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Formulae

For Students 8th - 10th
In this algebra worksheet, students evaluate expressions by substitution. They replace variables with values and multiply, add or subtract to solve the problems. There are 19 questions with an answer key.
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Exponents

For Students 11th
In this Algebra II learning exercise, 11th graders use the laws of exponents to simplify expressions.  The exponents include fractions, variables, radicals, and imaginary numbers.  The one page learning exercise contains...
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Gift Wrapping

For Teachers 6th
Sixth graders use the example of a gift wrapping service found in the mall in order to create a problem situation that can be solved mathematically. They convert the word problem into algebraic expressions to be solved.
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An Introdcution to Derive

For Teachers 12th
Twelfth graders explore Derive.  In this Calculus lesson, 12th graders investigate the menus and tools available in Derive.  In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle,...
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Introductory Algebra Chapter 1 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems that involve linear equations. They substitute the values given for each variable.
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Solving Systems by Substitution

For Teachers 9th - 10th
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
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Computing with Mathematical Formulas

For Teachers 9th - 12th Standards
High schoolers solve problems using formulas. In this algebra lesson, students evaluate numbers using substitution. They graph their answers using a TI and discuss the outcome.
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Solving Equations as Word Problems: Practice B

For Teachers 9th
Ninth graders investigate solving word problems.  In this Algebra I lesson, 9th graders explore the four step process for solving word problems:  Step 1-make a table of values, Step 2-identify the constant, Step 3-indetify the...
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Is the System Fair?

For Teachers 8th - 10th
Students investigate shapes and patterns. In this algebra lesson, students move from concrete to abstract understanding of shapes and concepts. They use variable to identify the unknown.
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Worksheet 19 Fall 1995

For Students 11th - Higher Ed
Students evaluate the equations that each variable is a function of time. They differentiate each expression with a comparison to the variable of t.
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Using Inequalities to Problem Solve

For Teachers 8th - 10th
Students explore inequalities. For this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division.  Students use inequalities to solve and graph real-world problems.
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Polynomial Functions

For Students 11th
In this Algebra II instructional activity, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page instructional activity provides explanation and examples along with...
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What's My Function?

For Teachers 5th - 6th
Students use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
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Phase Diagrams

For Students 11th - Higher Ed
In this phase diagram worksheet, students use a phase diagram to determine the critical point, phase boundaries, and phase transitions. This worksheet has 20 problems to solve.
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Transforming Formulas

For Students 7th - 12th
In this formulas worksheet, students transform and algebraically manipulate formulas for various variables.  There are 5 multiple choice questions.
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Building a Rover

For Teachers 6th - 8th
Students investigate properties of lines and points by making a rover. In this algebra lesson, students plot points correctly on a coordinate plane. They identify coordinate pairs given the plots and lines.
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Seesaw Balances

For Teachers 6th - 12th
Students determine how the weights of 7 objects on a seesaw can vary and still be in balance. They also write equations in algebraic terms, how to change 3 variables in an equation expressed in algebraic terms to obtain the correct...
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What's My Function?

For Teachers 5th
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
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Worksheet 18 Fall 1995

For Students 11th - Higher Ed
For each of the equations they find the values of the rational expressions. Then they differentiate each expression in relation to the value of t.
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Implicit Differentiation

For Students Higher Ed
For this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
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Writing a Function Rule

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the equation that correctly represents the relationship between the x and y values provided.  The one page worksheet contains four multiple choice problems.  Answers...
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Regressive Music

For Teachers 9th - 12th
Student use the Ti calculator to graph sinusoidal graphs. In this calculus lesson, students use the CBL to collect and analyze data of sinusoidal graphs. They manipulate their collected data and make predictions.
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The Lift Equation

For Teachers 9th - 10th
Students use the FoilSim educational software program to complete an activity regarding lift. They solve a multivariable equation for each of the variables and apply the results to various problems in different situations.
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Inequalities

For Teachers 7th
Seventh graders graph solutions for inequalities on a number line. They solve 1 and 2 step inequalities in one variable. Students also check solutions to 1 and 2 step equations in one variable

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