Content Showcase: Instructional Resources

In this tutorial we walk students through the Laws of Exponents.

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In this tutorial we walk students through the steps of doing a quadratic regression on a Desmos graphing calculator. The steps include showing how to create pseudo-quadratic data on a spreadsheet.

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In this presentation, learn how to identify the increasing and decreasing parts of a quadratic function. Cases include equations in vertex and standard form.

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In this Algebra Application, students study the life cycles of 13- and 17-year cicadas, as well as the populations of bird predators. Students develop a mathematical model using spreadsheets and investigate why the prime number life cycles help the cicadas. The math topics covered include: Mathematical modeling, Data gathering and analysis, Percent increase and decrease, Prime numbers and composites. This real world application of math concepts will engage your students.

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In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling, Linear functions, Data gathering and analysis, Ratios, Direct variation. This is a great back-to-school activity for middle school or high school students. This is also a great crossover activity that ties algebra and geometry.

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In this Algebra Application, students develop a quadratic mathematical model for calculating the speed of a car based on the length of its skid marks. Using this model, students investigate the corresponding parabola. The math topics covered include: Mathematical modeling, Quadratic functions in standard form, Square root formula, Data analysis. The culminating activity is for students to write a program, using either a spreadsheet or a computer language like Python, that can calculate the speed of a car, given the skid mark length and coefficient of friction as the two inputs.

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In this Algebra Application, students develop a quadratic mathematical model based for the path of fireworks. Using this model, students investigate the properties of parabolas, including orientation, y-intercept, and vertex. The math topics covered include: Mathematical modeling, Quadratic functions in standard, vertex, and factored form, Curve fitting, Solving equations. The culminating activity is for students to plan a fireworks displays that mathematically uses the properties of quadratics restricted to the first quadrant. Given the coordinates of the vertices, what are the equations of parabolas that fit the given parameters.

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In this Algebra Application, students develop a linear mathematical model based on the maximum heart rate during exercise based on age. Using this model, students investigate heart rate for moderate and vigorous workouts. The math topics covered include: Mathematical modeling, Linear functions, Families of functions, Computational thinking. The culminating activity is for students to create a simple program (using either a spreadsheet or a programming language like Python) to develop an exercise chart. This is a great back-to-school activity for middle school or high school students. A relevant real-world application allows them to review math concepts.

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In this Algebra Application, students examine the music industry, specifically the rise of Korean pop music, or K-Pop. Using industry data students examine tables and graphs of categorical data before identifying possible functional relationships. A mathematical model is developed to explore the relationship between viral videos and sales. Topics covered: Mathematical modeling, Linear regression, Categorical data, Functions.

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In this Algebra Application, students examine the budding industry of commercial space travel. Using data from the Bureau of Transportation Statistics, students build a mathematical model from historical airfare data. This model is used to predict when commercial space travel will become affordable. This also includes a discussion of inflation-adjusted costs and the future value of money. Topics covered: Mathematical modeling, Linear regression, Exponential functions, The time value of money.

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In this Algebra Application, students gather data to study the lengths of paper receipts. They also learn to estimate the total number of receipts produced worldwide using industry data. From this they can study the environmental impact of having to produce so many paper receipts. The math topics covered include: Measures of central tendency (specifically the mean), Scientific notation, Rates, Converting different units. The culminating activity is for students to make a persuasive case to retailers about finding alternatives to paper receipts, using the data they gathered and analyzed. This is a great back-to-school activity for middle school or high school students. A relevant real-world application allows them to review math concepts.

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In this Algebra Application, students learn about wildfires and the measurement of air quality. The math topics covered include: Scientific notation, Rates, Density, Data Analysis. The specific focus of this investigation is the health hazards from wildfire smoke. This includes a discussion of air density, measurement in microns, and measurement of air quality. Links to various web sites, including the EPA's site, provide relevant background information and data. The culminating activity is a case study of the wildfires in the Lake Tahoe area. Students analyze historical data and make a recommendation on the air quality. This is a great back-to-school activity for middle school or high school students. A relevant real-world application allows them to review math concepts.

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This tutorial provides an overview of solving division equations, with the focus on one- and two-step equations.

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This tutorial provides an overview of writing and solving multiplication equations. The focus is on one- and two-step equations.

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This tutorial provides an overview of numerical expressions in the context of multiplication and division expressions.

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This tutorial provides an overview of long division.

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In this tutorial look at different ways of dividing and the context in which each is used.

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This tutorial provides an overview of divisibility rules.

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This tutorial provides an overview of column multiplication.

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This tutorial provides an overview of multiplication and division fact families.

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This interactive reviews key second through fourth grade vocabulary on multiplication and division.

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This tutorial provides an overview of solving one-step division equations.

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This tutorial provides an overview of solving one-step multiplication equations.

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This tutorial provides an overview of using a facts chart to divide numbers. It starts by describing multiplication and division as inverse operations. This provides a way of reading the chart. Start with a number, which is the product of two factors, and find the corresponding row and column numbers that align with this product. Then students can write division statements.

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This tutorial provides an overview of the properties of multiplication.

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