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"If You Hopped Like a Frog" by David M. Schwartz
Young scholars search for and generalize an algebraic pattern. They make and analyze a coordinate graph.
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"Bats on Parade" by Kathy Appelt
Middle schoolers examine numbers and try to find a pattern in their relationship. They write an algebraic expression for the nth term.
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What's My Function?
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
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"Comprehension of Word Problems" Using a Table
Sixth graders practice solving math problems by utilizing a data table. In this number sense lesson, 6th graders create a table using the numerical information about a fictitious farm's inventory. Students complete the empty segments by...
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Factoring Trinomials
Students factor trinomials and quadratics. In this algebra lesson, students solve quadratics when the leading coefficient is one. They use a special factoring pattern to solve the trinomial.
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Introduction to Parametric Equations
Students write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.
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Algebra II: Exponential Functions
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
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Math Activity: "Snake"
Fourth graders explore patterns by participating in a class math activity. In this early algebra lesson, 4th graders utilize a die and chart to keep record of a snake game in which students must utilize a math function to solve a problem...
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Perplexing Patterns
Seventh graders identify and find missing patterns. In this algebra lesson, 7th graders investigate numbers and sequences and complete the pattern. They make a chart and discuss similarities and differences.
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Tube Viewer Simulation
Students graph linear equations. In this algebra activity, students discuss the effect the change in one variable has in an equation. They discuss the effect equations have if you chage the value of the variable.
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Algebra II: Quadratic Functions
Students collect and organize data, make a scatterplot, fit a curve to the appropriate parent function, and interpret the results. Students translate among the various representations of the quadratic function, formulate equations, use a...
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New York State Testing Program Mathematics Test Book 3
In this eighth grade worksheet, 8th graders assess their knowledge of the major topics of algebra and geometry covered in eighth grade. The lesson contains twelve questions and a mathematics reference sheet.
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Problem Solving Using Power Polygons
Students investigate geometric shapes by creating figures on a plane. In this polygon lesson, students complete a worksheet based on the angles in a power polygon. Students identify the different types of polygons and define their...
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Using Math with Sale Papers
Fifth graders estimate their results and then prove through calculations. In this math lesson, 5th graders solve problems using multiplication, division, addition, and subtraction. They also use mental math to solve their problems.
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Triangle Wars
Learners explore geometry by participating in a class card game. In this triangle lesson, students utilize playing cards with shapes on them which they group up and discard, similar to "Old Maid." Learners complete a worksheet and answer...
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An Introduction to Sequences
Fourth graders are introduced to arithmetic and geometric sequences. In this mathematics lesson, 4th graders produce a variety of sequences by varying the starting number, multiplier, and the add-on number.
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Factoring Trinomials
Students factor trinomials and other quadratic functions. In this algebra lesson, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular polynomials.
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Basic Algebra and Computers: Spreadsheets, Charts, and Simple Line Graphs
Students, while in the computer lab, assess how to use Microsoft Excel as a "graphing calculator." They view visual representations of line graphs in a Cartesian plane while incorporating basic skills for using Excel productively.
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A Beating Heart
Students collect and analyze data using percent difference. In this algebra lesson, students relate the concepts of algebra to cardiac physiology.
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The Phone Bill Problem
Students write an equation for a linear function. In this algebra lesson, students collect data, plot it and graph it. They identify the equation of the graphed data and define the slope and y-intercept of the graph.
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Very Varied - Inverse variation
Students identify inverse variations. For this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...
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Be Direct - Oil Spills on Land
Students participate in an activity to simulate direct variation. In this oil spills on land instructional activity, students participate in a simulation using toilet paper and vegetable oil to explore the characteristics of direct...
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Hassan's Pictures - Linear Programming and Profit Lines
Students graph systems of linear inequalities. In this linear programming and profit lesson, students explore linear programming problems. They graph a feasible region in a linear programming problem and identify the profit lines. ...