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Ratios, Proportions and Percents

Write a comparison of two numbers as a ratio,
write a ratio as a fraction, decimal numeral or
unit ratio, solve a proportion, recognize/set up/
solve direct and indirect proportion applications,
convert among fractions, decimals and percents
and solve rate/base/percentage problems

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Units of Measure

Identify significant digits, identify which of two
numbers is more accurate or precise, round
numbers to the accuracy or precision required
and use dimensional analysis

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Signed Numbers

Use rules of operations on signed numbers, find
powers/roots of signed numbers and use order
of operation

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Powers of Ten and Scientific Notation

Convert to/from scientific notation, multiply/
divide powers of ten and numbers in scientific
notation

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Algebraic Operations

Recognize/add/subtract like terms, multiply/
divide monomials and use the distributive law

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Algebraic Equations and Formulas

Solve and check linear equations, including those
containing grouping symbols and fractions and
evaluate/solve formulas

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Systems of Equations

Solve systems of equations in two variables by
substitution/addition

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Use of Angles

Identify/draw acute, obtuse, right, straight,
vertical, complementary, supplementary,
alternate interior, alternate exterior and
corresponding angles, convert between degreeminutes
rees-tenths, add/subtract measures of
angles and solve angle problems

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Triangles

Identify/draw acute, obtuse, isosceles, equilateral
and right triangles, use Pythagorean theorem to
solve a right triangle, find perimeter/area of a
triangle and solve similar triangle problems

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Circles and Polygons

Identify squares, rectangles, parallelograms and
trapezoids, find perimeter/area of a quadrilateral,
identify regular pentagons, hexagons and
octagons, find perimeter/area of regular polygons,
identify diameter, radius, circumference and arc
of a circle and find circumference, area, arc length
and area

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Geometric Solids

Identify prisms, cylinders, pyramids, cones
and spheres, identify critical characteristics of
geometric solids and find surface area/volume of
geometric solids

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Basic Trig Properties for Sin, Cos and Tan

Write trig ratios for angles in a right triangle,
solve right triangle problems, find trig ratios
for angles in standard position, use a hand-held
calculator to find angles and function values and
use Laws of Sines and Cosines

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Vectors

Sketch vectors and convert between polar
operator forms

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Finance

Calculate costs and analyze data, solve simple and
compound interest problems, sketch/read line,
bar, circle and coordinate plane graphs and use
graphs to interpret data

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Logs

Define log and use properties of logs to
manipulate/solve equations

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Statistics

Define/use mean, median, mode and standard
deviation, use a normal distribution to find
probabilities and sketch/read/interpret graphs