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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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Hybrid Vehicles: Cut Pollution and Save Money
Students examine how driving a hybrid car can save money and cut down on pollution.  In this hybrid vehicles lesson students complete an exercise that shows them how to work with proportions, percents, dimensional analysis and...
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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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Introduction to Solving Quadratic Equations by Factoring
Learners solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
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Writing a Function Rule
In this Algebra I/Algebra II worksheet, students determine the equation that correctly represents the relationship between the x and y values provided.  The one page worksheet contains four multiple choice problems.  Answers...
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Polynomial Functions
Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation...
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The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
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Inductive Reasoning
In this algebra worksheet, 10th graders apply inductive reasoning as they figure out the next number in the sequence or pattern. There are 53 problems.
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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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An Introduction to Sequences
Fourth graders are introduced to arithmetic and geometric sequences. For this mathematics lesson, 4th graders produce a variety of sequences by varying the starting number, multiplier, and the add-on number.
West Contra Costa Unified School District
Correlation and Line of Best Fit
Computers are useful for more than just surfing the Internet. Pupils first investigate scatter plots and estimate correlation coefficients. Next, they use Microsoft Excel to create scatter plots and determine correlation...
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Introduction to Arithmetic and Geometric Sequences
Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.
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Moving Straight Ahead
Students analyze the relationship between speed, time and distance. In this math lesson, students plan a school trip. Students determine the efficiency and cost effectiveness of a trip.
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Displaying Postcards
Students solve a problem in a systematic and mathematical way. The use of an equation is applied to a word problem situation. It is necessary that students be familiar with different types of equations.
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Properties of Logarithms
Eleventh graders investigate logarithms.  In this Algebra II lesson, 11th graders explore the properties of logarithms that are used to simplify expression and solve equations.  Students confirm their conjectures regarding the...
National Security Agency
A Balancing Act: Solving Multi-Step Equations
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day lesson comes with about 20 pages of worksheets, warm-ups,...
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Square and Triangular Numbers
High schoolers use equations to represent practical situations. They solve linear equations and quadratic equations. The use of problem solving strategies is also developed.
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Square Milk Bottle Crates
Pupils attempt a problem that Students has the potential to have more than one solution. Hence the problem is accessible to a wide range of pupils. The problem is essentially about finding patterns and this is typical of a number of such...
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Weighing Time
Students devise a strategy to solve problems that is done in a systematic and mathematical fashion. The finding of the unknown value is the focus of the instructional activity. To solve linear equations proficiently is the skill of the...
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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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Math: Methods of Measurement
Fourth graders practice linear measurement skills by applying various measuring instruments to determine the heights of classmates. By measuring the heights of second graders and fourth graders, they construct tables of height and age...
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Poppy Meets Pythagoras
Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...
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Exploding Numbers
Students discuss how numbers increase when exponential growth is occurring. They view a video and compare exponential and linear growth with a graphing calculator.
EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...