EngageNY
Curves in the Complex Plane
Go around and around on the complex plane. The sixth instructional activity 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...
EngageNY
The Binomial Theorem
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...
EngageNY
Does Every Complex Number Have a Square Root?
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...
EngageNY
Inverses of Logarithmic and Exponential Functions
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...
EngageNY
Curves from Geometry
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 instructional activity. Scholars investigate the fact that the...
EngageNY
The Binomial Theorem
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...
Corbett Maths
Fractions Shapes
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...
US Department of Commerce
Immigration Nation
People come and people go. Given tabular census data on the annual number of immigrants from four different regions of the world between 2000 and 2010, pupils create double bar graphs and line graphs from the data. They analyze their...
US Department of Commerce
Featured Activity: Let’s Get the Count Right
Don't leave anyone out. To highlight the importance of the US Census to younger learners, an activity has them distribute markers to see if there are enough for each person. They see that counting the population is necessary to fairly...
US Department of Commerce
Let's Count!
Counting objects is easy as one, two, three. Young mathematicians count objects in the classroom and create data tables to record their results. They then write comparison statements and answer questions about the data.
US Department of Commerce
The New Normal
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...
US Department of Commerce
My Dream Home
Dream big or go home. After analyzing a bar graph on the number of bedrooms in US homes derived from census data, scholars design their own dream homes. They cut out two-dimensional shapes from construction paper to create models of...
US Department of Commerce
Comparing My State
How does your state compare? Using census data, scholars determine the total population and the number of 11-year-old boys and girls in two different states. They round and compare values, and then make up a question about the two states...
US Department of Commerce
The Place of My State
State the population of the state. Pupils research census data on the total population, the number of children their age, and the number of children of the same age and gender in their states. They write these numbers in standard,...
US Department of Commerce
Changes in My State
So much can change in seven years. Young statisticians choose three types of businesses, such as toy stores and amusement parks, and use census data to determine how the number of those businesses in their state changed between 2010 to...
US Department of Commerce
Educational Attainment and Marriage Age - Testing a Correlation Coefficient's Significance
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...
US Department of Commerce
Exploring Sampling Variability - Higher Education Attainment Across The United States
More education in statistics is always beneficial. Given cards that provide the proportion of adults with bachelor's degrees in 10 random US states, scholars individually determine the sample percentage of states in which more than 30...
US Department of Commerce
Over the Hill - Aging on a Normal Curve
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...
US Department of Commerce
Using Fractions to Compare Amusements Parks By States
Amuse learners with a lesson on amusement parks and fractions. Using provided census data on the number of amusement parks in each state, third graders represent the fraction of states that fall within a certain range. They create a...
US Department of Commerce
Sample Means - Exploring Sampling Variability
Sample an excellent resource on sampling variability. Pupils analyze census data on the percentage of homes in each state that have Internet access. They take random samples of different sample sizes, determine the sample means, and then...
Corbett Maths
Reciprocals
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.
Corbett Maths
Increasing or Decreasing by a Fraction of a Quantity
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.
Corbett Maths
Mixed Numbers to Improper Fractions
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.
US Department of Commerce
How Are Single-Parent Households Distributed Across the United States?
There sure are a lot of single-parent households in the country. After selecting one of four US regions to investigate, pupils create dot plots and box plots on the percentage of single-parent households with male parents and female...