Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Young scholars 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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Conjectures and Conclusions
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson, 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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Graphing Linear Inequalities
Eighth graders extend skills for representing and solving linear equations to linear inequalities. Lesson activities build understanding and skill by plotting ordered pairs of numbers that either satisfy or do not satisfy a given...
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Describing Patterns
Fourth graders investigate repeating and growing patterns. Models, graphs and words are used to describe, extend and represent patterns. Students use evidence from models and graphs to support the identification of patterns.
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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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Pascal's Triangle
Students study Pascal's triangle. They construct their own version of Pascal's triangle, and relate some of the uses for it. While working through this process, students practice their integer multiplication and division skills.
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
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Discovering the Linear Relationship between Celsius and Fahrenheit
Students discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
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Circle Relationships
Students explore circles. In this geometry instructional activity, students explore the relationship between the circumference of a circle, the distance a ball travels, and the number of rotations the ball must make in order to...
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Venn Diagram
Students classify items and numbers by using a Venn diagram. In this Venn diagram lesson plan, students use the computer to do this and classify pictures and numbers.
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Box Plots
Students review the concept of median, explore how to calculate quartiles for any size data set and experience how to build a box plot.
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Making Good Investments
Students compare different aspects of investing money from traditional savings accounts to money market accounts. They research investment accounts at local banks and compare them.
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Super Sort
Students sort objects based on one characteristic. They define the term "attribute" and give examples of attributes of objects. Students explain their reasoning for sorting objects into groups.
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Patterns in Pascal's Triangle
Pupils examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
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Finding Patterns in Fractals
Students discover patterns and sequences. They use a website to explore patterns and fractals. Students share their discovery of fractals and their patterns with the class. They develop a list of patterns used in everyday life.
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Marshland Wonders
Students review the characteristics of wetlands and list their benefits. After viewing short videos, they identify the organims that make their home in wetlands and how they have adapted. They compare and contrast the characteristics...
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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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My Peanut Butter is Better Than Yours!
Students explore the concept of statistical data. In this statistical data lesson, students read an article about the dangers of peanut butter to those who are allergic. Students perform a taste test of two different brands of peanut...
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Diameter, Radius and Area
Students calculate the diameter, radius and area of a circle. In this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.
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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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Gummy vs. Gum
Students explore numbers patterns and write equations to describe the pattern. They apply the equations to further the patterns.
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Shh...It's a Secret!
Students explore codes, decode secret messages, and create codes of their own to use with their friends. They examine the use of gestures, letters, symbols and numbers in codes.
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Multiplication: Building Models, Representations and Explanations
First graders explore multiplication concepts through skip counting, repeated addition and arrays. Using animal characteristics as a context, 1st graders solve problems using mathematical tools such as hundreds charts, number lines, ...