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Time Problems
High schoolers make sensible estimates and check for reasonable results. They also solve problems with positive and negative integers using practical activities or models as needed.
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Triangular Numbers
Young scholars are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
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Measuring the Earth (Eratoshenes' method)
Sixth graders engage in problem solving, communicating, reasoning, and connecting to represent and solve problems, using geometric models.
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The Secret of the Crystal Ball
Eighth graders use mathematical expressions to solve problems. In this basic properties of operations, 8th graders use prior knowledge and logical reasoning to solve equations. Students analyze an equation by solving a...
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Logic and Proof Writing
Students define inductive and deductive reasoning and write two column proofs. In this geometry lesson, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when completing proofs.
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Building Shapes From Numbers
Students experience how to illustrate some of the many connections between number and geometry. Through this 2-3 day focus on square numbers and triangular numbers, students make connections among mathematical topics.
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Patterns and Possibilitiies
Learners gain an understanding of the value and importance of patterns in mathematics. Through video, interaction and hands-on activities, students identify concrete and abstract patterns incorporating logic and deductive and inductive...
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Proof by Induction
Twelfth graders define and prove theorems using induction. In this calculus lesson, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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Preparation and Transition to Two-Column Proofs
Students investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
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The "Heart" of the Problem
Students explore mathematical operations while studying nutrition. In this physical fitness lesson plan, students explore calories, pulse rate, and the circulatory system. Students use mathematical data to create a healthy physical...
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Significant What?
Students define accuracy and precision, and differentiate between the two terms, apply the concepts of accuracy and precision to a given situation and correctly apply the concept of significant figures to measurement and mathematical...
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When Close Enough is Good Enough
Students describe the difference between an estimate and a guess. They create reasonable estimates based on observation and hands-on activities. They synthesize estimated based on interaction with online activities.
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Resistance in a Wire
Students find the constant of proportionality and apply it to a situation. They use the electrical resistance in a wire as a context for finding the constant of proportionality. In addition, they write an explanation and justification of...
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A Fishy Problem
Students survey the problems involved in finding a solution to a practical problem using a mathematical process. Students make sensible estimates and check the reasonableness of their answers. Students report the results of their...
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WINDMILL POWER
Students study operations with real numbers using mental computation or paper-and-pencil calculations. They judge the reasonableness of numerical computations and their results. They set up and solve proportions for direct and inverse...
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Traditional American Indian Lodges
Students explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size pyramid...
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Can You Carry a Tune in a Bucket?
Students use water filled pipes to play a tune and consider the mathematics behind the sound waves. In this sound wave lesson, students play a tune with water filled pipes. They create a mathematical model to evaluate the wavelengths and...
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A Prime Investigation wtih 7, 11, and 13
Ninth graders investigate divisibility rules. In this middle school mathematics/Algebra I activity, 9th graders explore the divisibility rules of 7, 11, and 13. Students examine certain six-digit numbers that are divisible by...
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Bouncing off the Wall
Students watch a video clips before problem solving the use of angles in real world situations. They problem solve using spatial reasoning while connecting math to a sports activity that investigates the path of a bouncing ball.
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The Truth About Triangles And Proofs
Young scholars engage in a activity that is about the classification of triangles and the mathematical proofs involved in working with them. They work on a variety of problems that are created by the teacher with the focus upon the...
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Manhole Covers
In this secondary mathematics worksheet, students determine the reason that manhole covers are round and not polygonal. The one page worksheet contains one problem with the solution.
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Four Color Map
Young scholars explore geometry by completing a color puzzle. In this shape identification lesson, students utilize deductive reasoning to complete a Google SketchUp puzzle with trapezoid, triangles and rectangular shapes. Young...
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Pac Man Chomps Again
Students are given the opportunity to pracitce math while participating in a tag game. They get to (i.e. identify greater and lesser numbers) and solve small problems concerning mathematical comparisons .
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Sew, You Want To Quilt?
Students become familiar with the achievements of the artist Faith Ringgold. They take notice of the patterns in their environment. They connect the mathematical concept of patterns to create a class quilt.
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