 This symbol identifies a Tennessee
Diploma Project 2008 Standards Awareness Resource
Scope and Sequence
2009-2010
Orchard Correlations
Standard 1 –
Mathematical Processes
Grade Level Expectations:
GLE 0506.1.1 Use mathematical language, symbols, and
definitions while developing mathematical reasoning.
Academic Vocabulary Sports Challenge
Are
you Smarter than the TCAP math test
Academic Vocabulary Jeopardy
Guess the Covered
Word Vocabulary
PowerPoint
Triangles
Academic Vocabulary
GLE 0506.1.2 Apply and adapt a variety of appropriate
strategies to problem solving, including estimation, and
reasonableness of the solution.
Interpreting Data
GLE 0506.1.3 Develop independent reasoning to
communicate mathematical ideas and derive algorithms
and/or formulas.
reasoning
Logic
GLE 0506.1.4 Move flexibly between concrete and
abstract representations of mathematical ideas in order
to solve problems, model mathematical ideas, and
communicate solution strategies.
Create a Graph
GLE 0506.1.5 Use mathematical ideas and processes in
different settings to formulate patterns, analyze
graphs, set up and solve problems and interpret
solutions.
Glencoe Online Math Quiz
GLE 0506.1.6 Read and interpret the language of
mathematics and use written/oral communication to
express mathematical ideas precisely.
GLE 0506.1.7 Recognize the historical development of
mathematics, mathematics in context, and the connections
between mathematics and the real world.
GLE 0506.1.8 Use technologies/manipulatives
appropriately to develop understanding of mathematical
algorithms, to facilitate problem solving, and to create
accurate and reliable models of mathematical concepts.
Money
Visual Puzzle
Visual Puzzle II
Visual Puzzle III
Visual Puzzle IV
Problem Solving
Brain Teasers
Problem Solving II
Math Playground
Checks for Understanding
(Formative/Summative Assessment):
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0506.1.1 Make and test conjectures
about geometric properties and develop logical arguments
to justify conclusions.
Geometric Solids and Their Properties |
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0506.1.2 Make reasonable estimates of
fraction and decimal sums or differences using models.
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0506.1.3 Explore different methods of
estimation including rounding and truncating.
Rounding Numbers
Math Games On Soft Schools |
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0506.1.4 Explore problems in different
contexts to interpret the meaning of remainders as
discrete values or not. |
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0506.1.5 Solve problems in more than
one way and explain why one process may be more
effective than another. |
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0506.1.6 Communicate answers in correct
verbal and numerical form; including use of mixed
numbers or fractions and use of units.
What’s Your Name?
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0506.1.7 Organize and consolidate
verbal statements involving fractions and mixed numbers
into diagrams, symbols, and numerical expressions.
Fractions Game
Cyberchase Game |
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0506.1.8 Use patterns, models, and
relationships as contexts for writing inequalities and
simple equations. |
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0506.1.9 Use age-appropriate books,
stories, and videos to convey ideas of mathematics.
Illuminations
Illuminations2
Bibliography of Children’s Literature in Math
Math Videos
Math Mysteries
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State Performance Indicators:
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SPI 0506.1.1 Given a series of geometric
statements, draw a conclusion about the figure
described.
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SPI 0506.1.2 Estimate fraction and decimal sums or
differences.
Fractions and Quotients Quiz
Estimation -PowerPoint
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SPI 0506.1.3 Recognize the unit associated with the
remainder in a division problem or the meaning of the
fractional part of a whole given in either decimal or
fraction form.
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SPI 0506.1.4 Identify missing information and/or
too much information in contextual problems.
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Standard 2 - Number
and Operations
Grade Level Expectations:
GLE 0506.2.1 Extend the understanding of place value
through millions and millionths in various contexts and
representations.
Place Value lesson, worksheet,
answers
Place Value Easy to Hard
Place Value Game Math Slice
GLE 0506.2.2 Write natural numbers (to 50) as a
product of prime factors and understand that this is
unique (apart from order).
PowerPoint Prime
Factorization
Prime Factorization
Prime Factorization II
Prime Numbers
Worksheet,
answers
GLE 0506.2.3 Develop fluency with division of whole
numbers. Understand the relationship of divisor,
dividend, and quotient in terms of multiplication and
division.
Long Division
GLE 0506.2.4 Develop fluency with addition and
subtraction of proper and improper fractions and mixed
numbers; explain and model the algorithm.
Proper and Improper Fractions
Bingo
Subtract Fractions
Subtract Fractins II
Subtract Fractions III
GLE 0506.2.5 Develop fluency in solving multi-step
problems using whole numbers, fractions, mixed numbers,
and decimals.
Math
stories
Checks for Understanding
(Formative/Summative Assessment):
State
Performance Indicators:
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SPI 0506.2.1 Read and write numbers from millions to
millionths in various contexts.
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SPI 0506.2.2 Write the prime factorization of numbers
through 50 using both exponential and standard notation.
PowerPoint Prime
Factorization
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SPI 0506.2.3 Select a reasonable solution to a
real-world division problem in which the remainder must be
considered.
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SPI 0506.2.4 Solve problems involving the division of
two- and three-digit whole numbers by one- and two-digit
whole numbers.
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SPI 0506.2.5 Solve addition and subtraction problems
involving both fractions and decimals.
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SPI 0506.2.6 Add and subtract proper and improper
fractions as well as mixed numbers.
Mixed Fractions Adding Game
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SPI 0506.2.7 Recognize equivalent representations for
the same number.
Medieval Millions Game on
Fractions and Percent |
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SPI 0506.2.8 Write terminating decimals in the form of
fractions or mixed numbers. |
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SPI 0506.2.9 Compare whole numbers, decimals and
fractions using the symbols <, >, and =.
Place the Numbers in the Correct Order
Comparing Decimals worksheet
Answers
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Standard 3 – Algebra
Grade Level Expectations:
GLE 0506.3.1 Understand and use order of operations.
Operations Game
Order of Operations Practice
Order of Operations Video
Order of Operations Rules
GLE 0506.3.2 Develop and apply the concept of variable.
Variables
Variable Video
Variables
worksheet,
answers
GLE 0506.3.3 Understand and apply the substitution
property.
Substitution Property Video
Substitution Property Video II
GLE 0506.3.4 Solve single-step linear equations and
inequalities.
Comparing
Checks
for Understanding (Formative/Summative Assessment):
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0506.3.1 Evaluate an expression by
substituting non-negative rational number values for letter
variables in the expression.
Order of Operations Game
AAA Math Equations
Variables Worksheet
and answers |
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0506.3.2 Use variables appropriately to
represent numbers whose values are not yet known.
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0506.3.2 Use variables appropriately to
represent numbers whose values are not yet known.
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0506.3.3 Solve single-step linear equations
using inverse operations.
Inverse operations
PowerPoint
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0506.3.4 Solve single-step linear
inequalities and graph solutions on a number line.
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0506.3.5 Determine if a given value is a
solution to a linear equation/inequality.
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0506.3.6 Recognize there are many numbers
between any two whole numbers on the number line.
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State Performance Indicators:
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SPI 0506.3.1 Evaluate algebraic expressions involving
decimals and fractions using order of operations.
Order of Operations Lesson
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SPI 0506.3.2 Evaluate multi-step numerical expressions
involving fractions using order of operations.
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SPI 0506.3.3 Find the unknown in single-step equations
involving fractions and mixed numbers.
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SPI 0506.3.4 Given a set of values, identify those that
make an inequality a true statement.
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Standard 4 – Geometry and
Measurement
Grade Level Expectations:
GLE 0506.4.1 Use basic formulas and visualization to find
the area of geometric figures.
World of Measurement
Making
3D shapes
PowerPoint
Geometric Formulas
GLE 0506.4.2 Describe polyhedral solids and analyze their
properties, including volume and surface area.
Fun Brain Measurement
Instructions for Breaking Polygons into
Triangles
GLE 0506.4.3 Describe length/distance relationships using
the first quadrant of the coordinate system.
Perimeter and Circumference
Length Quiz
Compare Length
GLE 0506.4.4 Solve problems that require attention to
both approximation and precision of measurement.
Illuminations
Measurement
Measurement Practice Quiz
Measurement Practice Quiz II
Measurement Multiplication & Division
Measurement with Whole Numbers
Checks for Understanding
(Formative/Summative Assessment):
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0506.4.1 Develop the formula for the area
of a triangle as it relates to the area of a
parallelogram/rectangle.
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0506.4.2 Find the area of a convex polygon
by decomposing it into triangles/rectangles.
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0506.4.3 Build, draw, and work with prisms
by means of orthogonal views, projective views, and nets.
Making 3D Shapes
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0506.4.4 Describe and identify the five
regular (Platonic) solids and their properties with respect
to faces, shapes of faces, edges, and vertices.
Math Is Fun
Platonic Solids |
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0506.4.5 Quantify total volume as filling
space with same-sized units of volume without gaps or
overlap.
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0506.4.6 Decompose prisms to calculate
surface area and volume.
HotMath Practice
Rectangular Prisms
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0506.4.7 Understand, select and use units
of appropriate size and type to measure angles,
lengths/distances, area, surface area and volume.
Alien Angles Game
Volume of Prisms |
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0506.4.8 Identify characteristics of the
set of points that define vertical and horizontal line
segments.
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0506.4.9 Correctly interpret significant
digits in the accuracy of measurements and associated
calculations.
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0506.4.10 Recognize that measurements are
never exact.
Links Learning
Measuring Monsters |
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0506.4.11 Understand the usefulness of
approximations. |
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0506.4.12 Develop strategies for choosing
correct tools of measurement.
Tools of Measurement
Measurement
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0506.4.13 Recognize and use measures of
weight and temperature.
Woodlands Measures Skills
How a Thermometer Works |
State Performance Indicators:
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SPI 0506.4.1 Solve contextual problems that require
calculating the area of triangles and parallelograms.
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SPI 0506.4.2 Decompose irregular shapes to find
perimeter and area.
Area and Perimeter
Area, Perimeter, and Volume
Math Printables
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SPI 0506.4.3 Identify a three-dimensional object from
two-dimensional representations of that object and vice
versa.
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SPI 0506.4.4 Solve problems involving surface area and
volume of rectangular prisms and polyhedral solids.
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SPI 0506.4.5 Find the length of vertical or horizontal
line segments in the first quadrant of the coordinate
system, including problems that require the use of fractions
and decimals.
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SPI 0506.4.6 Record measurements in context to
reasonable degree of accuracy using decimals and/or
fractions.
Fractions and
Decimals - PowerPoint
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Standard 5 – Data,
Probability and Statistics
Grade Level Expectations:
GLE 0506.5.1 Make, record, display and interpret data
and graphs that include whole numbers, decimals, and
fractions.
Illuminations
Illuminations2
Illuminations3
Illuminations4
Kids Zone
GLE 0506.5.2 Describe the shape and important features
of a set of data using the measures of central tendency.
PowerPoint Mean,
Median, Mode, and Range
Mean, Median, Mode
Checks for Understanding
(Formative/Summative Assessment):
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0506.5.1 Construct and analyze double bar
and line graphs.
Let’s Graph
Grapher
Homework Helper -
Graphing
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0506.5.2 Represent data using ordered pairs
in the first quadrant of the coordinate system.
Billy Bug Game
Locate the Alien
Space Boy
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0506.5.3 Design investigations to address a
question and consider how data collection methods affect the
nature of the data set.
Eye to Eye
Let's Graph
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0506.5.4 Recognize the differences in
representing categorical and numerical data.
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0506.5.5 Evaluate how different measures of
central tendency describe data.
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0506.5.6 Identify outliers
and determine their effect on mean, median, mode and range.
Mean, Median, Mode
PowerPoint Mean,
Median, Mode, and Range
Statistics
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State Performance Indicators:
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