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Grade 7 Mathematics > Matrices index > MSMP
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McDougal Littell (ML) &
Prentice Hall (PH) Alignment
Number Sense –
22/65 or 34% of questions on CST (14 items on CAHSEE)

 
NS 1.0 Students know the properties of, and compute with, rational numbers expressed in a variety of forms:
NS 1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using scientific notation.

Exploring Exponents and Scientific Notation - Junior High Interactive resource. Includes a video that illustrates how math is used by paleotologists in the study of dinosaurs. An interactive activity allows students to sort and then order numbers that are expressed in scientific notation. A print activity about exponents can be downloaded.
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Scientific Notation - Brainpop video explains how to write scientific notation using planet distances as an example. It walks students through the process of converting positive and negative numbers into scientific notation. Can be paused or replayed. Includes an interactive quiz.
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Converting Numbers to Scientific Notation - Video tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.
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Quick Math Scientific Notation – Very cool JavaScript tool from Quick Math that lets you plug in numbers and then it walks the user through steps that it took to arrive at the conversion to scientific notation. Eight types of problems are covered.
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GoMath Tutorial on scientific notation - GoMath.com. Mini-Lessons guide students through pre-Algebra topics with graphics and examples. Students have the option of reviewing automated problems in scientific notation with step-by-step solutions or practice problems. For additional practice off-line, click on Worksheet. All worksheet are in printable format.
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Scientific Notation Conversions – Write a whole number in scientific notation and vice versa. Follow the directions to learn how to convert from scientific notation to whole numbers using an online scientific calculator, then make your own examples. Uses Macromedia flash.
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Scientific Notation Problem Generator – JavaScript program that lets you convert basic numbers to scientific notation.
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Scientific Notation - From Argyll Math. Explore the components of scientific notation. Includes interactive exercises on converting between forms. Uses Macromedia flash.
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6.9 Scientific Notation

4-9 Scientific Notation

NS 1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.

MathStar New Media Project: Integers -- Complete lessons on adding, subtracting and multiplying integers. Includes videos best practices and actual classroom footage as well as downloadable worksheets, matboard activities and links to other sites that enhance the lessons.
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MathTutor: Integers A local San Francisco Bay Area middle school math teacher has created this website in support of integer teaching and learning. There are videos, games, practice, and more.
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Math Star Lesson Links: Algebraic thinking for Middle School Students. Comprehensive exploration of integers through paper & pencil exercises, flash tutorials and games. Includes downloadable journals and options for pre-and post assessment quizzes. Each lesson is divided into four or five sub-topics with at least four activities in each.
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Late Delivery (Shockwave game) - Students learn about variable expression in this game of postman. Letters are used to represent numbers and students must do the math to deliver the right mail. Three levels of difficulty, onscreen help and printable prizes motivate them to learn. (Click here for CTAP unpacking of this resource).
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Interactive Integers - From Learning Wave Online. Learn about the number line, comparing and ordering, absolute value, addition, subtraction, multiplication & division of integers. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.
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Integer Operations (Addition) - This activity from the National Library of Virtual Manipulatives uses plus-minus chips to demonstrate adding positive and negative values. Students learn that a pair consisting of one positive and one negative has a value of zero and that they effectively cancel one another.
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Integer Operations (Subtraction) - This activity from the National Library of Virtual Manipulatives uses plus-minus chips to demonstrate subtracting positive and negative values and helps conceptualize the combination of positive and negative numbers.
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Integers - PowerPoint Jeopardy Game

Need to review Integers with your students?  Let Alex Trabeck show the way with this ready-made Power Point that has built-in categories for addition, subtraction, multiplication and division, plus integer word problems.

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Illustrating Integers - PowerPoint Download

This colorful Powerpoint presentation is a helpful introduction to addition, subtraction, multiplication and division of integers and is ideal for whole group instruction or a tutorial for students needing one-on-one help.

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Circle 0, Circle 21, Circle 99 - Puzzle activities from the National Library of Virtual Manipulatives that involve adding positive and negative integers to reach specific sums.
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Multiplying Integers/Quest for a Cubicle - Clever interactive game that has students work with positive and negative integers as they calculate answers to multi-step word problems, collect passwords and earn their way to their own cubicle. Three other integer games are available at this same site (Learning Wave).
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Factoring Numbers – tutorials from PurpleMath.com with examples and practice problems.
Tutorial 1
Tutorial 2
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1.2 Expressions & Variables
3.3 Integer Addition
3.4 Integer Subtraction
3.5 Integer Multiplication
3.6 Dividing Integers
5.1 Factoring numbers & Expressions

1-5 Add Integers
1-6 Subtract Integers
1-9 Multiply & Divide Integers
4-2 Take Integers to Whole Number Powers
5-7 Solve equations by adding and subtracting fractions.
5-8 Solve Equations by Multiplying fractions.

NS 1.3 Convert fractions to decimals and percents and use these representations in estimations, computations and applications.

Fractions Pairs Game - Shockwave skills game from the BBC. Match fractions, decimals or percentage pairs and learn which are equal to each other. Three levels of difficulty, immediate feedback, onscreen help. Records how many tries it took to match all site.
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Saloon Snap – Shockwave game from the BBC. Students match fractions with decimals and percentages in a race to beat “Fast Fingers Malcolm.” Includes a tutorial of “key ideas” for converting fractions, decimals and percents. Three levels of difficulty, colorful graphics that do not interfere with learning and onscreen tips make this an engaging choice for students in need of practice.
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Equivalent Fractions Pointer - Students practice simplifying fractions, compare fractions and order them on a number line (Shodor.org)
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Interactive Fractions - From Learning Wave Online. Learn about fractions and ratios, equivalent fractions, addition and subtraction with like and unlike denominators, multiplying fractions, reciprocals and dividing fractions. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.
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Interactive Decimals - From Learning Wave Online. Learn about converting and comparing fractions to decimals, rounding decimals, estimating decimal operations and addition, subtraction, multiplication and division of decimals. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.
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Exploring Fractions - Junior High Interactives video illustrates how math is used every day in hotels and restaurants. In an interactive activity, students explore improper, mixed and equivalent fractions by using measuring cups to obtain a target fraction. Includes printable activity.
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Percent Tricks - Teach your student how to calculate percentages using the Percent Tricks method. (Handout and Lesson Plan)
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Finding Percents
Brainpop video and interactive quiz on how parts of the day are spent. (Click here for CTAP unpacking of this resource).
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Practice Using Percent Proportion
Tutorial for three types of questions and practice problems.
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Proportions - This Web-Based Math Education (WBE) site offers colorful, interactive tutorials in 9 topic areas of 7th & 8th grade math. Each is divided into 10 or more sub-topics. The Proportions topic area offers a visual look at adjusting proportions and scale in five activities: Serving Apples, Visualizing Proportions, Another Look at Serving Apples, Making Lemonade and Building Model Airplanes.
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Solving Equations with Fractions
Use this PowerPoint from Chipman Middle School teachers (Alameda, CA) to teach your students how to solve equations with fractions.
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Percent III - PowerPoint Tutorial

This highly visual tutorial by Monica Yuskaitis teaches students equivalent percents and the process for changing fractions to percents.

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Percentages – (Virtual Manipulative) Discover relationships between fractions, percents, and decimals by specifying two of the three quantities (part, whole or percent) and computing results.
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Percentage Converter - Virtual manipulative that lends itself to a discussion of relations among fractions, decimals, ratios and percentages.
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How students spend parts of their day.
(Spreadsheet activity)
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How Do You Manage Your Time? - Similar activity with extensive handouts, activities and web resources.
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Fractions In The Kitchen - Following the study of the addition, subtraction, multiplication, and division of fractions, the students use the World Wide Web to locate recipes that contain fractions. This hands-on learning experience helps students recognize that fractions are used in everyday life. Students apply the rules for multiplication of fractions and for finding the least common denominator for a group of fractions. Lesson Plan includes downloadable student handouts and assessment.
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Fraction Pie - Discover relationships between fractions, percents, and decimals with a fraction model applet using sliders to change values. Experiment with circles, rectangles and sets.
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Fraction conversions - This activity from Shodor.org uses online manipulatives and allows the user to explore converting decimals to fractions and fractions to decimals. Includes assessment questions.
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Fractions Four - Another online manipulative from Shodor.org. Practice converting fractions, percentages and decimals in a two-person competitive game.
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Converting Fractions to Decimals - From AAAmath.com. Learn-Practice-Play-Explore venue for converting fractions to decimals and percents and reverse.
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A Conceptual Model for Solving Percent Problems - Students use a 10 x 10 grid to represent given information and solve various percentage problems. Lesson plan from Illuminations/nctm.org is included.
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Decimals, Fractions & Percents - From GoMath.com. Covers conversion of decimals and fractions and conversion of decimals and percentages in two separate exercises with interactive examples, mini-lessons and a worksheet.
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Fractions & Decimals - Streaming video segments from Annenberg/PBS Learning Math series. Learn how to teach unit fractions and decimals, predicting remainders, converting decimals to fractions and watch a video on use of numbers in ancient Babylonia.
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5.5 Rational Numbers & Variables
5.6 Writing Percents
5.7 Percents, Decimals & Fractions
7.4 Probability
7.8 Simple Interest

5-2 Convert Fractions to Decimals
6-5 Convert Fractions, Decimals & Percents
6.6 Solve Percent Problems using proportions
6.7 Solve Percent Problems using equations

NS 1.4 Differentiate between rational and irrational numbers.

Rational and irrational numbers (Brainpop movie and interactive quiz) - Quick and simple explanations of rational numbers with examples. Built-in assessment with questions. Feedback given if questions are incorrectly answered more than once. Web of related topics included. Venn Diagram model used to show classification of types of numbers. Examples of repeating and non-repeating decimals are visually represented.
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Introduction to rational and irrational numbers
Lesson, student practice and teacher resources for working with rational and irrational numbers.
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Rational and irrational numbers
A PowerPoint introduction to rational and irrational numbers suitable for teacher presentation, review by students or for absent students.
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Approximations of Irrational Numbers
Lesson, student practice and teacher resources for approximations of irrational numbers and discovering Pi.
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Fact Monster Rational & Irrational Numbers - quick tutorial.
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Rational Numbers - Video and auditory tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.
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5.5 Rational Numbers & Decimals

11.1 Classify Real Numbers
11.2 Pythagorean Theorem
11.3 Using Square Roots to Find Distance

NS 1.5 Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions.

Terminating & Repeating Decimals - Students learn to convert from terminating decimals to fractions and convert from single-digit repeating decimals to fractions using patterns. Problems are solved using an onscreen calculator.
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Turn Repeating Decimals into Fractions- Video and auditory tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.
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Repeating Decimals. Annenberg Media multimedia resources to help teachers increase their expertise and improve their teaching methods.
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Repeating Decimal Rings
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Repeating or Terminating? - Check to see if a fraction becomes a terminating or repeating decimal.
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Terminating & Repeating Decimals - From Houghton Mifflin, online coaching for teachers on introducing the concept of terminating and repeating decimals.
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5.5 Rational Numbers & Decimals

5-2 Write Fractions As Terminating and Repeating Decimals
6-5 Convert Fractions, Decimals & Percents

NS 1.6 Calculate the percentage of increases and decreases of a quantity.

“Percent of” Word Problems – PurpleMath tutorials and practice problems on markup and markdown.
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Percent of Increase & Decrease – Learningwave.com tutorials and colorfully illustrated interactive math challenges help students learn how to use formulas to solve percent problems.
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Word Problems: Percent Increase & Decrease - Excellent tutorial from Algebra Lab on solving problems that deal with increase or decrease. Includes practice problems and the ability to check your answers.
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Word Problems involving Percents – WebMath.com resource lets students find a word problem below that resembles the one they need help with, fill in the blanks, then click "Solve" to find the answer. Some coaching help is offered, based on input.
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Glencoe Online Self-Check Quiz on Percent of Change
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Percentage of Increase calculator - simple javascript tool that lets students calculate the percentage of increase between two units. input.
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Percent increase or decrease tutorial - "Out of" problems and "difference" tutorial and problems from "The Math Page" web site. Choose Lesson 30.
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Then & Now: Comparing Prices and Percentages from World War II - 7th Grade Lesson Plan from the Department of Education/National D-Day Museum.
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