1: Simplify and determine the value of radical expressions
Operations with Radical Expressions
Simplifying Radical Expressions
3: Define sine, cosine, and tangent in ratio form and calculate them using technology
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
4: Use ratios and proportional reasoning to solve a variety of real-life problems including similar figures and scale drawings
Beam to Moon (Ratios and Proportions)
Dilations
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Similar Figures
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
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
7: Find volume and surface area of pyramids, spheres, and cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
8: Model and use trigonometric ratios to solve problems involving right triangles
Sine, Cosine, and Tangent Ratios
10: Form and test conjectures concerning geometric relationships including lines, angles, and polygons (i.e., triangles, quadrilaterals, and n-gons), with and without technology
Classifying Quadrilaterals
12: Apply the Pythagorean theorem in both abstract and real-life settings
Circles
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Surface and Lateral Areas of Pyramids and Cones
13: Solve problems and determine measurements involving chords, radii, arcs, angles, secants, and tangents of a circle
Chords and Arcs
Circles
Inscribed Angles
14: Develop and apply coordinate rules for translations and reflections of geometric figures
Dilations
Rotations, Reflections, and Translations
Translations
15: Draw or use other methods, including technology, to illustrate dilations of geometric figures
Dilations
18: Determine angle measures and side lengths of right and similar triangles using trigonometric ratios and properties of similarity, including congruence
Cosine Function
Perimeters and Areas of Similar Figures
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Similar Figures
Similarity in Right Triangles
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
21: Determine the probability of conditional and multiple events, including mutually and nonmutually exclusive events
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
22: Interpret and summarize a set of experimental data presented in a table, bar graph, line graph, scatter plot, matrix, or circle graph
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots
23: Draw and justify conclusions based on the use of logic (e.g., conditional statements, converse, inverse, contrapositive)
Biconditional Statements
Conditional Statements
26: Generalize and represent patterns symbolically, with and without technology
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
27: Translate among tabular, graphical, and symbolic representations of patterns in real-life situations, with and without technology
Geometric Sequences
Correlation last revised: 5/11/2018