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Functions and the Vertical Line Test
Learners examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
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Another Dartboard
Fifth graders solve a word problem that involves predicting probabilities of an event and making deductions from probabilities. They discuss dice and coins and the probability of rolling each number or face of the coin, and in small...
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Introduction to Plates, Axles, and Gears
Students are introduced to the function and design of the following Lego pieces: beams, bricks, plates, axles, tires, hubs and bushings. They then work with a partner to build something using only these pieces.
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Calendar and Opening
Young scholars review the days of the week and tell what the current day is by singing a song. They fill in the sentence telling the day of the week it is and then discuss what day yesterday was and the name of the day tomorrow and then...
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Introduction to Linear Functions
Students 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 discussed...
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Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction activity, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
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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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Modular Arithmetic
Students investigate modular arithmetic and how to use it to solve real world problems. In this modular arithmetic lesson, students use computers to work on modular arithmetic after a teacher guided lesson. They complete guided practice...
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The Tale of the Feral - Care and Multiplication of Feral Cats
Students differentiate between a feral cat and a domesticated cat. In this cat lesson plan, students use the scientific method, calculate averages, solve story problems, and learn how a caretaker can help a feral colony live safely.
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Sloping and Intersecting a Linear Function
Students examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
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Will There be Enough Water?
Students investigate water usage, water available, and water demand historically in the local area. They use projections of water usage, availability and demand up to the year 2050. Students use graphs to relate as well as compare and...
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Line of Best Fit
Students explore the concept of linear regression. In this linear regression lesson, students do a Barbie bungee activity where they collect linear data. Students plot their data using a scatter plot. Students determine a line of best...
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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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Measuring Supporting Structures
Students calculate the volume of the Pantheon's columns and estimate changes in weight given different parameters.
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Triangular Numbers
Young scholars are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
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Bead It!
Fourth graders use colored beads in two problems and explore the use of proportional reasoning as a problem solving method. Working Students, in groups, explain their reasoning strategies orally, and through drawings.
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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.
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Counting Pills
Students are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.
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Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
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The Great Button Sort
Students practice figuring out how items have been sorted. They also sort buttons in small cooperative groups. They color and sort their own paper buttons and then give their button sort to another student to see if he or she can figure...
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The Topsy-Turvy Twins
Fourth graders read the problem and brainstorm for ways to solve the problem - list these on the board for the students to refer to as they solve the problem. They work in pairs and focus on the strategy selected.
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The Bigger they Are . . .
Students do a variety of data analyses of real-life basketball statistics from the NBA. They chart and graph rebounding, scoring, shot blocking and steals data which are gathered from the newspaper sports section.
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How Many Bears in the Forest?
Third graders model the tag and recapture of bears and use proportions to estimate the population of the bears in their forest. This is a statistical sampling method used by scientists and naturalists to determine population numbers.