5th Grade Math



Worksheet Generator - This web site will allow you to create printable math worksheets from your browser.  (addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)


Star Rating system by teachers  4 stars  3 stars  2 stars 1 star

Measurement Standard

Geometry and Spatial Sense Standard Patterns, Functions and Algebra Standard Data Analysis and Probability Standard

  Number, Number Sense and Operations

(Based on State of Ohio
 Curriculum Standards)


 
1. Use models and visual representation to develop the concept of ratio as part-to-part and part-to-whole, and the concept of percent as part-to-whole
  1. Teachers Tool box
  2. Math Dictionary animation for kids  This is an outstanding website allowing you to explore a comprehensive view of math with many examples  4 Star
  3. Math Game sheet  4 Stars
  4. Talking Calculator  Students will have fun entering number for all areas.
  5. Math Glossary   Click on this link to illustrate and teach.  This link will present a Visual illustration. 4 star
  6. Virtual Manipulate for determining percents.  You will find this extremelty helpful for students.   4 Star
  7. Fractions - Parts of a Whole – Relates parts of a whole unit to written description and fraction. Virtual Manipulate
  8. ReviseWise - Percents  This web site uses colorful animation and great explanations to teach about percents, visualizing percents, and percent of a number. After the instruction, the students can take an online quiz to assess their understanding. The only drawback is the use of English pounds instead of American dollars.  4 Star
  9. You want to be a Math Millionaire.   All students will enjoy this site as well as teachers.  It is fun to do and see if you can make it to the Millionaire spot.  This is an outstanding website.  GET YOUR NAME OR CLASS POSTED AS WINNERS!  4 star
  10. Math Jeopardy  Here is a jeopardy game that the
    student can play right on the screen by themselves.  The highest score will be posted on the Internet for a few days.  GET YOUR NAME OR CLASS POSTED AS WINNERS!
  11. APLUS MATH   You may get yourself or your class ranked in the state when playing this game.   4 Star
  12. Mixed Numbers Improper fractions this smart board will allow students to view how mixed numbers came about.  SB

     

Gizmos are fun, easy to use, and flexible enough to support many different teaching styles and contexts. 

You will present to your students a visual animated manipulative allowing for an easier and faster teaching pedagogy.

You will discover this tool strategically located throughout the website.

 

2. Use various forms of “one” to demonstrate the equivalence of fractions; e.g., 18/24 = 9/12 x 2/2 = 3/4 x 6/6.
This tool explores several representations for fractions using adjustable numerators and denominators.  Very easy to work with and visual for students.  Great for LCD projectors

4 STAR

 

  1. Fractions Percents and decimals  Great Smart Board example in real life.  SB   4 Star
  2. Fractions and Equivalent Fractions  This interactive mathematics lesson reviews concepts such as numerators, denominators, common fractions, mixed numbers, equivalent fractions, and improper fractions. The lesson also includes several math problems that are based on real-life applications of fractions. This interactive mathematics lesson reviews concepts such as numerators, denominators, common fractions, mixed numbers, equivalent fractions.
  3. Fractions - Add and Subtract   This interactive mathematics lesson shows students how to add and subtract common fractions, improper fractions, and mixed numbers. The concepts of equivalent fractions and lowest common denominator are explained. This lesson also includes math problems and a math game.
  4. Power Point on Multiplying fractions.  Download for quicker presentation.
  5. Fraction Bars – Learn about fractions using fraction bars. Virtual Manipulate
  6. Fraction Pieces – Work with parts and wholes to learn about fractions. Virtual Manipulate
  7. Fractions - Adding – Illustrates what it means to find a common denominator and combine. Virtual Manipulate
  8. Fractions - Comparing – Judge the size of fractions and plot them on a number line. Virtual Manipulate
  9. Fractions - Equivalent – Illustrates relationships between equivalent fractions.  Virtual Manipulate
  10. Fractions - Naming – Write the fraction corresponding to the highlighted portion of a shape. Virtual Manipulate
  11. Fractions - Visualizing – Illustrate a fraction by dividing a shape and highlighting the appropriate parts. Virtual Manipulate
3. Identify and generate equivalent forms of fractions, decimals and percents.
  1. Comparing and Ordering Fractions   This lesson teaches students how to compare and order proper fractions. It also examines the relationship between various fractions. The lesson includes parent notes, teacher notes, an assessment task, an activity sheet, and a glossary. This lesson teaches students how to compare and order proper fractions. It also examines the relationship between various fractions.
  2. Fractions Lesson   In this lesson, students work with fractions (halves, thirds, fourths, fifths and tenths) as part of a region and part of a set. They must identify the fraction shown by a diagram of a region or a set, and create a region or a set to illustrate a given fraction. They must also be able to distinguish between the numerator and the denominator of a fraction. In this lesson, students work with fractions (halves, thirds, fourths, fifths and tenths) as part of a region and part of a set.
  3. Proper Fractions  This lesson teaches students about the elements of a proper fraction and the relationship between numerator and denominator.
  4. Equivalent Fractions This lesson teaches students about equivalent fractions through a comparison of pictorial and symbolic representations.
  5. Fishy Fractions - Equivalent Fractions  In this game you help Ulani the pelican catch fish by matching equivalent fractions in their numeric forms.
  6. Fishy Fractions - Improper Fractions   In this game you help Ulani the pelican catch fish by matching improper fractions to their equivalent mixed number form, and vice versa.
  7. Fishy Fractions - Simplest Form  In this game you help Ulani the pelican catch fish by matching fractions to their simplest form.
  8. Fishy Fractions - Fraction and Decimal Match  In this game you help Ulani the pelican catch fish by matching fractions to their decimal equivalent, and vice versa.
  9. Rename in Lowest Terms Circle  This activity allows the user to practice simplifying, converting, multiplying decimals, percentages and fractions.
    The activity is similar to Connect Four, and is designed for two players. The goal is to have four pieces of the same color connected either horizontally, vertically, or diagonally. One player uses red pieces, while the other player uses blue pieces. To earn a piece, you need to answer a fraction-related question.
  10. The Decifractator  This online tool allows the user to easily manipulate the numerator and denominator in a fraction, and then generates the corresponding decimal. The ease of manipulation allows students to discover patterns and relationships.
  11. Equivalent Fractions by Harcourt School Publishers  This online game is a concentration-style game where the student tries to match pairs of cards that represent equivalent fractions by numbers and pictures. The cards are randomly generated so each game is new.
     
4. Round decimals to a given place value and round fractions (including mixed numbers) to the nearest half.
 
  1. Decimal Order - Put the sequence of decimal numbers into ascending order
  2. Spy Guys Interactive - Decimals - Click Skip Intro, then select Lessons, and then click on Lesson 1 
  3. There Must Be Thousands - Students read, write and identify numerals to the hundred thousands. (Author - Sandi King)
  4. What's Your Name? - Students know the value of numbers when written in standard form or expanded notation. (Author - Sandi King)
  5. Spy Guys Interactive - Ratio - Click Skip Intro, then select Lessons, and then click on Lesson
  6. Rounding Rap Video by:  Mrs. Kozak and Mrs. Kothera 5th Grade students at Royalview Elementary
5. Recognize and identify perfect squares and their roots
  1. Beat the calculator   Teaches some awesome shortcuts for squaring numbers.
6. Represent and compare numbers less than 0 by extending the number line and using familiar applications; e.g., temperature, owing money
  1.  Volt Meter    Use the voltage of batteries to explore positive and negative numbers.
7. Use commutative, associative, distributive, identity and inverse properties to simplify and perform computations.
  1. Commutative Property  This resource from the Mathematics Glossary defines the term "Commutative Property". This resource from the Mathematics Glossary defines the term "Commutative Property".
  2. Associative Property This resource from the Mathematics Glossary defines the term "Associative Property".
  3. Distributive Property  This resource from the Mathematics Glossary defines the term "Distributive Property".
8. Identify and use relationships between operations to solve problems.  
9. Use order of operations, including use of parentheses, to simplify numerical expressions.
  1. Order of Operations  This web site teaches about simplifying expressions using order of operations, and then has an interactive quiz to test what was learned.
  2. Lesson on Order of Operations  This is a collection of online lesson that students can read through with good examples and explanations of order of operations. Each finishes with an interactive quiz the student can take right on the web page to see if they understand the material.
10. Justify why fractions need common denominators to be added or subtracted.
  1. Spy Guys Interactive - Ratio - Click Skip Intro, then select Lessons, and then click on Lesson
11. Explain how place value is related to addition and subtraction of decimals; e.g., 0.2 + 0.14; the two tenths is added to the one tenth because they are both tenths
  1. Virtual Base Blocks - Adding and Subtracting Decimals  This online manipulative allows students to add and subtract decimals using base ten blocks that can be combined and split. You can do random problems or create your own.
12. Use physical models, points of reference, and equivalent forms to add and subtract commonly used fractions with like and unlike denominators and decimals.
  1. Fishy Fractions - Adding and Subtracting Fractions   In this collection of games you help Ulani the pelican catch fish by adding and subtracting fractions and mixed numbers, with common and unlike denominators. Simply choose the game you want to play.
  2. AAA Math - Fractions   This site has lessons and exercises on many topics concerning fractions.
  3. AAA Math - Decimals   This site has lessons and exercises for many decimal topics.
  4. Virtual Base Blocks - Adding and Subtracting Decimals  This online virtual manipulative lets the student use base blocks to add and subtract decimals, by splitting and combining blocks. This is also a great way to visualize the concepts of decimal place value
  5. Virtual Manipulative - Adding Fractions   This interactive web site helps students learn to add fractions. Two randomly generated fractions are shown along with a visual representation, which can be manipulated by the student. They have to rename the fractions to have the same denominator and then add them.


     
13. Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.
  1. Rounding and Estimating games   This site has seven rounding and/or estimating games that provide good practice and keep track of progress
  2. Estimation of Quotients  Students will use base ten blocks to solve division problems while they are simultaneously using the division algorithm. Students will achieve a greater understanding of the algorithm and the concept of division of whole numbers.   4 Star  
  3. Space Station Repair   students will use base ten blocks to solve division problems while they are simultaneously using the division algorithm. Students will achieve a greater understanding of the algorithm and the concept of division of whole numbers.   4 Star
     

Measurement

1. Identify and select appropriate units to measure angles; i.e., degrees
  1. Star Gazing  Help Digit find planets in the night sky using angles, measurement and estimation via a telescope with this online interactive activity from PBS Kids.
  2. National Library of Virtual Manipulatives Geoboard  Use this online circular geoboard to illustrate angles and degrees.
  3. ReviseWise Science - Measure Angles  From the BBC. This website contains and interactive activity, worksheet and quize pertaining to the subject "Shape, Space &
    Measure: Angles"
2. Identify paths between points on a grid or coordinate plane and compare the lengths of the paths; e.g., shortest path, paths of equal length.
  1. Plotting to find the area   This is a smart board lesson  SB
3. Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects
  1. Surface Area and Volume In this online activity students manipulate dimensions of rectangular or triangular prisms, and watch how the surface area and volume change.
  2. 3-D Boxes  Calculate how many cubes you need to make the different 3D shapes shown with this Flash activity
  3. Making Measurements  Finalist in the 2000 STEM Project awards. Four interactive mathematical challenges inspired by the Weighing and Measuring Gallery at the Science Museum of London.
  4. Smart Board Lesson  Created by Amy Roberts-Wilson SB
4. Demonstrate understanding of the differences among linear units, square units and cubic units.  
5. Make conversions within the same measurement system while performing computations.
  1. Jeopardy game   This game should be downloaded in power point.  It will cover the following areas:  Polygons, Parameter, Area, Volume.
6. Use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms, and volume of rectangular prisms
  1. Perimeter and Area of Polygons This is a collection of online lesson that students can read through with good examples and explanations of perimeter and area of many figures. Each finishes with an interactive quiz the student can take right on the web page to see if they understand the material.
  2. Measuring the Area and Perimeter of Rectangles  Amy and her brother, Ben, explain how to find the area and perimeter of rectangles and show you how changing the perimeter of a rectangle affects its area. After the lesson, you have an opportunity to measure the length and width of a variety of rectangles and calculate the area and perimeter of each. 4 Star
  3. Triangle Explorer  In this online activity students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
  4. Interactive Area and Perimeter Activity Students find perimeter and area for various rectangles and discover there can be more than one correct answer
  5. Area of a Triangle This interactive web site shows how the area formula for a triangle is only dependant upon the base and height. You can alter the vertex, height, and width to see the effect on the area.
  6. Tables and Chairs  Explore rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. This models the concept of finding the perimeter. Be sure to click the "Help" tab to get instructions.
    (Requires Java)

     
7.   Use benchmark angles (e.g.; 45Ί, 90Ί, 120Ί) to estimate the measure of angles, and use a tool to measure and draw angles.
  1. What's My Angle?  This is a great collection of interactive angle activities including estimating angles, measuring angles, and creating angles. These are great for individual student use or a whole class activity. Be sure to click the "Skip Intro" button to begin using the tools.
  2. Comets game at Funschool In this online game the students save the Earth from comets by estimating and measuring angles.
  3. Virtual Protractor  This interactive website gives the student a randomly generated angle. The student then needs to move a virtual protractor to measure the angle to the nearest 5 degrees. Finally the student needs to type in the measurement (correct spelling required).

     

Geometry and Spatial Sense

1.   Draw circles, and identify and determine relationships among the radius, diameter, center and circumference; e.g., radius is half the diameter, the ratio of the circumference of a circle to its diameter is an approximation of pi.
  1. Mrs. Glosser's Math Goodies - Lesson on Circumference of a Circle  This online lesson explains the different parts of a circle and how to find the circumference. Several examples are given and exercises are provided for the students to do online and get immediate feedback.
2.  . Use standard language to describe line, segment, ray, angle, skew, parallel and perpendicular.
  1. Addicting Puzzles   Great way to relax within the geometry unit. All these puzzles are very addicting to students, parents, and teachers.
3. Label vertex, rays, interior and exterior for an angle.  
4. Describe and use properties of congruent figures to solve problems.  
5. Use physical models to determine the sum of the interior angles of triangles and quadrilaterals.
  1. ReviseWise - Angles This web site uses colorful animation and great explanations to teach about types of angles, and the sum of the angles in triangles and quadrilaterals. After the instruction, the students can take an online quiz to assess their understanding.
  2. 20 Angle Activates  This is an online collection of virtual interactive angle activities covering such topics as the sum of interior and exterior angles in polygons, supplementary angles, angles created by a transversal, vertical angles, and more
     
6. Extend understanding of coordinate system to include points whose x or y values may be negative numbers
  1. Plot Negative and positive numbers  We will use  smart board software to present this lesson.  You will also find a video to assist with this lesson.  SB    Michelle Yee is the author of this this Tutorial  4 Star
      a. 
    Video 
    Excellent Lesson  4 Star
  2. General Coordinates Game  Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted
  3. Maze Game   Students investigate the Cartesian coordinate system by directing a robot through a mine field laid out on the plane
  4. What's the Point?  In this online activity students identify points on a grid. There are three difficulty levels being identifying points in the first quadrant, identifying points on the entire grid, and clicking on the grid to locate coordinates.
     
7. Understand that the measure of an angle is determined by the degree of rotation of an angle side rather than the length of either side.
  1. What's My Angle?  This is a great collection of interactive angle activities including estimating angles, measuring angles, and creating angles. These are great for individual student use or a whole class activity. Be sure to click the "Skip Intro" button to begin using the tools.
8.   Predict what three-dimensional object will result from folding a two-dimensional net, then confirm the prediction by folding the net.
  1. Angles - Students practice their knowledge of acute, obtuse and alternate angles.
  2. Patterns for Solid Figures - Complete to make a cube figure
  3. Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
  4. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
  5. Fruity Flip Flop - students must move fruit to form rows of three, or more, of the same fruit. (Caution: limit their time on this activity, it can be truly addictive!)
  6. Wrapping Paper Patterns - Students decide which figures would result from a flip, a slide, or a turn. (Author - Paulette Boggs)

     

 

Patterns, Functions and Algebra

1. Justify a general rule for a pattern or a function by using physical materials, visual representations, words, tables or graphs
  1. Super Maths World   This is a highly visual game.  Students will be totally engaged.  4 Star
  2. Fundamentals of Algebra   You will use this  Smart Board assignment to illustrate the basic steps in Algebra.  SB Created: by Dan Hoffman
  3. Algebraic Reasoning   Learn how to think algebraically with these clever weighing scales. Levels 1 and 2 contain two scales. Level 3 is more difficult and has three scales. Your goal is to determine the weight of one or more of the objects  4 Star
  4. Algebra Puzzle Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column. That makes the puzzle easier to solve. Other times, you will have to look for relationships among the objects.  4 Star
  5. 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.  4 Star
  6. Decoder Badge Badge - Dial    (Christmas Story) We have provided a  version of the printable 1936 decoder badge LITTLE ORPHAN ANNIE. This  version is for those who want to start decoding quickly. Just cut out the number disc, pin it to the front of the badge and away you go.  I have provided the two parts.  Great way to have you're kids learn patterns.
  7. Power Numbers 1  This site will allow the student to use mathematical reasoning 4 star
  8. Power Numbers 2  This site will allow the student to use mathematical reasoning. This site requires password obtained from site 1   4 star
  9. Power Numbers 3  This site will allow the student to use mathematical reasoning.  This site requires password obtained from site 2  4 star
  10. Whole Number Cruncher Similar to the original "Function Machine" but lists input and output in a table and will not let the user attempt to guess the rule on without at least having two data points.
  11. Find the Rule Game  This Cyberchase game has the player create the rule for each set of numbers.
  12. Odd One Out

    Odd One Out
    F
    ind the odd one out from the very sweet honey bears, it's more difficult than you think!
     


     

2.  Use calculators or computers to develop patterns, and generalize them using tables and graphs.
  1. Function Machine  This online tool has you put in a number, and then it spits out a result. Your goal is to determine what the function machine is doing to the number. You can choose the type of function it uses or let it be random.
  2. Calculator   You may download a freeware calculator listed on the left and install for learning this standard and indicator.  ( Right click on the word Calculator and save as) This should take a maximum of 2 minutes  if you are using a T1 line, Cable or DSL.   This calculator will allow you to learn and understand how you use a calculator and be able to printout a hard copy of your results.  This is a very useful. technique illustrated at this grade standard and also 5th grade.  You have two worksheets you may use.  I will create more if time permits.
    1. Work sheet -1
    2. Work sheet -2
3.  Use variables as unknown quantities in general rules when describing patterns and other relationships.
  1. Function Machine  Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs
4.   Create and interpret the meaning of equations and inequalities representing problem situations.
  1. ReviseWise - Problem Solving   This web site uses colorful animation and great explanations to teach about problem solving strategies. After the instruction, the students can take an online quiz to assess their understanding. The only drawback is the use of English pounds instead of American dollars.
     
5.    Model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions and make predictions.  

Data Analysis and Probability

1.   Read, construct and interpret frequency tables, circle graphs and line graphs.
  1. Pie Chart - Virtual Manipulatives  This online manipulative allows the user to create a colorful pie chart with up to eight different categories. Suggested activities are included on the site.
2.   Select and use a graph that is appropriate for the type of data to be displayed; e.g., numerical vs. categorical data, discrete vs. continuous data.  
3. Read and interpret increasingly complex displays of data, such as double bar graphs.
  1. Weighing coins  Virtual Manipulate
 
4. Determine appropriate data to be collected to answer questions posed by students or teacher, collect and display data, and clearly communicate findings.  
5. Modify initial conclusions, propose and justify new interpretations and predictions as additional data are collected.  
6. Determine and use the range, mean, median and mode, and explain what each does and does not indicate about the set of data.
  1. Mean -  Mode  - Median  Great website to show the student the difference.  Just click on start.
  2. ReviseWise - Mode, median, mean   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.
  3. Smart board   Play a game that will allow you to focus on many different areas of math SB
7. List and explain all possible outcomes in a given situation.
  1. Disguise Combos game   In this online interactive game the student determines by experiment how many possible disguise combinations there are, given several pieces to work with. After each round, the mathematical formula for combinations is used for the problem.
8. Identify the probability of events within a simple experiment, such as three chances out of eight.
  1. Spinners – Work with spinners to learn about numbers and probabilities.

9. Use 0, 1 and ratios between 0 and 1 to represent the probability of outcomes for an event, and associate the ratio with the likelihood of the outcome.

 
10. Compare what should happen (theoretical/expected results) with what did happen (experimental/actual results) in a simple experiment.
  1. Box Model - Virtual Manipulative  This online activity models a probability experiment of pulling numbers from a box. First, the user decides which numbers, and how many of each, are in a box. Then the computer begins randomly drawing numbers and keeping totals. Superimposed can be a graph of the expected theoretical probabilities. This is excellent to show real v. theoretical probability, and the effect of the number of trials on the results.
11. Make predictions based on experimental and theoretical probabilities.
  1. Math-probability   This interactive web site introduces the concept of probability and covers such terms as experiment, outcome, and event. At the end, students can take a quiz online to test what they learned.