Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...

Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.

Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...

Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...

Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or...

Ninth graders review the information that they have already learned with regard to linear equations and graphical representations. They then assist in combining equations with a graphical element and complete various graphs with this...

For this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.

Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...

In this integral worksheet, students analyze equations using the gamma function. They sketch graphs of functions, and find the are between the graph and the x-axis. This two-page worksheet contains five multi-step equations.

Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...

Students investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This lesson helps to develop the skill of number sense.

Students investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is produced when...

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...

Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.

Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the...

What's so special about slope? Pupils first match cards with slope and y-intercept to graphs of linear equations. They continue the lesson by matching equations in slope-intercept form to the same graphs.

Students measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.

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...

Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...

Students concentrate on discrete quantiative data. They are shown that the vertical line diagram as a more appropriate way to present discrete quantiative data then bar charts. Students work as a group to help with the interpretation...

Students describe the role of density in driving deep ocean currents and the density layers of the ocean. They determine that the ocean is one continuous body of water with global currents that interact, with water surrounding all...

In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.

In this math worksheet, learners find the area bounded by the tangent line, the x-axis, and the line x =2. They also describe the graph of the function.