Mathematics and the World We Live In

 

Fifth Grade

 

Mathematics Resources

 

 

Number and Operations

The student will identify, represent, order, and compare numbers; and estimate, compute, and solve problems.


 

Key

Reporting

Category

 

A

N

Read and write numbers from millions to thousandths.

Read and write numbers up to 10,000

Reading Numbers to Billions Power Point

Math Review of Place Value

The Math Page

A

N

Identify the place value of a given digit from millions to thousandths.

Practice Place Value

Place Value from from thousands to thousandths

Place Value Easy to Hard

Place Value Game Math Slice

Quia Place Value Game

Mr. Nussbaum: Place Value Pirates

A

N

Represent whole numbers and two-place decimals in expanded form.

Practice standard and expanded form

Expanded Form Bingo Game

AAA Math Place Values and Addition Lesson

AAA Math Expanded Form and Addition Game 

BBC Skillwise Numbers  Rounding

A

N

Represent, compare, and order whole numbers and decimals to thousandths.

Compare decimals game

Order decimals game

Harcourt Numbers Game

Rounding Decimals to Whole Numbers:

Ordering Decimals:

D

 

Order and compare (<, >, or =) whole numbers, fractions, mixed numbers, and decimals using models (e.g., number lines, base ten blocks, Venn diagrams, and hundreds boards).

Harcourt – Comparing Numbers on a Number Line

Webmath- Comparing Number on a Number Line

Houghton Mifflin Math Place Value and Comparing Quiz

Houghton Mifflin Math Comparing Decimal Quiz

TV 411:

A

N

Compare and order fractions using the appropriate symbol (<, >, and =).

Compare Fractions PowerPoint

Visual Fractions

Fraction Inequality Flashcards

D

 

Demonstrate knowledge and understanding of grade level mathematical terms.

D

 

Represent proper fractions, improper fractions, and mixed numbers using concrete objects, pictures, and the number line.

Cool Math- Zeebo the King of Fractions

Fractions Freeze Game

A

N

Connect symbolic representations of proper and improper fractions to models of proper and improper fractions.

Proper and Improper Fractions

Cool Math -Zeeob the King of Fractions

Visual Fractions

Shodor Foundation Interactive Fraction Pointer:

A

N

Represent numbers as both improper fractions and mixed numbers.

Cool Math -ZeeBo the King of Fractions

D

 

Identify and change improper fractions to mixed numbers and vice versa.

Cool Math- Zeebo the King of Fractions

Bingo

A

N

Generate equivalent forms of commonly used fractions, decimals, and percents (e.g., 1/10, 1/4, 1/2, .75, 50%).

Glencoe Fractions and Percentage Quiz

Equivalent Fraction Activities:

D

 

Recognize relationships among commonly used fractions and decimals.

A

C

Multiply a fraction by a multiple of its denominator (denominator less than or equal to 10).

Cool Math – Zeebo the King of Fractions

M

 

Use commutative, associative, and identity properties.

D

 

Explain and demonstrate the inverse nature of addition and subtraction.

D

 

Explain and demonstrate the inverse nature of multiplication and division.

D

 

Explain how addition, subtraction, multiplication, and division affect the size and order of numbers.

D

 

Select appropriate methods and tools for computations (e.g., mental computation, estimation, calculators, and paper and pencil).

I

 

Explain why one form of a number might be more useful for computation than another form.

A

N

Use estimation to determine a reasonable solution to a whole number computation.

AAA Math: http://www.aaaknow.com/grade5.htm#topic34

A

C

Add, subtract, multiply, and divide whole numbers (multipliers and divisors no more than two-digits).

Practice Basic Addition

Basic Subtraction Practice

Basic Multiplication Practice

Basic Division Practice

Divisibility Rules

Addition to 100

Review Multiplication and Division Facts Game

Practice Basic Division Facts

Practice Division

Online math quiz

A

C

Add, subtract, and multiply decimals.

Multiply and Divide decimals practice

Houghton Mifflin Math Adding and Subtracting with Decimals Quiz

Decimal Numbers

A

C

Add and subtract commonly used fractions.

Houghton Mifflin Math Addition and Subtraction with Decimals and Fractions

Help With Fractions: http://www.helpwithfractions.com/subtracting-fractions.html

D

 

Identify missing information and/or too much information in real-world problems.

A

R

Solve one- or two-step real-world problems involving addition, subtraction, and/or multiplication of whole numbers and decimals.

Decimals Adding Game

Countdown:World Problem Videos:

D

 

Solve real-world problems using decimals (including money), fractions, and percents.

Converting Decimals to Fractions


 

Algebra

The student will analyze and use symbols to generalize patterns, use properties of operations, and analyze change in various situations.

D

 

Generalize and extend or complete patterns involving geometric figures or numbers.

A

AT

Extend numerical patterns.

Common Number Patterns

Number Patterns

Scholastic: http://teacher.scholastic.com/lessonrepro/lessonplans/instructor/burns98a.htm

A

AT

Extend geometric patterns.

Patterns:

A

AT

Generalize numerical patterns using a variable.

D

 

Represent and analyze patterns and functions using words, tables, and graphs.

D

 

Determine or apply a function rule involving data in a function table.

A

AT

Apply basic function rules.

Shodor function machine:

M

 

Demonstrate understanding that an equation is a number sentence stating two quantities are equal.

A

AT

Solve open sentences involving addition, subtraction, multiplication, and division.

Practice basic addition and multiplication

Free Worksheets:

A

AT

Connect open sentences to real-world situations.

Math Equations

Webquest On Campus:

Personal Budget Webquest:

D

 

Represent the idea of a variable as an unknown quantity using a letter or a symbol.

A

AT

Select an equation that represents a given mathematical relationship.

M

 

Apply commutative, associative, zero, distributive, and identity properties.

Properties of Real Numbers

M

 

Show that division is not commutative.

D

 

Investigate how a change in one variable relates to a change in a second variable.

D

 

Use methods to compare and describe situations involving constant and/or varying rates of change and to solve real-world problems (e.g., extending rate charts).

A

R

Extend rate charts to solve real-world problems.

 

Geometry

The student will analyze and describe characteristics and properties of 2- and 3-dimensional shapes, locate and specify points on a grid, and use geometric concepts (e.g., symmetry and transformations) and reasoning to solve problems.

D

 

Identify, compare, and analyze attributes of two- and three-dimensional figures.

Shapes Game

A

G

Identify lines of symmetry in two-dimensional geometric figures.

Geometric figures

Symmetry and Tessellation Activity Link:

A

G

Identify two- or three- dimensional shapes given defining attributes.

Geometric figures

BBC: http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/shapes.shtml

D

 

Use the attributes of geometric figures to develop definitions of the figures.

A

G

Identify lines, line segments, rays, and angles.

Banana Game Angles Game

Geometry Vocabulary:

D

 

Identify and draw points, lines, line segments, rays, and angles.

Geometry Helper

D

 

Draw circles and label diameter, circumference, radius, and center.

A

G

Classify geometric figures using properties.

Geometric Shape flash cards

Geometric word search: http://www.quia.com/ws/65535.html

Mrs. Dell definitions: http://mrsdell.org/geometry/vocabulary.html

D

 

Investigate and describe the results of subdividing and combining geometric figures.

 

D

 

Recognize, name, compare, and contrast congruent and symmetrical geometric figures.

Congruent Figures

D

 

Describe the relationships between lines and the characteristics of angles (e.g., parallel, perpendicular, intersecting, right, acute, obtuse, and straight).

Angles Game

I

 

Make and test hypothesis about geometric properties.

I

 

Explore similarity and how the sides and angles of similar triangles are related.

D

 

Describe location and movement using appropriate mathematical language.

A

AT

Locate and specify a point in Quadrant I of a coordinate system.

Shodor Coordinate Game:

Video of Teacher explaining coordinates:

D

 

Identify, predict, and describe the results of transformations of two-dimensional figures (i.e., slides, flips, and turns).

Alphabet Geometry

A

G

Use spatial reasoning to predict the result of sliding, flipping, or turning a two-dimensional shape.

My Math Transformers: game

I

 

Describe and identify line and rotational symmetry in two-dimensional figures.

D

 

Describe a motion or a series of motions that will show that two shapes are congruent.

D

 

Construct and draw two- and three-dimensional geometric figures.

Space Figures

D

 

Create and describe mental images of objects, patterns, and paths.

D

 

Recognize and build a 3-dimensional object from a 2-dimensional representation (net) of that object (e.g., cube, rectangular prism, pyramid, cone, or cylinder).

A

G

Use spatial reasoning to identify the three-dimensional figure created from a two-dimensional representation (net) of that figure (i.e., cube, rectangular prism, pyramid, cone, or cylinder).

BGF:

I

 

Use visualization and spatial reasoning (e.g., geometric models) to solve problems.

 

Measurement

The student will determine time, length, perimeter, area, weight, capacity, and temperature and solve real-world problems involving measurement.

D

 

Demonstrate understanding of the concepts of length, perimeter, circumference, area, weight, capacity, volume, elapsed time, and angle measure.

D

 

Demonstrate understanding that measurements are approximations.

I

 

Understand how differences in units affect precision of measurements.

D

 

Demonstrate understanding of the relationships among the units within both customary and metric systems of measurement. 

A

ME

Connect simple units of measurement within the same system of measurement.

Max’s Measurement:

English System of Measurement:

A

ME

Use estimation to determine if a length or volume measurement is reasonable.

Bitesize Revisions: http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/measures.shtml

A

ME

Select appropriate standard units to measure length, perimeter, area, capacity, volume, weight, time, temperature, and angles.

Learning to Calculate Perimeter and Area

The World of Measurement

webquest:

Train Times:

Elapsed Time:

D

 

Explore what happens to measurements of a two-dimensional shape when the shape is changed in some way (e.g., perimeter, area).

A

ME

Use strategies to estimate perimeter and area of rectangles.

Web math: http://www.webmath.com/geo_rectangle.html

Count down video rectangles:

D

 

Select and use appropriate standard units to measure length, perimeter, area, capacity, volume, weight, time, temperature, and angles.

The World of Measurement

D

 

Select and use appropriate tools for measuring in real-world situations.

Fun Brain Measuring Game

Use of Tools:

A

ME

Use a ruler to measure to the nearest centimeter and ¼ inch.

Fun Brain:

A

R

Solve real-world problems involving addition and subtraction of measurements.

Measurement Chart

Bucky’s Blueprints:

A

R

Solve real-world problems involving perimeter and area of rectangles.

Conversion of area

A

R

Solve real-world problems involving elapsed time.

Lesson Plan for Telling Time

Basic Telling Time

Elapsed Time Clock

Elapsed Time Quiz

Elapsed Time Quiz II

Analog Time Clock On Line Practice

Take the Time Quiz

How Your Timing Quiz

A

ME

Read temperatures on a thermometer using Fahrenheit and Celsius scales.

How to Read a Thermometer

Practice reading a Thermometer

Converting Fahrenheit to Celsius

Interactive thermometer

A

ME

Apply formulas to find the area of parallelograms and triangles.

Math Tutor: http://www.calverms.legend.yorks.com/mesh06pg.htm

Formulas for Area Hotmath: http://hotmath.com/hotmath_help/algebra1/area.html

Math is Fun: http://www.mathsisfun.com/area.html

D

 

Explain and demonstrate how scale in maps and drawings shows relative size and distance.

Lesson Plan for Map Scale

I

 

Develop informal strategies to determine the surface area and volume of rectangular solids.

 


 

Data Analysis and Probability

The student will collect, organize, analyze, interpret, and display data in tables and graphs and determine the probabilities of outcomes in simple experiments.

D

 

Collect data using observations, surveys, and experiments.

D

 

Understand how data-collection methods could affect the results.

A

DP

Represent and interpret data in bar graphs and pictographs.

Practice Reading Bar Graphs

Reading Bar Graphs

Pictograph Quiz

Collection Data and Making a Bar Graph

Video Countdown:

D

 

Represent data using pictographs, bar graphs, tables, circle graphs, and line graphs.

Math: Handling Data

D

 

Interpret data displayed in pictographs, bar graphs, tables, circle graphs, and line graphs.

Data Handling

D

 

Use measures of central tendency (i.e., mean, median, and mode).

Using and Handling Data

Finding Mean and Mode

A

DP

Determine the mean, median, and mode of a data set.

Review mean, median, and mode

Mean, Median, and Mode

Using and Handling Data/Math is Fun.com

Finding the Mean and Mode of Set of Data

I

 

Find the range of a data set.

D

 

Make predictions and justify conclusions based on data.

Train Game

A

AT

Make predictions based on data.

Figure This Math Challenges:

D

 

Design investigations to address a question.

D

 

Examine various graphical representations of data to evaluate how accurately the data is depicted.

I

 

Explain the importance of sample size in investigations.

D

 

Describe the likelihood or chance of events as likely, unlikely, certain, equally likely, or impossible.

Probability

A

DP

Determine the most likely, least likely, or equally likely outcomes in simple experiments.

Probability

Probability II

Probability III

D

 

Use a sample space to predict the probability of an event.

The Probability Line

Probability Game

 

A

DP

Represent the likelihood of an event using a fractional number from zero to one.

The Probability Line

Saskschools: http://www.saskschools.ca/curr_content/byersjmath/datamgmt/teachers/probab/probty.swf

 

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Algebra I

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Science Fair

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Math/Science Integration

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