Classifying Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.
Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms...
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Transcript of Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms...
![Page 1: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/1.jpg)
Number, operation and quantitative reasoning
8.1A compare and order rational
numbers in various forms
including integers, percents,
and positive and negative
fractions and decimals
![Page 2: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/2.jpg)
Number, operation and quantitative reasoning
8.1B select and use appropriate
forms of rational numbers to
solve real-life problems
including those involving
proportional relationships
![Page 3: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/3.jpg)
Number, operation and quantitative reasoning
8.1C approximate (mentally and
with calculators) the value of
irrational numbers as they
arise from problem
situations (such as π, ).
![Page 4: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/4.jpg)
Number, operation and quantitative reasoning
8.1D express numbers in
scientific notation, including
negative exponents, in
appropriate problem
situations
![Page 5: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/5.jpg)
Number, operation and quantitative reasoning
8.1E compare and order real
numbers with a calculator
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Number, operation and quantitative reasoning
8.2A select appropriate
operations to solve problems
involving rational numbers
and justify the selections
![Page 7: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/7.jpg)
Number, operation and quantitative reasoning
8.2B use appropriate operations
to solve problems involving
rational numbers in problem
situations
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Number, operation and quantitative reasoning
8.2C evaluate a solution for
reasonableness
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Number, operation and quantitative reasoning
8.2D use multiplication by a constant
factor (including unit rate) to
represent and solve problems
involving proportional
relationships including
conversions between
measurement system
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Patterns, relationships, and algebraic thinking
8.3A compare and contrast
proportional and non-
proportional relationships
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Patterns, relationships, and algebraic thinking
8.3B estimate and find solutions
to application problems
involving percents and other
proportional relationships
such as similarity and rates
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Patterns, relationships, and algebraic thinking
8.4 the student is expected to
generate a different
representation of data given
another representation of data
(such as table, graph,
equation, or verbal description)
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Patterns, relationships, and algebraic thinking
8.5A predict, find, and justify
solutions to application
problems using appropriate
tables, graphs, and algebraic
equations
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Patterns, relationships, and algebraic thinking
8.5B find and evaluate and
algebraic expression to
determine any term in an
arithmetic sequence (with a
constant rate of change)
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Geometry and spatial reasoning
8.6A generate similar shapes
using dilations including
enlargements and
reductions
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Geometry and spatial reasoning
8.6B graph dilation, reflections,
and translations on a
coordinate plane
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Geometry and spatial reasoning
8.7A draw three-dimensional
figures from different
perspectives
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Geometry and spatial reasoning
8.7B use geometric concepts and
properties to solve problems
in fields such as art and
architecture
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Geometry and spatial reasoning
8.7C use pictures or models to
demonstrate the
Pythagorean Theorem
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Geometry and spatial reasoning
8.7D locate and name points on a
coordinate plane using
ordered pairs of rational
numbers
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Measurement
8.8A find lateral and total surface
area of prisms, pyramids,
and cylinders using concrete
models and nets (two-
dimensional models)
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Measurement
8.8B connect models of prisms,
cylinders, pyramids,
spheres, and cones to
formulas for volume of these
objects
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Measurement
8.8C estimate measurements
and use formulas to solve
application problems
involving lateral and total
surface area
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Measurement
8.9A use the Pythagorean
Theorem to solve real-life
problems
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Measurement
8.9B use proportional relationships
in similar two-dimensional
figures or similar three-
dimensional figures to find
missing measurements
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Measurement
8.10A describe the resulting
effects on perimeter and
area when dimensions of a
shape are changed
proportionally
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Measurement
8.10B describe the resulting effect
on volume when dimensions
of a solid are changed
proportionally
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Probability and statistics
8.11A find the probabilities of
dependent and independent
events
![Page 29: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/29.jpg)
Probability and statistics
8.11Buse theoretical probabilities
and experimental results to
make predictions and
decisions
![Page 30: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/30.jpg)
Probability and statistics
8.11Cselect and use different
models to simulate an event
![Page 31: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/31.jpg)
Probability and statistics
8.12A use variability (range, including
inter quartile range (IQR)) and
select the appropriate measure
of central tendency to describe
a set of data and justify the
choice for a particular situation
![Page 32: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/32.jpg)
Probability and statistics
8.12Bdraw conclusions and make
predictions by analyzing
trends in scatter plots
![Page 33: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/33.jpg)
Probability and statistics
8.12C select and use an appropriate
representation for presenting and
displaying relationships among collected
data, including line plots, line graphs, stem
and leaf plots, circle graphs, bar graphs,
box and whisker plots, histograms, and
Venn diagrams, with and without the use
of technology
![Page 34: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/34.jpg)
Probability and statistics
8.13Aevaluate methods of
sampling to determine
validity of an inference
made from a set of data
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Probability and statistics
8.13Brecognize misuses of
graphical or numerical
information and evaluate
predictions and conclusions
based on data analysis
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Underlying processes and mathematical tools
8.14A identify and apply mathematics
to everyday experiences, to
activities in and outside of
school, with other disciplines,
and with other mathematical
topics
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Underlying processes and mathematical tools
8.14B use a problem-solving model
that incorporates
understanding the problem,
making a plan, carrying out the
plan, and evaluating the
solution for reasonableness
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Underlying processes and mathematical tools
8.14C select or develop an appropriate
problem-solving strategy from a variety
of different types, including drawing a
picture, looking for a pattern, systematic
guessing and checking, acting it out,
making a table, working a simpler
problem, or working backwards to solve a
problem
![Page 39: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/39.jpg)
Underlying processes and mathematical tools
8.14D select tools such as real
objects, manipulatives,
paper/pencil, and technology
or technique such as mental
math, estimation, and number
sense to solve problems
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Underlying processes and mathematical tools
8.15A communicate mathematical
ideas using language, efficient
tools, appropriate units, and
graphical, numerical, physical,
or algebraic mathematical
models
![Page 41: Number, operation and quantitative reasoning 8.1Acompare and order rational numbers in various forms including integers, percents, and positive and negative.](https://reader030.fdocuments.in/reader030/viewer/2022032708/56649e915503460f94b9708a/html5/thumbnails/41.jpg)
Underlying processes and mathematical tools
8.15Bevaluate the effectiveness of
different representations to
communicate ideas
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Underlying processes and mathematical tools
8.16Amake conjectures from
patterns or sets of examples
and non-examples
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Underlying processes and mathematical tools
8.16Bvalidate his/her conclusions
using mathematical
properties and relationships