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 0406.1.1 Use mathematical language, symbols,
and definitions while developing mathematical
reasoning.
Twenty Question Game
Fourth Grade Math Terms
The Princess and the Tiger
GLE 0406.1.2 Apply and adapt a variety of
appropriate strategies to problem solving, including
estimation, and reasonableness of the solution.
The
Princess and the Tiger
Problem
Solving
Estimation
GLE 0406.1.3 Develop independent reasoning to
communicate mathematical ideas and derive algorithms
and/or formulas.
GLE 0406.1.4 Move flexibly between concrete and
abstract representations of mathematical ideas in
order to solve problems, model mathematical ideas,
and communicate solution strategies.
GLE 0406.1.5 Use mathematical ideas and processes
in different settings to formulate patterns, analyze
graphs, set up and solve problems and interpret
solutions.
GLE 0406.1.6 Read and interpret the language of
mathematics and use written/oral communication to
express mathematical ideas precisely.
GLE 0406.1.7 Recognize the historical development
of mathematics, mathematics in context, and the
connections between mathematics and the real world.
GLE 0406.1.8 Use technologies/manipulatives
appropriately to develop understanding of
mathematical algorithms, to facilitate problem
solving, and to create accurate and reliable models
of mathematical concepts.
Checks for Understanding
(Formative/Summative Assessment):
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0406.1.1 Understand the
relationship between use of answers and the accuracy
of the number.
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0406.1.2 Identify the range of
appropriate estimates, including over-estimate and
under-estimate. |
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0406.1.3 Connect operations with
decimals to money and make estimates.
Game
Practice
Money practice
Game
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0406.1.4 Use commutative,
associative, and distributive properties of numbers
including oral descriptions of mathematical
reasoning. |
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0406.1.5 Measure using ruler, meter
stick, clock, thermometer, or other scaled
instruments.
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0406.1.6 Identify geometric or
physical attributes that are appropriate to measure
in a given situation.
The
Princess and the Tiger
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0406.1.7 Translate the details of a
contextual problem into diagrams and/or numerical
expressions, and express answers using appropriate
units.
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0406.1.8 Match the spoken, written,
concrete (including base ten blocks), and pictorial
representations of decimals.
Base
Ten
Base
Ten Decimal Exercise
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0406.1.9 Develop a story problem
that illustrates a given multiplication or division
number sentence.
Illuminations |
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0406.1.10 Use age-appropriate books,
stories, and videos to convey ideas of mathematics.
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State Performance
Indicators:
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SPI 0406.1.1 Verify a conclusion using the
commutative, associative and distributive
properties.
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SPI 0406.1.2 Compare decimals using concrete
and pictorial representations.
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SPI 0406.1.3 Determine the correct change from
a transaction.
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SPI 0406.1.4 Compare objects with respect to a
given geometric or physical attribute and select
appropriate measurement instrument. |
Standard 2 -
Number and Operations
Grade Level Expectations:
GLE 0406.2.1 Understand place value of numbers
from hundredths to the hundred-thousands place.
Place value
Math Slice
Practice
Place Value
GLE 0406.2.2 Develop fluency with multiplication
and single-digit division.
GLE 0406.2.3 Identify prime and composite
numbers.
GLE 0406.2.4 Understand and use the connections
between fractions and decimals.
The Princess and the Tiger
GLE 0406.2.5 Add and subtract fractions with like
and unlike denominators.
GLE 0406.2.6 Solve problems involving whole
numbers, fractions, and/or decimals using all four
arithmetic operations.
Checks for Understanding
(Formative/Summative Assessment):
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0406.2.1 Compose and
decompose quantities according to place value.
Math Slice
Place value
AAA Math Expanded Form and Addition
Game
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0406.2.2 Understand decimal
notation as an extension of the base-ten number
system.
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0406.2.3 Multiply two- and
three-digit whole numbers.
Video
game practice
Brain Pop
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0406.2.4 Understand and use a
reliable algorithm for multiplying multi-digit
numbers and dividing numbers by a single-digit
divisor accurately and efficiently. |
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0406.2.5 Understand that division
by zero is undefined. |
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0406.2.6 Divide three-digit whole
numbers by one-digit divisors fluently with pencil
and paper. |
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0406.2.7 Identify factors of whole
numbers and model factors and products beyond basic
multiplication facts using arrays and area models.
The
Princess and the Tiger
Splitting
Arrays
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0406.2.8 Generate equivalent forms
of whole numbers, decimals, and common fractions
(e.g., 1/10, ¼, ½, ¾).
Ordering Decimals |
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0406.2.9 Compare equivalent forms
whole numbers, fractions, and decimals to each other
and to benchmark numbers
Bowling for Fractions
Fractions
Freeze Game |
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0406.2.10 Use models to understand
division as the inverse of multiplication,
partitioning, and repeated subtraction.
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0406.2.11 Use models, benchmarks, and
equivalent forms to compare fractions/decimals and
locate them on the number line.
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0406.2.12 Understand and use decimal
numbers up to hundredths and write them as
fractions. |
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0406.2.13 Solve multi-step problems
of various types using whole numbers, fractions, and
decimals.
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0406.2.14 Understand the role of the
remainder in division. |
State Performance
Indicators:
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SPI 0406.2.1 Read and write numbers from
hundredths to hundred-thousands in numerals and in
words.
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SPI 0406.2.2 Locate and place mixed numbers on
the number line.
Harcourt – Comparing Numbers on a
Number Line
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SPI 0406.2.3 Identify the place value of a
specified digit in a number and the quantity it
represents.
Math Slice
Place value
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SPI 0406.2.4 Find factors, common factors,
multiples, and common multiples of two numbers.
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SPI 0406.2.5 Generate equivalent forms of
common fractions and decimals and use them to
compare size.
The
Princess and the Tiger
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SPI 0406.2.6 Use the symbols < , > and = to
compare common fractions and decimals in both
increasing and decreasing order.
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SPI 0406.2.7 Convert improper fractions into
mixed numbers and/or decimals.
Cool Math Lessons
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SPI 0406.2.8 Add and subtract proper fractions
with like and unlike denominators and simplify the
answer.
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SPI 0406.2.9 Add and subtract decimals through
hundredths.
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SPI 0406.2.10 Solve contextual problems using
whole numbers, fractions, and decimals. |
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SPI 0406.2.11 Solve problems using whole number
multi-digit multiplication. |
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SPI 0406.2.12 Solve problems using whole number
division with one- or two-digit divisors.
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Standard 3 –
Algebra
Grade Level Expectations:
GLE 0406.3.1 Extend understanding of a variable
to equations involving whole numbers, fractions,
decimals, and/or mixed numbers.
GLE 0406.3.2 Use mathematical language and
modeling to develop descriptions, rules and
extensions of patterns.
Catching Growing Night Crawlers
Patterns
GLE 0406.3.3 Translate between different forms of
representations of whole number relationships.
Checks for Understanding
(Formative/Summative Assessment):
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0406.3.1 Find an unknown quantity
in simple equations using whole numbers, fractions,
decimals, and mixed numbers.
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0406.3.2 Translate between symbols
and words to represent quantities in expressions or
equations.
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0406.3.3 Create, explain and use a
rule to generate terms of a pattern or sequence.
Catching
Growing Night Crawlers
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0406.3.4 Translate between
symbolic, numerical, verbal, or pictorial
representations of a whole number pattern or
relationship.
Comparing Fractions
Ordering Decimals
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State Performance
Indicators:
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SPI 0406.3.1 Use letters and symbols to
represent an unknown quantity and write a simple
mathematical expression.
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SPI 0406.3.2 Make generalizations about
geometric and numeric patterns.
Pattern Quest
Catching
Growing Night Crawlers
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SPI 0406.3.3 Represent and analyze patterns
using words, function tables, and graphs.
Time
to Walk
Practice
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Standard 4 –
Geometry and Measurement
Grade Level Expectations:
GLE 0406.4.1 Understand and use the properties of
lines, segments, angles, polygons, and circles.
Angle
Sense
Patchwork
Symmetry
GLE 0406.4.2 Understand and use measures of
length, area, capacity, and weight.
Area
of Parallelogram, Triangle,and Trapezoid
Building
A Box
Cereal
Box Area
Estimating Volume
Length
GLE 0406.4.3 Solve problems that involve
estimating and measuring length, area, capacity and
weight.
GLE 0406.4.4 Understand the representation of
location and movement within the first quadrant of a
coordinate system.
Locating points on Quadrants
Checks for Understanding
(Formative/Summative Assessment):
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0406.4.1 Identify the basic parts
of circles.
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0406.4.2 Understand the definition
of degree as it relates to the circle.
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0406.4.3 Classify angles and
triangles as obtuse, acute, or right.
Angle
Sense
Patchwork
Symmetry
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0406.4.4 Measure and draw angles.
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0406.4.5 Determine if a figure is a
polygon.
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0406.4.6 Recognize the use of
decimals in metric measures.
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0406.4.7 Measure liquids using both
standard units and metric units. |
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0406.4.8 Recognize that a measure
of area represents the total number of same-sized
units /that cover the shape without gaps or
overlaps.
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0406.4.9 Recognize that area does
not change when 2-dimensional figures are cut apart
and rearranged.
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0406.4.10 Connect area measure to
multiplication using a rectangular area model.
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0406.4.11 Estimate areas of
rectangles in square inches and square centimeters.
Measuring in Centimeters
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0406.4.12 Estimate the size of an
object with respect to a given measurement attribute
(length, perimeter, area, or capacity).
Finding Perimeter
Estimating Perimeters
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0406.4.13 Compare objects with
respect to a given attribute such as length, area,
and capacity.
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0406.4.14 Explain how the components
of a coordinate system are used to determine
location.
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0406.4.15 Explore properties of paths
between points.
Points, lines, rays
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0406.4.16 Examine transformations in
the coordinate plane.
Transformations
Brain Pop |
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0406.4.17 Predict the results of a
transformation of a geometric shape.
Transformations
Brain Pop
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0406.4.18 Determine whether a
geometric shape has line and/or rotational symmetry.
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0406.4.19 Design and analyze simple
tilings and tessellations.
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0406.4.20 Draw lines of symmetry in
2-dimensional figures.
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0406.4.21 Recognize two-dimensional
faces of three-dimensional shapes. |
State Performance
Indicators:
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SPI 0406.4.1 Classify lines and line segments
as parallel, perpendicular, or intersecting.
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SPI 0406.4.2 Graph and
interpret points with whole number or letter
coordinates on grids or in the first
quadrant of the coordinate plane.
Grid
Exercise
Points, lines, rays
Locating points on Quadrants |
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SPI 0406.4.3 Construct geometric figures with
vertices at points on a coordinate grid.
Angle
Sense
Patchwork
Symmetry
Points, lines, rays
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SPI 0406.4.4 Identify acute, obtuse, and right
angles in 2-dimensional shapes.
Angle
Sense
Patchwork
Symmetry
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SPI 0406.4.5 Identify
attributes of simple and compound figures composed
of 2- and 3- dimensional shapes.
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SPI 0406.4.6 Determine situations in which a
highly accurate measurement is important.
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SPI 0406.4.7 Determine appropriate size of unit
of measurement in problem situations involving
length, capacity or weight.
Teacher
Resource
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SPI 0406.4.8 Convert measurements within a
single system that are common in daily life (e.g.,
hours and minutes, inches and feet, centimeters and
meters, quarts and gallons, liters and milliliters).
Time
Reading Temperatures
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SPI 0406.4.9 Solve problems involving area
and/or perimeter of rectangular figures.
Estimating Perimeters |
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SPI 0406.4.10 Identify images resulting from
reflections, translations, or rotations.
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Standard 5 – Data,
Probability and Statistics
Grade Level Expectations:
GLE 0406.5.1 Collect, record, arrange, present,
and interpret data using tables and various
representations.
The
Princess and the Tiger
How
Likely Is It To Land in the Trash Can?
Baseball
Statistics
GLE 0406.5.2 Use probability to describe chance
events.
Baseball
Statistics
Pictograph PowerPoint
Bar Graph
PowerPoint
Circle Graph
PowerPoint
Line Graph
PowerPoint
Venn Diagram
PowerPoint
Checks for Understanding
(Formative/Summative Assessment):
State Performance
Indicators:
