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Lesson Planet

#### Partitioning a Hexagon

The task at hand is to partition a hexagon into two, four, and eight congruent figures. Make sure to give your wizards a sheet of triangle grid paper on which to decompose the hexagons. Have them explain which rotations, reflections, or...

Lesson Planet

#### Reflecting a Rectangle Over a Diagonal

Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.

Lesson Planet

#### Areas of Geometric Shapes with the Same Perimeter

A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different area...

Lesson Planet

#### A Rectangle in the Coordinate Plane

A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.

Lesson Planet

#### Comparing Snow Cones

Everyone wants to have the biggest snow cone possible, so would that be in cone-shaped cup or a more cylinder-style cup? Hungry geometry juniors compute the volume of each in this practical task.

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#### Congruent Segments

The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another.

Lesson Planet

#### Mt. Whitney to Death Valley

This is an intriguing problem that brings together real-world data, technology, and mathematical problem solving. If visibility wasn't an issue, could you see from the highest point in the lower 48 states, Mt. Whitney, to the lowest...

Lesson Planet

#### Strict Parents

Are your parents or guardians strict? That's an interesting question many of your pupils are probably interested in discussing. How do you design a study directed at your high schooler to gain insight into that question? How do you...

Lesson Planet

#### Mathemafish Population

It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

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#### Population and Food Supply

What does it mean for something to grow exponentially, and how does that compare to linear growth? This activity tries to help learners gain an understanding of these concepts while modeling real-world problems. Linear and exponential...

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#### Two Squares are Equal

This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...

Lesson Planet

#### Selling Fuel Oil at a Loss

Learners are asked to advise a fuel oil dealer on a possible investment. They must use two different rates to set up an equation and solve to determine how much oil he should sell now to break even after selling the remainder the next...

Lesson Planet

#### 2007 U.S. National Chemistry Olympiad Local Section Exam

Sixty multiple choice questions cover the entire gamut of chemistry concepts. This is the local section of the U.S. National Chemistry Olympiad, where your chemistry candidates take a shot at entering the national competition. They...

Lesson Planet

#### 2002 U.S. National Chemistry Olympiad National Exam - Part I

As to be expected from the American Chemical Society Olympiad Examinations Task Force, this 60-question test tops the charts in terms of excellence. It consists entirely of multiple choice questions designed to assess a year's worth of...

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#### 2002 U.S. National Chemistry Olympiad National Exam - Part III

Two laboratory problems are put forth for chemistry learners. They are to plan and carry out an experiment that will answer each of the questions. The first asks them to investigate a relationship between the surface area of a potato and...

Lesson Planet

#### 2000 U.S. National Chemistry Olympiad National Exam - Part I

The National Chemistry Olympiad exams are comprehensive tests covering an entire year of chemistry concepts. You can use them as practice for competing in the challenge, or simply as a review, or as an actual final exam for your general...

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#### 2009 U.S. National Chemistry Olympiad National Exam - Part I

The 2009 version of the first part of a national chemistry competition is posted for your use with olympiad hopefuls. Test takers deal with 60 multiple choice questions covering an entire year of chemistry curriculum. Use this to...

Lesson Planet

#### 2000 U.S. National Chemistry Olympiad Local Section Exam

This 60-question comprehensive exam was designed to determine who would go on to compete in the 2000 US National Chemistry Olympiad. Hopefuls answer multiple choice questions regarding all chemistry topics taught in the first year...

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#### 2001 U.S. National Chemistry Olympiad Part I

Sixty multiple-choice questions test on a variety of first year chemistry subjects. In order to succeed, exam takers must be competent with properties of elements, stoichiometry problems, gas laws, bond dissociation, and types of...

Lesson Planet

#### Fall 2005 Midterm Exam #1

You've got the power! With this physics midterm, you have the power to assess learners' grasp of electricity concepts. The exam is neatly formatted and provides a variety of question types: true or false, multiple choice, and problem...

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#### Fall 2003 Midterm Exam #1

Electricity is the focus of this college-level midterm exam. It requres physics learners to answer multiple choice and short answer questions in addition to evaluating several diagrams and graphs. This is appropriate for most high school...

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#### 2004 U.S. National Chemistry Olympiad - Local Section Exam

In this National Olympiad exam worksheet, chemistry apprentices answer sixty multiple choice questions including general chemistry topics such as atomic structure, gases, problem solving, writing and balancing equations and solutions....

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#### 2001 U.S. National Chemistry Olympiad Part III

Here is a comprehensive method for assessing chemistry learners' knowledge; have them approach two laboratory problems, plan their methods of solving each, and then actually carry out the experiments to find the answers. Both the...

Lesson Planet

#### 2001 U.S. National Chemistry Olympiad - Local Section Exam

Sixty multiple-choice chemistry questions make up this comprehensive exam used for the 2001 US National Chemistry Olympiad. Every topic that you would expect to approach in a general chemistry class is queried on. You could easily use...