Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....

Go around and around on the complex plane. The sixth lesson in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore complex...

Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...

Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...

Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...

Take a another look at ellipses. The seventh segment in a series of 23 in a Precalculus module continues to investigate the graph and equation of an ellipse from the previous lesson. Scholars investigate the fact that the sum of...

Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...

Let the class color. The video shows two different types of fraction of shapes problems. Pupils learn to shade a given fraction of a shape along with determining the fraction of a shape that is shaded. Learners practice the skill with...

Don't be normal ... be exceptional in understanding statistics. Pupils analyze six different sets of census data using histograms or normal probability plots to determine whether each data set fits a normal distribution. They then get...

Do women with college degrees get married later? Using a provided scatter plot of the percentage of women who earn bachelor's degrees and the median age at which women first get married over time, pupils conduct a linear regression...

Nobody is too old to learn something new. Young statisticians analyze census data on the percentage of the population older than 65 years old in US counties. They fit a normal distribution to the data, determine the mean and standard...

Reciprocals is more than just flipping a fraction. Pupils watch a video to see how to find the reciprocal of any number. Individuals practice finding reciprocals of numbers including whole numbers and decimals.

Calculate fractional changes in numbers. Pupils watch a short video on determining the cost of a shirt after it has been reduced by a fractional amount. Scholars use worksheets to practice calculating increased and decreased amounts.

Mix things up a little to be improper. The presenter shows three example of changing a mixed number to an equivalent improper fraction. Scholars work several practice problems and application questions to refine the process.

Salary, education, census statistics ... how do people choose their careers? Scholars complete worksheets and rely on census data to determine their career aspirations. Then, pupils conduct Internet research about places they would...

Put fractions in simpler terms. Learners watch a video showing how to simplifying fractions. They then work through two worksheets to practice the skill.

What's the proper way to convert fractions? A short video shows three quick examples of converting an improper fraction to a mixed number. Pupils practice doing their own conversions to better understand the skill.

Multiply straight across. A video shows straightforward examples of multiplying fractions by multiplying the numerators and the denominators. Pupils practice the skill and give their answers as simplified fractions.

Biking may be an outlier. Using data from 10 states on the number of people reporting they bike to work, pupils calculate the measures of center. Scholars determine the range and interquartile range and find which provides a better...

Use graphs to interpret life in 136 counties. Pupils analyze histograms and describe the shapes of the distributions of data collected from several counties on different aspects of life. Scholars make predictions on the difference in...

Correlate education with unemployment rates. Individuals compare state and regional unemployment rates with education levels by calculating the correlation coefficient and analyzing scatter plots. Pupils begin by looking at regional data...

Data displays are more than just a bunch of numbers. Small groups access census results and create eye-catching data displays. Teams choose a statistic and collect data points for five locations. Classmates present their infographics to...

Create a variable list of problems. Groups come up with four scenarios. Each situation represents different types of variation, direct, inverse, joint, and combined. Teams then generate questions about their contextual problems for...

Put your knowledge of sample surveys to good use. Pupils begin by conducting a survey of class members. They identify an appropriate topic and sampling technique; collect and organize their data; compute and analyze statistical measures;...