## 7th Grade Number & Operations Skills

Prior Standards Implementation

## The standards listed below have been replaced by a newer set of standards.

## Please go to Current 7th Grade Math Standards for current resources.

## Number and Operations

Identify prime and composite numbers up to 50.

7.1.1

N

- Composite and Prime numbers instruction and review, practice, and a quiz &
- 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.
Compute efficiently and accurately with whole numbers, fractions, and decimals.

7.1.2

N

- Math Baseball - Complete the Number Sentence. - All Operations - Numbers less than 10,000
- Math Baseball - Complete the Number Sentence. - Division - Numbers less than 10,000
- Math Baseball - Complete the Number Sentence. - 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 you can select addition problems. Most are two digit problems.( Warning: turn sound to mute - this activity gets very loud!)
- Math Mastery - Select subtraction and practice your facts!
- Mental Math - Select an operation to practice your skills
- What number would complete this sentence? - what number would complete the equation? - instruction and review, practice, and a quiz &
- Word problems - adding and subtracting fractions
- Fractions

- Converting Fractions, Decimals, and Percents - from Fact Monster
- 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
- 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!
- Fraction Practice - All operations, mixed practice - (explanations given for wrong answers)
- Fraction Decimal Conversion - a Quia matching quiz
- Fraction Decimal Conversion - another Quia matching quiz
- Fraction Decimal Conversion - a Quia concentration style quiz
- Fractional Distances - find Grampy by entering a fractional distance - (includes mixed numbers and various fractions)
- Fractions Converted to Percent and Decimals - an eleven question quiz from McGraw Hill Ryerson.
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Multiplying and Dividing Fractions - online quiz
- Practice Converting Percent to Fractions - instruction and review, practice, and a quiz &
- Rename Fractions in Lowest Terms - practice in renaming fractions
- 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
- Decimals

- Adding with decimals - Addition of numbers with three decimal digits
- Addition with Two decimals - check mark appears if answer is correct
- Comparing fractions and decimals - interactive game
- Complete the number sentence - All operations with decimals
- Decimal addition - Push the green blocks into the holes to make the target number.
- Dividing Decimals - Complete the number sentence
- Division of Decimals - Divide with 2 decimals
- Division of Decimals - Divide with 3 decimals
- Multiplying and Dividing with Decimals - online quiz
- Multiplying with decimals - Multiplying numbers with two decimals
- Rounding off - round numbers to significant decimal places
- Spy Guys Interactive - Decimals - Lesson 1
- Subtracting with decimals - Subtraction with one decimal digit
- Subtracting with decimals - Subtraction with three decimal digits
Represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers).

7.1.3

N

- Decimals

- Fractions, Decimals or Percent - two are given, you supply the third
- Spy Guys Interactive - Decimals - Lesson 1
- Spy Guys Interactive - Solving Problems with Decimals - Lesson 5
- Integers

- 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.
- Spy Guys Interactive - Understanding Integers - Lesson 6
- Mixed Numbers
- Percent

- Calculate percent - Discover relationships between fractions, percents, and decimals
- Finding a percent of a quantity - online quiz
- Percents and Wholes - online quiz
- Percent Game - FunBrain site
- Shopping at Troy's Toys - percent shopping
- Spy Guys Interactive - Percent - Lesson 4
- Using percents - online quiz
- Scientific Notation

- Converting Standard Numbers to Scientific Notation - instruction and review, practice, and a quiz &
- Converting from Scientific Notation to Standard Numbers - instruction and review, practice, and a quiz &
- Comparing Scientific and Standard Notation Numbers - instruction and review, practice, and a quiz &
- Converting Decimal Numbers to Scientific Notation - instruction and review, practice, and a quiz &
- Converting from Scientific Notation to Decimal Numbers - instruction and review, practice, and a quiz &
- Converting Fractions to Scientific Notation - instruction and review, practice, and a quiz &
- Practice with Scientific Notation - Pencil and paper may be needed - [ Answers provided ]
Compare rational numbers using the appropriate symbol (<, >, and =).

7.1.4

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 - instruction and review, practice, and a quiz &
- 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.
- Greater, Less Than, or the Same - Compare these decimals - instruction and review, practice, and a quiz &
- MathDrill lets your students practice <, >, or =.
- Review Rules for Working with Rational Numbers - two interactive sections are provided, look for the blue blocks
Identify the opposite and the reciprocal of a rational number.

7.1.5

N

- How do I find the reciprocal of a decimal mixed number? - an answer to a student's question
- Rational Number and its Reciprocal - a step-by-step examination of a problem by Dr. Math
Connect percents greater than 100 and percents less than one to real-world situations.

7.1.6

N

- Practice Solving Percent Problems - more percent practice
- Using the Proportion Method to Solve Percent Problems - practice problems at the end
Apply order of operations when computing with whole numbers (no more than two parentheses and no exponents).

7.1.7

N

- Algebra: Order of Operations - 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 - 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 - 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 ( 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!
Solve one- and two-step real-world problems involving whole numbers, fractions, and decimals.

7.1.8

R

- Algebra - Fun with Calendars
- Basic Algebra - Lesson 5 - Expressions from Sentences
- Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
- Let's Do Lunch - Students use a menu to order lunches that meet various criteria.
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Million Dollar Mission - a mathematics fantasy
- Ms. Lindquist: The Tutor - A free, web-delivered, intelligent tutoring system for tutoring students in writing expressions for algebra word problems. This site is sponsored by NSF.
- Shopping at Troy's Toys - percent shopping
- Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
- Spy Guys Interactive - Problem Solving Bank - Lesson 20 . (fifteen problems to solve, with suggested strategies given)
- Taming Word Problems - a WebQuest
- Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource
- Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills.
Use estimation strategies to select a reasonable solution to a computation involving rational numbers.

7.1.9

N

- Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
- 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
- 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 - estimate by rounding.
- 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
Select a reasonable solution to a real-world division problem in which the remainder must be considered.

7.1.10

N Connect rational numbers to locations on a number line.

7.1.11

N

- Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!"
- Line Jumper - Click on the number line at the correct answer.
- Number Line Bounce - Instructions on how to play are included at the top of the window.
- Number Line: Comparing and Ordering Integers - practice with an Interactive Adventure with Deep Sea Carl - Carl is diving in the Great Barrier Reef off the coast of Australia. These waters are shark infested. Keep Carl safe by determining how many feet below sea level Jaws Daddy is.
- Rational Numbers on a Number Line - [ designed for 6th grade ]
- Rational Numbers on a Number Line - a 1 page document from Glencoe Publishers; with explanation, examples, and practice problems
- Rational Numbers on a Number Line - a 13 page document with examples and sample problems
- Rational Numbers on a Number Line - a 22 slide PowerPoint show with good sample questions
- Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included
Use ratios to represent quantitative relationships.

7.1.12

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
- The Importance of Ratios and Proportions - this comes under the heading of a perfect answer to "Why do I have to learn this?" - how a stock market trader benefits from ratio and proportion
- Interpreting and Applying Proportions - online quiz
- Learning ratios and proportions through scale drawings - a text 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 - quiz at Quia
- Rates, Ratios, and Proportions - 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
- Teaching Ratios and Proportions - suggestion for teachers and parents
- Using Proportions - online quiz
National Library of Virtual Manipulatives

Number & Operations (Grades 6-8)

## Review Help

Released Test & Others

- Seventh 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 )
- FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips
- FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips
- Texas end-of-year Math test 2003
FCAT Sample Test Book

- The FCAT Sample Test Books are designed to help students become familiar with FCAT (Florida) by providing helpful hints and offering practice answering questions in different formats. Half of this document is math and half is reading.
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 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.

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