The fifth portion of the 25-part series introduces probabilities calculated from outcomes that are not equally likely. Class members use tables to calculate probabilities of events, add outcome's probabilities, and find...

Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...

Poetry and prose often have more in common than it initially appears. A sample comprehensive English exam has test-takers compare and contrast two passages to answer short response questions. The exam, which is part of a larger set of...

Keep track of your sixth graders' mastery of the Common Core math standards with this practice assessment. Taking a different approach than most standardized tests, this resource includes not only multiple choice questions, but also...

Watch the money grow daily. Scholars tackle a problem to determine how much money they will have if a dollar grows at 10 percent compounded daily after a month. Using that knowledge, learners notice the difference between varying savings...

Challenge young mathematicians to buy classroom supplies by staying within the means of a $1,000 budget. The mathematical activity provides learners with the opportunity to decide what items from the supply list would benefit a class of...

In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...

One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...

There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...

The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...

Quickly get to the decimal point. The last assessment in a nine-part series requires scholars to work with decimals. Pupils compare the race times of several athletes and calculate how much they have improved over time. During the second...

Young travelers plan a trip to Hilbre Island based on constraints on tides and time. They use a timeline to help determine the optimal day/time to make the trip.

Young mathematicians determine the number of hours it would take judges of the "Z Factor" television talent show to watch every act. Participants make estimates and assumptions to solve the problem.

Eat up the task on systems of equations. Given information on the total number of sandwiches and the total income, learners write and solve a linear system of equations to find the number of each type of sandwich sold at a shop. They...

This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...

Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...

Make sure to get enough for everyone. The three-part assessment task requires scholars to calculate with decimals. Learners determine the cost of school supplies and whether the teachers have ordered enough. The assessment is the sixth...

Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.

Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...

The class gets their mean and median all in a row with an assessment task that uses a population of ducklings to work with data displays and measures of central tendency. Pupils create a frequency chart and calculate the mean and median....

Class members demonstrate a proficiency with conditional probabilities through this task. Individuals calculate probabilities using multiplication and addition. They also distinguish between repetition and non-repetition while...

The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...

Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...

A 13-page test contains two 40-minute sections, which provide word problems and applied analysis to cover material from pre-algebra through geometry.