9-12
Students sometimes have difficulty using the order of operations when
evaluating expressions. By converting these expressions into binary
expression trees before evaluating them, students gain a better
understanding of the order of operations. In addition, students learn
to represent algebraic expressions using prefix notation, which is
often called "Polish Notation," because of the nationality of its
inventor, Polish logician Jan Łukasiewicz.
9-12
In this lesson, students transform images through rotation, reflection, dilation, and translation using matrix multiplication. After digitizing images by representing the images as matrices, they multiply image matrices by various transformation matrices, producing transformed images.
Pre-K-2, 3-5, 6-8, 9-12
Need a pentagonal pyramid that's six inches tall? Or a number line that goes from ‑18 to 32 by 5's? You can create all those things and more! Place the images you want, then export it as a PDF or as a JPG image.
6-8, 9-12
In this lesson, students will develop an understanding of the Fibonacci Sequence (and its connection to Golden Rectangles), Golden Ratio, Golden Rectangle, and the term
ratio (as it applies to rectangles). Students will use tools and construction techniques to demonstrate geometry prowess and be able to observe the Golden Rectangle in nature and in the classroom.
9-12
This lesson allows students to explore the idea that
rainforest deforestation is occurring at an exponential rate. Students will use
provided research about Amazon deforestation and conduct their own research to
determine whether deforestation is occurring exponentially.
9-12
This
activity uses a 2009 study based on the book
The Joy of Cooking that found portion sizes in the iconic cookbook
had expanded 60% since 1936 and 33% since 1996. Students use linear functions
to create models of weight as a function of calories and time, then use the
models to make projections about what impact increased portion sizes may have on
weight.
6-8, 9-12
Students will use vertical movement of an elevator to evaluate signed number expressions.
The idea behind the method of adding and subtracting signed integers offered in this lesson and the next is that the number of rules that students have to memorize and the amount of understanding are minimal, while the underlying concepts are not trivialized.
6-8, 9-12
In this lesson, students will adapt expressions that add or subtract two signed integers.
6-8, 9-12
In this lesson students measure their speed walking in a hallway and predicting how long it takes them to get to the local movie theater 3 miles away. This is an open-ended problem in which students must develop a strategy on how to collect the data, how to convert the data to MPH, and finally make a prediction. In addition to reasoning skills, students will practice unit conversion, prediction, proportions, and graphing.
9-12
In this lesson,
students examine and draw representations of cubes and then learn how to analyze
these representations using complex numbers. Students use what they know about
operations on complex numbers to see if a drawing is an accurate representation
of a cube. They also learn how to generate complex numbers that will produce
such representations.
