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10.NNR
Number and Number Relations
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10.1
Simplify and determine the value of radical expressions
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10.2
Predict the effect of operations on real numbers (e.g., the quotient of a positive number divided by a positive number less than 1 is greater than the original dividend)
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10.3
Define sine, cosine, and tangent in ratio form and calculate them using technology
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10.4
Use ratios and proportional reasoning to solve a variety of real-life problems including similar figures and scale drawings
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10.ALG
Algebra
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10.5
Write the equation of a line of best fit for a set of 2-variable real-life data presented in table or scatter plot form, with or without technology
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10.6
Write the equation of a line parallel or perpendicular to a given line through a specific point
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10.MEA
Measurement
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10.7
Find volume and surface area of pyramids, spheres, and cones
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10.8
Model and use trigonometric ratios to solve problems involving right triangles
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10.GEO
Geometry
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10.9
Construct 2- and 3-dimensional figures when given the name, description, or attributes, with and without technology
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10.1
Form and test conjectures concerning geometric relationships including lines, angles, and polygons (i.e., triangles, quadrilaterals, and n-gons), with and without technology
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10.11
Determine angle measurements using the properties of parallel, perpendicular, and intersecting lines in a plane
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10.12
Apply the Pythagorean theorem in both abstract and real-life settings
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10.13
Solve problems and determine measurements involving chords, radii, arcs, angles, secants, and tangents of a circle
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10.14
Develop and apply coordinate rules for translations and reflections of geometric figures
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10.15
Draw or use other methods, including technology, to illustrate dilations of geometric figures
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10.16
Represent and solve problems involving distance on a number line or in the plane
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10.17
Compare and contrast inductive and deductive reasoning approaches to justify conjectures and solve problems
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10.18
Determine angle measures and side lengths of right and similar triangles using trigonometric ratios and properties of similarity, including congruence
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10.19
Develop formal and informal proofs (e.g., Pythagorean theorem, flow charts, paragraphs)
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10.DAPDM
Data Analysis, Probability, and Discrete Math
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10.2
Show or justify the correlation (match) between a linear or non-linear data set and a graph
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10.21
Determine the probability of conditional and multiple events, including mutually and non-mutually exclusive events
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10.22
Interpret and summarize a set of experimental data presented in a table, bar graph, line graph, scatter plot, matrix, or circle graph
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10.23
Draw and justify conclusions based on the use of logic (e.g., conditional statements, converse, inverse, contrapositive)
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10.24
Use counting procedures and techniques to solve real-life problems
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10.25
Use discrete math to model real life situations (e.g., fair games, elections)
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10.PRF
Patterns, Relations, and Functions
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10.26
Generalize and represent patterns symbolically, with and without technology
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10.27
Translate among tabular, graphical, and symbolic representations of patterns in real-life situations, with and without technology
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