Functions


  • Slope and House Construction

    Discover how math is required for quality construction when a Master Carpenter shares his experience and expertise. This video focuses on explaining slope as rise over run and shows how slope comes into play when building homes to take math out of the classroom and into real world problem solving. This resource is part of the Math at the Core: Middle School collection.

    Grades: 6-8
  • Comparing Algorithms: Guess My Rule

    Challenge yourself to figure out the rules for these function machines in as few output requests as possible. This interactive exercise focuses on using operations with positive and negative integers, input-output tables, and testing your decoding skills.

    Grades: 7-8
  • Function Machine

    Control the inputs and operations of a function machine to produce specific outputs. This interactive exercise focuses on exploring operations, making patterns, and the rules for calculations with positive and negative integers.
    Grades: 4-8
  • Finding Patterns to Make Predictions

    Make predictions then explore the patterns found in everyday objects like stairs. This interactive exercise focuses on developing an equation to represent a mathematical rule and working with virtual manipulatives to visualize a concept, taking math out of the classroom and into the real world. This resource is part of the Math at the Core: Middle School collection.

    Grades: 3-8
  • Comparing Exponential, Quadratic, and Linear Functions

    Analyze the numerical and graphical representations of functions. This interactive exercise focuses comparing linear, quadratic, and exponential functions and their graphical representations after completing a table to calculate ordered pairs. This resource is part of the Math at the Core: Middle School collection.

    Grades: 7-9
  • The Lowdown | Analyzing Functional Relationships: An Equitable Society?

    In this interactive, explore data presented in a series of graphs to evaluate whether we are any closer to having an equitable society than we were in 1963, the year of the historic March on Washington. In the accompanying classroom activity, students use the mathematical idea of rate of change to examine the economic, education, and social data in the interactive to determine whether we are any closer to equality in America than we were 50 years ago or whether equality remains a dream deferred. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 8
  • The Lowdown | Functional Relationships Between Quantities: Calculating Fuel Consumption

    In these interactive visualizations, explore the relationship between calculating miles per gallon (mpg) to gallons per mile in fuel use for vehicles. Most drivers think gas usage falls linearly (in a straight line) as mpg increases. But the actual relationship between the two is curved: one additional mpg has significantly greater impact in the gas consumption of an inefficient vehicle than it does in a more efficient vehicle. In the accompanying classroom activity, students will further explore this idea through guiding questions, classroom discussion, and a writing assignment. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 8
  • Manipulating Graphs

    Watch how a graph is altered when key elements of the equation change. This lesson focuses on how to manipulate the equation of a line in slope intercept form to match the graphs provided deepening the understanding of both the slope and y intercept's role in the expression. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
    Grades: 6-8
  • String Product: y = x^2

    Examine how a giant sculpture at the National Museum of Mathematics represents the solutions to the equation y=x^2. This video focuses on the basics of graphing quadratic functions and the relationship between x and y values along the parabola.

    This resource is part of the Math at the Core: Middle School collection.

    Grades: 8
  • Representing Functions

    Watch as the organ function grinder from the National Museum of Mathematics represents a quadratic function in a variety of ways. This video focuses on converting a verbal expression into an algebraic representation. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 8-12
  • String Product: Finding the Y-Intercept

    Examine how a giant piece of art at the National Museum of Mathematics reveals some unexpected relationships between coordinates on a parabola. This video focuses on the relationship between negative and positive points on the parabola and their y-intercept.

    This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

    Grades: 8
  • Modeling the Linear Relationship Between Fahrenheit and Celsius

    Explore the relationship between degrees Fahrenheit and degrees Celsius. This video focuses on developing an expression to model the relationship between the temperature scales using a line graph to calculate slope and the y intercept.

    This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

    Grades: 6-8
  • The Lowdown | Poverty Trends: What Does it Mean to Be Poor in America?

    Use math to learn about changes in US wealth distribution and poverty rate over time in this interactive from KQED. In the accompanying classroom activity, students interpret the graphs and consider how the poverty rate spike following the Great Recession of 2008 differs from poverty rate spikes of previous eras. To get the most from this lesson, students should able to interpret data involving percent increase and decrease, and they should be familiar with slope as rate of change over time. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 6
  • The Lowdown | What You Need to Know about Immigration Reform

    Interpret graphs showing changes over time in the percentage of foreign-born US residents and in annual deportations in this interactive from KQED. In the accompanying classroom activity, students use the interactive and look at how rates have changed over the decades. They also extrapolate to future years. To get the most from this lesson, students should be comfortable interpreting slope as rate of change over time. They should also be able to find the equation of a line when given two points. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 8
  • The Lowdown | Made in America: The High Cost of Fashion

    Investigate data on changes over time in where our apparel is made and how much we spend on it in these images from KQED. In the accompanying classroom activity, students use the interactive and graph the data. They also look for patterns and relationships. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 8
  • The Lowdown | Time for A Raise? What You Need to Know About the Minimum Wage

    Explore the numbers at stake in the debate over raising federal minimum wage in this interactive from KQED. The interactive compares nominal and real wages adjusted for inflation and how minimum wage rates differ throughout the country. In the accompanying classroom activity, students graph the data to find trends and patterns and learn that understanding the numbers can help them come to their own conclusions about the issue. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 7-8
  • Location Graphs

    Use your skills of deduction to fill in the missing information and demonstrate your expertise at interpreting graphs. This interactive exercise focuses on how line graphs can be used to represent data and provides an opportunity to decode unlabeled graphs to uncover their location.

    Grades: 6-8
  • Interpreting Stories and Graphs

    Demonstrate your problem solving skills by interpreting and sketching graphs. This interactive exercise focuses on how line graphs can be used to represent mathematical data and provides an opportunity to translate actions from a story into graph form, then to write your own story to coincide with a line graph.

    Grades: 6-8
  • Math in Fencing: Strategy & Connectivity

    Learn about the competitive sport of fencing along with the resulting mathematical problems and equivalent expressions that help determine the number of matches played per tournament in this video from the Center for Asian American Media. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 6-8,13+
  • The Lowdown | Counting Undocumented

    Explore the number of undocumented immigrants living in California by county and compare populations and labor force to the rest of the United States in this interactive from KQED. In the accompanying classroom activity, students look at the numbers in their own state and compare the center and variability to the rest of their region. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 7-8

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