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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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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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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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Two-Step Equations

For Teachers 6th
Sixth graders work through a two-step equation with their teacher. After reviewing one-step equations, they complete a worksheet using tiles and colored pencils to complete two-step equations. To end the lesson, they write out the step...
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Introduction to Linear Functions

For Teachers 9th - 12th
Young scholars are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are...
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Chapter 6 Review Introductory Algebra

For Teachers 6th - 8th
In this math worksheet, young scholars find the solutions to the problems that coincide with each Algebra objective. They simplify the expressions.
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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, Chapter 1: College Prep Algebra (Integers, Rational Numbers)

For Students 9th - 12th
In this algebra learning exercise, students evaluate equations, identify the inverse of numbers, translate words into a number sentence, compare expressions, and solve radicals. This six page learning exercise contains a variety of 67...
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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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Questions...?

For Students 7th - 9th
In this ELL grammar worksheet, students ask a different classmate each of 9 questions while writing down their answers. They choose three of six time expressions and tell a classmate where they were. There are teachers' notes that...
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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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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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Implicit Differentiation

For Teachers 11th - 12th
Students implicitly differentiate functions .  In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable.  Students find the derivative of an equation...
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Reading Graphs

For Teachers 6th - 8th
Pupils practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
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I Can Do This! Systems of Equations

For Teachers 8th - 9th
Pupils solve systems of 2-by-2 linear equations using tables, graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
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Reading Graphs

For Teachers 7th - 9th
Learners plot functions on the Cartesian coordinate plane. They explore lines and parabolas. Students analyze graphs and answer questions about the information presented on the graph using an online program.

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