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Chapter 1 Data Representation and Communication by vug13489

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```									Instruction Period

JEFFERSON COUNTY SCHOOLS
Dates Taught

TN Department of Education
Student Performance   Building blocks for the   Essential Vocabulary      Common                 Materials/
CONTENT STANDARD/ GLE           Checks for Understanding
Indicators (SPI)       new standards            *teacher word       Assessment item           Resources

FIRST NINE WEEKS
GLE 0606.1.2 Apply and            0606.1.6 Model              SPI 0606.1.1
adapt a variety of appropriate    situations by devising      Make conjectures
strategies to problem solving,    and carrying out            and predictions
including estimation, and         experiments and             based on data.
reasonableness of the solution.   simulations.
1                          (Introduced)                              (Introduced)        (Introduced)                                                                              Chapter 1

SPI 0506.3.2
Evaluate multi-step
numerical
expressions
inolving fractions
using order of
operations.
SPI 0506.3.1
evaluate algebraic
expressions
involving decimals
and fractions using
order of operations.
* 0506.3.1
0606.3.3 Recognize                             Evaluate an
the use of juxtaposition                       expression by
(such as 3x, ab) to       SPI 0606.3.2     Use substituting non-
stand for multiplication, order of operations  negative rational
and the convention in     and parentheses to   number values for
these cases of writing    simplify expressions letter variables in
1                          GLE 0606.3.3                     numbers to include grouping symbols and exponents.
Extend order of operationsbefore letters. and solve problems. the expression.                                                                   Chapter 1
SPI 0506.2.3 Select
a reasonable
GLE 0606.3.2 Interpret and                                                         solution to a real-
represent algebraic                                                                world division
relationships with variables in                                                    problem in which
expressions, simple equations                                                      the remainder must
1   and inequalities.                                                                  be considered.        Chapter 1
0606.1.5 Illustrate
properties of operations
by showing that two
expressions are
equivalent in a given      SPI 0606.1.4
context (e.g., using an         Select the
area model for            representation that
distributive property,     models one of the
and grouping/set         arithmetic properties
models for                   (commutative,
commutative and              associative, or
1                                     associative properties).       distributive).                          Chapter 1
SPI 0506.2.5 Solve
subtraction
problems involving
both fractions and
decimals.
* 0506.2.3 Use
visual models,
benchmarks, and
equivalent forms to
commonly used
fractions and
decimals.
* 0506.2.5 Make
reasonable
estimates of
fractions and
decimal sums and
differences.
SPI 0506.2.4 Solve
problems involving
the division of two-
and three-digit
numbers by one-
and two-digit whole
SPI 0606.2.3           numbers.
Solve problems         *0506.2.7
involving the          Understand
multiplication, and    decimal point in     equation, solution,
division of            calculations of      solving and equation,
decimals.(Introduced) multiplication and    defining the variable   Chapter 1
SPI 0606.3.3
Write equations that
correspond to given
situations or
represent a given
GLE 0606.3.1 Write and         mathematical                                term, sequence,
solve two-step equations and   relationship.                               arithmetic sequence,
1   inequalities. (Introduced)     (Introduced)                                geometric sequence      Chapter 1
statistics, data,
frequency table, scale,
interval, line graph,
SPI 0606.3.7            scatter plot, line plot,
Use algebraic           cluster, outlier, range,
expressions and         measures of central
properties to analyze   tendency, mean,
numeric and             median, mode, stem-
geometric patterns.     and-leaf plot, stem,
leaf, bar graph,
1                           histogram                  Chapter 1
SPI 0506.5.3
Calculate
measures of central
tendency to
analyze data.
*05065.5 Evaluate
how different
measures of central
tendencies
describe data.
*0506.5.6
Identify the outliers
and determine their
0606.5.8 Connect         effect on mean,
data sets and their      median, mode and
graphical                range.
representations (such    SPI 0506.5.2 Make
as bar graphs, circle,   predictions based
graphs, and stem-and-    on various data
leaf plots).             representations,
including double
0606.5.9 Determine       bar and line
the sample space for a   graphs.
given situation.         *0506.5.3 Design
investigations to
GLE 0606.5.2 Interpret            0606.5.11 Select the     address a question
representations of data from      appropriate measure of   and consider how
surveys and polls, and describe   center to describe a     data collection
sample bias and how data          data set.                methods affect the
representations can be                                     nature of the data
an dwrite nimbers
from millions to
millionths in various
contexts.
*0506.2.10 Use
exponential
notation to
represent repeated
multiplication of
whole numbers.
SPI 0506.2.2
Write the prime
factorization of
numbers throush
50 using bother
exponenial and
standard notation.
SPI 0606.1.3      Use   *0506.2.1 Identify
concrete, pictorial,  prime numbers up
and symbolic          to 50.
representation for    *0506.2.2 Use the
integers.             prime factorization
SPI of two whole
0606.2.7      Locate  nujbers to
positive rational     determine greatest
0606.2.10 Explore       numbers on the        common factor,
contexts that can be    number line.          least common
GLE 0606.2.5 Develop            described with negative                SPI    multiple.               integer, graph,
meaning for integers; represent numbers (such as        0606.2.8      Locate  *0506.2.4 Use           positive integer,
and compare quantities with     money, elevation, and integers on the         divisibility rules to   negative integer,
1   integers.                       temperature).           number line.          factor numbers.         absolute value      Chapter 3

0606.2.10 Explore         SPI 0606.1.2
contexts that can be      Judge the
GLE 0606.2.5 Develop            described with negative   reasonableness of
meaning for integers; represent numbers (such as          the results of rational
and compare quantities with     money, elevation, and     number estimates
1   integers.                       temperature).             and/or computations.                                            Chapter 3
0606.3.10 Understand
that in an ordered pair
(x, y), the x represents
horizontal location and
y represents vertical
location.                                            coordinate plane,
coordinate grid, x-
0606.3.11 Identify the     SPI 0606.3.9              axis, y-axis,
quadrant of the            Graph ordered pairs       origin, ordered
coordinate system in       of integers in all four   pair, x-
GLE 0606.3.6 Understand        which a point lies.        quadrants of the          coordinate, y-
and use the Cartesian                                     Cartesian coordinate      coordinate,
1   coordinate system.                                        system.                   quadrants           Chapter 3

SPI 0606.1.3      Use
concrete, pictorial,
and symbolic
representation for        opposites,
1                                                             integers.                 additive inverse   Chapter 3

SPI 0606.1.3      Use
concrete, pictorial,
and symbolic
representation for
1                                                             integers.                                    Chapter 3

0606.1.11 Model
algebraic expressions
with manipulatives,
technology, and pencil
and paper.
SPI 0606.1.5
0606.3.7 Move fluently    Model algebraic
GLE 0606.3.1 Write and          between different         expressions using
solve two-step equations and    representations (such     algebra tiles.
inequalities.                   as verbal, tabular,                          SPI
GLE numerical, algebraic,        0606.3.4      Rewrite
0606.3.4 Use expressions,       and graphical) of         expressions to
equations and formulas to solve equations and             represent quantities      expression, zero
1   problems.                       expressions.              in different ways.        pairs              Chapter 4
SPI 0506.3.3 Find
the unknown in
single-step
equations involving
fractions and mixed   inverse
numbers.              operations,
0606.3.6 Use                                  * 0506.3.2 Use        Subtraction
equations to describe                         variables             Property of
simple relationships                          appropriately to      Equality, Addition
shown in a table or     SPI 0606.3.6          represent numbers     Property of
graph.                  Solve two-step linear whose values are      Equality,
equations using       not yet known.        coefficient,
0606.3.8 Represent      number sense,             *0506.3.3 Solve   Division Property
GLE 0606.3.1 Write and         patterns using words,   properties, and       single-step linear    of Equality, two-
solve two-step equations and   graphs, and simple      inverse operations.   equations using       step equation,
1   inequalities.                  symbolic notation.                            inverse operations.   inequality         Chapter 4
SPI 0506.2.9
Compare whole
numbers, decimals
and fractions using
the symbols <,>,
and =.
* 0506.2.9 Explore
numbers less than
0 by extending the
number line
through familiar
applications (e.g.,
temperatures,
below zero, owing
money, measuring
elevation below sea
levels.
SPI 0506.3.4 Given
a set fo values,
identify those that
make an inequality
a true statement.
* 0506.3.4 Solve
single-step linear
inequalities and       terminating decimals,
graph solutions on     repeating decimals,
GLE 0606.3.5 Use multiple      SPI 0606.3.1           a number line.         bar notation, ratio,
representations including      Represent on a            * 0506.3.5          percent, common         function, function
symbolic algebra to model      number line the        Determine if a         denominator, least      table, domain,
and/or solve contextual        solution of a linear   given value is a       common denominator      range, linear
problems that involve linear   inequality.            solution to a linear   (LCD), rational         equation, ordered
1   relationships.                                        equation/inequality.   numbers                 pair               Chapter 4
0606.2.1 Efficiently
compare and order
fractions, decimals and   SPI 0606.2.3
percents; determine       Solve problems
their approximate         involving the
locations on a number     addition, subtraction,
line.                     multiplication, and
division of decimals.
0606.2.8 Recognize
that a terminating       SPI 0606.2.5
decimal equals a         Transform numbers
fraction with a          from one form to
denominator that is a    another (fractions,     SPI 0506.2.7
power of ten.            decimals, percents,     Recognize
GLE 0606.2.3 Understand                                  and mixed numbers). equivalent
and use ratios, rates and       0606.2.9 Recognize                               representations for
percents. (Introduced)          that the decimal form of SPI 0606.2.6            the same number.
a rational number        Solve problems            SPI 0506.2.8
GLE 0606.2.4 Understand     either terminates or     involving ratios, rates Write terminating
and convert between fraction,   repeats.                 and percents.           decimals in the
decimal, and percent forms of                                                    form of fractions or
1   rational numbers.                                                                mixed numbers.                                   Chapter 5
Compatable numbers,
GCF (Greatest
Common Factor),
multipliative inverse,
reciprocal,
Multiplication Property
2    SECOND NINE WEEKS                                                                                      of Equality
SPI 0606.2.1
Solve problems
involving the
multiplication and
division of fractions.

SPI 0606.2.2
Solve problems
involving the
multiplication, and
GLE 0606.1.2 Apply and                                    division of mixed
adapt a variety of appropriate                            numbers.
strategies to problem solving,                                              SPI
including estimation, and                                 0606.3.6      Solve
reasonableness of the solution.                           two-step linear
GLE   0606.1.2 Recognize      equations using
0606.3.4 Use expressions,         when an estimate is     number sense,          SPI 0506.2.6 Add
equations and formulas to solve   more appropriate than   properties, and        and subtract proper    perimeter, formula,
problems.                         an exact answer in a    inverse operations.    and improper           area, circle, center,
variety of problem                             fractions as well as   circumference,
2                                     situations.                                    mixed numbers          diameter, pi, raidius   Chapter 6
SPI 0506.4.2
Decompose
irregular shapes to
find perimeter and
area.
* 0506.4.2 Find the
area of a convex
polygon by
decomposing it into
triangles/rectangles.
SPI 0506.4.6
Record
measurements in
context to
0606.4.11 Relate the                               reasonable degree
circumference of a                                 of accuracy using
circle with the perimeter                          decimals and/or
of a polygonal figure.                             fractions.
*0506.4.9 Correctly
0606.4.12 Derive the                               interpret significant
meaning of Pi using                                digits in the
concrete models and/or                             accuracy of
appropriate technology.                            measurements and
associated
0606.4.16 Solve                                    calculations.
contextual problems                                 *0506.4.10
involving area and                                 Recognize that
circumference of                                   measurements are        equivalent ratios, ratio,
circles, surface areas                             never exact.            rate, unit rate,
and volumes of prisms,        SPI 0606.4.4         * 0506.4.11             proportion, cross
pyramids, cones, and           Calculate with      Understand the          product, scale, scale
cylinders.                  circumferences and     usefulness of           drawing, scale factor,
2                                  areas of circles.   approximations.         scale model               Chapter 6
0606.2.4 Understand
ratio as a fraction used
to compare two
quantities by division.

0606.2.5 Recognize
a:b, a/b, and “a to b” as
notations for ratios.

0606.2.6 Recognize
common percentages
as ratios based on
fractions whose
denominators are 2, 3,
4, 5, or 10.

0606.2.7 Connect
ratio and rate to           SPI 0606.2.6
multiplication and          Solve problems
division.                   involving ratios, rates   percent, percent
and percents.             proportion, part, base,
2                               (continued)               percent equation
0606.2.1 Efficiently
compare and order
fractions, decimals and
percents; determine
their approximate                                     survey, random
locations on a number                                 sample, population,
line.                   SPI 0606.2.4                  percent of change,
Solve multi-step              percent of increase,
0606.2.2 Use area       arithmetic problems           percent of decrease,
models to represent     using fractions,              sales tax, discount,
multiplication of       mixed numbers, and            simple interest,
2   fractions.              decimals.                     principle, discount       Chapter 7 and 8
SPI 0506.5.1
Depict data using
various
representations,
including decimal
and/or fractional
SPI 0606.5.1            data.
0606.5.9 Determine      Determine the           *0506.5.1 Construct
the sample space for a   theoretical probability and analyze double
given situation.         of simple and           bar and line
compound events in graphs. *0506.5.2
0606.5.10 Distinguish    familiar contexts.      Represent data
between a random and                             using ordered pairs
nonrandom sample.                                in the first quadrant
of the coordinate
SPI 0606.5.3            system. *0506.5.4
0606.5.12 Predict the    Determine whether       Recognize the
characteristics of a     or not a sample is      differences in
population based on      biased.                 representing
the analysis of sample                           categorical and
2                      data.                                            numerical data.                                     Chapter 8

outcomes, simple,
event, probability,
random,
complementary
events, fair game, tree
diagram, sample
space, Fundamental
Counting Principal,
compound event,
independent event,
permutation,
combinations,
experimental
probability, theoretical,
probabality,dependent
3   THIRD NINE WEEKS                                                                            event
0606.5.1
Understand that the
probability of an event
is a number between
zero and one that
expresses the
likelihood of its
occurrence.

0606.5.2 6.5.2
Identify the probability
of an event as the ratio
of the number of its
actual occurrences to
the total number of its
possible occurrences.

0606.5.3 Express
probabilities in different
ways.

0606.5.4 Understand
the difference between
probability and odds.

0606.5.5 Analyze a
situation that involves
probability of an
independent event.

GLE 0606.5.1 Understand the 0606.5.6 Estimate
meaning of probability and how the probability of simple
3   it is expressed.               and compound events           Chapter 9
0606.3.10 Understand
that in an ordered pair
(x, y), the x represents
horizontal location and
y represents vertical
location. 0606.4.1
Investigate the sum of
the angles in a triangle
using various methods.
SPI 0606.4.1
ü      0606.4.2            Identify, define or
Relate the sum of the      describe geometric
angles in a triangle to    shapes given a
the sum of the angles      visual representation
in polygons.               or a written
description of its
0606.4.3 Verify the        properties.
basic properties of
triangles and              SPI 0606.4.2      Find
quadrilaterals using a     a missing angle
protractor and ruler.      measure in problems
involving
0606.4.4 Classify          interior/exterior
triangles by side          angles and/or their
lengths (scalene,          sums.
isosceles, and
equilateral) and angle     SPI 0606.4.3
measure (acute, right,     Solve problems
GLE 0606.4.1 Understand          obtuse, isosceles and      using the Triangle
and use basic properties of      equiangular).              Inequality Theorem.
3   other polygons.                                                                                Chapter 10
3                                                                                        similar
0606.4.8 Understand
scaling, dilation and
their relation to
similarity.

0606.4.9 Analyze the
differences between
congruence and
similarity.

3                                                                               Chapter 10
SPI 0606.4.3
0606.4.5 Model and       Solve problems
use the Triangle          using the Triangle
3                               Inequality Theorem.       Inequality Theorem.   Not in book

0606.4.7 Work with
transformations in a
plane and explore their
meanings through
drawings and
manipulatives.

GLE 0606.4.2 Use the        0606.4.10 Describe
concepts of translation,    the effect of a
rotation, reflection, and   transformation on a 2-
symmetry to understand      dimensional figure and
3   congruence in the plane.    the resulting symmetry.                         Chapter 10
SPI 0606.4.1
Identify, define or    SPI 0506.4.1 Solve
describe geometric     contextual
shapes given a         problems that
visual representation  require calculating
or a written           the area of
description of its     triangles and
GLE 0606.4.3 Develop and                                  properties.            parallelograms.
use formulas to determine the                                                     * 0506.4.1
circumference and area of                                 SPI 0606.4.2      Find Develop the
circles, and the area of                                  a missing angle        formula for the are
trapezoids, and develop                                   measure in problems af a triangle by
strategies to find the area of   0606.4.14 Relate the     involving              relating it to the
composite shapes.                area of a trapezoid to   interior/exterior      area of a
the area of a            angles and/or their    parallelogram or
3                                    parallelogram.           sums.                  rectangle.            Chapter 11
*0506.4.7
Understand, select
and use units of
appropriate size
and type to
measure angles,
lengths/distances,
area, surface area
and volume.
SPI 0506.4.3
Identify a three-
0606.4.15 Find lengths                         dimentional object
given areas or                                 from two-
volumes, and vice                              dimentional
versa.                                         representations of
that object and vice
0606.4.17 Use                                  versa.
manipulatives to                               * 0506.4.3 Build,
discover the volume of SPI 0606.4.5            draw, and work with
a pyramid is one-third  Determine the          prisms in
the volume of the       surface area and       orthogonal views,
related prism (the      volume of prisms,      projective views
heights and base areas pyramids and            and nets.
are equal).             cylinders.             *0506.4.6
Decompose prisms
GLE 0606.4.4 Develop and        0606.4.18 Use           SPI 0606.4.6           to calculate surface
use formulas for surface area   manipulatives to        Given the volume of area/volume.
and volume of 3-dimensional     discover the volume of a cone/pyramid, find SPI 0506.4.4 Solve
figures.                        a cone is one-third the the volume of the      problems involving
volume of the related   related cylinder/prism surface area and
cylinder (the heights   or vice versa.         volume of
and base areas are                             rectangular prisms
3                                   equal).                                        and polyhedral
3   ALL YEAR LONG
GLE 0606.1.1 Use
mathematical language,
symbols, and definitions while
developing mathematical
reasoning.

GLE 0606.1.2 Apply and
strategies to problem solving,  0606.1.3 Recognize
including estimation, and       errors generated by
reasonableness of the solution. rounding.

GLE 0606.1.3 Develop              0606.1.4 Describe
independent reasoning to          how changes in one
communicate mathematical          quantity or variable
ideas and derive algorithms       result in changes in
and/or formulas.                  another.

GLE 0606.1.4 Move flexibly        0606.1.7
between concrete and abstract     Formulate questions,
representations of                design studies, and
mathematical ideas in order to    collect real world data.
solve problems, model
mathematical ideas, and           0606.1.8 Determine
communicate solution              an appropriate sample
strategies.                       to test an hypothesis.

GLE 0606.1.5 Use                  0606.1.9 Use age-
mathematical ideas and            appropriate books,
processes in different settings   stories, and videos to
to formulate patterns, analyze    convey ideas of
graphs, set up and solve          mathematics.
problems and interpret

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