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SPI's & Reporting Categories
(based on Tennessee Curriculum Standards) |
Internet Resources |
Identify the opposite and the reciprocal of a rational number.
8.1.1
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
|
Compare rational numbers using the appropriate symbol (<, >, and =).
8.1.2
N |
- Compare and Order Numbers - explanation, examples and interactive applets
 on 4/20/08
- Comparing Exponential Expressions - select, <, >, or =
- 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 on 4/10/08
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Use ratios and proportions to represent real-world situations (i.e., scale drawings and probability).
8.1.3
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 on 4/10/08
- Proportions and Ratios - good explanation of means and extremes from Free Math
- Rags to Riches: Ratio and Proportion Quiz - [this link opens on a new page] quiz at Quia
- Rates, Ratios, and Proportions - [this link opens on a new page] a two person quiz from Quia
- Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
- Ratio & Proportion - math review practice exercises
- Ratio & Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.)
- Ratio and Proportion - explanation and examples on 4/10/08
- Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems on 4/10/08
- 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 on 4/10/08
- Ratios and Proportions - explanation with four sample problems on 4/10/08
- Ratios and Proportions - an interactive lesson in a slide show format
 Ratios and Proportions - an 18 slide PowerPoint show - Ratios and Proportion Review - a 12 slide PowerPoint show
- Review of Proportion - examples and practice problems
- Review of Ratios - examples and practice problems
- Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
- Spy Guys Interactive - Ratio - Click Skip Intro, then select Lessons, and then click on Lesson 3
- Teaching Ratios and Proportions - suggestion for teachers and parents
- Using Proportions - online quiz
|
Determine the approximate locations of rational numbers on a number line.
8.1.4
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 - [this link opens on a new page] 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]
on 4/10/08
- Practice problems to go with the lesson
- Rational Numbers on a Number Line - a 1 page document from Glencoe Publishers; with explanation, examples, and practice problems
  on 4/10/08
- Rational Numbers on a Number Line - a 13 page document with examples and sample problems on 4/10/08
- 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
|
Determine the square
roots of perfect squares (<169).
8.1.5
N |
- Estimate Square Roots - a 21 slide PowerPoint show
- Four
Step Lesson on Square Roots Step three is a listing of the square
root of all perfect
squares up to 100 and step four is a quiz
- Math Jeopardy - square root review in the form of a PowerPoint Jeopardy game
- Number
Cop - select Perfect Squares, click on Start
then use the left and right arrows to move the police car to intercept
only perfect squares
- Perfect Squares and Square Roots - video lesson from Teacher Tube on 4/11/08
- This video also available at Math Video Online
- Powers and Roots - a 17 slide PowerPoint show written by Holt, Reinhart, and Winston
- Radical Expressions - a 147 slide PowerPoint show with many good examples
- Roots, Radicals, and Complex Numbers - a 59 slide PowerPoint show
- Simplify Terms Under a Radical - a square root calculator
- Simplifying Radical Expressions - Intermediate Algebra tutorial
- Simplifying Radicals - basic information about perfect square numbers
- Simplifying Radicals - explanation and practice problems
- Square
Root Calculator - The Square Root Calculator will find the square
root of the number you enter.
- Square Root
Flashcards -
- Square Root Matching
from Quia
- Square Root Videos - large number of videos available, scroll to find them on 4/11/08
- Square Root Worksheet Generator - from Homeschool Math
- Square Roots of Perfect Squares - interactive flashcard site from Study Stack on 4/11/08
- Square
Roots Without a Calculator from the Math Forum
- Square Roots - a 27 slide PowerPoint show written by Holt, Reinhart, and Winston
- Square Roots - Find the square root of a perfect square number. (a matching game like concentration)
- Squares and Square Roots - to understand square roots, first you must understand squares
- Squares and Square Roots - a one page worksheet which includes practice problems
- Tic
Tac Toe Squares - [this link opens on a new page] finding the square roots of numbers less than
1000.
|
Work flexibly with fractions, decimals,
and percents to solve one- and two-step word problems.
8.1.6
R |
- Age
Word Problems - Online lesson on how to do these types of problems,
plus practice
- Calculate
percent - Discover relationships between fractions, percents, and
decimals
- Equation
Match - Find the value of X in each equation
- Fractions
- Adding Fractions - with the same denominator - instruction and review, practice, and a quiz &
- Adding Fractions - using circle graphs - (mixed numbers)
- Adding Fractions - mixed denominators
- Converting Fractions, Decimals, and Percents - from Fact Monster
- Divide fractions - using circles, will show visually 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 Decimal Conversion - a Quia 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.
- Multiply fractions - circles, mixed number times a whole number
- Multiplying and Dividing Fractions - online quiz
- 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 &
- Rename Fractions in Lowest Terms - practice renaming fractions
- Subtracting Fractions - with same denominator - instruction and review, practice, and a quiz &
- Writing Fractions as Percent - five practice problems are at the end of the lesson
- Late
Delivery - Find the value of expression written on each door to
deliver the mail
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Multi-Step Word Problems - seven pages of problems for your students - solutions included at the end of the document on 4/11/08
- Percent
Game - [this link opens on a new page] Funbrain site
- Problem Solving
- worksheets to be printed
- Simple
Interest Problems - instruction and review, practice, and a quiz &
- Simple
Interest Calculations - online lesson
- Simple Interest
Rates - instruction and review, practice, and a quiz &
- Two Step Equation Word Problems - two videos to use to practice this subject
- Two Step Maths Word Problems - this UK site allows students to take a short 10-question quiz
- Two Step Word Problems - a one sheet problem set to print and use in class on 4/11/08
- Four more two step word problems on 4/11/08
- Unstated Information in Fraction Problems - use the information provided to find the unstated information
- Using
percents - online quiz
- Verbal Reasoning
- Challenges students to clearly understand a problem and think through
the solution!
- Word
Problems for Kids - Select your grade
level and good luck! Hints are provided (grades 5-12)
|
Compute efficiently and accurately with whole numbers, fractions, decimals, and percents.
8.1.7
N |
- Adding with decimals - Addition of numbers with three decimal digits
- Fractions,
Decimals or Percent - two are given, you supply the third
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Multiplying and Dividing with Decimals - online quiz
- Percent Game - [this link opens on a new page] Funbrain site
- 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. - instruction and review, practice, and a quiz &
- Percent Problems - a one-player, or two-player game from Quia
- Percent with a Calculator - after the lesson there are problems to work
- Solving
Percent Problems Using a Pyramid Grid - an interactive lesson
- Subtracting with decimals - [designed for 7th grade] Subtraction with three decimal digits
|
Use estimation strategies to select a reasonable solution to a real-world problem involving computing with rational numbers.
8.1.8
N |
- Comparison
Estimator - Similar to Estimator but compares two sets of objects.
- Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
- Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz &
- Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz &
- Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz &
- Estimation Strategies - several strategies are discussed on 4/18/08
- 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] on 4/18/08
- 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 - [this link opens in a new window] estimate by rounding. (Author - Sandi King)
- Rounding Off - Three levels are available in this game from BBC Education
- Scaling the Universe to Your Desktop - estimating size on 4/18/08
- Spy Guys Interactive - Rounding Numbers - Click Skip Intro, then select Lessons, and then click on 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
|
Calculate rates involving cost per unit to determine the best buy.
8.1.9
R |
- American Grocery Shoppers - Consider the problem of determining a "better buy" when you are shopping for canned tomatoes. (an interesting perspective on unit cost)
- The Cost Per Unit of Baking Items - calculate the cost of recipes
- How Do Unit Prices Work - from coupon and refund.com on 4/18/08
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Quiz on Smart Shopping - a three question quiz to test understranding of cost per unit
- What's for Lunch? Pizza Cost Comparison - Visit the Internet Pizza Server and compare costs for different combinations of toppings and pizza sizes. You will also have the opportunity to create and "order" a pizza of your choice.
|
Use exponential, scientific, and
calculator notation to represent large numbers in real-world situations.
8.1.10
N |
- Calculating with Scientirfic Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page on 4/19/08
- Converting Numbers to Scientific Notation - AAA Math lesson and practice problems &
- 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 &
- Cube of a Number - AAA Math lesson and practice problems &
- Division Using Scientific Notation - - two examples and seven practice problems
- Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems &
- 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 on 4/19/08
- 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". on 4/19/08
- 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 on 4/19/08
|
Apply order of operations in computing
with rational numbers using no more than two parentheses and exponents
1 and 2.
8.1.11
N |
- Algebra: Order of Operations - [this link opens on a new page] a quiz from Quia on 4/19/08
- 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.
- Evaluating Algebraic Expressions - from Regents Prep
- 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. on 4/19/08
- 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 on 4/19/08
- 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]
|
National Library of Virtual Manipulatives |
-
Number & Operations (Grades 6 - 8)
|
|
|
Generalize a variety of patterns with symbolic rules.
8.2.1
AT |
- Button Beach - use logic to determine the value of rows of buttons, three levels of challenge
- Calculating the nth Term - how to develop a formula that can be used to calculate these terms
- Create your own pattern - drag shapes to create a pattern
- Instructions on how to use this page in your classroom
- Mystery Operations - In this activity the computer makes up a mystery operation, and you have to figure out what the operation is. You give the computer two numbers to calculate, and it tells you the answer.
- Number Cracker - [this link opens on a new page] guess what number comes next in the pattern
- Patterns in Geometry - online quiz
- Patterns - Figure out the patterns, if you can!
- Power Lines - (math reasoning) Place numbers in the circles so all lines add to the same target number. You must get all correct to get the password to go on to the next level. level 2 | level 3
- Writing Rules for Patterns - online quiz
|
Evaluate a first-degree algebraic expression given values for two or more variables.
8.2.2
AT |
- Spy Guys Interactive - Balancing Equations - Click Skip Intro, then select Lessons, and then click on Lesson 11
|
Represent situations and solve real-world problems using symbolic algebra.
8.2.3
AT |
- 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.
- 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.
- Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
 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.
|
Connect symbolic expressions and graphs of lines.
8.2.4
GR |
- Egg-Bungee Lesson Plan - a lesson designed to have students acquire and apply knowledge of estimation using projection graphs, includes procedure for data collection
|
Generate equivalent forms for simple algebraic expressions.
8.2.5
AT |
- Balancing Equations worksheet
- Everything Balances Out in the End - [lesson plan from Illuminations] Students use the Balance Pans - Expressions Tool to explore algebraic expressions. They determine if algebraic expressions are equal. They balance pans to solve a system of equations and use graphing to find the solutions to a system of equations.
- 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
|
Solve one- and two-step linear equations involving integers.
8.2.6
AT |
- Linear
Equation Solver - You type in the equation. The equation solver
will solve it for you with an explanation of how the problem was done.
- Linear
Equation Solvers - Practice Linear Equations! Improves your test
scores!
- The Linear
Equations Solver Applet - This java applet solves linear equations
of two unknown variables.
- Linear
Equation Solver from Algebra.com
- Linear
Equation Solver - a pop-up window allows users to specify the number
of equations
- Rags to Riches Game
- [this link opens on a new page] a fun practice for 1-step, 2-step and multi-step equations. The game
is similar in nature to "Who Wants to Be a Millionaire"
- 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
- Solving
Equations with Variables on Both Sides - at Mathbiz.com
- Word
problems that lead to simple linear equations - Online lesson
|
Apply given formulas to solve real-world problems.
8.2.7
AT |
- Stressed Out - Slope as Rate of Change
|
Interpret graphs which represent rates of change.
8.2.8
GR |
- Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David.
- Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs.
- worksheet associated with the data sets
- Quantitative
Environmental Learning Project - a rich source of data based projects
|
Formulate multi-step equations that represent relationships and real-world situations.
8.2.9
AT |
- Spy Guys Interactive - Balancing Equations - Click Skip Intro, then select Lessons, and then click on Lesson 11
|
Solve one-step linear inequalities.
8.2.10
AT |
- Inequalities Workout at Math.com
- Practice with Solving Inequalities
- Solving Inequalities: Overview - from Purple Math
|
Connect the appropriate graph to a linear equation.
8.2.11
GR |
-
Algebra vs the Cockroaches - determine the slope of the line that
cockroaches are crawling along to destroy them
- Equation
of a Line: Slope-Intercept Form - An interactive applet that will
help you visualize how changing the values for the slope, m, and the
y-intercept, b, will affect the graph of the equation y = mx + b.
- Find
the graph that best matches the linear equation
- Linear
Equation Test - Can you work out the answers? Use the multiple choice
boxes or the radio buttons to select your answer.
- 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 Functions Part A:
Basics:
Slope and Intercept Part B:
Finding
the Equation of a Line
- Practice from Math.com: The
coordinate plane, Slope
and y-intercept, and Graphing
linear equations.
- Bell
work PowerPoint show on Slope of a line
- Linear
Function Jeopardy in the form of a PowerPoint show
- Equation
of Lines - a PowerPoint show
- Use
Excel to Create a Scatter Plot - a step by step tutorial
|
National Library of Virtual Manipulatives |
-
Algebra (Grades 6 - 8)
|
|
|
Classify types of two- and three-dimensional objects using their defining properties.
8.3.1
G |
- Congruent Plane Figures - draw lines of symmetry to make congruent figures
- 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 &
- Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
- Name that Polygon - identify name of given polygon components - instruction and review, practice, and a quiz &
- Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want
- Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz &
|
Identify relationships among the angles (i.e., complementary, supplementary, interior, exterior, vertical, and corresponding).
8.3.3
G |
- Complementary Angles - [this link opens on a new page] Match the angles that are complementary. (a Quia game available in Matching, Flashcards, and Concentration format)
- Geometric Terms - [this link opens on a new page] this Quia quiz contains four activities - matching, flash cards, concentration, and a word search puzzle - which reinforce students vocabulary concerning angles.
- Introduction to Angles - [this link opens on a new page] Basic terms related to the classification of angles (a Quia game available in Matching, Flashcards, Word Search, and Concentration format)
- Types of angles and pairs of angles - good illustrations
- Working with Angles - Answer the questions which deal with angles
|
Recognize similar geometric figures.
8.3.4
G |
- Sam's Similar Shapes - [this link opens on a new page] learn about shapes that are different sizes but the same shape. (Author - Paulette Boggs)
|
Determine the measure of an angle of a triangle given the measures of the other two angles.
8.3.5
G |
- Angles in a Triangle - interactive applet with several examples
- Finding the Third Angle of a Triangle - instruction, practice problems and a game
- Oblique Triangles - from Dave's Short Trig Course
- Right Triangle Calculator - choose the known side then click on the calculate button
- Right Triangles - from Dave's Short Trig Course
- Sum of Angles in a Triangle - students can explore this concept by moving the vertices of the triangle with pressed mouse button
- Triangle Calculator - four different calculators on 4/17/08
- Triangle Calculator - enter values three of the six sides and angles of the triangle and the other
three values will be computed on 4/17/08
|
Apply relationships among the angles and side lengths of similar geometric figures.
8.3.6
G |
- A
Mathematical Droodle - Two Triples of Similar Triangles
- Compass and Straightedge Construction of Similar Triangles - lesson plan from PlanetMath
- Congruent Triangles - an interactive applet
- Math Open Reference: Similar Triangles - interactive triangle lesson
- Proof Using Simiar Triangles - four examples to print and use in your classroom
- Proportionality in Similar Triangles: A Cross-Cultural Comparison - a lesson plan from Convergence: a magazine of the Mathematical Association of America
- Ratio and Proportions: Similar Figures - a four part lesson including problems to work
- Similar Polygons - from Math for Morons Like Us
- Similar Triangles - a 23 slide PowerPoint show which includes scaling factors
- Similar Triangles II - a 14 slide PowerPoint show
- Similar Triangles - explanation of the concept
- Similar Triangles - a You Tube video from Mr. Vann on 4/17/08
- Similar Triangles - includes the AA rule and the RAR rule plus two videos on 4/17/08
- Similar Triangles and the Pythagorean theorem - from Dave's Short Trig Course
- Similar Triangles Lesson - from Oswego City School District Regents Exam Prep Center
- Similarity (geometry) - from Wikipedia
- Strategies for Dealing with Similar Triangles - from Oswego City School District Regents Exam Prep Center
- Three Similar Triangles - a math droodle
- Virtual
Manipulative - Similar Triangles
|
Apply spatial reasoning and visualization to solve real-world problems.
8.3.7
R |
- 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.
- Quick Images - In the following Interactive Activity, you'll stretch both your visualization and drawing muscles. (click on Show Shape to begin the activity)
- 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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Apply geometric ideas and relationships in areas outside the mathematics classroom (i.e., art, science, and everyday life).
8.3.8
R |
- Art, Geometry, and Abstract Sculpture - Computer Graphics, Art, Math, Geometry, and Abstract Sculpture are closely related.
- Art & Geometry -
- Geometry in Art and Architecture - many topics covered
- Geometry Through Art -
What children can learn about art and geometry
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Solve problems using angle relationships (i.e., complementary, supplementary, interior, exterior, vertical, and corresponding).
8.3.9
G |
- Angles
- practice knowledge of acute, obtuse and alternate angles.
- Classifying Angles - online quiz
- Measuring Angles - online quiz with virtual protractor
- Protractor - learn
how to position and read a protractor in order to measure an angle,
and how to use either scale on the protractor
- Pythagorean Theorem - online quiz
- Pythagorean
Explorer - Students find the length of a side of a right triangle
by using the Pythagorean Theorem, and then check their answers.
- Squaring
the Triangle - Students learn about how the Pythagorean Theorem
works, through investigating the standard geometric proof. Parameters:
Sizes of the legs of the triangle.
- Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
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National Library of Virtual Manipulatives |
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Geometry (Grades 6 - 8)
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