Interactive Resources and Lessons for Middle School Math Instruction (Grades 6-8)

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General Grade Level Sites With Many Resources:

AAA Math This page will take you to concepts for for each grade level by clicking on the bar labeled by grade level on the top. Customize it to meet you needs by clicking on the grade level links below AAA Math to make skills easier or more difficult.

BBC-Schools-Ages 11-16-Math Sites Math resources from BBC, in particular explore standard grade bitesize links.


Illuminations This site sponsored by NCTM has wonderful lessons, interactive sites, and more!

Internet4Classrooms-Grade Level Help Search by grade level on the left. Many links can be found here for skillbuilders be sure to look under the "current standards" to find many useful links.

Math.com This site provides some resources although it does have many commercial adds on it.

The Math Forum: Teacher's Place This site offers professional development, Ask Dr. Math:an online question and answer resource, and more.

National Library of Virtual Manipulatives Click on the link for grades 6-8 to find appropriate skills to practice.

PBS Teacher Resources-Grades 6-8 Check out these resources provide by public television for the classroom.

Shodor-Online Activities This is a popular set of interactive online materials for math and science education - for grades 3 through 12.

Thinkfinity This is a wonderful site with access to lesson plans, interactive learning experiences, Internet sites and more.

Data, Statistics, and Probability:

 About Our ClassIn the following grades 6-8 lesson, students participate in activities in which they focus on the uses of numbers. The activities explore how students use numbers in school and every day settings as a way for students and the teacher to get to know each other at the beginning of the school year

Analyzing Numeric and Geometric Patterns of Paper PoolPaper Pool is an application involving many of the concepts encountered throughout grades 6 and 7: factors, multiples, rectangles, the relation of being relatively prime. Before seeing how to apply these concepts, students must gather and organize data, then search for patterns.

Baseball Stats In this lesson grades 6-8, students will use baseball data available on the Internet to develop an understanding of the different ways in which data can be analyzed.

Comparing Properties of the Mean and the Median through the use of Technology Using interactive software(grades 6-8), students can compare and contrast properties of measures of central tendency, specifically the influence of changes in data values on the mean and median.

Exploring Linear Data Students(grades 6-12) model linear data in a variety of settings that range from car repair costs to sports to medicine. Students work to construct scatterplots,interpret data points and trends, and investigate the notion of line of best fit.

Graph Skills for Introductory Economics You can have your students (grades 6-8) take this test before beginning a unit on introductory economics. This test also could be used as part of a lesson where students need to use graphs—to help check for their understanding—or even as part of an assessment on graphing. History of PopulationsThe activities at this level (grades 6-8)focus on studying a series of circle graphs that report the population of the United States and of selected states–Massachusetts, New York, and Pennsylvania–in fifty-year intervals from 1800 to 1950.

Illuminations-Web Links-Data and Statistics An amazing page with links to many resources.

Income Levels and Social Class: is it all about cash? In this lesson (grades 5-8), from PBS, students analyze income levels and cost of living expenses and then relate them to social class. They work with graphs, percentages, and spreadsheets, and learn to reason from data. This lesson uses the PBS Web site "People Like Us."

Interpreting Population StatisticsThis lesson introduces students to such population statistics as birth, death, and literacy rates. Students will compare these indicators for several countries, graph the results, and hypothesize what their graphs reveal about the countries.

Life Expectancy This Figure This! activity challenges students to learn how to use a specified type of graph (in this case a line graph) to answer questions. Math Forum-Exploring date

Grades 5-8 This page provides links to lessons and websites provided by the Math Forum.

Mathematics as Communication This grades 6-8 activity focuses on interpreting and creating graphs that are functions of time.

National Library of Virtual Manipulatives-Data Analysis and Probability-Grades 6-8 Wonderful interactive experiences are provide through links on this page.

Planet Earth: Almost 6 Billion Served In this lesson (grades 6-8), students list what they think makes a country wealthy. The students analyze graphs to get a better understanding of how and why population statistics among developed and less-developed countries vary. The students discuss the indexes that are used in comparing the "wealth" of different countries. The students are able to conduct their own research on another highly-populated country, examining the country's political, social and economic influences on population. They demonstrate their data graphically.

The Price of Relief In this lesson(grades 6-8), students calculate and graph the costs of essential items needed in Kosovar refugee camps on an individual, family, and camp basis.

Shodor Interactives Click on the bar on the top to choose "Probability" or "Statistics" to find interactive resources.

What's in a Graph? To understand data tables and graphs in grades 6-8. To understand the guidelines for making tables and graphs. To interpret graphs and determine which graph is best suited for the data.

World Consumption: Unequal Pieces of the Pie In this lesson (grades 6-8) from the New York Times Learning Network, students learn how to interpret the United Nations Human Development Reports and understand the relevance and use of the human development index in offering insight into a nation and its challenges. Students then evaluate facts derived from the 1998 U.N. Human Development Report and create posters offering inferences about these facts and graphing the statistics provided.

Functions and Algebra

 Algebraic TransformationsIn this unit(grades 6-8), students create a shape sorter and consider all possible moves that will return a shape to its original position. They investigate the results when two of these moves are performed consecutively, to learn about the commutative and associative properties.

Functions and Equations This interactive website has three levels of difficulty.

Graphing Relationships Students work with this interactive site to solve equations and see what they look like on a graph.

Learning About Rate of Change in Linear Functions using an Interactive Graph In this two-part example, users can drag a slider on an interactive graph to modify a rate of change (cost per minute for phone use) and learn how modifications in that rate affect the linear graph displaying accumulation (the total cost of calls).

Magic SquaresThis lesson (grades 6-8) explores magic squares from both a historical and mathematical perspective. The mathematical analysis leads into symbolic algebraic representation of the patterns.

Math Forum-Algebra Problems and Puzzles Links on this page will take you to algebra activities.

Modeling Equations with Variables on Both SidesThis site offers an interactive exercise.

Movement with Functions These investigations use movement to reinforce the concepts of linear functions and systems of equations. Multiple representations are used throughout, along with tools such as motion detectors and remote-controlled cars. Students explore how position, speed, and varying motion are reflected in graphs, tables, and algebraic equations. National Library of Manipulatives-Algebra-Grades 6-8 Check out this page with lots of links to interactive experiences.

Relations and FunctionsThis is an interactive experience for students working with functions.

Solving Multi-Step Inequalities This site offers and interactive experience.

Shodor Interactives Click on "Algebra" on the top bar on this site to find interactive activities.

Slope This is an interactive site for students to work on slope.

Slope-Intercept FormStudents can work on slope and intercept on this interactive site.

Stem and Leaf PlotsThis is an interactive experience for students.

Geometry and Measurement

 

Apple PiUsing estimation and measurement skills(grades 6-8), students will determine the ratio of circumference to diameter and explore the meaning of π. Students will discover the circumference and area formulas based on their investigations.

Area of a Circle Check out this interactive way to work with area.

Areas of Geometric Figures Cylinders are inlcluded in this interactive experience.

Exploring Dilations This interactive mathematics resource allows the user to explore the concept of dilatations and develop an understanding of how scale factors enlarge or reduce the size of a figure.

Illuminations- Web Links- Geography This page provides an incredible list of resources.

Interactive Geometry Dictionary: Areas in Geometry The applets in this Interactive Geometry Dictionary (IGD) will show you how to find the area of some common shapes.

Learning about Length, Perimeter, Area, and Volume of Similar Objects Using Interactive Figures: Side Length and Area of Similar Figures This two-part example illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures.

Linking Length,Perimeter,Area, and VolumeThese lessons(grades 6-8) are designed for students to understand ratio, proportion, scale factor, and similarity using perimeter, area, volume and surface area of various rectangular shapes.

Math Forum-Middle School-Measuremnt Lessons and materials for middle school teachers on measurement. National Library of Virtual Manipulatives-Grades6-8-Geometry This is a page with links to many interactive experiences.

Measuring UpThis unit(grades 6-8)explores the concepts of proportional reasoning, ratio, and indirect measurement. Students engage in a variety of activities that involve taking their own measurements, exploring different ratios, and examining similar figures. Students convert measurements into customary and metric units. Students (grades 6-8) investigate properties of perimeter, area, and volume related to various geometric two- and three-dimensions shapes. They conjecture, test, discuss, verbalize, and generalize patterns.

Polygon Capture In this lesson, students classify polygons according to more than one property at a time. In the context of a game, students move from a simple description of shapes to an analysis of how properties are related. Shodor Interactives Click on "Geometry" on the bar on the top of the website to find interactive experiences.

Shops at the Mall Students participate in an activity in which they develop number sense in and around the shopping mall. They solve problems involving percent and scale drawings.

Sketching Solids Students will utize their knowlege of geometric figures in this interactive activity.

Solid Figures Students using this interactive site will use base diagonals and base triangles to identify figures.

Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Visualizing Transformations Rotations; translations, or slides; and reflections, or flips, are geometric transformations that change an object's position or orientation but not its shape or size. The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations.

Volume of Cylinders and Rectangular PrismsThis is an interactive experience working on volume.

Volume of a PrismStudents can use this interactive site to work on volume. Volumeof Solids Students will use thier knowledge of finding volume on this interactive website.

Numbers and Operations:

Description and Lesson Plan for the Base 10 Blocks Program This Website consists of a Java applet, where one can select any combination of three different block sizes (representing a unit, 10 units, and 100 units) and drag them into the working panel. Students can then move, rotate, break, and glue the blocks to explore base 10 place value. Clicking on the base-ten chart allows you to redefine the largest block to be the unit, opening up additional investigations of decimal numbers.

Exploring Laws of ExponentsThis interactive mathematics resource uses the scenario of a paleontological dig to allow the user to explore the laws of exponents.

Illuminations-Numbers and Operations A mind boggling page with an incredible list of links to many resources!

Java Flashcards Students can practice many operations on this site.

Math Interactives - Exploring Order of OperationsThis interactive mathematics resource allows the user to explore the order of operations (brackets, exponents, multiplication, division, addition and subtraction).

National Library of Virtual Manipulatives-Grades 6-8-Numbers and OperationsCheck out these resources for interactive ways to teach numbers and operations. Look at the link above the activity for parent/teacher for guidance

Order of Operations Bingo Instead of calling numbers to play Bingo (grades 6-8), you call (and write) expressions to be evaluated for the numbers on the Bingo cards. The operations in this lesson are addition, subtraction, multiplication, and division. None of the expressions contain exponents.

Patterning the Powers of TenThis interactive mathematics resource explores the meaning of positive and negative exponents. Students can complete patterns of base 10 exponents in different forms and then view the powers in a real world context.

Plus or Minus This is a good beginner and refresher activity. With this activity students are able to use their skills of adding and subtracting integers, using the order of operations.

Primary KryptoThe rules of Krypto are simple: Combine five number cards using the four arithmetic operations (+, –, ×, ÷) to arrive at a "target" number. This online version of Primary Krypto uses the numbers 1–10 only. This activity is for grades K-8. Shodor Interactives-Numbers and Operations This site is a wonderful place to check out interactive experiences.

Fractions

Math Forum-Middle School-Fractions Lessons and materials on fractions for middle school teachers.

Too Big Too Small In this lesson (grades 6-8), students develop number sense through a series of three hands-on activities. Students explore the following concepts: the magnitude of a million, fractions between 0 and 1, and the effect of decimal operations. Visual Fractions The Visual Fractions site helps students picture fractions and perform arithmetic operations on them. Users can progress through a sequence of exercises designed to help them learn about fractions and their properties.

Understanding Rational Numbers and ProportionsIn this lesson, students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving.

Signed Integers

Multiplying Integers Using VideotapeIn this lesson(grades 6-8), students experience beginning-algebra concepts through discussion, exploration, and videotaping. The concept of multiplication of integers is presented in a format which encourages understanding, not simply rote memorization of facts.

Using an Elevator to Evaluate Signed Number ExpressionsUsing the idea of an elevator moving up and down, students will be given a small set of rules to add and subtract signed integers(grades 6-12).

Square Roots

Exploring Square RootsThis interactive mathematics resource explores a set of perfect squares and their square roots, as well as estimates of the square roots of non-perfect squares.

Percentages

Grid and Percent It In this lesson, students use a 10 × 10 grid as a model for solving various types of percent problems. This model offers a means of representing the given information as well as suggesting different approaches for finding a solution.

Majority Vote Majority Vote is an interesting and somewhat challenging activity. Students are to determine if a motion will pass with the given percentages of boys and girls who voted yes. For students who do not fully understand how percentages work this is a good application for them.

 

Prime Numbers

The Factor GameThe Factor Game engages students(grades 6-8) in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.

Math Forum-Prime Factors This is a web page on prime numbers.