NS 1.1 Compare and order positive
and negative fractions, decimals, and mixed numbers
and place them on a number line.  |
Visual
Fractions - An on-line tutorial that
offers instruction and practice in identifying,
renaming, and operating on fractions. All examples
are modeled with number lines or circles.
 
Factor
Trees – Power Point slideshow
that could be used for direct instruction or
small group instruction entitled Growing
a Factor Tree - Click on Factor Trees
to download the slideshow
 
Fraction Tracks - From Annenberg/PBS Learning Channel. Learn how to play a game of "Fraction Tracks" with your students to encourage mathematical discourse and to enhance the players' understanding of fractions. Sample plays and possible moves are given. There is an option for watching a video of the game in a classroom setting.
 
Comparing and Ordering Decimals can be good for your health. "Mathnavox" interactive video (Alberta CA Dept of Education) allows users to compare fat content of grocery products to find the most nutritious items. Students drag and drop decimal numbers onto a number line. Assessment tools are provided as a downloadable file.
Integer Arithmetic - Interactive online math lesson from the National Library of Virtual Manipulatives site. Includes ideas and examples to help teachers introduce their pre algebra students to the concepts, applications, and skills associated with integer operations. Students can manipulative onscreen tools, write mathematical sentences and explore mathematical patterns. Teacher section gives research-based strategies and suggestions for application of the lesson.
Comparing and Ordering Decimals. Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. Five minutes of free activity with this gizmo from Explore Learning.
Equivalent Fraction Circles - Interactive exercise in equivalent fractions from Visual Math Learning web site. Students find fractions on the left and right sides of the page that are equivalent to the fraction in the center and drag them to the interior of the large circle, where they get immediate feedback and visually see the representation. There are 16 choices and 4 right answers in every grouping.
Spy Guys: Understanding Integers . Select Lesson 6. Covers positive and negative integers and the number line. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.
Spy Guys: Decimals - Select Lesson 1. Spy Guys Interactive 6th Grade Math Lessons (Alberta CA). Colorful tutorials with narration on decimal basics, interactive quizzes (that check for understanding and provide immediate feedback), printable student activities to reinforce the lesson, helpful notes for parents on what students are expected to know. Pause & Replay is available for each screen.
Spy Guys: Solving Problems with Decimals - Select Lesson 5. Spy Guys Interactive 6th Grade Math Lessons (Alberta CA). Colorful tutorials with narration on solving problems with decimals, interactive quizzes (that check for understanding and provide immediate feedback), printable student activities to reinforce the lesson, helpful notes for parents on what students are expected to know. Pause & Replay is available for each screen. .
Learning Wave INTEGERS: Concepts & Applications - Interactive Mathematics by LearningWave.com Covers number line, pairing and ordering, absolute value, addition, subtraction, multiplication, division, equations, and an interactive skills review. There is a pre-test, post-test and clever interactive games and exercises that allow students to apply what they have learned. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.
Learning Wave DECIMALS: Concepts & Applications - Interactive Mathematics by LearningWave.com Covers converting and comparing fractions to decimals, rounding decimals, estimating decimal operations, addition, subtraction, multiplication and division of decimals and an interactive skills review. There is a pre-test, post-test and clever interactive games and exercises that allow students to apply what they have learned. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.
Learning Wave FRACTIONS: Concepts & Applications - Interactive Mathematics by LearningWave.com Covers fraction facts, fractions and ratios, equivalent fractions, converting fractions, addition & subtraction with like and unlike denominators, subtraction with borrowing, multiplying fractions reciprocals, dividing fractions. and and an interactive skills review. There is a pre-test, post-test and clever interactive games and exercises that allow students to apply what they have learned. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.
Compare and order decimals, fractions, percents - Figure This! Math Challenge #14 :Batting Averages. One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Figure out who has the highest batting average between two players.
Compare and order decimals, fractions, percents - Figure This! Math Challenge #25 : Grape Juice Jungle . One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Compare two or more quantities to find out which grape juice recipe is juicier.
Compare and Order Numbers - Shockwave audio and visual tutorial from Harcourt Publishers. Each screen includes a replay button.
Comparing Fractions - NCTM/Illuminations Fraction Model applet explores several models for representing fractions with adjustable numerators and denominators. You may also download an interactive Excel file.
Addition & Subtraction of Fractions using a TI Calculator and number line - Download instructions for using the number line app for a dynamic, visual representation of the number line that will help students build skills in comparing decimals, fractions and percents. Add and subtract integers with vector and arithmetic updates of the expression.
A Gigabyte of Music: How Much is That? Students gain experience in converting equations to fractions and converting one unit of measure to another as they solve the problem "How many CD's does it take to download 5 gb of music?" The activity is provided by PBS.org and is tied into a news article from Jim Leher on illegal downloading of music by students. This activity can also be done on a TI calculator.
Decimals: Concepts & Computation - PPT presentation.
Display Fractions in an Excel Spreadsheets - Microsoft Excel can display fractions using numerators and denominators, rather than as decimals. When students need to see real fractions in cells, let Excel take care of the formatting for you. This special way of formatting numbers will especially come in handy when you need to add, subtract, multiply, or divide fractions.
Jenn's Fish Tank: Difference of Two Fractions - Math TV problem solving video. Students must calculate the volume of water that a fish tank can hold. They know how much water Jen has added and how full the tank currently is. Onscreen audio and visual help is provided in setting up the problem and solving it. Once it is solved, students are given another problem to solve and can make use of the practice video, a scratch pad and calculator.
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Chapter 1 Algebra and Decimals
1.5 Comparing and Ordering Decimals
Chapter 2 Number Relationships and Fractions
2.6 Comparing and Ordering Fractions
2.7 Mixed Numbers and Improper Fractions
2.8 Connecting Decimals and Fractions
Chapter 4 Positive and Negative Numbers
4.1 Integers and the Number Line
4.8 Comparing Positive and Negative Numbers
Technology: Using Calculators and Computers
Page 9 Activity 2.3 - Fractions and Mixed Numbers modeling
using a computer draw program
Page 11 Activity 2.8 Simplifying and rewriting fractions
using a graphing calculator
3-1 Represent, compare, and Order Decimals, pages 52-55
8-3 Compare and order Fractions, pages 166-167
11-2 Rational Numbers, pages 230-233
1-2 Comparing & Ordering Decimals, pages 1-2
4-8 Comparing & Ordering Fractions & Mixed Numbers, pages 151-153
6-1 Comparing & Ordering Positive & Negative Numbers, pages 218-220
|
| NS 1.2 Interpret and use ratios
in different contexts (e.g., batting averages, miles
per hour) to show the relative sizes of two quantities,
using appropriate notations ( a / b,
a to b , a : b ). |
Thinking blocks - Students learn how to solve challenging word problems dealing with ratio and proportion using Thinking Blocks. Thinking Blocks is an engaging, interactive math tool developed by classroom teachers to help students learn how to solve multi step word problems. Using brightly colored blocks, students model the relationships among the components of each word problem.
Brain
POP Videos – Click on Ratios
Brain
POP – Click on Proportions
Ratio & Proportion - 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. Requires Flash 6.
Exploring Rate/Ratio/Proportion - this multimedia resource from Junior High Interactives (learnalberta.ca) examines rate, ratio and proportion and shows how they play a role in photography. Using the interactive components, students explore ratio equivalencies by enlarging and reducing images to compare an original ratio and a target ratio. A print activity is included.
PBS Mathline: the Math of Bicycles- Lesson plan/offline activity. Students explore ratios by comparing bicycles to tricycles. They describe the ratio of the relationship between one turn of the pedal and one turn of the wheel, and define the ratio between number of teeth to sizes of the gears.
Spy Guys: Percents . Select Lesson 4. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.
Spy Guys: Ratio. Select Lesson 3. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.
Body Ratios - Modeling Middle School Mathematics project (MMSM) is a professional development program using video lessons and Web-based Internet materials to examine mathematical concepts. Video clips and full transcripts are provided of actual classroom situations in which the lesson is taught. In this lesson on ratios and scaled drawings, educators use the story of Gulliver's Travels to pose the problem: how to make a shirt for someone who is much bigger.
Ratios and Equivalent Ratios - From Math.com. In-depth tutorial with java applets, visuals, examples and workouts. Could
be used at home or in class for review or reteaching.
Proportions -
From Math.com. In-depth tutorial with java applets, visuals, examples and workouts. Could be used at home or in class for review
or reteaching
Using
Scale Drawings - Floorplan Your Classroom -
The activities presented here allow students
to study mathematics by doing real-life architecture
to walk through the floor plan design process.
Look for measurement and drawing tips as you
create a scale drawing on graph paper or using
a computer drawing program.
Scale Factors - Figure This! Math Challenge #61 : Statue of Liberty. One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Learn about similarity and scaling by measuring the length of your nose and your arm in the same units. Then apply this knowledge to find out if the Statue of Liberty's nose is too long.
Ratio & Proportions - Figure This! Math Challenge #47 : VCR Recording Tape . One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Develop proportional reasoning by solving this problem related to VCR Tape recording settings.
Great Cartoon Blow-up Activity Students practice drawing to scale and create blow-ups of their favorite Flintstone characters while learning about similarity
Proportional Reasoning: The Mixture Blues - Session 4, Part B. Annenberg Media Lesson for teachers to improve their own teaching practices. Includes excellent teacher training videos at the beginning of each session. In "Mixture Blues," teachers compare mixtures of blue liquid and clear water and predict which set would be bluer. The video includes reflection on what has been learned.
Proportional Reasoning: QuadPerson - Session 4, Part C. Annenberg Media Lesson for teachers to improve their own teaching practices. Includes excellent teacher training videos at the beginning of each session. The lesson includes a scaling exercise with "Quadperson" that could be used with students and the video shows teachers using it in a learning situation. Participants learn the significance of relative vs. absolute change.
Proportioner - A free resource from the Concord Consortium's "Seeing Math" Project. Proportioner allows students to specify image dimensions graphically, numerically or using a scale factor. They can duplicate images and modify comparisons or use one image to "paint" another. Interactives can be downloaded for offline use. There is a user's guide, warm-up and sample activities.
The Right Ratio of Rest: Proportional Reasoning - .In NASA CONNECT™: The Right Ratio of Rest: Proportional Reasoning, students learn about the human circadian clock and how it affects peoples’ daily lives. Students see how NASA scientists are studying the circadian timing system to improve astronaut’s physical and mental tasks while working in space. Conducting research to help astronauts sleep better in space also helps people on Earth with similar problems. The hands-on activity in this guide allows students to demonstrate how fractions, decimals, and percents are related and further develop their proportional reasoning skills. Includes a 28-minute video that can be paused at appropriate intervals.
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Chapter 6 Ratios and Proportions
6.1 Ratios
6.5 Scale Drawings
Chapter 7 Percents
7.1 Percents, Fractions, and Decimals
Technology: Using Calculators and Computers -
Page 25 – Activity 6.5 – using a computer dr
aw
program to make a scale drawing.
20-1 Ratios and Rates, pages 374-376
20-4 Algebra: Ratios and similar figures, pages 380-383
20-6 Algebra: Scaled Drawings, pages 387-398
20-7 Algebra: Maps, pages 390-391
27-2 PRoblem Solving Strategy: Make a Model, pages 506-507
8-1 Ratios and Equivalent Ratios, pages 306-307
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