Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...

Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...

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...

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.

Pupils determine scale factors from one figure to another and the scale factor in the reverse direction. Scholars compute the percent changes between three figures. 

What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...

Get learners' minds rotating and reflecting while looking for symmetry. Pupils investigate figures to determine the number of lines of symmetry and if the figure has rotational symmetry. Classmates work together in groups to find out the...

Beginning in 1851, Thoreau recorded the dates of the first spring blooms in Concord, and this data is helping scientists analyze climate change! The culminating instructional activity in the series of four has pupils graph and analyze...

You can lower your ecological footprint by recycling! Lesson four in this series of five has individuals, through the use of a computer, calculate their ecological footprints. Through discussions and analysis they determine how many...

Titration calculations require concentration. The 10th lesson in an 11-part series challenges young chemists to use titration in order to determine the molarity and mass percent in concentrated vinegar. Analysis questions encourage...

Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...

Almost every phone has GPS installed, but a large number of teens don't know how the technology works. An initial activity illustrates how GPS determines a location on Earth. Scholars then apply trilateration procedures to a...

Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...

Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.