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Introduction to Linear Functions
Young scholars are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are...
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Discovering the Linear Relationship between Celsius and Fahrenheit
Students discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
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Cartesian Coordinate System
Students explore the Cartesian coordinate plane and plot points on the graph. They interpret coordinates for a point from the graph and give the ratio of rise over run for slope.
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The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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Hybrid Vehicles: Cut Pollution and Save Money
Learners examine how driving a hybrid car can save money and cut down on pollution. In this hybrid vehicles activity students complete an exercise that shows them how to work with proportions, percents, dimensional analysis and...
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Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction lesson, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
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Grade 3 Math-Advanced 1
In this grade 3 math worksheet, 3rd graders answer a set of 21 multiple choice "advanced" questions covering a variety of grade 3 concepts. Answers may be submitted online.
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How Much Will I Spend On Gas?
Students construct a linear graph. In this graphing lesson, students determine a monthly budget for gasoline. Students construct a t-chart and coordinate graph to display data. Resources are provided.
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Linear Functions: Are You Ready for the REAL World?
students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.
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The Corner Problem
Pupils explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Pupils use similar triangles to derive...
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Box Plots
Students review the concept of median, explore how to calculate quartiles for any size data set and experience how to build a box plot.
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Direct and Inverse Variation
Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine...
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Virtual Field Trip: Lodging and Meals
Students calculate the costs for lodging and meals for a virtual field trip. They calculate the number of nights lodging needed for road and city travel and the number of meals needed, the costs for each, and input the data using...
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Discovering Pi
Learners develop a formula that describes the functional relationship of the circumference of a circle to its diameter. Working with a partner, they measure the diameter and circumference of circular objects in order to discover the...
Pennsylvania Department of Education
Adding and Subtracting Rational Numbers to Solve Problems
Students explore the concept of probability. In this probability lesson, students use area to determine probability. Students use charts and spinners to help determine the probability of events such as flipping a coin or...
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Computer Graphing Calculator Explorations
Students explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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Addition and Subtraction in Center Time
First graders complete center activities as they practice their addition and subtraction skills. They listen to Rick Walton's, "How Many, How Many, How Many" before playing games, and completing addition and subtraction worksheets at...
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Triangle Exterior Angles Theorem
Students identify the measure of missing exterior angles. In this geometry lesson,students define and apply the exterior angle theorem to solve problems. They use Cabri software to create different angles and make investigations.
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Using Representations to Model Problems
student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...
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Graphs and Functions
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Practicing Arithmetic
Pupils practice single operation arithmetic ranging from single digit addition to long division of decimals or real numbers using Graphit. They use data sets and rules to graph ordered pairs.
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The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
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Problem Solving in Mathematics
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.