Grade 6 Ohio Math Teacher Resources 
 
Number and Number Systems

 
Indicator  Description  Link  Instruction/  
1. Decompose and recompose whole numbers using factors and exponents (e.g., 32 = 2 x 2 x 2 x 2 x 2= 2^{5} ), and explain why “squared” means “second power” and “cubed” means “third power.”  Exponents  http://www.algebrahelp.com/lessons/simplifying/numberexp/index.htm  I/A  
Lesson on Exponents  I  
Factorize 2  http://www.shodor.org/interactivate/activities/FactorizeTwo/  A  
Exponents  I/A  
Calculating Exponents  http://www.wisconline.com/objects/index_tj.asp?objID=ABM401  I  
Factor Tree  National Library of Virtual Manipulatives  A  
Factorize  A  
Exponents, Roots, and Logarithms Quiz from ThatQuiz  A  
2. Find and use the prime factorization of composite numbers. For example: a. Use the prime factorization to recognize the greatest common factor (GCF). b. Use the prime factorization to recognize the least common multiple (LCM). c. Apply the prime factorization to solve problems and explain solutions.  Amby's Math Instruction  I  
Factor Tree  National Library of Virtual Manipulatives  A  
Prime Shooter  A  
3. Explain why a number is referred to as being “rational,” and recognize that the expression a/b can mean a parts of size 1/b each, a divided by b, or the ratio of a to b.
 This web site uses clear explanations and diagrams to explain rational numbers. After the review, the student can take an interactive quiz over the material.  I  
This web site uses clear explanations and diagrams to explain multiple representations of rational numbers. After the review, the student can take an interactive quiz over the material.  http://www.studyzone.org/mtestprep/math8/e/fractiondecimal6l.cfm 
 
This site aims to reduce fraction anxiety, called Fractionitis, in adults and students by helping the user picture and interact with fractions and the operations that can be performed on them.  I/A  
A 13 page document with examples and sample problems  http://www.wvec.k12.in.us/harrison/lbreidenbach/algebra1/a1notes/a1ch2notes.pdf  I  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Understanding fractions: word problems
 http://www.ixl.com/math/practice/grade6understandingfractionswordproblems  A  
4. Describe what it means to find a specific percent of a number, using reallife examples.
 All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
 http://www.ixl.com/math/practice/grade6percentsofnumberswordproblems  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Find what percent one number is of another: word problems
 http://www.ixl.com/math/practice/grade6findwhatpercentonenumberisofanotherwordproblems  A  
5. Use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100.
 All About Ratios  A  
Thinking Blocks  Ratio Word Problems  http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html  I/A  
6. Use the order of operations, including the use of exponents, decimals and rational numbers, to simplify numerical expressions.
 Order of Operations  http://www.algebrahelp.com/lessons/simplifying/oops/index.htm  I  
Lesson on Order of Operations  I  
Effects of Parentheses  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/effects_of_parentheses.html  A  
7. Use simple expressions involving integers to represent and solve problems; e.g., if a running back loses 15 yards on the first carry but gains 8 yards on the second carry, what is the net gain/loss?
 Mrs. Glosser's Math Goodies  Lesson on Introduction to Integers  I  
Color Chips Addition  National Library of Virtual Manipulatives  A  
Color Chips Subtraction  National Library of Virtual Manipulatives  A  
8. Represent multiplication and division situations involving fractions and decimals with models and visual representations; e.g., show with pattern blocks what it means to take 2 2/3 ÷ 1/6.
 Visual Fractions  I/A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  http://www.ixl.com/math/practice/grade6multiplyfractionswithmodels  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  http://www.ixl.com/math/practice/grade6dividebyfractionswithmodels  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  http://www.ixl.com/math/practice/grade5multiplytwodecimalsusinggrids  A  
9. Give examples of how ratios are used to represent comparisons; e.g., parttopart, parttowhole, wholetopart.  Thinking Blocks  Ratio Word Problems  http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html  I/A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  http://www.ixl.com/math/practice/grade6writearatiotodescribeobjectsinapicture  A  
Dirt Bike Proportions  a multiplayer tug of war game for proportions  http://arcademicskillbuilders.com/games/dirtbikeproportions/dirtbikeproportions.html  A  
10. Recognize that a quotient may be larger than the dividend when the divisor is a fraction;
 All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  http://www.ixl.com/math/practice/grade6dividebyfractionswithmodels  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  A  
11. Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning.
 AAA Math  Fractions  I/A  
AAA Math  Decimals  I/A  
Base Blocks Adding and Subtracting Decimals  National Library of Virtual Manipulatives  A  
Fractions  Adding  National Library of Virtual Manipulatives  A  
Fractions and Decimals Quiz from ThatQuiz  A  
12. Develop and analyze algorithms for computing with fractions and decimals, and demonstrate fluency in their use.
 Fractions and Decimals Quiz from ThatQuiz  A  
13. Estimate reasonable solutions to problem situations involving fractions and decimals; e.g., 7/8 + 12/13 » 2 and 4.23 × 5.8 » 25.
 All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  http://www.ixl.com/math/practice/grade6estimatesumsanddifferencesofdecimals  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Multiply and divide decimals: Estimate products of decimal numbers  http://www.ixl.com/math/practice/grade6estimateproductsofdecimalnumbers  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Multiply fractions: Estimate products of fractions and whole numbers  http://www.ixl.com/math/practice/grade6estimateproductsoffractionsandwholenumbers  A  
14. Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions.
 Thinking Blocks  Ratio Word Problems  http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html  I/A  
Skillwise: Ratio and Proportion  five part module; fact sheet, game, quiz, activity and worksheet  http://www.bbc.co.uk/skillswise/numbers/wholenumbers/ratioandproportion/ratio/  I/A  
15. Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was $140, and the sale price is $100.  Bitesize  Percents  http://www.bbc.co.uk/schools/ks2bitesize/maths/number/percentages/play.shtml  A  
Measurement Standard  
1. Understand and describe the difference between surface area and volume.  Surface Area and Volume  http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/  A  
2. Use strategies to develop formulas for finding circumference and area of circles, and to determine the area of sectors; e.g., 1/2 circle, 2/3 circle, 1/3 circle, ¼ circle.  Exploring Pi  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/exploring_pi.html  A  
Perimeter, Area, Surface Area, and Volume Quiz from ThatQuiz  A  
3. Estimate perimeter or circumference and area for circles, triangles, and quadrilaterals, and surface area and volume for prisms and cylinders by: a. estimating lengths using string or links, areas using tiles or grid, and volumes using cubes; b. measuring attributes (diameter, side lengths, or heights) and using established formulas for circles, triangles, rectangles, parallelograms and rectangular prisms.  Mrs. Glosser's Math Goodies  Lesson on Circumference of a Circle  I/A  
Mrs. Glosser's Math Goodies  Lesson on Area of a Circle  I/A  
Exploring Pi  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/exploring_pi.html  A  
Estimator  http://www.shodor.org/interactivate/activities/estim/index.html  A  
Triangle Explorer  http://www.shodor.org/interactivate/activities/triangle/index.html  A  
Area of a Triangle  A  
Triangles Quiz from ThatQuiz  A  
Perimeter, Area, Surface Area, and Volume Quiz from ThatQuiz  A  
4. Determine which measure (perimeter, area, surface area, volume) matches the context for a problem situation; e.g., perimeter is the context for fencing a garden, surface area is the context for painting a room.  Intermediate Test Prep – Grade 6  I/A  
Elementary Test Prep – Grade 3  Measuring Length  I/A  
Elementary Test Prep – Grade 4  Measurement  I/A  
Intermediate Test Prep – Grade 6  Measurement  I/A  
Muskingum Valley Educational Service Center: Web Based  Lesson Plans  http://www.mvesc.k12.oh.us/mathvalueurl/math/6/viewurlm6me4.asp  I  
5. Understand the difference between perimeter and area, and demonstrate that two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.  Shape Explorer  http://www.shodor.org/interactivate/activities/perimeter/index.html  A  
Area Explorer  http://www.shodor.org/interactivate/activities/AreaExplorer/  A  
6. Describe what happens to the perimeter and area of a twodimensional shape when the measurements of the shape are changed; e.g. length of sides are doubled.  Muskingum Valley Educational Service Center: Web Based  Lesson Plans
 http://www.mvesc.k12.oh.us/mathvaluelp/math/6/viewurlm6me6.asp  I/A  
Geometry and Spatial Sense Standard  
1. Classify and describe twodimensional and threedimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides.  Platonic Solids  National Library of Virtual Manipulatives  http://nlvm.usu.edu/en/nav/frames_asid_128_g_2_t_3.html?open=instructions  A  
Angle Sum Theorem  A  
Polygons PowerPoint Presentation  I  
Triangles Quiz from ThatQuiz  A  
2. Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate.  All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Geometry: Triangle review  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Geometry: Identify polyhedra and count faces, edges, and vertices  http://www.ixl.com/math/practice/grade6identifypolyhedraandcountfacesedgesandvertices  A  
3. Use multiple classification criteria to classify triangles; e.g., right scalene triangle.  Sorting Triangles  http://www.crickweb.co.uk/assets/resources/flash.php?&file=triangles  I/A  
4. Identify and define relationships between planes; i.e., parallel, perpendicular and intersecting.  This PowerPoint presentation gives a good explanation of points, lines, and planes using clear descriptions and good illustrations.  http://www.ih.k12.oh.us/MSDunlap/Geometry/pointslinesplanes.ppt  I  
5. Predict and describe sizes, positions and orientations of twodimensional shapes after transformations such as reflections, rotations, translations and dilations.  In this online game you help Bucky the Beaver to plug holes in the dam by flipping and rotating basic shapes, and then placing them on the congruent holes in the dam.  A  
Transformations  Translation  National Library of Virtual Manipulatives This online activity allows you to place pattern blocks on a grid and apply a translation to them. You can do this on your own, or go through three premade activities.  http://nlvm.usu.edu/en/nav/frames_asid_301_g_2_t_3.html?open=activities  A  
Transformations  Rotation  National Library of Virtual Manipulatives  http://nlvm.usu.edu/en/nav/frames_asid_299_g_2_t_3.html?open=activities  A  
Transformations  Reflection  National Library of Virtual Manipulatives  http://nlvm.usu.edu/en/nav/frames_asid_297_g_2_t_3.html?open=activities  A  
Transformations  Dilation  National Library of Virtual Manipulatives  http://nlvm.usu.edu/en/nav/frames_asid_295_g_2_t_3.html?open=activities  A  
TransmoGrapher  http://www.shodor.org/interactivate/activities/transform/index.html  A  
Rotation Presentation  I  
Bathroom Tiles  http://www.bbc.co.uk/education/mathsfile/shockwave/games/bathroom.html  A  


 
6. Draw similar figures that model proportional relationships; e.g., model similar figures with a 1 to 2 relationship by sketching two of the same figure, one with corresponding sides twice the length of the other.  Similar Figures Presentation  http://www.ih.k12.oh.us/MSDunlap/Geometry/Similar%20Figures.ppt  I  
7. Build threedimensional objects with cubes, and sketch the twodimensional representations of each side; i.e., projection sets.  Spacial Reasoning  A  
Point Out the View game  http://pbskids.org/cyberchase/games/pointofview/pointofview.html  A (game)  
Patterns, Functions and Algebra Standard  
1. Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.  Function Machine  http://www.amblesideprimary.com/ambleweb/mentalmaths/functionmachines.html  A  
Mystery Functions  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/mystery_functions.html  A  
Whole Number Cruncher  http://www.shodor.org/interactivate/activities/WholeNumberCruncher/  A  
Thinking Blocks  Addition and Subtraction  http://www.thinkingblocks.com/ThinkingBlocks_AS/TB_AS_Main.html  I/A  
Thinking Blocks  Multiplication and Division  http://www.thinkingblocks.com/ThinkingBlocks_MD/TB_MD_Main.html  I/A  
Thinking Blocks  Ratio Word Problems  http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html  I/A  
2. Use words and symbols to describe numerical and geometric patterns, rules and functions.  Function Machine  http://www.shodor.org/interactivate/activities/fm/index.html  A  
Mystery Functions  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/mystery_functions.html  A  
Whole Number Cruncher  http://www.shodor.org/interactivate/activities/WholeNumberCruncher/  A  
3. Recognize and generate equivalent forms of algebraic expressions, and explain how the commutative, associative and distributive properties can be used to generate equivalent forms; e.g., perimeter as 2(l + w) or 2l + 2w.  Simplifying Using Distribution  http://www.algebrahelp.com/lessons/simplifying/distribution/index.htm  I  
Distributive problem flashcards  A  
4. Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs.  Equations  I  
Thinking Blocks  Ratio Word Problems  http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html  I  
5. Produce and interpret graphs that represent the relationship between two variables.  All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Coordinate graphing: Find points on a function graph  http://www.ixl.com/math/practice/grade6findpointsonafunctiongraph  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Coordinate graphing: Graph linear functions  http://www.ixl.com/math/practice/grade6graphlinearfunctions  A  
6. Evaluate simple expressions by replacing variables with given values, and use formulas in problemsolving situations.  In this game you are Postman Phil and must choose the correct letter to be delivery to each house. Each house has an algebraic expression that needs evaluated to determine the correct letter to deliver.  http://www.bbc.co.uk/education/mathsfile/shockwave/games/postie.html  A  
This web site teaches about evaluating algebraic expressions by substituting values in for variables, and then has an interactive quiz to test what was learned.  http://www.algebrahelp.com/lessons/simplifying/substitution/  I  
This is a great interactive online quiz covering several algebra concepts. Choose "Solve for x" to substitute values and evaluate expressions. Choose "Simplify" to simplify polynomial expressions. Choose "XIntercepts" to find the xintercept of a linear equation. Choose "Graphing" to plot sample points on a graph for a variety of types of equations. Choose "Formulas" to determine the equation of a graphed line. Finally use the "Level" option to change the difficulty of any problem.  A  
7. Identify and describe situations with constant or varying rates of change, and compare them.  The Green family is planning a oneweek vacation in Florida and needs to rent a car while there. They do not know exactly how far they will drive but estimate it will be between 500 and 1000 miles....  A  
This 5part unit focuses on linear functions and slope.  http://www.learner.org/courses/learningmath/algebra/session5/index.html  I  
8. Use technology to analyze change; e.g., use computer applications or graphing calculators to display and interpret rate of change.  Slope Slider  http://www.shodor.org/interactivate/activities/slopeslider/index.html  A  
Data Analysis and Probability Standard  
1. Read, construct and interpret line graphs, circle graphs and histograms.  Pie Chart  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/pie_chart_8.html  A  
Graphs Quiz from ThatQuiz  A  
Pie Chart  National Library of Virtual Manipulatives  http://nlvm.usu.edu/en/nav/frames_asid_183_g_2_t_1.html?open=activities  A  
Box Plot and Histogram  National Library of Virtual Manipulatives  http://nlvm.usu.edu/en/nav/frames_asid_200_g_3_t_5.html?open=instructions  A  
Histograms  I  
Circle Graphs  I  
Line Graphs  I  
Using Line Graphs  I  
Create a Graph  I/A  
Data Picking  http://www.bbc.co.uk/education/mathsfile/shockwave/games/datapick.html  A (game)  
2. Select, create and use graphical representations that are appropriate for the type of data collected.  All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Charts and graphs: Choose the best type of graph  http://www.ixl.com/math/practice/grade6choosethebesttypeofgraph  A  
3. Compare representations of the same data in different types of graphs, such as a bar graph and circle graph.  Comparing Graphs  Excel Activity  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/comparing_graphs.html  A  
4. Understand the different information provided by measures of center (mean, mode and median) and measures of spread (range).  Lessons on Statistics  I/A  
This web site uses colorful animation and great explanations to teach about mean, median, and mode. After the instruction, the students can take an online quiz to assess their understanding.  http://www.bbc.co.uk/schools/ks2bitesize/maths/data/mode_median_mean/play.shtml  I/A
 
Comparing Data  Excel Activity  http://www.northcanton.sparcc.org/%7Etechnology/excel/files/comparing_data.html  A  
Train Race  http://www.bbc.co.uk/education/mathsfile/shockwave/games/train.html  I/A  
Graphs Quiz from ThatQuiz  A  
5. Describe the frequency distribution of a set of data, as shown in a histogram or frequency table, by general appearance or shape; e.g., number of modes, middle of data, level of symmetry, outliers.  All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Charts and graphs: Choose the best type of graph  http://www.ixl.com/math/practice/grade6createfrequencytables  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Statistics: Calculate mean, median, mode, and range  http://www.ixl.com/math/practice/grade6calculatemeanmedianmodeandrange  A  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Statistics: Interpret charts to find mean, median, mode, and range  http://www.ixl.com/math/practice/grade6interpretchartstofindmeanmedianmodeandrange  A  
6. Make logical inferences from statistical data.  Students use baseball data available on the Internet to look at different ways data can be analyzed. First, they select data to calculate responses to preformulated questions....  I  
All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice. Probability: Make predictions  I  
7. Design an experiment to test a theoretical probability and explain how the results may vary.  This site focuses on three main ideas  the basic definition of probability, the difference between theoretical and experimental probability, and set operations illustrated by simple Venn diagrams.  http://www.shodor.org/interactivate/lessons/IntroProbability/  I/A  
Spy Guys Interactive  Probability   http://www.learnalberta.ca/content/mesg/html/math6web/lessonLauncher.html?lesson=m6lessonshell19.swf  I  
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