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.

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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).