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High School Mathematics Problems from Alaska:Cutting Cordwood

For Teachers 9th - 12th
Learners solve problems and answer questions about two young men attemtping to earn money by cutting cords of wood.
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Literal Equations

For Students 11th
In this Algebra II learning exercise, 11th graders solve literal equation for a specific variable.  The one page learning exercise contains instruction, worked examples, and nine practice problems.  Answers are not included. 
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How Old Did You Say?

For Teachers 2nd
Second graders explore and develop algebraic formulas based on their own ages as the known variable. This is a clever, and simple, way to introduce the concept of algebra to young students.
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Linear Equations

For Students 8th
In this Algebra I learning exercise, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line.  The five page learning exercise contains...
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Effects of Parameter Changes

For Teachers 8th - 10th
Students define properties of a quadratic equation. In this algebra lesson plan, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Growing Circles

For Teachers 9th - 12th
Students identify the equation to represent a circle. In this algebra instructional activity, students review properties of conics and how they are related. they use a robot to create a visual of circles and their application to the...
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Linear Equations

For Students 7th - 12th
In this Algebra I worksheet, students determine the graph of the equation of a line.    Students determine the x- and y-intercepts and graph. The three page worksheet contains six problems. Answers are not...
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Permutations with Repetition

For Students 9th - 11th
For this algebra worksheet, learners solve problems using permutations. They calculate the correct repetition using the formula for permutation. There are 2 questions with an answer key.
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Quadratic Equations with Complex Coefficients

For Teachers 11th - Higher Ed
Students solve and graph quadratic equations. For this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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Linear Equations

For Students 11th
In this Algebra II worksheet, 11th graders write the equation of a line given a table, the slope and a point, or two points.  The three page worksheet contains eleven problems.  Answers are not provided. 
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Approximating Pi

For Teachers 7th - 10th
Students approximate Pi using the lower and upper bound for the constant. In this algebra lesson, students work in groups of two to graph a circle and approximate Pi using the circumference. They repeat their estimation until they come...
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This Building is Tall

For Teachers 9th - 12th
High schoolers calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
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Infinite Geometric Series

For Teachers 11th
Eleventh graders investigate infinite geometric series.  For this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series.   The...
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"Comprehension of Word Problems" Using a Table

For Teachers 6th
Sixth graders practice solving math problems by utilizing a data table. In this number sense lesson, 6th graders create a table using the numerical information about a fictitious farm's inventory. Students complete the empty segments by...
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Linear Systems

For Students 11th - Higher Ed
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
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The Expenditure Sheet

For Teachers 9th - 10th
Students differentiate between expenditure and income. In this algebra lesson, students create a spreadsheet labeling the date, item and amount as they track their expenses. They format the cells of the spreadsheet to do all the...
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More for my Money

For Teachers 8th - 10th
Students solve problems involving ratio and proportion. In this algebra lesson, students analyze the currencies found in different countries. They create formulas to convert between the different currencies and use ratio and proportion...
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An Introduction to Measuring Theory

For Teachers 7th - 9th
Students investigate one, two and three dimensional objects. In this algebra lesson, students differentiate between different shapes of objects and write equations to represent each. They start with what they already know and prove...
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How Much Will I Spend On Gas?

For Teachers 3rd - 6th
Students construct a linear graph. In this graphing lesson, students determine a monthly budget for gasoline. Students construct a t-chart and coordinate graph to display data. Resources are provided.
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Who Does the Lottery Benefit?

For Teachers 8th - 10th
Students investigate the pros and cons of the lottery. In this algebra lesson plan, students use the formulas for permutation and combination to test their arguments about the lottery. They collect data about their argument and plot it...
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Chapter 5 - Objective 3.1 Slope Intercept

For Students 8th - 10th
In this slope intercept worksheet, students graph equations using the slope and the y-intercept. This one-page worksheet contains three problems.
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Introduction to Infinite Series

For Students 10th - 12th
In this algebra learning exercise, learners find the pattern and nth formula for different series. They decide whether a sequence will diverge or converge. There are 13 questions.
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Function Tables

For Teachers 8th - 9th
Students identify function using tables of data. For this algebra lesson, students create a tale of point and plot on a coordinate plane. They analyze the graph as being a function or not.
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Friction This

For Teachers 6th - 8th
Young scholars investigate road surface and calculate speed. In this algebra lesson, students analyze the roughness of a road and calculate distance and speed based on friction. They relate friction and energy to speed.