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Checking County Numbers
Students use their county's information page to gather information about their community. Using the information, they create graphs from the tables provided and interpret the data. They write a paragraph showing their interpretation of...
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Graphing Inertia: An Oxymoron?
Eighth graders investigate Newton's Law of Inertia in order to create a context for the review of the use of different types of graphs. They practice gathering the data from an experiment and put it into the correct corresponding graph.
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Review for the Algebra One SOLs
Students review the standards for Algebra I. Using the text, they discover two problems that match each standard and solve them showing all steps on paper. They create a PowerPoint slide for each problem and go through the correct...
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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.
Pennsylvania Department of Education
Using Expressions and Equations
Sixth graders analyze expressions and equations. For this algebra lesson, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This lesson uses the formulas for the perimeter of a square and rectangle as...
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The Fourth Quadrant of Proportiona
Students experiment with scale to solve a problem presented in a video clip. They determine the correct size to use when constructing a model and evaluate the use of proportions in real life applications.
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Pede Patterns
Students generate number patterns for certain 'insects' from the mythical planet of Elsinore. Each 'Pede' is made up of square parts and has a number of feet. The patterns all link the number of feet and the number of squares. The...
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Toothpick squares
Students state the general rule for a practical situation. They describe a continuing pattern. They use toothpicks to help visualize the problem and answer it correctly.
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The Old Chicken Run Problem
Sixth graders apply problem solving strategies to work with a real life situation in which they need to determine the area. They determine the area of chicken runs that are rectangular in shape when give a partial perimeter.
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Lesson Plan for Fontana Mines
Students estimate and compute with rational numbers. They compare, order and convert among fractions, decimals and percents. Students analyze problems to determine if there is sufficient or extraneous data to solve.
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Mine Lesson #1: Slope slider
Eighth graders investigate linear equations. In this Algebra I lesson, 8th graders explore the effects that manipulating a linear equation has on the graph of the function through the use of a java applet.
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Reflections of a Quadratic Function
Pupils compare transformations of a quadratic function on a graph and determine equations of a quadratic functions based on a reflection. They graph a transformation of a function based on reflections. They etermine if a function is...
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The Bigger they Are . . .
Young scholars 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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Onwards and Upwards
Students analyze a graph representing college tuition increases, consider the possible causes and consequences of these tuition increases and collect data on tuition changes at colleges in the United States by region and graph the data.
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Nested Requests
Students apply the problem solving skill of Request-Response-Result in word problems where the requests are nested. They practice using the technique and determining when it is appropriate to be used.
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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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I Love a Parade
Students receive a worksheet that describes a parade. They tell what the 10th item in the parade will be. Students draw the parade, and tell the pattern they see using letters. Students design their own parade with the same pattern. They...
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Save Your Change
Learners solve problems involving exponential, logarithmic, and scientific notations. Using calculators, students explore investment problems. They use a formula and logarithms to determine the years to earn a particular income, figure...
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Representing the Unknown
Second graders solve number sentences and examine how to apply basic operations of mathematics to those problems. They also use symbols to represent unknown numbers and how they are used in equations.
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You Can Count on Squares!
Fourth graders engage in and explore to develop mathematical, specifically algebraic, ideas. Although the tasks are built around measurement, they are algebraic to the extent that they require 'formulae' to be derived form the geometric...
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Paul's Patterns
Fourth graders listen to the problem. As the students work ask them questions that require them to describe the patterns in their own words.
If the students are having problems with finding the patterns encourage them to explore the...
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Still More Lollies
Fourth graders listen to the problem to the class and think about how they solve the problem and to discuss it with their friends using number sentences in their written record of the solution.
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Square Milk Bottle Crates
Students attempt a problem that Students has the potential to have more than one solution. Hence the problem is accessible to a wide range of students. The problem is essentially about finding patterns and this is typical of a number of...
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Pizza Toppings 2
Students explore possible combinations of items. They devise and use problem solving strategies to explore situations mathematically. They examine using linear and quadratic patterns to solve combination problems. From a given...