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Algebra 1c Power Standards
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The student will be able to find the vertex, line of symmetry, and intercepts of a
parabola.
The student will identify and understand the concept of asymptote.
The student will understand how transformations affect a graph.
The student will be able to solve linear and quadratic functions.
The student will be able to graph linear, quadratic, and exponential functions.
The student will be able to graph common non-linear equations.
The student will be able to add, subtract, and multiply polynomials.
The student will be able to solve a system of equations involving two equations.
Eighth Grade Algebra Power Standards
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The student will compare numbers (integers, radicals, rational)
The student will use graphs (scatterplots, box-and whiskers, stem and leaf, and histograms)
to compare data.
The student will use proportions to solve problems.
The student will be able to find and interpret slope.
The student will solve equations with one or more variables.
The student will write and graph equations in slope-intercept form, point-slope form,
standard form, and function notation.
The student will use the order of operations to solve problems
The student will understand the rules of algebra (distributive, commutative, associative)
The student will translate between verbal descriptions, tables, and graphs.
The student will know the rules of exponents.
The student will be bale to find the vertex, line of symmetry, and intercepts of a
parabola.
The student will identify and understand the concept of asymptote.
The student will understand how transformations affect a graph.
The student will be able to solve linear and quadratic functions.
The student will be able to graph linear, quadratic, and exponential functions.
The student will be able to graph common non-linear equations.
The student will be able to add, subtract, and multiply polynomials.
The student will be able to solve a system of equations involving two equations.
Power Standards Algebra II
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Students will understand and apply mathematical concepts and procedures:
o Use function notation and vocabulary to evaluate and describe characteristics of functions.
o Use multiple methods to solve absolute value and radical functions.
o Model, solve, and graph linear, non-linear and systems of equations/inequalities.
o Construct and describe new functions using transformations of a parent function.
o Use multiple methods to model, solve and identify key features of quadratic functions.
o Model and solve exponential and logarithmic functions.
o Model, solve, identify characteristics and describe graphs of polynomial functions of higher
degree.
o Simplify and solve rational expressions and equations.
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Student will use mathematics to define and solve problems:
o Analyze problems and represent them mathematically.
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Students will use and apply mathematical reasoning:
o Evaluate a solution for reasonableness, verify its accuracy and interpret the solution in the
context of the problem.
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Students will communicate knowledge and understanding in both everyday and mathematical
language.
o Summarize mathematical ideas with precision, efficiency, and accuracy.
o Read and interpret diagrams, graphs, and text related to mathematical situations.
GEOMETRY POWER STANDARDS
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Students are able to apply inductive reasoning to form conjectures and deductive reasoning to
prove conjectures.
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Students know and are able to prove and apply conjectures about perpendicular and parallel
lines and angles, including parallel lines cut by a transversal.
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Students are able to identify triangle congruence and similarity and the conjectures pertaining
to these areas.
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Students know and are able to apply the Pythagorean Theorem, knowledge of special right
triangles (45-45-90, 30-60-90) and the basic trig functions (sin, cos, and tan) to problems
involving right triangles.
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Students know side, angle, diagonal, and lines of symmetry properties of quadrilaterals
(parallelograms, rectangles, trapezoids, rhombus, and squares).
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Students know and are able to apply concepts in a coordinate plane such as slope of a line,
slopes of parallel lines, slopes of perpendicular lines, midpoint of a segment, and distance
between two points.
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Students can identify and apply transformations including: rotations, reflections, translations,
and dilations.
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Students are able to apply formulas for surface area and volume of three-dimensional figures
(prisms, cylinders, pyramids, cones, and spheres) and understand the effect on volume and
surface area when one or more linear dimensions change.
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Students will be able to draw accurate representations of planar figures, and are able to
perform basic constructions including perpendicular bisector and angle bisector.
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Students will be able to identify parts of a circle and the various properties of a circle.
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Students will know the basic terminology involved in geometry.
MCA REMEDIAL POWER STANDARDS
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The student will be able to apply the Pythagorean Theorem to solve problems involving
right triangles.
The student will be able to apply the trigonometric functions (sin, cosine, tangent) to
solve problems involving right triangles.
The student will be able to graph, write, and solve equations in slope-intercept form.
The student will be able to use the area and volume equations in order to solve are and
volume problems involving two steps.
The student will be able to calculate simple and multi-step probabilities.
The students will be able to verify solutions to equations and systems of equations.
The students will be able to find the mid-point and distance of a line.
The students will be able to apply the formulas given on the MCA Math formula sheet.
PRE-CALCULUS POWER STANDARDS
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Students will understand and apply mathematical concepts and procedures:
o Use function notation and vocabulary to evaluate and describe characteristics of functions.
o Use multiple methods to model and solve absolute value, quadratic and radical functions.
o Model, solve, and graph linear, non-linear and systems of equations/inequalities.
o Construct and describe new functions using transformations of a parent function.
o Model and solve exponential and logarithmic functions.
o Model, solve, identify characteristics and describe graphs of polynomial functions of higher
degree.
o Simplify and solve rational expressions and equations.
o Use multiple methods to model, solve and identify key features of Trigonometric functions.
o Use multiple methods to model and solve of Trigonometric equations.
o Verify and identify Trigonometric Identities.
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Student will use mathematics to define and solve problems:
o Analyze problems and represent them mathematically.
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Students will use and apply mathematical reasoning:
o Evaluate a solution for reasonableness, verify its accuracy and interpret the solution in the
context of the problem.
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Students will communicate knowledge and understanding in both everyday and mathematical
language.
o Summarize mathematical ideas with precision, efficiency, and accuracy.
o Read and interpret diagrams, graphs, and text related to mathematical situations.
PROBABILITY AND STATISTICS POWER STANDARDS
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The student will describe data using box-and whisker plots, stem-and-leaf plots,
histograms, and scatter plots.
The student will describe data using mean, median, mode, standard deviation, range,
and quartiles.
The student will show how to successfully display data and understand how data and
graphs can be misleading.
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The student will design simple experiments and explain the impact of sampling methods and
bias.
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The student will calculate probabilities using tree diagrams, counting principles,
permutations, and combinations.
The student will use simulations to predict probabilities.
The student will use Venn diagrams to describe unions, intersections, independence,
compliments of an event, and conditional probabilities.