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Tennessee Mathematics Standards
2009-2010 Implementation
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Internet Resources |
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Make and test conjectures about geometric properties and develop logical arguments to justify conclusions.
0506.1.1 |
- Exploring Properties of Rectangles and Parallelograms Using Dynamic Software - an environment in which students can explore geometric relationships and make and test conjectures

- Geometric Solids - an interactive tool which allows students to learn about various geometric solids and their properties

- Geometric Solids and Their Properties - students explore geometric solids and
their properties in these five interactive geometry investigations
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Make reasonable estimates of fraction and decimal sums or differences using models.
0506.1.2 |
- Estimate Fractional Distance - watch Grammy carefully and estimate the fractional distance that represents where she jumped over the hedge

- Fraction Segment Strips - In this lesson, you use a linear model, represented by segment strips. These are long, narrow strips of paper, which are subdivided into congruent segment lengths; they serve as a means for comparing fractions, given a relative unit, and as a model for combining various fractions.
- Modeling Decimals and Fractions - more on using segment strips
- Solving Decimal Word Problems - ten examples and five practice problems

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Explore different methods of estimation including rounding and truncating.
0506.1.3 |
- Estimation Valley Golf - estimate the distance to the hole using number computation.

- Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz
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- Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz
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- Half Court Rounding - " Round the number at the bottom of the page. Then, click enter. If you are correct, your character will make the basket. If you are wrong, he will miss. Try to get the highest score possible in 90 seconds."
- Let's Go Shopping - [this link opens on a new page] estimate by rounding to the nearest dollar as they shop (Author - Sandi King)

- 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.
- Pinocchio estimation game - suggested game for developing the skill of estimation

- Round About - [this link opens on a new page] estimate by rounding (Author - Sandi King)

- Rounding Off - Three levels are available in this game from BBC Education

- Spy Guys Interactive - Rounding Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 9
- That's Right - [this link opens on a new page] estimate measurements in real-world problems using money (Author - Kaye Maddox)

- 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.
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Explore problems in different contexts to interpret the meaning of remainders as discrete values or not.
0506.1.4 |
- 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.
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Solve problems in more than one way and explain why one process may be more effective than another.
0506.1.5 |
- 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.
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Communicate answers in correct verbal and numerical form; including use of mixed numbers or fractions and use of units.
0506.1.6 |
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Organize and consolidate verbal statements involving fractions and mixed numbers into diagrams, symbols, and numerical expressions.
0506.1.7 |
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Use patterns, models, and relationships as contexts for writing inequalities and simple equations.
0506.1.8 |
- Activities at Illuminations - Illuminations has 100 online activities available. Select which types of activities you’re looking for, and click Search.
- Base 10 Blocks - virtual manipulative

- Electronic Examples - index of manipulatives from NCTM
- GeoBoard - this two-part example describes activities that use interactive geoboards

- Integer Bars - learning fractions and more with on-line manipulatives

- Math Playground - a small but growing collection of manipulatives for teaching and learning

- National Library of Virtual Manipulatives - select topic and grade level to find appropriate manipulatives
- Pattern Blocks Program - use tools to solve a variety of problems

- Tangrams - interactive geometric site

- Virtual Manipulatives - a list of various manipulatives for grades 1-6
- Wolfram Demonstrations Project - a free resource of interactive visualizations from elementary education to the frontiers of research
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Use age-appropriate books, stories, and videos to convey ideas of mathematics.
0506.1.9 |
- Brian P. Cleary - author of books conveying math ideas - Mission of Addition, The, Action of Subtraction, The, How Long or How Wide?: A Measuring Guide
- Children's Picture Book Database at Miami University - type in math or numbers in the search box.
- Flatland: A romance of many dimensions - fifty-five pages if printed
- Literature for Learning Math Concepts - using books to teach math
- Note of Caution: the books below are not available to read online, they are given as a reading list only
- Fiction about Math - a 3 page reading list in MS Word format

- Math Month in the Library - article about books to consider
- Math Novels - use this list of novels as a reading list rather than a shopping list
- Math and Science Related Books - a reading list from Math Forum
- Mathematical Fiction - large database of titles
- Mathematics fiction books - Wikipedia index to articles about 19 books
- Mathematics in Fiction - a reading list of novels in which mathematics play a large role
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Given a series of geometric statements, draw a conclusion about the figure described.
SPI 0506.1.1 |
- Constructing Geometric Figures - Using graph paper, students will construct figures according to given specifications. [4 page document including answers ]

- Solve Word Problems Involving Geometric Figures - a step by step process including examples [5 page document]

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Estimate fraction and decimal sums or differences.
SPI 0506.1.2 |
- Estimate Fractional Distance - watch Grammy carefully and estimate the fractional distance that represents where she jumped over the hedge

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Recognize the unit associated with the remainder in a division problem or the meaning of the fractional part of a whole given in either decimal or fraction form.
SPI 0506.1.3 |
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Identify missing information and/or too much information in contextual problems.
SPI 0506.1.4 |
- Bus Fare Problem - Ask Dr. Math gives a possible solution to a challenging problem
- Too Much Information - [this link opens on a new page] work through several problems deciding if all given information is needed

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Number & Operations 
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Identify prime numbers up to 50.
0506.2.1
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- 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.

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Use the prime factorization of two whole numbers to determine the greatest common factor and the least common multiple.
0506.2.2 |
- Prime Factorization - interactive practice (multiple choice quiz)

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Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.
0506.2.3 |
- Adding Fractions - Find a common denominator and add the fractions.

- Adding Fractions - with the same denominator [instruction followed by practice]

- Adding Fractions - using circle graphs - Mixed numbers

- Adding Fractions - mixed denominators

- Adding or Subtracting Fractions, Same Denominators - in Fishy Fractions click on
, or , then click on Begin Game. When the sign up screen comes up click to begin the game.
- Adding or Subtracting Fractions, Unlike Denominators - in Fishy Fractions click on
, or , then click on Begin Game. When the sign up screen comes up click to begin the game.
- Converting Fractions, Decimals, and Percents - from Fact Monster
- Death To Decimals - Click up at the top for detailed instructions for how to play. Match fractions with decimal form of the number.

- Decifractator - convert fractions to decimal equivalents

- Equivalent Fractions - find the fraction that is equivalent to the fraction given
- Equivalent Fractions and Decimals - decide which answer will balance the scale
- 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!

- Finding a percent of a quantity - online quiz

- Fraction Decimal Conversion - a Quia quiz

- Fraction Decimal Conversion - another Quia matching quiz
- Fraction Decimal Conversion - a Quia concentration style quiz

- Fractions, Decimals or Percent - two are given, you supply the third
- Fraction Generator - Generate your own online interactive worksheet with your own specifications!

- Fraction Segment Strips - In this lesson, you use a linear model, represented by segment strips. These are long, narrow strips of paper, which are subdivided into congruent segment lengths; they serve as a means for comparing fractions, given a relative unit, and as a model for combining various fractions.
- Modeling Decimals and Fractions - more on using segment strips
- Fractional Distances - Find Grampy by entering a fractional distance. (includes mixed numbers and various fractions)

- Fractions, Decimals or Percent - two are given, you supply the third
- Fraction Practice - All operations, mixed practice - (explanations given for wrong answers)

Fraction Worksheet Generator - [this link opens on a new page] create random fraction worksheets for practice 
- Get a Visual on What a Fraction is - type in a fraction into the boxes and this page will show you what your fraction means using the picture of a pie

- Ice Cream Shop - Convert improper fractions to mixed fractions

- Identify the Gems for Each Store and Ship the Order - determine which gems are equivalent to the ones wanted by each store and then ship the order (check to see if you were right)
- Maggies Farm - keep up with how many apples are sold and how much money was made
- Match Fractions and Decimals - this quiz is in the form of a concentration game
- Old Egyptian Math Cats Fractions - Add fractions like a true Old Egyptian Math Cat!

- Practice problems - online quiz adding and subtracting fractions

- Percent Fraction Matching - a Quia quiz

- Practice Converting Percent to Fractions - instruction and review, practice, and a quiz
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- Rename Fractions in Lowest Terms - practice in renaming fractions

- Shade - Shade the figure to match the equivalent fraction.

- Shopping at Troy's Toys - percent shopping
- Spy Guys Interactive - Decimals - Click Skip Intro, then select Lessons, and then click on Lesson 1
- Spy Guys Interactive - Solving Problems with Decimals - Click Skip Intro, then select Lessons, and then click on Lesson 5
- Subtracting Fractions - with same denominator (explanation followed by practice)

- Tony's Pizza - create a pizza with toppings equivalent to the fractions

- Visual Fractions - Review on identifying, renaming, comparing, addition and subtraction. (quizzes follow lessons)

Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions 
- Writing Fractions as Percent - five practice problems are at the end of the lesson

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Use divisibility rules to factor numbers.
0506.2.4 |
- Divisibility Rules - tell whether a number is divisible by another number (leaving no remainder) without actually doing the division
- Division Tips - explaining why the rules work
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Make reasonable estimates of fraction and decimal sums and differences.
0506.2.5 |
- Computation and Estimation - use common fractions, decimals, and benchmarks in a game context to estimate the sum of chosen fractions and determine if the sum is closer to 0, 1, or 2 [5 page document includes game cards]

- Estimate Fractional Distance - watch Grammy carefully and estimate the fractional distance that represents where she jumped over the hedge

- Fraction Game - an applet which allows students to practice working with relationships among fractions and ways of combining fractions
- Two-Person version of the game
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Add and subtract mixed numbers.
0506.2.6 |
- Fraction Bars - interactive site; can program it to fit your needs.

- Ice Cream Shop - Convert improper fractions to mixed fractions

- Improper Fractions - in Fishy Fractions click on
, then click on Begin Game. When the sign up screen comes up click to begin the game.
- Mixed Numbers - [this link opens on a new page] identify and define mixed number parts (Author - Joseph Howell) [somewhat elementary, but reinforces the concept clearly]

- Mixed Numbers - in Fishy Fractions click on
or then click on Begin Game. When the sign up screen comes up click to begin the game.
- Spy Guys Interactive - Improper Fractions & Mixed Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 2
- Tony's Fraction Pizza Shop - great interactive game on fractions

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Understand the placement of the decimal point in calculations of multiplication and long division, including the placement in the estimation of the answer.
0506.2.7 |
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Understand that division by zero is undefined.
0506.2.8 |
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Explore numbers less than 0 by extending the number line through familiar applications (e.g., temperatures below zero, owing money, measuring elevation below sea level).
0506.2.9 |
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Use exponential notation to represent repeated multiplication of whole numbers.
0506.2.10 |
- Calculating with Scientirfic Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page
- Converting Numbers to Scientific Notation - AAA Math lesson and practice problems
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- Converting Standard Numbers to Scientific Notation - instruction and review, practice, and a quiz
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- Converting from Scientific Notation to Standard Numbers - instruction and review, practice, and a quiz
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- Comparing Scientific and Standard Notation Numbers - instruction and review, practice, and a quiz
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- Converting Decimal Numbers to Scientific Notation - instruction and review, practice, and a quiz
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- Converting from Scientific Notation to Decimal Numbers - instruction and review, practice, and a quiz
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- Converting Fractions to Scientific Notation - instruction and review, practice, and a quiz
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- Cube of a Number - AAA Math lesson and practice problems
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- Division Using Scientific Notation - - two examples and seven practice problems

- Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems
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- Exponential Expressions - find the exponential expression that is equivalent to the number given
- Exponent Practice - 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.

- Exponents - Unit 3 from Ms. Glosser's Math Goodies
- Interactive Algebra Review on Integer Exponents

- Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems

- Multiplication in Scientific Notation - four examples and seven practice problems

- Practice with Scientific Notation - Pencil and paper may be needed - (answers provided)
- Scientific Notation - explanation from New York University's MathMol page
- Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros.
- Scientific Notation - interactive practice
- Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer".
- Scientific Notation Quiz - ten multiple choice questions

- Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box.

- Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
- What Is Scientific Notation And How Is It Used? - explanation and several practice problems, answers given on another page
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Read and write numbers from millions to millionths in various contexts.
SPI 0506.2.1 |
- Cross Numbers - [numbers up to six or nine digits] numbers are spelled out as crossword clues, fill in the digits [advanced - up to twelve digits]
- Read and Recognize Numbers - [this link opens in a new window] Select format (spelling numeral or writing the digits) and select top value to give students practice in writing and reading numbers.

- Really Big Numbers - Enter a number then click the Click here button to see how to write it. Use numbers appropriate to this SPI.

- 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)

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Write the prime factorization of numbers through 50 using both exponential and standard notation.
SPI 0506.2.2 |
- Spy Guys Interactive - Factors, Multiples, and Prime Factorization - Click Skip Intro, then select Lessons, and then click on Lesson 7

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Select a reasonable solution to a real-world division problem in which the remainder must be considered.
SPI 0506.2.3 |
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Solve problems involving the division of two- and three-digit whole numbers by one- and two-digit whole numbers.
SPI 0506.2.4 |
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Solve addition and subtraction problems involving both fractions and decimals.
SPI 0506.2.5 |
- Addition of Decimals - explanation followed by practice

- Count the Money - You're given a target amount and the number of coins you already have. You must determine how many more coins of a certain type are needed to reach the target.
- Decimal Darts - [game for one or two players] an invisible number line is superimposed on a dart board, students calculate the location of a balloon and then throw a dart

- Decimal Squares Blackjack - cards containing decimals are displayed, students decide whether to ask for more cards until they get as close to 2.0 without going over
- Decimal Speedway - [game for one or two players] the number line is in the form of a race track, students must multiply decimals and then locate the correct point on the track (number line)
- Decimal Squares Interactive Games - add, subtract and multiply decimals in a multitude of games.

- Draggable Decimals - add, subtract, multiply decimals. Personalize problems with this game, selecting number of decimals to include.

- Let's Do Lunch - [this link opens on a new page] use a menu to order lunches that meet various criteria (Author - Sandi King)

- Railroad Repair - [decimal addition] students must repair gaps in the railroad tracks by adding decimal lengths of track - each section gets harder
- Show Me The Money - [this link opens on a new page] add using columns (Author - Sandi King)

- Subtraction of Decimals - What is the difference between the two decimals? explanation followed by practice

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Add and subtract proper and improper fractions as well as mixed numbers.
SPI 0506.2.6 |
- Fraction Bars - interactive site; can program it to fit your needs.

- Ice Cream Shop - Convert improper fractions to mixed fractions

- Improper Fractions - in Fishy Fractions click on
, then click on Begin Game. When the sign up screen comes up click to begin the game.
- Mixed Numbers - [this link opens on a new page] identify and define mixed number parts (Author - Joseph Howell) [somewhat elementary, but reinforces the concept clearly]

- Mixed Numbers - in Fishy Fractions click on
or then click on Begin Game. When the sign up screen comes up click to begin the game.
- Spy Guys Interactive - Improper Fractions & Mixed Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 2
- Tony's Fraction Pizza Shop - great interactive game on fractions

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Recognize equivalent representations for the same number.
SPI 0506.2.7 |
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Write terminating decimals in the form of fractions or mixed numbers.
SPI 0506.2.8 |
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Compare whole numbers, decimals and fractions using the symbols <, >, and =.
SPI 0506.2.9 |
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National Library of Virtual Manipulatives |
- Number & Operations [Grades 3-5]

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Algebra 
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Evaluate an expression by substituting non-negative rational number values for letter variables in the expression.
0506.3.1 |
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Use variables appropriately to represent numbers whose values are not yet known.
0506.3.2 |
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Solve single-step linear equations using inverse operations.
0506.3.3 |
- Function Machine - Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs.

- Graphing Linear Equations - an Internet project
- Linear Equation Solvers - Practice Linear Equations! Improves your test scores!
- Linear Equation Solver from Algebra.com

- Linear Equation Solver - a pop-up window allows users to specify the number of equations

- 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 - Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs.

- Positive Linear Function Machine - Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs.

- Solving addition and subtraction equations - 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.

- Solving Linear Equations
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Solve single-step linear inequalities and graph solutions on a number line.
0506.3.4 |
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Determine if a given value is a solution to a linear equation/inequality.
0506.3.5 |
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Recognize there are many numbers between any two whole numbers on the number line.
0506.3.6 |
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Evaluate algebraic expressions involving decimals and fractions using order of operations.
SPI 0506.3.1
Evaluate multi-step numerical expressions involving fractions using order of operations.
SPI 0506.3.2 |
- 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
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- 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 - a 13 slide PowerPoint show which makes good use of animation
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!

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Find the unknown in single-step equations involving fractions and mixed numbers.
SPI 0506.3.3 |
- Fraction Bars - interactive site; can program it to fit your needs.

- Improper Fractions - in Fishy Fractions click on
, then click on Begin Game. When the sign up screen comes up click to begin the game.
- Mixed Numbers - [this link opens on a new page] identify and define mixed number parts (Author - Joseph Howell) [somewhat elementary, but reinforces the concept clearly]

- Mixed Numbers - in Fishy Fractions click on
or then click on Begin Game. When the sign up screen comes up click to begin the game.
- Spy Guys Interactive - Improper Fractions & Mixed Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 2
- Tony's Fraction Pizza Shop - great interactive game on fractions

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Given a set of values, identify those that make an inequality a true statement.
SPI 0506.3.4 |
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National Library of Virtual Manipulatives |
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Algebra [Grades 3-5] 
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Checks for Understanding (Formative/Summative Assessment) |
Develop the formula for the area of a triangle as it relates to the area of a
parallelogram/rectangle.
0506.4.1 |
- Areas and Squares - online quiz

- Area of an Irregular Rectangle - calculate the area of each figure given
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Find the area of a convex polygon by decomposing it into triangles/rectangles.
0506.4.2 |
- Creating Polygons - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)

- Identify Polygons - names of polygons by number of sides and angles - instruction and review, practice, and a quiz
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- Name that Polygon - identify name of given polygon components - instruction and review, practice, and a quiz
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- Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want

- Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)

- Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz
& 
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Build, draw, and work with prisms by means of orthogonal views, projective views, and nets.
0506.4.3 |
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Describe and identify the five regular (Platonic) solids and their properties with respect to faces, shapes of faces, edges, and vertices.
0506.4.4 |
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Quantify total volume as filling space with same-sized units of volume without gaps or overlap.
0506.4.5 |
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Decompose prisms to calculate surface area and volume.
0506.4.6 |
- Surface Area of Prisms - how to find the surface area and volume of prisms
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Understand, select and use units of appropriate size and type to measure angles, lengths/distances, area, surface area and volume.
0506.4.7 |
- A Dictionary of Units - This provides a summary of most of the units of measurement to be found in use around the world today (and a few of historical interest), together with the appropriate conversion factors needed to change them into a 'standard' unit of the SI.
- Animal Weigh-In - Do you know your kilograms from your pounds? Interactive game
- Interactive Units Converter - [this link opens on a new page] Here you will find interactive calculators for many measurement systems both commonly used like metric and U.S. Avoirdupois and quite exotic like Ancient Greek and Roman.
- Measure converter - Full Conversion Table (sorted by Measure Unit Name)

- Measure4measure - a collection of interactive sites on the web that estimate, calculate, evaluate, translate etc. In other words, they do the work for you.
- Measure it - [this link opens on a new page] 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)

- Unit of Measure - an encyclopedia article from Encarta
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Identify characteristics of the set of points that define vertical and horizontal line segments.
0506.4.8 |
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Correctly interpret significant digits in the accuracy of measurements and associated calculations.
0506.4.9 |
- Calculating with Signirficant Digits - a quiz with ten multiple choice questions

- Chem Team Table of Contents - several links to significant figure information
- Drill Regarding Significant Figures - When you hit "New Number", a number will appear in the left cell. Enter the number of significant figures in the right cell and press "Check Answer".

- Indicating Precision of Measurements - significant figures rules and two java applets for practice

- Math Skills Review: Significant Figures - includes an illustration explaining percision and accuracy
- Rounding and Significant Figures - from Purple Math
- Significant Digits - an interactive site to allow practice on identifying the number of significant digits in a displayed number. A student gets immediate feedback regarding the correctness of their answer, however there are no clues given if a student is wrong.

- Significant Digits - rules and example problems at the bottom just below the "two greatest sins"
- Significant Digits Counter -
- Significant Digits or Figures - a tutorial from Science Help: Online Chemistry plus a large number of links to quizzes and worksheets at the bottom of the page

- Signifricant Digits Quiz - twenty short answer questions

- Significant Digits Quiz - ten multiple choice questions

- Significant Figures - Scientific notation is the most reliable way of expressing a number to a given number of significant figures. In scientific notation, the power of ten is insignificant.
- Significant Figures - four topics
- Significant Figures - the Wikipedia article on this topic
- Significant Figures Calculator - Enter the number that you wish to have formatted with significant figures and
the calculator will display the formatted version in the box to the left.
- Significant Figures (Digits) - a selection of answers from the Dr. Math archives
- Significant Figures Fable - illustrating the importance of significant figures
- Significant Figures Quiz - five multiple choice questions

- Valid Digits in a Measurement - good discussion of the reason for using significant digits including recommendations regarding calculators
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Recognize that measurements are never exact.
0506.4.10 |
- Estimate Fractional Distance - watch Grammy carefully and estimate the fractional distance that represents where she jumped over the hedge

- Indicating Precision of Measurements - significant figures rules and two java applets for practice

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Understand the usefulness of approximations.
0506.4.11 |
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Develop strategies for choosing correct tools of measurement.
0506.4.12 |
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Recognize and use measures of weight and temperature.
0506.4.13 |
- Platform Scales Addition - weigh several items and find the sum in hundredths of a gram

- Platform Scales Subtraction - weigh several items and find the difference in hundredths of a gram

- Using a Platform Scale - practice using scales like the one in a doctor's office,
five Gregs will drop on the scale, waiting to be weighed, see how quickly you can weigh them

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Solve contextual problems that require calculating the area of triangles and
parallelograms.
SPI 0506.4.1 |
- Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)

- Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz
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Decompose irregular shapes to find perimeter and area.
SPI 0506.4.2 |
- Area Explorer - Students are shown shapes on a grid after setting the perimeter and asked to calculate areas of the shapes.

- Calculate the Perimeter of the Rectangle - [this link opens on a new page] from FunBrain

- Lesson on Perimeter of Polygons
& 
- Perimeter Explorer - Students are shown shapes on a grid after setting the area and asked to calculate perimeters of the shapes.
- Perimeter of a Rectangle - Calculate the perimeter of a rectangle with given dimensions - instruction and review, practice, and a quiz
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- Perimeter of a Square - Calculate the perimeter of a square with given dimensions - instruction and review, practice, and a quiz
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- Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor

- Shape Explorer - Students are shown shapes on a grid and asked to calculate areas and perimeters of the shapes.
- Using Spreadsheets to Find Area and Perimeter - The cells of a spreadsheet are a useful way to represent area and perimeter.

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Identify a three-dimensional object from two-dimensional representations of that object and vice versa.
SPI 0506.4.3 |
- 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.
- Point Out the View - a ten level activity from PBS Kids, students must show what 2-D view each of four viewers would see when looking at a stack of blocks
- 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.
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Solve problems involving surface area and volume of rectangular prisms and polyhedral solids.
SPI 0506.4.4 |
- Surface Areas and Volume - interactive applet

- Surface Area and Volume - drawings and equations for many geometric shapes
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Find the length of vertical or horizontal line segments in the first quadrant of the
coordinate system, including problems that require the use of fractions and decimals.
SPI 0506.4.5 |
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Record measurements in context to reasonable degree of accuracy using decimals and/or fractions.
SPI 0506.4.6 |
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National Library of Virtual Manipulatives |
- Geometry [Grades 3-5]
- Measurement [Grades 3-5]

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Data Analysis, Statistics, & Probability 
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Construct and analyze double bar and line graphs.
0506.5.1 |
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Represent data using ordered pairs in the first quadrant of the coordinate system.
0506.5.2 |
- Billy Bug - Guide Billy to the coordinates hiding the food. coordinates 0-10 | coordinates 0-5

- Graphing Skills - [this link opens on a new page] What's the point? find the point on the grid (choose Easy for Quadrant 1 problems)

- Grid Graph - [this link opens on a new page] identify and plot points on a grid (Author - Paulette Boggs)
- Reading Grids - find Hurkle in an intersection of a grid

- 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.

- Stock the Shelves - [this link opens on a new page] You are the clerk. Stock the shelves using a special coordinate plane. [all 4 quadrants used in this game]
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)
- 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)

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Design investigations to address a question and consider how data collection methods affect the nature of the data set.
0506.5.3 |
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Recognize the differences in representing categorical and numerical data.
0506.5.4 |
- Interpreting a Data Chart - students practice by answering questions about what can be found in a grid chart
- 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
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Evaluate how different measures of central tendency describe data.
0506.5.5 |
- All That Data - [this link opens on a new page] use range, mean, median, and mode (Author - Kristy Rousseau)

- All That Data Two - [this link opens on a new page] describe graphs in terms of range, measures of central tendency, and distribution (Author - Kristy Rousseau)

- Central Tendency Generator - Create your own online worksheet with your specifications as to mean, mode, and median.

- Jupiter Is Average - [this link opens on a new page] 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 on a new page] use a calculator to find and use the average, or mean, of a set of data (Author - Kristy Rousseau)

- Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate

- Medians - [this link opens on a new page] understand and apply the concepts of median and mean (Author - Michael Naylor)

- 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

- Landmark Chart Numbers - Range, mean, median, and mode
- Party Comedian - [this link opens on a new page] find and use the median of a set of data (Author - Kristy Rousseau)

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Identify outliers and determine their effect on mean, median, mode and range.
0506.5.6 |
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Depict data using various representations, including decimal and/or fractional data.
SPI 0506.5.1
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Make predictions based on various data representations, including double bar and line graphs.
SPI 0506.5.2 |
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Calculate measures of central tendency to analyze data.
SPI 0506.5.3 |
- Introduction to Central Tendency - explanation and saveral good illustrations
- Investigate Mean, Mode and Median with Manipulatives - lesson plan

- Mean Median and Mode - practice exercises
- Measures of Central Tendency - explanation and four good examples
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National Library of Virtual Manipulatives |
- Data Analysis & Probability [Grades 3 - 5]
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