Number and Quantity - Category
| ||||

Algebra - Category
| ||||

Geometry
Categories: Geometry SRT / Modeling ★ Geometry -Category G-SRT Similarity, right triangles, and trigonometry Understand similarity in terms of similarity transformationsCC_G-SRT-1 Verify experimentally the properties of dilations given by a center and a scale factor: a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
CC_G-SRT-2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
CC_G-SRT-4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. CC_G-SRT-5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.Define trigonometric ratios and solve problems involving right trianglesCC_G-SRT-6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
CC_G-SRT-9 (+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Source: http://corestandards.org/assets/CCSSI_Math%20Standards.pdf
| ||||

Trigonometry
Categories: Functions IF and TF / Geometry SRT / Modeling ★ Functions - Category F-IF Interpreting functions Analyze functions using different representationsCC_F-IF-7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. ★ (modeling)
F-TF Trigonometric Functions Extend the domain of trigonometric functions using the unit circleCC_F-TF-1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
CC_F-TF-5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.★ (modeling)
CC_F-TF-8 Prove the Pythagorean identity sin Geometry -Category G-SRT Similarity, right triangles, and trigonometry Define trigonometric ratios and solve problems involving right trianglesCC_G-SRT-6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
CC_G-SRT-9 (+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
(+) All standards without a (+) symbol should be in the common mathematics curriculum for all college and career ready students. Standards with a (+) symbol may also appear in courses intended for all students.
Source: http://corestandards.org/assets/CCSSI_Math%20Standards.pdf |

Up one level | Printer-friendly PDF of all Common Core Standards for 8-12 |