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CASA Mathematics Blueprint
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How do I use this document?
This document contains the blueprint e.g. guidelines for the types of problems that will be on the Mathematics test in
the Core Academic Skills Assessment (CASA) teacher preparation exam.


The blueprint is broken down into 2 domains.
Each domain has 2 standards and each standard has multiple parts.
o Domain I – Numbers and Algebra
 Number and Quantity (Standard 9)
 Algebra and Functions (Standard 10)
o Domain II – Geometry and Statistics
 Measurement and Geometry (Standard 11)
 Statistics and Probability (Standard 12)
There is a table for each domain that details the standard and its parts. The second column unpacks each of the
standards and provides additional resources online to learn, review, and/or practice a concept and/or problem solving
methodology.
To get the most out of this document, review each of the standards and ask yourself,
? Do I understand what this is saying?
? Can I solve a problem pertaining to this standard?
If the answer is no to either question, review the information underneath “Unpacking the Standards” next to the
standard. If additional help is needed, be sure to consult a tutor in the CRC.
Introducing the Mathematics Portion of the CASA
For the Mathematics test in the CASA, the following domains and standards are covered:
Domain I – Numbers and Algebra
0005
0006
Number and Quantity (Standard 9)
Algebra and Functions (Standard 10)
CASA Mathematics Blueprint
Standards
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Unpacking the Standards
Standard 9: Number and Quantity
Indiana educators demonstrate knowledge of number systems, number representations, number operations, and
basic number theory, including:
9.1. Recognize,
What are the different number types?
convert among,
Explanation:
Classifying numbers
and order
Video:
https://www.youtube.com/watch?v=9orS7coe2WI
various
Instagrok
Classify a number
representations
search:
of rational
numbers (e.g.,
How do you convert from a fraction to a decimal?
integers,
Explanation: http://cstl.syr.edu/fipse/decunit/convert/convert.htm
fractions,
Video:
Converting between a fraction and a decimal
decimals,
Dogpile
Dogpile results for “converting fraction to a decimal)
powers).
search:
9.2.
9.3.
9.4.
1
Represent
rational and
irrational
numbers on
number lines
and coordinate
axes.
Compute
fluently with
rational
numbers,
including
applying order
of operations.
Solve multistep
problems and
estimate
solutions to
problems using
a variety of
number
representations.
How do you represent irrational and rational numbers on a number line?
blekko
Represent irrational numbers on a number line
search
How do you represent irrational and rational numbers on a coordinate axes?
Ecosia
Draw irrational and rational numbers
search
What is order of operations?
Gigablast Order of operations
search
Where are practice problems on order of operations?
mamma1
Practice problems on order of operations
search
What are different ways that I can solve multi-step equations?
Khan
https://www.khanacademy.org/math/algebra/solving-linearAcademy equations-and-inequalities/complicated_equations/v/ex-2-multi-stepequation
How would I use estimation to solve a problem?
Ecosia
Use estimation to solve a problem.
search
Why I love mamma? Mamma simultaneously searches the major search engines, analyzes the results, set the terms in the correct
syntax and format and last but never least, and organizes the results in a uniform retrieval set based on relevancy and score.
CASA Mathematics Blueprint
Standards
Unpacking the Standards
9.5.
What is a factor?
Bing
search
9.6.
9.7.
Find common
factors and
multiples of
multidigit
numbers.
Recognize and
represent ratio
concepts (e.g.,
proportions,
unit rates,
percents).
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Mathematics what is a factor
How do I find the least common denominator?
Using prime
Explanation: Using prime factorization
factorization
Video: Using prime factorization
Spark Notes: Additional information
What is a multiple?
“Math is
fun”
website
What is a ratio?
mamma
search
http://www.mathsisfun.com/definitions/multiple.html
What is a ratio
What is a proportion?
mamma
What is a proportion
search
How does a ratio compare to a proportion as well as to a percent?
Google
Ratio versus a percent versus a proportion
Where can I find word (story) problems about ratio concepts and proportional reasoning?
Google
Practice problems ratio
search
Practice problems proportional reasoning
Apply ratio
concepts and
proportional
reasoning to
solve
What different methods can I use to solve word problems?
mathematical
Dogpile
Different method for solving word problems
and real-word
search
problems.
Standard 10: Algebra and Functions
Indiana educators demonstrate knowledge of mathematical expressions, basic algebraic techniques, and the use of
equations and inequalities to model and solve problems, including:
10.1. Apply
What is combining like terms?
properties of
Ixquick
https://www.ixquick.com/do/search
arithmetic to
Type in the phrase “combine like terms”.
algebraic
expressions.
How do I simplify an algebraic expression?
Apocalx
Simplify an algebraic expression
What are the algebraic properties?
Carrot2
Algebraic properties
CASA Mathematics Blueprint
Standards
10.2. Solve onevariable
equations and
inequalities.
10.3. Evaluate
algebraic
expression or a
given value of a
variable.
10.4. Recognize
equivalent
versions of
algebraic
expressions.
10.5. Recognize the
difference
between an
independent
and dependent
variable.
10.6. Analyze and
solve linear
equations and
systems of
equations.
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Unpacking the Standards
What are different strategies for solving one variable equations and inequalities?
Devil Finder2 Solve one variable equations and inequalities
How do I evaluate an algebraic expression?
eLocalFinder Evaluate an algebraic expression
How do I evaluate an algebraic expression?
Goofram3
Recognize equivalent versions of algebraic expressions
What is an independent variable?
Zoo
What is an independent variable
What is a dependent variable?
Zoo
What is a dependent variable
What is a linear equation?
iBoogie
What is a linear equation
What are the different equations of a line?
Info.com
What are the different equations of a line
How would I solve a linear equation?
iSeek4
How would I solve a linear equation
10.7. Using variables
and algebraic
expressions to
model and solve
real-world
problems.
2
What are the different ways to solve a system of two equations?
 Graphing
 Elimination
 Substitution
iSeek
What are different ways to solve a system of linear equations
Where are practice word (story) problems involving solving algebraic expressions?
Monster
Practice word problems solving algebraic expressions
Crawler
Warning! The search button does say “Send me to hell!” However, the search results are on point.
Goofram is a metasearch engine based on Google and Wolfram Alpha.
4
If you are ever doing a research paper, iSeek is one of the ultimate search engines to use!!!
3
CASA Mathematics Blueprint
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Domain II – Geometry and Statistics
0007
0008
Measurement and Geometry (Standard 11)
Statistics and Probability (Standard 12)
Standards
Unpacking the Standards
Standard 11: Measurement and Geometry Indiana educators demonstrate knowledge of principles and procedures
of measurement, basic properties of two- and three-dimensional figures, and reasoning in geometry, including:
11.1. Solve
How is area calculated?
mathematical
PolyMeta
Mathematics calculate the area of a shape
and real-world
problems
How is surface area calculated?
involving area,
Qrobe.it5
How do I calculate surface area
surface area,
and volume of
How would I calculate the volume?
two- and threeSearch.com
Calculate the volume of a 2d figure
dimensional
figures.
11.2. Recognize and
How do I draw a polygon on the coordinate plane?
represent
Searches
Recognize and represent polygons on a coordinate plane
polygons on a
coordinate
plane.
11.3. Solve problems
Where are practice problems on solving problems involving scale drawings?
involving scale
Look Smart
Practice problems scale drawings
drawings.
11.4. Apply the
Where can I find practice problems on applying the formulas for the circumference and
formulas for the area of a circle?
circumference
Webcrawler Apply the formulas for the circumference and area of a circle
and area of a
circle.
11.5. Use facts about
What are the different types of angles and what do they look like?
complementary,
zapmeta
What are the different types of geometric angles
supplementary,
vertical and
adjacent angles
to solve
multistep
problems.
11.6. Apply the
What is the concept of similarity?
concepts of
infospace
What is the concept of similarity geometry
similarity and
congruence.
What is the concept of congruence?
infospace
What is the concept of congruence geometry
Where are practice problems involving similarity and congruence?
5
qrobe.it will proffer different search terms as you type.
CASA Mathematics Blueprint
Standards
11.7. Apply the
Pythagorean
Theorem.
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Unpacking the Standards
infospace
Practice problems similarity and congruence geometry
What is the Pythagorean Theorem?
infospace
What is the Pythagorean Theorem
What are some practice problems using the Pythagorean Theorem?
infospace
Practice problems Pythagorean theorem
Standard 12: Statistics and Probability Indiana educators demonstrate knowledge of collection, presentation, and
interpretation of data, and of the fundamental properties of probability, including:
12.1. Display and
What are different types of graphs?
interpret data
Zeekly
What are different types of graphs
presented in a
variety of
formats (e.g. dot
plots,
histograms,
circle graphs).
12.2. Use and
What is the mean, median and mode?
interpret
iBoogie
What is mean median mode
measures of
center (e.g.
What is a good method for calculating the mean, median and mode for a frequency
mean, median,
distribution?
mode) and
Findelio 6
Frequency distribution mean median mode
spread (e.g.
standard
What is the standard deviation and how do you calculate it by hand?
deviation,
mamma
Calculate standard deviation
interquartile
search
range, outliers)
in context.
What is an interquartile range?
mamma
Interquartile range
search
12.3. Use random
sampling to
draw inferences
about
populations.
12.4. Make inferences
about
populations that
are based on
comparisons of
6
What is an outlier?
mamma
search
What is sampling?
mamma
search
What is an outlier statistics
What is sampling
How do you make inferences about a population given a sample of the population?
Google
How do you make inferences about a sample population
Make inferences based on the . . .
Center
Variability
Hot Bot search
Metacrawler
search
Make inferences based on the center
Make inferences based on variability
Findelio searches multiple search engines e.g. AllTheWeb, Bing, Exalead, and Entireweb and displays a directory listing after a
search query.
CASA Mathematics Blueprint
Standards
center,
variability, and
visual overlap of
distributions.
12.5. Interpret scatter
plots and
estimate lines of
fit for data
involving two
variables.
12.6. Apply
fundamental
properties of
probability to
estimate the
outcomes of
events.
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Unpacking the Standards
Visual overlap of
distributions
Google search
Make inferences based on visual overlap of
distributions
The website http://bmsbrigman.weebly.com/unit-4-inferences.html includes a description
of all of the above items.
What is a scatter plot and how can it be used?
YouTube
What is a scatter plot?
search
What are lines of fit for data involving two variables?
Deeper Web Lines of fit
search
What are the fundamental properties of probability?
QWANT
https://www.qwant.com/?q=fundamental+properties+of+probability
search
How to I calculate the probability of an event occurring?
Khan
https://www.khanacademy.org/math/probability/independentAcademy
dependent-probability/basic_probability/v/basic-probability
What is conditional probability?
Instagrok
What is conditional probability?
search
12.7. Determine
probabilities
using various
representations
(e.g. Venn
diagrams, tree
graphs).
How do you calculate probability involving AND and OR?
Regents
http://www.regentsprep.org/regents/math/algebra/APR8/LProbAO.htm
Prep
Website
What is a Venn diagram?
QWANT
Venn diagrams
search
Given a Venn diagram, how to I calculate the probability of an event occurring?
Yandex
Use a Venn diagram to find the probability
search
What is a tree diagram/graph?
Google
What is a tree graph?
search
Given a tree diagram, how to do I calculate the probability of an event occurring?
Video
Khan Academy video on using tree diagrams
In the Mathematics test, approximately 60% of the test will come from Domain 1 (Numbers and Algebra) and 40% of the
test will come from Domain II (Geometry and Statistics).
CASA Mathematics Blueprint
Interesting websites . . .
http://www.zanran.com/q/
http://www.nationmaster.com/
http://l-lists.com/en/lists/e34z3f.html
Search the web for data and statistics
Compare countries on anything
List of metasearch engines
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