th - 11th
Students solve systems of equation through graphing. In this algebra lesson, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their lines...
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Curated OER

Art Class, Variation 2

For Teachers 6th - 8th Standards
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green. 

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