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Functions and Their Graphs
Use a instructional activity to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test. However, the problems are...
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Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
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Ratio and Proportion: Basic Operations and Applications
Learners explore example problems dealing with ratios and proportions. Afterward, they read story problems and solve them using ratios and proportions. This four-page worksheet contains six multi-step problems.
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Data
Students collect data from an experiment they perform. For this data lesson, students use multiple representations to solve practical problems; describe advantages and disadvantages of the use of each representation. Then, they evaluate...
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Patterns and Algebraic Expressions
Scholars will solve problems, create patterns, and write algebraic expressions. In addition, they will learn how to represent a number with a variable.
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Budgeting: You Can't Manage What You Don't Know
Students discuss budgets. In this mathematics lesson, students watch an episode of Biz Kid$ about budgeting, participate in a guided group discussion, and create a pamphlet to teach others how to budget their money. Extension activities...
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Building Sets of 13 and 14
Compose and decompose sets of 13 and 14 and compare sets of each with your little learners. They use objects to construct sets of 13 and 14, record their answers, and compare sets in several different ways.
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How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
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Shadow Casting
Eighth graders use a meter stick that is placed on a horizontal surface and an object is moved along it so that the shadow length can be measured at different distances from the light source. They solve real-world problems involving...
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Functions
Fifth graders explore mathematics functions. In this functions lesson, 5th graders explore 1 and 2-step functions involving addition, subtraction, multiplication, and division. Students also practice solving problems that their...
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Combining Expressions 2
In this expression worksheet, young scholars combine like terms and perform the indicted operation. They solve problems involving exponents, with multiple variables. There are 15 equations to solve.
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Area of a Circle When Radius is Given
Five problems provide practice for learners to find the area of a circle given the distance of the radius. Answers on the key use pi as a variable and do not include fully computed numeric answers. To reinforce basic multiplication facts...
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Variables and Patterns: Determining an appropriate scale while graphing
Sixth graders determine appropriate scales when graphing data. In this graphing lesson plan, 6th graders use an the applet "Graph It" to determine what is an appropriate scale for their data.
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Teaching Radicals in Less Than Five Minutes
High schoolers simplify complex radicals following a specific technique. In this math lesson, students simulate the process using several decks of cards. They explore real life applications of radicals.
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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...
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Grab Bags
Eighth graders graph two inequalities with a single variable. They include drawing the intersection or union of inequalities on a number line. Students solve the linear equations using properties of equality and inequality. The lesson...
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Minimize Perimeter
Learners practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area. They use...
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Acceleration
In this acceleration worksheet, students solve 14 problems including finding work done on an object, the speed of an object, the distance traveled and the acceleration.
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Solving Systems of Inequalities
For this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
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Velocity
In this velocity worksheet, students solve 13 problems including finding acceleration of objects, forces on objects, velocity of objects and interpreting graphs of position vs. time.
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Love Algebra?
Eighth graders, while in the computer lab, access a web site to help them utilize manipulatives of cups and tiles to develop the skills necessary to understand multi-step equations. They assess the relationship between cups and tiles and...
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Paul's Patterns
Fourth graders listen to the problem. As the students work ask them questions that require them to describe the patterns in their own words.
If the students are having problems with finding the patterns encourage them to explore the...
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Nested Requests
Students apply the problem solving skill of Request-Response-Result in word problems where the requests are nested. They practice using the technique and determining when it is appropriate to be used.