Curated OER
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.
Curated OER
Modular Arithmetic
Students investigate modular arithmetic and how to use it to solve real world problems. For this modular arithmetic lesson, students use computers to work on modular arithmetic after a teacher guided lesson. They complete guided practice...
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Introduction to Fractals: Geometric Fractals
Learners explore the concept of fractals. For this fractals lesson, students discuss Sierpinski's Triangle using an applet. Learners discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
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Clock Arithmetic and Cryptography
High schoolers investigate modular clock arithmetic and cryptography. They perform basic operations in modular (clock) arithmetic and encode and decode messages using simple shift and affine ciphers.
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Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
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Exploring Arrangements of 2, 3, 4, and 5 Cubes
Learners use problem solving skills to create various models of tricubes, tetracubes, and pentacubes. They classify the cubes into various groupings and identify them as mirror images, regular arrangements, and irregular arrangements....
Curated OER
Clock Arithmetic and Cryptography
Students explore the concept of modular arithmetic and cryptography. In this modular arithmetic and cryptography lesson, students use applets to explore modular arithmetic using a clock and Caesar Ciphers. Students exchange their ciphers...
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Pascal's Triangle
Middle schoolers 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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The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. For this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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Blindfolded Building
Students build a Lego design and then work with a partner to reproduce that design. They guide the building of the reproduction by description only and then check their work.
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Geometry and Measurement
Middle schoolers view a right triangle displayed by the teacher. Students measure legs and the interior angles of the triangle. They look for a pattern or relationship between the legs and angles. Middle schoolers use pegboards and...
Pennsylvania Department of Education
Extending Pattern Understandings
Students use shapes and manipulatives to demonstrate patterns. For this patterns lesson plan, students also break up patterns to identify a pattern unit.
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Students use fundamental counting principle to compute combinations and permutations
Students define Pascal's triangle and special notations used to represent nth elements. For this geometry lesson, students solve problems using permutations and combinations. They compare the formula for permutation to that of Pascal's...
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Problem Solving Using Pattern Blocks
Students use pattern blocks to create a figure that is described to them and establish a pattern based on the description of the geometric figure. In this pattern blocks lesson plan, students fill out shape and fraction worksheets.
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Shape Detectives
Students become "shape detectives" as they identify, name, create and describe common shapes within pictures and objects found within the learning environment. Suggestions include incorporating shapes into all learning areas and daily...
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Roll It! Creating an Entrance Ramp
Pupils explore the concept of triangles. In this triangles lesson, students are to propose a plan for a ramp at their school. Pupils use the Pythagorean Theorem and trigonometry to determine the length, height, and angle of the ramp. ...
Curated OER
Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
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Incredible Edible Bridges
Students create a bridge using engineering and geometric concepts. In this geometry lesson, students identify the missing measures of polygons sides and angles. They work together to solve real life situation using problem solving skills.
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Linear Inequalities
Ninth graders explore solving linear inequalities. They discuss vocabulary words and symbols associated with linear inequalities. After a demonstration by the teacher, 9th graders solve and graph inequalities. Students complete a...
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Visual Patterns in Tessellations
Young scholars explore tessellations as well as various types of polygon. Students examine tessellating patterns in the world around them. Young scholars examine tessellations by creating their own tessellations and completing the...
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Investigating and Using Biomass Gases
Students examine the definitions of biomas gasification and generate their own biomass gas. In this renewable energy lesson students collect gases and roast a marshmallow.
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Problem Solving Using Power Polygons
Students investigate geometric shapes by creating figures on a plane. For 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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Worksheet 31 - Spring 1996
In this math worksheet, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.
Curated OER
Phase Diagrams
In this phase diagram worksheet, students use a phase diagram to determine the critical point, phase boundaries, and phase transitions. This worksheet has 20 problems to solve.