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Probability Of One Event
Middle schoolers investigate the concept of probability. They use example problems in order to measure the likelihood of various outcomes. The instructional activity includes dialogue to be used by the teacher during direct instruction....
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Build Your Own Anemomter
Students investigate how to measure the speed of wind. They do this by building their own anemometers. Students calculate the air speeds while using their own projects and make observations. They conduct a mathematical discussion after...
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Geometry: Lesson 10
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
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Equations and Systems of Equations
Pupils practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.
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Function Tables
Students practice representing problems found in the real world in terms that can be translated into mathematical expressions. The situations are represented in tables and graphs by students.
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Real-World Linear Equations
Eighth graders practice technology skills through the use of a spreadsheet and a discovery instructional activity focusing upon linear equations. The technology allows for the visual changes to be displayed for different lines of equations.
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Place Value
Second graders use physical models to represent and demonstrate place value concepts by using base-ten blocks and hundreds charts. They compare numbers to see which number is smaller or larger and put numbers in order from smallest to...
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Applying Prime Factorization
Sixth graders use the prime factorization of numbers to find the greatest common factor and least common multiple. Working in small groups, they solve problems using the greatest common factor and least common multiple.
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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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Number Subsets: Winning the Number Game
Eighth graders review their understanding about numbers and number systems through playing the Number Game. They create a list of numbers and based upon the characteristics and properties of the numbers they will earn points.
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Commutative Property
First graders investigate the Commutative Property of Addition. It is introduced using models such as students, counters, balances and dominoes. They discover the order of the numbers in an addition sentence does not change the result...
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Direct and Inverse Variation
Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine...
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Graphs Galore
Fourth graders conduct surveys to collect data. They analyze and interpret the data, then determine which type of graph is appropriate for the data. Students use the data to make predictions, discover patterns and draw conclusions...
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What's Your Symbol?
Sixth graders investigate how colors, objects and geometric shapes have been used symbolically in art during specific time periods. They use this information to create symbolic artwork and write a descriptive/informational piece...
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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, ...
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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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Buying and Financing the Car of Your Dreams
Eighth graders go to one of a number of web sites (provided by the teacher in a hotlist) to find a car they would like to buy if they were old enough. They would then be provided with the necessary information to compute monthly payments...
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Models for Dividing Fractions
Sixth graders represent division of fractions using manipulatives, such as freezer pops, candy bars, and models such as drawings squares. They develop an algorithm from these examples and solve problems using fractions.
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Fraction Models
Third graders make models of fractions and mixed numbers. Using fraction strips and drawing pictures, 3rd graders develop conceptual understanding of the equivalent forms. Students use the number line to represent and compare...
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Drawing Lines of Symmetry
Third graders explore the concept of symmetry using geometric shapes, capital letters and various other shapes. They fold shapes to show symmetry, draw lines of symmetry and create symmetrical designs.
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Customary Measurement Conversions
Fifth graders discover in hands-on activities the relationships between the measures. They work in groups to create conversion tables using familiar measuring tools. Students solve problems requiring conversions.
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Choosing the Best Graph
Eighth graders produce and examine two sets of data and create what they believe to be the most appropriate graphs to represent these sets of data. After completing the pre-assessment, they discuss reasons for using each type of graph...
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Factors and Multiples
Sixth graders need to see the relevance in the mathematics they learn. This lesson builds on the concepts of least common multiple and greatest common factor. The lesson presents real-world problem situations for students to solve.