Download COSMETOLOGY MATH - Van Buren Intermediate School District

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ALGEBRA 1
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L1.1
L1.1.3
L1.1.4
L1.2.4
L2.1.5
L2.1.6
L3.1.2
A1.1.1
A1.2.1
A2.2.2
A2.2.3
A2.7.2
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Number Systems and Number Sense
Explain how the properties of associativity, commutativity,
and distributivity, as well as identity and inverse elements,
are used in arithmetic and algebraic calculations.
Describe the reasons for the different effects of
multiplication by, or exponentiation of, a positive number
less than 0, a number between 0 and 1, and a number
greater than 1.
Organize and summarize a data set in a table, plot, chart, or
spreadsheet; find patterns in a display of data; understand
and critique data displays in the media.
Add, subtract, and multiply complex numbers. Use
conjugates to simplify quotients of complex numbers.
Recognize when exact answers aren’t always possible or
practical. Use appropriate algorithms to approximate
solutions to equations (e.g., to approximate square roots).
Describe and interpret logarithmic relationships in such
contexts as the Richter scale, the pH scale, or decibel
measurements (e.g., explain why a small change in the scale
can represent a large change in intensity). Solve applied
problems.
Give a verbal description of an expression that is presented
in symbolic form, write an algebraic expression from a
verbal description, and evaluate expressions given
values of the variables.
Write and solve equations and inequalities with one or two
variables to represent mathematical or applied situations.
Apply given transformations (e.g., vertical or horizontal
shifts, stretching or shrinking, or reflections about the xand y-axes) to basic functions and represent symbolically.
Recognize whether a function (given in tabular or graphical
form) has an inverse and recognize simple inverse pairs
(e.g., f (x) = x3 and g(x) = x1/3).
Express direct and inverse relationships as functions (e.g., y
= kxn and y = kx-n, n > 0) and recognize their characteristics
(e.g., in y = x3, note that doubling x results in multiplying y
by a factor of 8).
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Cost comparisons – break point
GEOMETRY
J:\OFFICE\SVernon\SusanW\HSCE Web Files\VAN BUREN MATH HIGH SCHOOL CONTENT STANDARDS\COSMETOLOGY MATH.doc
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L3.1.1
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Convert units of measurement within and between systems;
explain how arithmetic operations on measurements affect
units, and carry units through calculations correctly.
Differentiate between statistical arguments (statements
verified empirically using examples or data) and logical
arguments based on the rules of logic.
Solve multistep problems and construct proofs involving
vertical angles, linear pairs of angles, supplementary angles,
complementary angles, and right angles.
Solve multistep problems and construct proofs involving
corresponding angles, alternate interior angles, alternate
exterior angles, and same-side (consecutive) interior angles.
Prove that the angle sum of a triangle is 180° and that an
exterior angle of a triangle is the sum of the two remote
interior angles.
Construct and justify arguments and solve multistep
problems involving angle measure, side length, perimeter,
and area of all types of triangles.
Solve multistep problems involving circumference and area
of circles.
Solve multistep problems involving surface area and
volume of pyramids, prisms, cones, cylinders, hemispheres,
and spheres.
Identify symmetries of pyramids, prisms, cones, cylinders,
hemispheres, and spheres.
Identify or sketch a possible three-dimensional figure, given
two-dimensional views (e.g., nets, multiple views). Create a
two-dimensional representation of a three-dimensional
figure.
Identify or sketch cross sections of three-dimensional
figures. Identify or sketch solids formed by revolving twodimensional figures around lines.
Know the definition of dilation and find the image of a
figure under a given dilation.
L4.1.2
G1.1.1
G1.1.2
G1.2.1
G1.2.2
G1.6.1
G1.8.1
G1.8.2
G2.2.1
G2.2.2
G3.2.1
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ALGEBRA II
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L3.2.1
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Determine what degree of accuracy is reasonable for
measurements in a given situation; express accuracy
through use of significant digits, error tolerance, or percent
of error; describe how errors in measurements are
magnified by computation; recognize accumulated error in
applied situations.
J:\OFFICE\SVernon\SusanW\HSCE Web Files\VAN BUREN MATH HIGH SCHOOL CONTENT STANDARDS\COSMETOLOGY MATH.doc
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ALGEBRA II (Continued)
Identify possible sources of bias in data collection and
sampling methods and simple experiments; describe how
such bias can be reduced and controlled by random
sampling; explain the impact of such bias on conclusions
made from analysis of the data; and know the effect of
replication on the precision of estimates.
Distinguish between an observational study and an
experimental study, and identify, in context, the conclusions
that can be drawn from each.
Design simple experiments or investigations to collect data
to answer questions of interest; interpret and present
results. (Recommended)
Understand methods of sampling, including random
sampling, stratified sampling, and convenience samples,
and be able to determine, in context, the advantages and
disadvantages of each. (Recommended)
Explain the basic ideas of statistical process control,
including recording data from a process over time.
(Recommended)
S3.1.2
S3.1.3
S3.1.4*
S3.1.5*
S3.2.1*
OTHER MATH
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A.FO. 06.06
G.GS. 06.01
N.MR. 06.01
N.ME. 06.11
N.FL. 06.12
N.MR. 06.13
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Represent information given in words using algebraic
expressions and equations.
Understanding and apply basic properties of lines, angles,
and triangles, including:
•triangle inequality
•relationships of vertical angles, complementary angles,
supplementary angles
•congruency of corresponding and alternate interior angles
when parallel lines are cut by a transversal, and that such
congruencies imply parallel lines
•locate interior and exterior angles of any triangle, and use
the property that an exterior angle of a triangle is equal to
the sum of the remote (opposite) interior angles
•know that the sum of the exterior angles of a convex
polygon is 360°
Understand division of fractions as the inverse of
multiplication, e.g., if 4/5 ÷ 2/3 = , the 2/3 •
= 4/5, so
= 4/5 • 3/2 = 12/10.
Find equivalent ratios by scaling up or scaling down.
Calculate part of a number given the percentage and the
number.
Solve contextual problems involving percentages such as
sales taxes and tips.*
J:\OFFICE\SVernon\SusanW\HSCE Web Files\VAN BUREN MATH HIGH SCHOOL CONTENT STANDARDS\COSMETOLOGY MATH.doc
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A.PA. 07.11
N.MR. 07.04
N.FL. 07.05
N.FL. 07.09
G.SR. 07.01
G.TR. 07.03
G.TR. 07.04
N.MR. 08.07
N.MR. 08.08
N.FL. 08.11
OTHER MATH (Continued)
Understand and use basic properties of real numbers;
additive and multiplicative identifies additive and
multiplicative inverses, commutativity, associativity, and
the distributive property of multiplication over addition.
Convert ratio quantities between different systems of units,
such as feet per second to miles per hour.
Solve proportion problems using such methods as unit rte,
scaling, finding equivalent fractions, and solving the
proportion equation a/b = c/d; know how to see patterns
about proportional situations in tables.*
Estimate results of computations with rational numbers.
Use a ruler and other tools to draw squares, rectangles,
triangles, and parallelograms with specified dimensions.
Understand that in similar polygons, corresponding angles
are congruent and the ratios of corresponding sides are
equal; understand the concepts of similar figures and scale
factor.
Solve problems about similar figures and scale drawings.
Understand percent increase and percent decrease in both
sum and product form, e.g., 3% increase of a quantity x is x
+ .03x = 1.03x.
Solve problems involving percent increases and decreases.
Solve problems involving ratio units, such as miles per
hour, dollars per pound, or persons per square mile.*
Scale drawings of business plan
Scale model salon
Business Math
Business Math
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