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7.RP Music Companies, Variation 2
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
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7.RP Music Companies, Variation 1
We've got the beat! And your musically-minded mathematicians will tap their toes as they determine which music company would be getting a better deal based on their offers to buy out TunesTown. The topic is extended in an additional task...
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Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.
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Estimating the Mean State Area
Seventh grade statisticians randomly select five states and then determine the mean area. The class then works together to create a dot plot of their results.
Illustrative Mathematics
Waiting Times
Probability prevails in this assignment as youngsters determine the probability of finding a blue pen in a cereal box when they can come in blue, green, yellow, or red. Learners set up a simulation to determine the outcome of compound...
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Distances on the Number Line 2
Simple tasks are presented for your seventh grade math masters. They are to determine whether two numbers on a number line are equidistant from zero and what the two added together would be.
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Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
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Flower Vases
Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.
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Glasses
Provide your class some practice with the dimensions of geometric figures. Here you have a set of three different-shaped, stemmed drinking glasses with diameters and heights provided. Math-minded individuals calculate the volume of each....
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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...
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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.
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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...
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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.
Illustrative Mathematics
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.
Illustrative Mathematics
Pennies to Heaven
Even though pennies seem to be relatively thin, stack enough of them into a single stack, and you could have quite a high stack. Enough so, that the final result can be a surprise to you as well as your class. This activity centers...
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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...
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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...
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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...
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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...
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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...
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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...