Utah Education Network (UEN)
Extending the Number System
Don't feel negative about negative numbers. Individuals extend their knowledge of positive numbers and fractions to rational numbers. They see how to represent negative rational numbers on a number line, learn about opposites and...
Utah Education Network (UEN)
Percent, Division with Fractions, and Measurement Conversion
The resource will be 100 percent beneficial. The third of seven installments in 6th Grade Math starts with lessons on percent and percent problems. Pupils also learn how to divide fractions and apply ratio reasoning to convert units,...
Utah Education Network (UEN)
Ratio Relations
At this rate, the class will be experts on ratios and rates in no time. A class workbook teaches individuals about ratio language, using tables and tape diagrams to find equivalent ratios, and solving ratio problems. They then discover...
Bowland
Taxi Cabs
Determine the cheapest way to the airport. Pupils read a scenario about trying to get 75 people to the airport using two different sizes of taxis. Learners calculate the number of smaller taxis needed given a number of large taxis and...
Bowland
Spinner Bingo
Create a winning card. Given a description of a bingo game using two spinners, pupils determine which of three cards has the greatest chance of winning. Scholars then determine which are the best numbers to put on their own cards to give...
Bowland
Patchwork Cushions
Find out if there are enough squares. Given diagrams for the first four figures in a sequence, pupils try to determine the next figure. Individuals find the number of square and triangle pieces of fabric that are required to make...
Mathalicious
Pandemic
Young scientists use exponential growth and logarithms to model how a virus spreads through a population. Pupils watch a news clip about the 2012 outbreak of Ebola. Scholars then manipulate inactive graphs to see how various factors...
EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
EngageNY
The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
EngageNY
Graphing Rational Functions
Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...
EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
EngageNY
Rational Functions
Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...
EngageNY
Transforming Rational Functions
Move all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...
EngageNY
Curves in the Complex Plane
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...
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
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 lesson. Scholars investigate the fact that the sum of...
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...
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
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
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.
New Mexico State University
Agrinautica
Individuals play a computer game to terraform planets. Learners add plants, animals, fungi, and minerals to the planet surface by creating numerical expressions that represent the objects. After playing the game for a while, the class...