Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.
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Strong Arm Iteration
Students solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
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A Matter of Proportion
Students measure the relative heights of the mosaic giraffe and its trainer and compare their proportions to an actual giraffe and zoo trainer.
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Clock Arithmetic and Cryptography
Students perform basic operations in modular (clock) arithmetic. Students encode and decode messages using shift and affine ciphers. Students apply their multiplication, division, addition, and subtraction skills.
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The football and Braking Distance; Model Data with Quadratic Functions
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
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Limits
Students practice the concept of limits graphically, numerically and algebraically. They participate in an exploration lab, BINGO game and complete a puzzle.
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Water - Planning for the Future
Students explore and examine the increases and/or decreases for water user groups: irrigation, municipal, manufacturing, steam electric power generation cooling, livestock, and mining. They utilize percentage changes during their...
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Ratios, Proportions, and Percents - Week 4
In this ratio, proportion and percent worksheet, students solve problems involving ratios and proportions. They identify the percent of increase and decrease, solve ratio problems with proportions, and find sale prices. This two-page...
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Deductive Reasoning
In this deductive reasoning worksheet, 10th graders solve 6 various problems applying deductive reasoning to each. First, they determine if a valid conclusion can be reached from the 2 true statements using the Law of Detachment or the...
Alabama Learning Exchange
"Like Terms", I Add Them
Ninth graders add and subtract polynomials. In this Algebra I lesson plan, 9th graders work practice problems as they view a PowerPoint presentation of the lesson plan. Both the horizontal and vertical methods of addition and...
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Challenging Inequalities Group Work
In this inequalities activity, students collaborate in groups to solve eight multi-part challenging inequality problems. These problems are not designed to be finishes, but rather as a platform for group discussion regarding how to solve...
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Solving Square Root and Other Radical Equations
In this Algebra II learning exercise, 11th graders solve equations involving radical equations. The learning exercise provides an explanation and worked examples. The two page learning exercise contains three problems. Solutions are...
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Conjectures and Conclusions
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson plan, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
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Fraction Review
In this fractions worksheet, learners put fractions into their simplest form, write as improper fractions, add and subtract, estimate amounts, and more. They complete 31 problems.
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Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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Mathematical Properties for Addition
In this math worksheet, students read about and learn the properties of addition. Students study the commutative, associative, identity and inverse properties. There are no problems on this page for students to solve.
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Mixed Expressions and Complex Fractions
Students are introduced to mixed expressions and complex fractions. They work through several problems with the instructor and then complete a worksheet.
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N Equal Parts by Construction
Students experiment with straight edges and compasses to divide lengths into equal parts. They identify different fractions of the total length.
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It's a Party! Solving Multi-step Equations
Students explore the concept of multi-step equations. In the multi-step equation lesson, students solve equations by the 'party method'. Students make a flip book that shows the steps in solving multi-step equations.
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A Matter of Proportion
Students measure the relative heights of the mosaic giraffe and its trainer and compare their proportions to an actual giraffe and zoo trainer.
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