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Algebra I Project: Make Your Own Business
Students explore the concept of algebra in real world situations. In this economics lesson, students design, plan, run, and evaluate a small business. Students will create a product, market the product, and try to make a profit.
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Cartesian Coordinate System
Students explore the Cartesian coordinate plane and plot points on the graph. They interpret coordinates for a point from the graph and give the ratio of rise over run for slope.
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The Power of Algebra
First graders explore patterns. They look for patterns in number problems and use algebra as a means of solving general problems. Students devise a strategy to solve the number problem.
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I'm So Sorry I Ate Chocolate
Sixth graders investigate the magnitudes of the sides and angles of a triangle. They determine the proof of the Sine Rule before using it to solve triangles. They compare the Sine Rule to the Cosine Rule in this unit of lessons.
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Doubling Up
Fifth graders explore the powers of two and substitute values into their own names by solving a math word problem. They perform calculations with powers of numbers, find square roots, and explain the relation between a square root and a...
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Paper Airplanes
Students study paper airplanes. In this lesson on aerodynamics, students print out the folding directions for making paper airplanes and after making the planes test their paper airplanes to see how well each flies. Students weigh...
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Impossible Graphs
Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...
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Inequalities and Absolute Value
In this inequalities worksheet, students solve multi-step inequalities with absolute values and test the boundaries in the provided work space. There are 16 questions.
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Square Milk Bottle Crates
Students attempt a problem that Students has the potential to have more than one solution. Hence the problem is accessible to a wide range of students. The problem is essentially about finding patterns and this is typical of a number of...
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Still More Lollies
Fourth graders listen to the problem to the class and think about how they solve the problem and to discuss it with their friends using number sentences in their written record of the solution.
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The Old Chicken Run Problem
Sixth graders apply problem solving strategies to work with a real life situation in which they need to determine the area. They determine the area of chicken runs that are rectangular in shape when give a partial perimeter.
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Polygonal Strings
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
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Mechanically Inclined
Eighth graders examine the mechanical advantage of an inclined plane through experimentation.
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Jackson's Consecutive Numbers
Students generate patterns from a structured problem, finding a rule for the general term, and expresses it in words and symbols. They then devise and use problem solving strategies to explore situations mathematically.
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From a Square to a Rectangle
Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent...
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The Mandelbrot Set
Learners are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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Numerical Analysis: Polynomials
In this polynomial worksheet, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page worksheet contains approximately six problems.
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Tilted Squares and Right Triangles
Students investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
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Sars
Students discuss the Sars outbreak in 2003. In this biology lesson, students research the effect of the outbreak to the world. They create a public announcement about the topic.
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Systems of Inequalities
In this Algebra I/Algebra II learning exercise, learners determine the solution to a system of inequalities by graphing. The two page learning exercise contains explanation, instruction, and four worked problems.
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Impossible Graphs
Students distinguish between possible and impossible graphs of functions, and to learn why some graphs are impossible. They have practiced plotting functions on the Cartesian coordinate plane
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The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
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Pendulum Problems
Ninth graders explore how pendulums function. In this pendulums lesson plan students complete a pendulum lab activity.