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Title | Thumbnail Image | Description | Curriculum Topics |
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INSTRUCTIONAL RESOURCE: Tutorial: The Laws of Exponents | INSTRUCTIONAL RESOURCE: Tutorial: The Laws of Exponents
In this tutorial we walk students through the Laws of Exponents. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Laws of Exponents | |

Instructional Resource: Quadratic Regression on Desmos | INSTRUCTIONAL RESOURCE: Tutorial: Quadratic Regression on Desmos
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. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Quadratic Equations and Functions, Data Analysis | |

INSTRUCTIONAL RESOURCE: Tutorial: Increasing and Decreasing Quadratic Functions | INSTRUCTIONAL RESOURCE: Tutorial: Increasing and Decreasing Quadratic Functions
In this presentation, learn how to identify the increasing and decreasing parts of a quadratic function. Cases include equations in vertex and standard form. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Graphs of Quadratic Functions, Quadratic Equations and Functions | |

INSTRUCTIONAL RESOURCE: Algebra Application: Cicada Cycles | INSTRUCTIONAL RESOURCE: Algebra Application: Cicada Cycles
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Ratios, Proportions, and Percents, Percents, Numerical Expressions | |

INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter | INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Linear Functions, Applications of Ratios, Proportions, and Percents, Applications of Circles | |

INSTRUCTIONAL RESOURCE: Algebra Application: Accident Investigation | INSTRUCTIONAL RESOURCE: Algebra Application: Accident Investigation
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Quadratic Functions, Quadratic Equations and Functions | |

INSTRUCTIONAL RESOURCE: Algebra Application: Fireworks Displays | INSTRUCTIONAL RESOURCE: Algebra Application: Fireworks Displays
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Quadratic Functions, Quadratic Equations and Functions | |

INSTRUCTIONAL RESOURCE: Algebra Application: Creating an Exercise Chart | INSTRUCTIONAL RESOURCE: Algebra Application: Creating an Exercise Chart
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Linear Functions, Slope-Intercept Form | |

INSTRUCTIONAL RESOURCE: Algebra Application: The Rise of K-Pop | INSTRUCTIONAL RESOURCE: Algebra Application: The Rise of K-Pop
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Linear Functions, Data Analysis | |

INSTRUCTIONAL RESOURCE: Algebra Application: When Will Space Travel Be Affordable? | INSTRUCTIONAL RESOURCE: Algebra Application: When Will Space Travel Be Affordable?
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Exponential and Logarithmic Functions, Applications of Linear Functions, Data Analysis | |

INSTRUCTIONAL RESOURCE: Algebra Application: Why Are Receipts So Long? | INSTRUCTIONAL RESOURCE: Algebra Application: Why Are Receipts So Long?
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Laws of Exponents, Data Analysis | |

INSTRUCTIONAL RESOURCE: Algebra Application: Why Are Wildfires So Dangerous? | INSTRUCTIONAL RESOURCE: Algebra Application: Why Are Wildfires So Dangerous?
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. This is part of a collection of real world applications of algebra presented in GoogleDoc form. To see the complete collection of these resources, click on this link. Note: The download is the PDF version of the GoogleDoc. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Laws of Exponents, Applications of Ratios, Proportions, and Percents | |

INSTRUCTIONAL RESOURCE: Tutorial: Writing and Solving Division Equations | INSTRUCTIONAL RESOURCE: Tutorial: Writing and Solving Division Equations
This tutorial provides an overview of solving division equations, with the focus on one- and two-step equations. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Division Expressions and Equations | |

INSTRUCTIONAL RESOURCE: Tutorial: Writing and Solving Multiplication Equations | INSTRUCTIONAL RESOURCE: Tutorial: Writing and Solving Multiplication Equations
This tutorial provides an overview of writing and solving multiplication equations. The focus is on one- and two-step equations. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Multiplication Expressions and Equations | |

INSTRUCTIONAL RESOURCE: Tutorial: Multiplication and Division Expressions | INSTRUCTIONAL RESOURCE: Tutorial: Multiplication and Division Expressions
This tutorial provides an overview of numerical expressions in the context of multiplication and division expressions. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Division Expressions and Equations, Multiplication Expressions and Equations | |

INSTRUCTIONAL RESOURCE: Tutorial: Long Division | INSTRUCTIONAL RESOURCE: Tutorial: Long Division
This tutorial provides an overview of long division. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Long Division | |

INSTRUCTIONAL RESOURCE: Tutorial: Ways of Dividing | INSTRUCTIONAL RESOURCE: Tutorial: Ways of Dividing
In this tutorial look at different ways of dividing and the context in which each is used. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Division Expressions and Equations | |

INSTRUCTIONAL RESOURCE: Tutorial: Divisibility Rules | INSTRUCTIONAL RESOURCE: Tutorial: Divisibility Rules
This tutorial provides an overview of divisibility rules. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Division Facts | |

INSTRUCTIONAL RESOURCE: Tutorial: Column Multiplication | INSTRUCTIONAL RESOURCE: Tutorial: Column Multiplication
This tutorial provides an overview of column multiplication. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Multiply Multi-Digit Numbers | |

INSTRUCTIONAL RESOURCE: Tutorial: Fact Families, Multiplication and Division | INSTRUCTIONAL RESOURCE: Tutorial: Fact Families, Multiplication and Division
This tutorial provides an overview of multiplication and division fact families. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Multiplication Facts | |

INSTRUCTIONAL RESOURCE: Tutorial: Interactive: Basic Multiplication and Division Vocabulary, Part 2 | INSTRUCTIONAL RESOURCE: Tutorial: Interactive: Basic Multiplication and Division Vocabulary, Part 2
This interactive reviews key second through fourth grade vocabulary on multiplication and division. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Long Division, Multiply Multi-Digit Numbers | |

INSTRUCTIONAL RESOURCE: Tutorial: Division Equations | INSTRUCTIONAL RESOURCE: Tutorial: Division Equations
This tutorial provides an overview of solving one-step division equations. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Division Expressions and Equations | |

INSTRUCTIONAL RESOURCE: Tutorial: Multiplication Equations | INSTRUCTIONAL RESOURCE: Tutorial: Multiplication Equations
This tutorial provides an overview of solving one-step multiplication equations. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Multiplication Expressions and Equations | |

INSTRUCTIONAL RESOURCE: Tutorial: Division Facts | INSTRUCTIONAL RESOURCE: Tutorial: Division Facts
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. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Division Facts | |

INSTRUCTIONAL RESOURCE: Tutorial: Multiplication Properties | INSTRUCTIONAL RESOURCE: Tutorial: Multiplication Properties
This tutorial provides an overview of the properties of multiplication. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Multiplication Facts |