6th Grade Mathematics Skills
Prior Standards Implementation

(5th Grade) 6th Grade Mathematics Skills (7th Grade)

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Number and Operations 6.1.1 | 6.1.2 | 6.1.3 | 6.1.4 | 6.1.5 | 6.1.6 | 6.1.7 | 6.1.8 | 6.1.9 | 6.1.10 | 6.1.11
SPI's & Reporting Categories ( based on Tennessee Curriculum Standards )	Internet Resources
Identify the place value of a given digit. 6.1.1 N	Identifying Place Values - identify the place value of the digits & Finding Place Values - find the place value of a particular numeral within a number & Expanded Form of Numbers - write the numeral the expanded form represents & Place Value in Words and Numbers - type the correct numeral to represent the words & Specific Place - find the numeral in a specific place value & There Must Be Thousands - [ this link opens in a new window ] read, write and identify numerals to the hundred thousands ( Author - Sandi King ) What's Your Name? - [ this link opens in a new window ] know the value of numbers when written in standard form or expanded notation ( Author - Sandi King )
Solve one-step real-world problems involving whole numbers and decimals. 6.1.2 R	Arrange a Party - [ this link opens in a new window ] use problem solving steps to find and use the range of a set of data to plan a party ( Author - Kristy Rousseau ) Disaster Math - Six sets of math quizzes; Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math. Let's Do Lunch - [ this link opens in a new window ] use a menu to order lunches that meet various criteria ( Author - Sandi King ) Making Change at the Math Playground - calculate change back on a purchase then click and drag the change to the counter using the smallest number of bills or coins Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall Shopping at Troy's Toys - percent shopping Show Me The Money - [ this link opens in a new window ] add using columns ( Author - Sandi King ) Spy Guys Interactive - Decimals - Lesson 1 Spy Guys Interactive - Solving Problems with Decimals - Lesson 5 Spy Guys Interactive - Problem Solving Bank - Lesson 20 . (fifteen problems to solve, with suggested strategies given) Word Problem Practice - problems in addition, subtraction and more
Represent numbers using a variety of models and equivalent forms (i.e., whole numbers, mixed numbers, fractions, decimals, and percents). 6.1.3 N	Algebra Puzzle - Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column. That makes the puzzle easier to solve. Other times, you will have to look for relationships among the objects. Calculate percent - Discover relationships between fractions, percents, and decimals Equivalent Fractions and Decimals - decide which answer will balance the scale Finding a percent of a quantity - online quiz Fractions, Decimals or Percent - two are given, you supply the third Percents and Wholes - online quiz Percent Game - [ this link opens in a new window ] FunBrain site [ these are difficul t] Practice Solving Percent Problems - more percent practice Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math) Percent Problems - [ Caution: if the answer is a percent, the percent sign must be typed or the answer will be considered wrong. ] a one-player, or two-player Jeopardy-type game from Quia [ this link opens in a new window ] Shopping at Troy's Toys - percent shopping Solving Percent Problems Using a Pyramid Grid - [ this link opens in a new window ] an interactive lesson Spy Guys Interactive - Solving Problems with Decimals - Lesson 5 Spy Guys Interactive - Improper Fractions & Mixed Numbers - Lesson 2 Spy Guys Interactive - Percent - Lesson 4 Using percents - online quiz Using the Proportion Method to Solve Percent Problems - practice problems at the end What's Your Name? - [ this link opens in a new window ] know the value of numbers when written in standard form or expanded notation ( Author - Sandi King )
Connect whole numbers, mixed numbers, fractions, and decimals to locations on the number line. 6.1.4 N	Adding Fractions - with the same denominator & Adding Fractions - mixed denominators Adding Fractions - using circle graphs - Mixed numbers Multiply fractions - with circles,mixed number times a whole number Multiplying Rational Fractions - online quiz - (answers provided) Multiplying Fractions - [ this link opens in a new window ] Soccer Shootout - [ Caution: the answer must be reduced to be graded as correct. For example; 2/3 not 4/6 .] (FunBrain activity) Subtracting Fractions - with same denominator &
Compare and order whole numbers, fractions, decimals, and percents using the appropriate symbol (<, >, and =). 6.1.5 N	Comparing Exponential Expressions - select, <, >, or = Comparing Fractions Factsheets - seven factsheets are available Comparing Fractions Game - three levels are available Comparing Fractions Games - two games; Dolphin Racing, and Ordering Game Comparing Fractions Quiz - three levels are available Comparing Fractions Worksheets - four worksheets available Comparing Integers - Comparing integers with absolute values Comparing Numbers Factsheets - five sheets to print Comparing Numbers Quiz - three levels available Comparing Numbers Worksheet - three sheets to print Comparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two-digit decimal values. Evaluating Expressions - a four step lesson Evaluating Expressions - Get out your pencils and calculators and give these a try! Fraction Sorter - interactive site posted by Shodor Greater, Less Than, or the Same - Compare these decimals Ordering Decimal Numbers - click and drag the numbers to put them in order from least to greatest Ordering Decimal Numbers II - click and drag the numbers to put them in order from least to greatest Percent with a Calculator - after the lesson there are problems to work Put Numbers in Order Game - three levels are available sort 4, 6 or 8 numbers Put Whole Numbers in Order - Three or more numbers can be placed in order. A number may come before the other numbers or it may come between them or after them Spy Guys Interactive - Understanding Integers - Lesson 6 Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
Identify prime and composite numbers up to 50. 6.1.6 N	Composite and Prime numbers Number Cop - select Primes , click on Start then use the left and right arrows to move the police car to intercept only prime numbers Prime Numbers - Prime Number Sieve: "Remove all proper multiples of the next remaining number." Start with the number 2.When all proper multiples of all numbers in the first row are deleted, the table will contain only primes.
Apply order of operations when computing with whole numbers. 6.1.7 N	Algebra: Order of Operations - [ this link opens on a new page ] a quiz from Quia Calculations Using Order of Operations - AAA Math lesson and practice problems & Division and Order of Operations - matching game Evaluating Algebraic Expressions - from Regents Prep Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S. Exploring Order of Operations - [ game ] click on the operations in correct order Flintstone Example - four characters try to solve a problem, four more examples at the bottom of the page. Learning Activity: Order of Operations - interactive lesson Math Quiz Game: Jeopardy style - Jeopardy style PowerPoint review game Order of Operations - Math Goodies from Ms. Glosser Order of Operations - a matching grid pattern game Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Order of Operations - a 16 slide PowerPoint show with practice problems Order of Operations: What to Do First - a 25 slide PowerPoint show Order of Operations Game - Drag the numbers and the operation signs on the wood board to complete the equality Order of Operations Game - from MathFrog Order of Operations Pretest - ten multiple choice questions Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems Order of Operations Tutorial - work through several examples Order of Operations with Exponents - Math Goodies from Ms. Glosser Order of operations game from Funbrain.com [this link opens on a new page] ( easier levels are available) Order of Operations Online Worksheet - ten problems, answers available Practice with Order of Operations - ten practice problems [ answers available ] Practice with Order of Operations - Get out your pencils and calculators and give these a try!
Use estimation to select a reasonable answer to a computation involving whole numbers, fractions, and/or decimals. 6.1.8 N	Comparison Estimator - Similar to Estimator but compares two sets of objects. Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math. Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz & Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz & Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz & Estimation Strategies - several strategies are discussed Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance) Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?" How Big are Things - a printable cube to be used in making size estimations [several versions] How to Simplify a Number - part of being approximate is simplifying numbers Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative. More or Less Estimator - Similar to Estimator activity but states a quantity and asks the user to estimate whether the set of objects is more or less than the number given. Pinocchio estimation game - suggested game for developing the skill of estimation Round About - [ this link opens in a new window ] estimate by rounding. ( Author - Sandi King ) Rounding Off - Three levels are available in this game from BBC Education Scaling the Universe to Your Desktop - estimating size Spy Guys Interactive - Rounding Numbers - Lesson 9 Weigh the Wangdoodles - Your job is to find the weight of each Wangdoodle using the information provided by the scales. To be successful, you will have to make sure that the weight you assign to each Wangdoodle works on each scale. This activity is a fun but challenging introduction to multiple algebraic equations. Word problems - online quiz adding and subtracting fractions Your Body as a Ruler - a user's manual
Compute efficiently and accurately with whole numbers, fractions, and decimals. 6.1.9 N	Count the Goodies - This multiplication activity from Harcourt School’s Mighty Math Calculating Crew asks you to multiply using regrouping. Three problems at a time are presented. Decifractator - convert fractions to decimal equivalents EZ Fractions - Add, Subtract, Multiply and Divide fractions - Help tools are on the site to give students every tool necessary for performing operations with fractions as easy as it has ever been! Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative. Making Change at the Math Playground - calculate change back on a purchase then click and drag the change to the counter using the smallest number of bills or coins Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall Math Baseball - Complete the Number Sentence - (Fun Brain) [ these links open in new window s] - All Operations - Numbers less than 100 | All Operations - Numbers less than 1000 | Division - Numbers less than 100 | Division - Numbers less than 1000 | Division - Numbers less than 10,000 | Multiplication - Numbers less than 1000 | Multiplication - Numbers less than 10,000 Math Facts -Timed math facts, or select practice mode without the timer Math Mayhem - A fast paced program where student can select addition problems. (most are two digit problems) - warning: turn sound to mute; this activity gets very loud! Mental Math - Select an operation to practice your skills Mixed Review - Addition and subtraction of three numbers - find answer to reveal mystery picture ( warning: very difficult, will need pencil and paper) Space Racer (Asteroids) - to aovid asteroids you must solve multiplication problems; move left by solving the left-side problem or move righrt by solving the right-side problem Timed Facts - at end of 60 seconds shows the score and answers to problems Decimals Adding with decimals - Addition of numbers with three decimal digits Complete the number sentence - [ this link opens in a new window ] all operations with decimals Decimal addition - Push the green blocks into the holes to make the target number. Dividing Decimals - [ this link opens in a new window ] Complete the number sentence Division of Decimals - [ this link opens in a new window ] Divide with 2 decimals Division of Decimals - [ this link opens in a new window ] Divide with 3 decimals Multiplying and Dividing with Decimals - online quiz Multiplying with decimals - [ this link opens in a new window ] Multiplying numbers with two decimals Rounding off - Round numbers to significant decimal places - (interactive game) Subtracting with decimals - Subtraction with three decimal digits Fractions Divide fractions - (using circles) this will show graphically how the divisor will fit into the dividend a whole number of times Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations. Equivalent Fractions - find the fraction that is equivalent to the fraction given Fractional Distances - find Grampy by entering a fractional distance - (includes mixed numbers and various fractions) Fraction Practice - [ this link opens in a new window ] All operations, mixed practice - (explanations given for wrong answers) Multiplying and Dividing Fractions - online quiz Unstated Information in Fraction Problems - use the information provided to find the unstated information Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions
Connect ratios to a variety of models, real-world situations, and symbolic representations. 6.1.10 N	All About Ratios - a Quiz All About Ratios - links to several lessons by Cynthia Lanius All About Ratios : (Problem Solving) - A famous Texas chef has a secret recipe for her chili. When people ask her for it, she hands them a card with the complete recipe except for 1 detail. For the missing detail, she gives them a clue. Use ratios to discover the missing ingredient. Comparing Ratios and Rates - online quiz Determine the number based on the ratio - instruction and review, practice, and a quiz & Determining the Ratio - instruction and review, practice, and a quiz & Figure This: Math Challenge for Families - proportional reasoning Interpreting and Applying Proportions - online quiz Learning ratios and proportions through scale drawings - a text only lesson plan Math for Morons Like Us - a ThinkQuest entry on ratio Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems You Tube video of the same lesson - Instructor: Ms. Jenkins Percentages and Proportions - online quiz Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math) - instruction and review, practice, and a quiz & Percent with a Calculator - after the lesson there are problems to work Practice with Ratios - online quiz Proportion Practice Test - thirteen multiple choice questions Proportions and Ratios - good explanation of means and extremes from Free Math Rags to Riches: Ratio and Proportion Quiz - [ this link opens on a new page ] quiz at Quia Rates, Ratios, and Proportions - [ this link opens on a new page ] a two person quiz from Quia Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems Ratio & Proportion - math review practice exercises Ratio & Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.) Ratio and Proportion - explanation and examples Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems Ratio and Proportion Quiz - play this game to practice writing ratios Ratio Exercises: Dolls : Camera] | Same ratio -- Fish : Atom | Different ratio -- Spider : Lizard | Different ratio -- Dots : Stars | 2 Dolls for every 1 Camera | 3 Atoms for every 2 Fish | [How Many Spiders do You Have? | Which Way Gives More Pizza? Ratio Proportion Calculator - Enter the known and unknown values from your proportion problem. In classic algebraic format, place an x in the box where the value is unknown. Then select Calculate and click on it. Ratios - a six page module from Purple Math Ratios and Proportions - explanation with four sample problems Ratios and Proportions - an interactive lesson in a slide show format Ratios and Proportions - an 18 slide PowerPoint show Ratios and Proportion Review - a 12 slide PowerPoint show Review of Proportion - examples and practice problems Review of Ratios - examples and practice problems Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet Spy Guys Interactive - Ratio - Lesson 3 Teaching Ratios and Proportions - suggestion for teachers and parents Using Proportions - online quiz
Select a reasonable solution to a real-world division problem in which the remainder must be considered. 6.1.11 N	Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
National Library of Virtual Manipulatives	Number & Operations (Grades 6 - 8)
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Algebra 6.2.1 | 6.2.2 | 6.2.3 | 6.2.4 | 6.2.5 | 6.2.6 | 6.2.7
Extend geometric and numerical patterns. 6.2.1 AT	Create your own pattern - Drag shapes to create a pattern. Instructions on how to use this page in your classroom. Number Cracker - guess what number comes next in the pattern Select the shape that comes next - a worksheet to print Spy Guys Interactive - Summarizing/Extending Patterns - Lesson 8 What Comes Next - customizable worksheet source
Generalize patterns in data represented in tables. 6.2.2 AT	Million Dollar Mission - a mathematics fantasy
Apply function rules. 6.2.3 AT	Ambleweb Function Machine - identify what process was used to produce a sequence of numbers (twelve processes available) Function Machine - investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Linear function - move your cursor to the green block to select step 1 Linear function and Graph - move your cursor over the green block to see lesson 1 or lesson 2 Linear Function Machine - investigate linear functions by trying to guess the slope and intercept from inputs and outputs. Positive Linear Function Machine - investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs.
Find missing addends or factors represented as variables in simple equations. 6.2.4 AT	Greatest Common Factor - select from three possible answers Factors - select the answer that is not a factor of the displayed number Spy Guys Interactive - Balancing Equations - Lesson 11 Spy Guys Interactive - Factors, Multiples, and Prime Factorization - Lesson 7 Using Number Patterns, Fractions, and Ratios - [this link opens on a new page] use a Quia quiz to practice greatest common factor, simplify fractions, least common multiple, and divisibility rules [ Who Wants to be a Millionaire format ]
Extend rate charts to solve real-world word problems. 6.2.5 R	Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David.
Select an equation that represents a given mathematical relationship. 6.2.6 AT	Is That A Fact? - [ this link opens in a new window ] select the appropriate operation for solving a problem ( Author - Randy Russell ) Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
Evaluate algebraic expressions for a given value of the variable. 6.2.7 AT	Algebraic Reasoning Using Weighing Scales - Learn how to think algebraically with these clever weighing scales. Levels 1 and 2 contain two scales. Level 3 is more difficult and has three scales. Your goal is to determine the weight of one or more of the objects.
National Library of Virtual Manipulatives	Algebra (Grades 6 - 8)
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Geometry 6.3.1 | 6.3.2 | 6.3.3 | 6.3.4 | 6.3.5 | 6.3.6 | 6.3.7 | 6.3.8
Identify parallel, perpendicular, and intersecting lines. 6.3.1
Use ordered pairs to describe given points in Quadrant 1 of a coordinate system. 6.3.2 AT	Billy Bug - Guide Billy to the coordinates hiding the food. coordinates 0-10 | coordinates 0-5 Create a Haunted House...if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math. Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems Graphing Applet - interactive site which identifies the ordered pairs of points students click on - Advanced version of the same applet Graphing Equations and Inequalities Unit Quiz Graphing Ordered Pairs - explanation and interactive practice Graphing Skills - [ this link opens in a new window ] What's the point? find the point on the grid (choose Easy for Quadrant 1 problems) Grid Graph - [ this link opens in a new window ] identify and plot points on a grid (Author - Paulette Boggs ) Reading a Grid - Find Hurkle behind the grid. Type ordered pairs to find him Simple Coordinates Game - Students investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. Simple Maze Game - Students investigate the first Quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. Spy Guys Interactive - Using Ordered Pairs - Lesson 18 What's the Point? - [ this link opens on a new page ] Find the x-y point on a grid Worksheet Generator - Print your own blank coordinate plane worksheets, you determine the number of grids on a sheet and whether the grids are numbered or not. Advanced (all 4 Quadrants used) Catch the Fly - [ all 4 quadrants are used] Use the keyboard to enter the x and y values of an ordered pair to help the fly catch a bug. No score is kept, each question is essentially a one question game. Coordinate Plane Practice - [ all four quadrants are displayed on each slide ] students type ordered pairs in the blocks on this interactive PowerPoint show General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. ( all 4 quadrants utilized ) Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines. ( all 4 quadrants utilized ) Stock the Shelves - [ this link opens on a new page ] You are the clerk. Stock the shelves using a special coordinate plane.
Classify two-dimensional geometric figures using properties. 6.3.3 G	Identify Polygons - Names of polygons by number of sides and angles Identify Shapes - Recognize properties and names of shapes Name that Polygon - Identify name of given polygon components Pete's Polygons - [ this link opens in a new window ] learn about closed figures called polygons ( Author - Paulette Boggs ) Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want Sam's Similar Shapes - [ this link opens in a new window ] learn about shapes that are different sizes but the same shape ( Author - Paulette Boggs ) Triangle Identification - identify the triangle given its angles Triangle Identification - identify the triangle given its number of sides
Identify the results of transformations of two-dimensional figures (e.g., slides/translations, flips/reflections, and turns/rotations). 6.3.4 G	Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded. Flip, Slide, or Turn - six flash movies allow you to watch the path an object takes while it is being transformed Flips, Slides, and Turns - a manipulative which allows you to view the effect of applying reflection, translation, and rotation transformations Mathematical Movements (Flips, Slides and Turns) - [ designed for 3rd grade ] a 25 page lesson with printables Measuring Turns - what would shapes look like if rotated Motion in Geometry - a 127 slide PowerPoint show Slides, Flips, and Turns - lesson plan with links to four printables Spy Guys Interactive - Slides and Flips - Lesson 17 Transformations - a Flash movie which demonstrates flips, slides, and turns Transformations - [ designed for 7th grade ] a 21 slide PowerPoint show produced by Holt, Rinehart and Winston Translations - a seven stage lesson on flips, slides and turns Wrapping Paper Patterns - [ this link opens in a new window ] decide which figures would result from a flip, a slide, or a turn ( Author - Paulette Boggs )
Use spatial reasoning to identify the three-dimensional figure created from a two-dimensional representation of that figure (i.e., cube, rectangular prism, pyramid, cone, or cylinder). 6.3.5 G	3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views. Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures) Coloring 3-D sides - [ UK spelling on this site ] Find the red sides shown in a series of 2-D drawings and click on the right face of the 3-D model to color it red. 20 questions Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded. Guess the View - Students are given a 3-D view of an object, and then given a 2-D view of the object. Students must choose which of 6 views is being displayed from a list. Plot Plans and Silhouettes - from Shape and Space in Geometry - the student task is to come up with plot plans that could match the given silhouettes. Background information is available at another page . Rotating Houses - Students are presented with a 3-D figure created with blocks that can be rotated and flipped using a mouse. The figure must be rotated until it matches a 2-D representation of one of the views.
Classify angles as acute, obtuse, right, and straight. 6.3.6 G	Acute One Or An Obtuse One? - [ grades 5-8 ] six page worksheet to print and use in class Angle Classification: Acute, Right, Obtuse - explanation and questions to answer Angles - Students practice their knowledge of acute, obtuse and alternate angles. Angles - Interactive game to help recognize angles. Angles - a twenty slide PowerPoint show with a quiz to be used as a whole class activity Basic Geometric Figures - a TAKS worksheet to print and use in class Classifying Angles - quiz Geometry Building Blocks: Classifying Angles - explanation and drawings Examples to go with the lesson above Quiz to follow the lesson How Do We Measure Angles? - six page worksheet to print and use in class Measuring Angles - use a virtual protractor Names of Angles - definition and drawings of each type Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor Right, Acute, and Obtuse Angles - sort angles into appropriate containers Right, Acute, and Obtuse Angles - figures are shown, decide which is the proper angle Teacher Tube Videos - links to nine videos on angles Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid. Triangles Side-By-Side - [ this link opens in a new window ] use geometric vocabulary to describe properties of triangles ( Author - Carolyn Garner ) Types of Angles - definitions, and drawings of each type Spy Guys Interactive - Working with Angles - Lesson 16
Classify quadrilaterals using their defining properties. 6.3.7 G	Construction of Bicentric Quadrilateral - a mathematical droodle Interactive Quadrilateral - drag the dots Java Sketchpad to Explore Shapes Isosceles Trapezoid Parallelogram Rectangle Rhombus Practice With Quadrilaterals - a twelve question quiz with drawings Quad Squad - [ this link opens on a new page ] a quick lesson on classifying and describing quadrilaterals Quadrilateral Family - from regents prep Quadrilateral Matching - concentration style quiz Quadrilateral Quest - interactive lesson, drag and drop activity Quadrilateral Sorter - click on a shape to find out about it Quadrilaterals - a sixteen slide PowerPoint show Quadrilaterals - a twenty slide PowerPoint show Quadrilaterals - a twenty-six slide PowerPoint show produced by Holt, Rinehart and Winston Quadrilaterals II - a twenty-eight slide PowerPoint show Quadrilaterals Explained - from Math is Fun Quadrilaterals Quiz - six multiple choice questions Quadrilaterals - explanation, examples and questions to answer Quadrilaterals - a wikipedia entry with a large number of drawings Shapes: Quadrilaterals - explanation and questions to show understanding What's My Quadrilateral - three different teaching ideas
Determine the distance between two points on the x- or the y- axis in Quadrant I. 6.3.8 ME
National Library of Virtual Manipulatives	Geometry (Grades 6,7,8)
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Measurement 6.4.1 | 6.4.2 | 6.4.3 | 6.4.4 | 6.4.5 | 6.4.6 | 6.4.7 | 6.4.9
Use strategies to estimate perimeter and area of rectangles. 6.4.1 ME	Perimeter Explorer - Students are shown shapes on a grid after setting the area and asked to calculate perimeters of the shapes. Perimeter of a Square - Calculate the perimeter of a square with given dimensions. & Perimeter of a Rectangle - Calculate the perimeter of a rectangle with given dimensions. & Spy Guys Interactive - Area and Perimeter - Lesson 12 Spy Guys Interactive - Relating Area and Perimeter - Lesson 13
Solve real-world problems involving elapsed time. 6.4.2 R	Bedtime Bandits - (students try to stay up as late as possible by blasting killer clocks that drop from the ceiling) After each stage, identifying the correct clock gets harder and harder. Eventually, students have to blast the clock that is “4 hours and 15 minutes past 2:30 ”, for example. Clockworks - Try to set the time on the clock. (select the challenge level) Elapsed Time - free worksheets from Math Slice, time intervals from 1 hour to one minute
Convert from one unit to another within the same system (metric and customary). 6.4.3 ME	Measure it - [ this link opens in a new window ] practice using a ruler [inches and centimeters] Measurement Equivalents - Match game with standard equivalent measurements, such as pounds, ounces, pints, cups, etc. Practice converting from one metric unit to another with this java applet (length, area, volume, mass, or time units ) Teaching Measures - Choose from three modules; length, mass, and capacity. Each category offers several activities for your large screen display as well as supporting worksheets.
Select units of appropriate size and type to measure angles, perimeter, area, capacity, volume, and weight. 6.4.4 ME	Alien Angles - estimate angles, without a protractor, ranging from 1-180 by dragging a movable line Banana Hunt - This game helps students practice the degrees of an angle Measuring Angles - Investigating angles and the use of a protractor Spy Guys Interactive - Volume and Displacement - Lesson 15 Weight and Capacity - this video lesson explains weight and capacity and the units to measure each, and then gives your students the chance to show understanding on several quizzes. ( somewhat elementary )
Apply formulas to determine the area of rectangles and triangles. 6.4.5 ME	Area Explorer - Students are shown shapes on a grid after setting the perimeter and asked to calculate areas of the shapes. Area of an Irregular Rectangle - calculate the area of each figure given The Pythagorean Theorem - online quiz Pythagorean Explorer - find the length of a side of a right triangle by using the Pythagorean Theorem, and then check answers Shape Explorer - calculate areas and perimeters of the shapes Squaring the Triangle - learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
Use scales to read maps. 6.4.6 R	Index of topics and quizzes offered by David J. Leveson at CUNY in Brooklyn, NY Latitude and Longitude quiz - online quiz that checks answers Map Reading Activities - practice reading maps using compasses, latitude, longitude and more Mathematics of Cartography - several map activity from Cynthia Lanius National Atlas of the United States [ this link opens in a new window ] Reading Map Symbols - identify symbols with words
Solve real-world problems involving perimeter and area of rectangles. 6.4.7 R	JuniorArchitects - develop strategies for finding the perimeter and area for rectangles and triangles using geoboards and graph paper Shape Surveyor - [ this link opens in a new window ] you never know what you'll find if you dig geometry
Solve problems involving ratio and proportion. 6.4.9 ME	All About Ratios - a Quiz All About Ratios : (Problem Solving) - A famous Texas chef has a secret recipe for her chili. When people ask her for it, she hands them a card with the complete recipe except for 1 detail. For the missing detail, she gives them a clue. Use ratios to discover the missing ingredient. All About Ratios - a Quiz All About Ratios - links to several lessons by Cynthia Lanius All About Ratios : (Problem Solving) - A famous Texas chef has a secret recipe for her chili. When people ask her for it, she hands them a card with the complete recipe except for 1 detail. For the missing detail, she gives them a clue. Use ratios to discover the missing ingredient. Comparing Ratios and Rates - online quiz Determine the number based on the ratio - instruction and review, practice, and a quiz & Determining the Ratio - instruction and review, practice, and a quiz & Figure This: Math Challenge for Families - proportional reasoning Interpreting and Applying Proportions - online quiz Learning ratios and proportions through scale drawings - a text only lesson plan Math for Morons Like Us - a ThinkQuest entry on ratio Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems You Tube video of the same lesson - Instructor: Ms. Jenkins Percentages and Proportions - online quiz Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math) - instruction and review, practice, and a quiz & Percent with a Calculator - after the lesson there are problems to work Practice with Ratios - online quiz Proportion Practice Test - thirteen multiple choice questions Proportions and Ratios - good explanation of means and extremes from Free Math Rags to Riches: Ratio and Proportion Quiz - [ this link opens on a new page ] quiz at Quia Rates, Ratios, and Proportions - [ this link opens on a new page ] a two person quiz from Quia Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems Ratio & Proportion - math review practice exercises Ratio & Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.) Ratio and Proportion - explanation and examples Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems Ratio and Proportion Quiz - play this game to practice writing ratios Ratio Exercises : Dolls : Camera] | Same ratio -- Fish : Atom | Different ratio -- Spider : Lizard | Different ratio -- Dots : Stars | 2 Dolls for every 1 Camera | 3 Atoms for every 2 Fish | [How Many Spiders do You Have? | Which Way Gives More Pizza Ratio Proportion Calculator - Enter the known and unknown values from your proportion problem. In classic algebraic format, place an x in the box where the value is unknown. Then select Calculate and click on it. Ratios - a six page module from Purple Math Ratios and Proportions - explanation with four sample problems Ratios and Proportions - an interactive lesson in a slide show format Ratios and Proportions - an 18 slide PowerPoint show Ratios and Proportion Review - a 12 slide PowerPoint show Review of Proportion - examples and practice problems Review of Ratios - examples and practice problems Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet Spy Guys Interactive - Ratio - Lesson 3 Teaching Ratios and Proportions - suggestion for teachers and parents Using Proportions - online quiz
National Library of Virtual Manipulatives	Measurement (Grades 6,7,8)
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Data Analysis and Probability 6.5.1 | 6.5.2 | 6.5.4 | 6.5.5 | 6.5.6 | 6.5.7 | 6.5.8 | 6.5.9
Determine the mean of a data set. & Determine the mode of a data set. 6.5.1 DP	All That Data - [ this link opens in a new window ] use range, mean, median, and mode ( Author - Kristy Rousseau ) All That Data Two - [ this link opens in a new window ] describe graphs in terms of range, measures of central tendency, and distribution ( Author - Kristy Rousseau ) An Overview of Mean, Median, and Mode Basketball Debate - [ this link opens in a new window ] explore the meaning of average (or mean) and relate these concepts to real world experiences ( Author - Michael Naylor ) Bicycles Ala Mode - [ this link opens in a new window ] understand and apply the concepts of mean, median and mode ( Author - Michael Naylor ) Jupiter Is Average - [ this link opens in a new window ] Using data from our solar system, students explore median, mode, mean, and range. Students learn to use an on-line calculator to determine the mean and range. ( Author - Sandi King ) Mean Green Machine - [ this link opens in a new window ] use a calculator to find and use the average, or mean, of a set of data ( Author - Kristy Rousseau ) (designed for 5th grade) Mode, Mean, Median - calculate mode, median and mode of a set of buildings, then repeat the activity with a different set - (metric measurements) Quiz following the Mode, Mean, Median activity Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate Medians - [ this link opens in a new window ] understand and apply the concepts of median and mean ( Author - Michael Naylor ) Party Comedian - [ this link opens in a new window ] find and use the median of a set of data ( Author - Kristy Rousseau ) Party Mode - [ this link opens in a new window ] find and use the mode of a set of data ( Author - Kristy Rousseau )
Interpret bar and line graphs to answer questions and solve real-world problems. 6.5.2 R	Bar Graphs - from Statistics Canada Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem Heads I Win - [ this link opens in a new window ] predict the likelihood of tossing heads or tails and graphs the results of coin tosses ( Author - Michaél Dunnivant ) The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change. Interpreting Column Graphs - students practice by answering ten questions about the graph Interpreting Data - survey a small group by clicking on each of the children, turn the tally marks into two types of graphs and then go back and take a different survey Interpreting Data Quiz - after you finish the lesson above, take this quiz Interpreting Line Graphs - [ this link opens in a new window ] explore line graphs. ( Author - Michael Naylor ) Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs. There is a worksheet associated with the data sets Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10 What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
Determine the median from a stem-and-leaf-plot. 6.5.4 DP	Lesson designed to introduce students to stem-and-leaf plots Let the Games Begin : Olympic Trials in Data Analysis Long Distance Airplanes - a stem-and-leaf plot lesson from Iluminations (rated 3rd-5th grade, but quite useful) Make a Stem-and-Leaf plot of the data you enter into the text area (ignore the warning about Internet Explorer, it works fine). Organizing Data in a Stem and Leaf Plot - a lesson plan from Annenberg CPB Making a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page. Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page. Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page. Overview of Mean, Median, and Mode Overview of stem-and-leaf plot - a display that organizes data to show its shape and distribution Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments Stem and Leaf Plotter - an interactive applet that allow students to input data Stem-and-Leaf plots - from Purple Math Worksheet to accompany a "Stem-and-Leaf Plots" Lesson
Determine if a sample is biased. 6.5.5 DP	Biased Sample - also known as: Biased Statistics, Loaded Sample, Prejudiced Statistics, Prejudiced Sample, Loaded Statistics, Biased Induction, Biased Generalization (3 good examples at the bottom of the page) Avoiding a Biased Sample - a section from an article on designing a survey
Represent the likelihood of an event using a number from 0-1. 6.5.6 DP	Analyzing game probabilities - online quiz Lions and Tigers - [ this link opens in a new window ] predict the likelihood of a simple event (rolling a die) as a fraction ( Author - Michaél Dunnivant ) The Random Ball-Picking Machine - experiment with a random generator at a BBC site to collect data to make decisions about probability. After you finish working through the ball-picking activity, take a ten-question quiz Spy Guys Interactive - Probability - Lesson 19 Understanding Experimental Probability - Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes.
Connect data sets and their graphical representations (i.e., bar graphs, circle graphs, and stem-and-leaf-plots). 6.5.7 DP	Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values Circle Graph - Enter data categories and the value of each category to create a circle graph (similar to "Pie Chart" but the user can define the data set) Collecting and Analyzing Data - online quiz Data Picking - students collect data, enter tally marks or numbers and then select which graph is appropriate Graphing Skills - [ this link opens in a new window ] What's the point? find the point on the grid Interpreting Circle (Pie) Graphs - students practice by answering eight questions about the graph Interpreting Data - online quiz Pie Chart - Students view pie charts (parameters: number of sectors, size of sector as a percent) Piece Of Pie - [ this link opens in a new window ] display data using a circle graph ( Author - Sandi King ) Push Ups - [ this link opens in a new window ] collect data to put on a line graph ( Author - Sandi King ) Using Graphs to Understand Data - online quiz
Make conjectures and predictions based on data (e.g., in a chart, table, or graph). 6.5.8 AT	Adjustable Spinner - Students can create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials. Bean Pi - To involve students in a small group exploration of the concept of area for circles, and to involve students in data collection. Comparative Bar Graphs - read the graph and answer questions Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David. Hand Squeeze - (a data collection and analysis class experiment) - Pass a "hand squeeze" around a circle and measure the amount of time that it takes for the hand squeeze to complete the circle. Interpreting a Data Chart - students practice by answering questions about what can be found in a grid chart Marbles - learn about sampling with and without replacement by modeling drawing marbles from a bag - [ Parameters: Number and color of marbles in the bag, replacement rule ] Pin The Tail - [ this link opens in a new window ] use probability to predict and conduct experiments to test predictions. ( Author - Michaél Dunnivant ) Practice with Data - answer questions pertaining to collecting and organizing data Probability - online quiz Quantitative Environmental Learning Project - a rich source of data based projects Spinner - Students can create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials. Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials. Vehicle Stopping Distance And Time - use data to reach conclusions - use their Vehicle Stopping Distance Calculator to do actual model calculations What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment The Winning Edge: Probability in Basketball - Time has run out in the big basketball game, and the score is tied. However, Up-State College has the ball with time out. You're the coach. Which players should you put into the game to give you the best chance of winning? (students collect data and make prediction based on the data)
Use a tree diagram or organized list to determine all possible outcomes of a simple compound event. 6.5.9 DP	Leap Frog - [ this link opens in a new window ] design an experiment to answer a question, collect information, and interpret the results using charts ( Author - Michaél Dunnivant ) Me Too Probability - [ this link opens in a new window ] use a tree diagram to display possible outcomes of who will come to the party ( Author - Michaél Dunnivant ) On Stage Probability - [ this link opens in a new window ] use tree diagrams to display the possible outcomes of casting a play ( Author - Michaél Dunnivant ) What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome. Who Will Probably? - [ this link opens in a new window ] use problem-solving steps and a tree diagram to display possible outcomes and make predictions ( Author - Michaél Dunnivant )
Virtual Manipulatives	Data Analysis & Probability (Grades 6 - 8) Virtual Dice - four styles available; single, double, triple, or +/- dice

Review Help
Practice Tests!	Brainchild - twenty-four questions, followed by practice on any incorrect responses Chapter Tests - Glencoe Math Houghton Mifflin Mathematics Test Prep Practice Self Check Quizzes - Glencoe Math
Released Tests & others	FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips Sixth Grade Math - Read each question and choose the best answer. Then mark the circle next to the letter for the answer you have chosen. ( from Texas ) Texas end-of-year Math test 2003 Texas end-of-year Math test 2004
Various Review Aids	Geometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life. Math Olympics - Answer 20 multiple choice questions correctly to win the Math Olympics. Topics range from basic computation and general math knowledge to word problems with percentages, ratios, and fractions. Math TV: Video Word Problems - [ Grades 5+ ] Math TV is a project whose goal is to help middle school students learn how to solve challenging word problems. Each of the nineteen math problems comes with step by step video solution, follow up problems, an online calculator, and sketch pad. Solve It! - Math Videos provide problem solving practice for students in grades 3 to 6. Each of the thirteen sets contain five multistep word problems with step by step video solutions. Concepts include basic operations, algebraic reasoning, money, fractions, percent, perimeter, area, proportional reasoning, and measurement.

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