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Week |
BluePrint Objective |
Tennessee Standard |
Resources |
Internet and Digital Resources |
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First Nine Weeks |
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1
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Use exponential powers of whole numbers.
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Procedures
Pre-Test (Think Link)
Powers/Exponents 1.2 * |
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2
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Apply order of operations
when computing with whole numbers (no more than two parentheses
and no exponents).
Demonstrate understanding
of different uses of variables.
Evaluate algebraic
expressions given the value of two or more variables
Describe how changes in
one quantity or variable result in changes in another.
Apply the associative and
commutative properties of addition and multiplication to
simplify computations with integers, fractions, and decimals.
Represent, analyze, and
extend geometric and numerical patterns
Extend geometric and
numerical patterns.
Develop understanding for
arithmetic sequences. |
7.1.7 apply
order of operations when computing with whole numbers (no more
than two parentheses and no exponents)
7.2.6
evaluate algebraic expressions for a given value of up to two
variables
7.2.1 extend
geometric and numerical patterns |
Orders of Operations 1.3 *
Variables and Expressions 1.4 *
Properties 1.6 *
Sequences 1.7 * |
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3
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Understand
both metric and customary systems of measurement.
Convert from
one unit to another within the same system. |
7.4.3
convert from one unit to another within the same system
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Metrics 1.8 *
Customary Units 6.7 *
Scientific Notation 1.9 *
Review and Test |
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4
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Represent
numbers using a variety of equivalent forms (i.e., mixed
numbers, fractions, decimals, percents, and integers).
Compare
rational numbers using the appropriate symbol (<, >, and =).
Use concrete,
pictorial, and symbolic representations for integers, including
locations on a number line.
Use models to
demonstrate meaning and effects of arithmetic operations with
integers.
Analyze
procedures for computing with fractions, decimals, and integers. |
7.1.3
represent numbers using a variety of equivalent forms (i.e.,
mixed numbers, fractions, decimals, percents, and integers)
7.1.4
compare rational numbers using the appropriate symbol (<, >, =) |
Number line, Absolute Value 3.1 *
Comparing Integers 3.2 *
Adding Integers 3.4 * |
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5
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Select and
use appropriate methods and tools for computing with whole
numbers, fractions, decimals, percents, and integers in problem
solving situations (e.g., mental computation, estimation,
calculators, number line, computers, and paper and pencil). |
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Adding Integers 3.4 *
Multiplying 3.6 *
Dividing Integers 3.7 * |
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6
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Locate and
specify points on the coordinate plane.
Use ordered
pairs to describe given points in a coordinate system.
Determine the
distance between two points on the x- or the y-axis in Quadrant
I.
Represent
mathematical statements and real-world situations using symbols.
Translate
one-variable verbal and written expressions into algebraic
expressions. |
7.3.5 use
ordered pairs to describe given points in a coordinate system
7.2.5
represent mathematical statements and real-world situations
using symbols
7.4.2
determine the distance between two points on the x- or the y
-axis in Quadrant I
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Coordinate Plane 3.3 *
Written Expressions 4.1 *
Review and Test |
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7
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Solve
one-step linear equations
Model
algebraic equations with manipulatives, technology, and paper
and pencil.
Solve
real-world problems involving one-step linear equations. |
7.2.7 solve
one-step linear equations
7.2.8 solve
real-world problems involving one-step linear equations
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One-Step Equations 4.2 *
Add/Subtract Equations 4.3 *
Solve Two-Step Equations 4.4 * |
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8
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Identify
whole numbers that satisfy a given one-variable inequality.
Solve
real-world problems involving one-step linear equations.
Apply
function rules
Create
function rules.
Construct
tables and graphs to represent rates of change. |
7.2.9
identify whole numbers that satisfy a given one-variable linear
inequality
7.2.2 apply
function rules
7.2.3 extend
rate charts to solve real-world problems |
Inequalities 4.5 *
Function Tables 4.6 * |
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9
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Nine Weeks Test
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Second Nine Weeks |
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10
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Develop
meaning for perfect squares (e.g., 1, 4, 9, and 16).
Develop
meaning for square roots |
7.4.1 apply
formulas to determine the areas of rectangles and triangles
7.4.4 select
units of appropriate size and type to measure angles, perimeter,
area, surface area, and volume
7.4.5 apply
formulas to determine the area of parallelograms, trapezoids,
and circles |
Squares and Square Roots 11.1 *
Estimating Square Roots 11.2 *
Pythagorean Theorem 11.3 *
Perimeter and Area 6.8 * |
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11
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Select units of
appropriate size and type to measure angles, perimeter, area,
surface area, and volume.
Understand, select, and
use units of appropriate size and type to measure angles,
perimeter, areas, surface area, and volume.
Estimate length,
perimeter, circumference, area, and volume using a variety of
strategies.
Select and apply
techniques and tools to accurately measure length, perimeter,
area, volume, and angles to appropriate levels of precision.
Apply formulas to
determine the areas of rectangles, triangles, parallelograms,
trapezoids, and circles. |
7.4.1 apply
formulas to determine the areas of rectangles and triangles
7.4.5 apply
formulas to determine the area of parallelograms, trapezoids,
and circles
7.4.6
estimate length, perimeter, circumference, area, and volume
using a variety of strategies |
Area of Parallelogram 11.4 *
Area of Triangles and Trapezoids 11.5 *
Circles and Circumference 6.9 * |
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12
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Apply
formulas to determine the areas of rectangles, triangles,
parallelograms, trapezoids, and circles.
Develop and
use formulas to determine the circumference of circles.
Find or
estimate area of irregular and complex shape |
7.4.5 apply
formulas to determine the area of parallelograms, trapezoids,
and circles
7.4.7 find
or estimate the area of irregular and complex shapes |
Area of Circles 11.6 *
Area of Complex Figures 11.7 * |
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13
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Determine
congruence of line segments, angles, and polygon
Classify
triangles by angle, size, and length of sides.
Compare and
classify triangles by angle, size, and length of
sides.
Determine the
measure of an angle of a triangle, given the measures of the
other two angle |
7.3.2
classify triangles by angle, size, and length of sides
7.3.3
determine congruence of line segments, angles, and polygons
7.3.6
termine the measure of an angle of a triangle given the measures
of the other two angles |
Angles 10.1 *
Angle Relationships 10.3 *
Triangles 10.4 * |
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14
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Classify
polygons by properties
Compare and
classify polygons by properties.
Identify the
results of transformations of two-dimensional figures (i.e.,
turns/rotations, flips/reflections, slides/translations). |
7.3.4
classify polygons by properties |
Quadrilaterals 10.5 *
Polygons and Tessellations 10.7 *
Translations 10.8 * |
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15
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Relate
symmetry and congruence to reflections (flips) about a line or
to other transformations
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Reflections 10.9 *
Test |
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16
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Identify and
build a three-dimensional object from a two-dimensional
representation (net) of that object and vice versa.
Apply spatial
reasoning and visualization to solve real-world problems
Use
appropriate tools and methods to draw geometric objects with
specified properties, (e.g., side lengths, and angle measure).
Develop
strategies to determine the surface area and volume of selected
prisms and cylinders. |
7.3.7 apply
spatial reasoning and visualization to solve real-world problems
7.3.1
identify the results of transformations of two -dimensional
figures (i.e., turns/rotations, flips/reflections,
slides/translations)
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Drawing
Three Dimensional Figures 12.1 *
Volume of Rectangular Prism 12.2 * |
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17
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Develop
strategies to determine the surface area and volume of selected
prisms and cylinders. |
7.4.4 select
units of appropriate size and type to measure angles, perimeter,
area, surface area, and volume
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Volume of Cylinders 12.3 *
Surface
Areas of Rectangular Prisms 12.4 *
Surface Areas of Cylinders 12.5 * |
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18
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Chapter 12 Test
Review
Nine Weeks Test |
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Third Nine Weeks |
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19
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Apply number
theory concepts to solve problems (e.g., divisibility, factors,
multiples, composite numbers, prime numbers, prime
factorization, and relatively prime).
Identify
prime and composite numbers up to 50. |
7.1.1
identify prime and composite numbers up to 50 |
Page 554 (Divisibility Patterns)
Prime Factorization 5.1 *
GCF 5.2 *
Simplifying Fractions 5.3 * |
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20
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Represent numbers using a
variety of equivalent forms (i.e., mixed numbers, fractions,
decimals, percents, and integers). |
7.1.3
represent numbers using a variety of equivalent forms (i.e.,
mixed numbers, fractions, decimals, percents, and integers) |
Fractions and Decimals 5.4 *
Fractions and Percents 5.5 *
Percents and Decimals 5.6 * |
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21
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Compare
rational numbers using the appropriate symbol (<, >, and =) |
7.1.4
compare rational numbers using the appropriate symbol (<, >, =) |
LCM 5.7 *
Comparing and Ordering Rational Numbers 5.8
*
Test |
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22
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Estimate the
results of rational number computations in real-world
situations.
Use
estimation strategies to select a reasonable solution to a
computation involving rational numbers.
Compute
efficiently and accurately with whole numbers, fractions, and
decimals.
Select and
use appropriate methods and tools for computing with whole
numbers, fractions, decimals, percents, and integers in problem
solving situations (e.g., mental computation, estimation,
calculators, number line, computers, and paper and pencil).
Understand
the meaning and effects of arithmetic operations with fractions
and decimals. |
7.1.9 use
estimation strategies to select a reasonable solution to a
computation involving rational numbers
7.1.2
compute efficiently and accurately with whole numbers,
fractions, and decimals
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Estimating with Fractions 6.1 *
Page 563 (Mixed and Improper Fractions)
Adding and Subtracting Fractions 6.2 *
Adding and Subtracting Mixed Numbers 6.3 * |
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23
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Compute
efficiently and accurately with whole numbers, fractions, and
decimals.
Understand
and use the inverse relationships of addition and subtraction
and multiplication and division to simplify computations and
solve problems.
Understand
the meaning and effects of arithmetic operations with fractions
and decimals.
Select and
use appropriate methods and tools for computing with whole
numbers, fractions, decimals, percents, and integers in problem
solving situations (e.g., mental computation, estimation,
calculators, number line, computers, and paper and pencil).
Identify the
opposite and the reciprocal of a rational number. |
7.1.2
compute efficiently and accurately with whole numbers,
fractions, and decimals
7.1.5
identify the opposite and the reciprocal of a rational number |
Multiplying Fractions and Mixed Numbers 6.4
*
Solving Equations (Multiplicative Inverse)
6.5 *
Dividing Fractions and Mixed Numbers 6.6 * |
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24
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Use ratios to
represent quantitative relationships
Understand
and use ratios and proportions to represent quantitative
relationships.
Develop
methods for solving problems involving proportions (e.g.,
scaling, and finding equivalent ratios).
Use unit
rates to solve problems (e.g., miles per hour, and words
per minutes).
Solve
problems involving scale factors using ratios and proportions |
7.4.8 solve
problems involving scale factors using ratios and proportions
7.1.12 use
ratios to represent quantitative relationships
7.5.8 use
proportional thinking to make conjectures about results of
experiments and simulations |
Ratios 7.1 *
Rates 7.2 *
Solving Proportions 7.3 *
Scale Drawings 7.4 * |
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25
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Use
appropriate mathematical language to describe similarity and
congruence.
Represent
numbers using a variety of equivalent forms (i.e., mixed
numbers, fractions, decimals, percents, and integers). |
7.3.3
determine congruence of line segments, angles, and polygons |
Similar Figures 10.6 *
Fractions, Decimals, and Percents 7.5 * |
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26
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Connect
percents greater than 100 and percents less than one to
real-world situations
Solve
two-step real-world problems involving percents. |
7.1.6
connect percents greater than 100 and perc ents less than one to
real-world situations
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Percents Greater than 100% Less than 100%
7.6 *
Percent of a Number 7.7, 7.8, and 8.2 *
Percent of Change 8.4 * |
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27
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Sales Tax and Discount 8.5
Sales Tax 8.6 *
Nine Weeks Test |
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Fourth Nine Weeks |
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28
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Generalize
patterns in data represented in tables and graphs.
Extend rate
charts to solve real-world problems
Select a
scatterplot to represent data presented in tabular form.
Create a
scatterplot to represent data presented in a tabular form.
Describe the
relationship between two quantities represented in a scatterplot.
Interpret
graphs which represent rates of change
Determine the
probability for an outcome in an experiment.
Connect the
symbolic representation of a probability to an experiment.
Construct a
tree diagram to determine all possible outcomes of a simple
event
Use a tree
diagram or make an organized list to determine all possible
outcomes of a simple compound event. |
7.5.7
connect data sets and their graphical representation (i.e., bar
graphs, stem-and-leaf plots, box plots, and scatter plots )
7.5.6 use a
tree diagram or organized list to determine all possible
outcomes of a simple compound event
7.5.9
connect the symbolic representation of a probability to an
experiment
7.2.10
select the scatter plot that represents the data in tabular form
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Simple Events 9.1 *
Tree Diagram 9.2 *
Counting Principle 9.3 *
Theoretical and Experimental Probability
9.6 *
Making Predictions 2.2 *
Using Statistics to Predict 8.3 * |
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29
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Determine the mean for a
data set.
Determine the median for
a data set.
Formulate questions,
design studies, and collect real-world data
Construct, interpret, and
use multiple-bar graphs, multiple-line graphs, and circle graphs
displaying real-world data.
Interpret circle graphs
displaying real-world data.
Interpret bar and line
graphs to answer questions and solve real-world problems.
Find, use, and interpret
measures of center and spread (e.g., mean, interquartile range).
Make conjectures and
predictions based on data.
Connect data sets and
their graphical representations (i.e., bar graphs, stem-and-leaf
plots, box plots, and scatterplots).
Discuss and understand
the relationship between data sets and their graphical
representations (e.g., bar graphs, line graphs, circle graphs,
histograms, stem-and-leaf plots, box plots, and scatterplots).
Make conjectures to
formulate new questions for future studies.
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7.5.1
interpret bar and line graphs to answer questions and solve
real-world problems
7.5.2
interpret circle graphs displaying real-world data
7.5.3
determine the me an for a data set
7.5.4
determine the median for a data set
7.5.7
connect data sets and their graphical representation (i.e., bar
graphs, stem-and-leaf plots, box plots, and scatter plots ) |
Mean, Median, and Mode 2.4 *
Stem-and-Leaf Plots 2.5 *
Box-and –Whisker Plots (Identity only) 2.6
*
Bar Graphs and Histograms 2.7 *
Making Circle Graphs 10.2 * |
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30
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Recognize
misleading representations of data
Make
conjectures and predictions based on data. |
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Misleading Statistics 2.8 *
Review |
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31
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T-CAP Week |
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32
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7.2.7 solve
one-step linear equations |
Functions and Linear Equations 4.6 *
Lines and Slope 4.7 * |
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33
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7.5.9
connect the symbolic representation of a probability to an
experiment |
Permutations 9.4 *
Combinations 9.5 *
Independent and Dependent Events 9.7 *
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34
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Make
conjectures and predictions based on data. |
7.5.9
connect the symbolic representation of a probability to an
experiment |
Frequency Tables 2.1 *
Making Predictions 2.2 *
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35
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Teacher Directed |
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36
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Teacher Directed |
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