Define trigonometric ratios and Geometry - Similarity, Right Illustrative Mathematics Triangles, and Trigonometry solve problems involving right G.SRT.6 Understand that by 9.4 The Tangent Ratio triangles. 9.5 The Sine and Cosine Ratios similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of Mars Task: trigonometric ratios for acute angles. G.SRT.7 Explain and use the 9.5 The Sine and Cosine Ratios relationship between the sine and Inside Mathematics: cosine of complementary angles. G.SRT.8 Use trigonometric ratios and 9.1 The Pythagorean Theorem the Pythagorean Theorem to solve 9.4 The Tangent Ratio right triangles in applied problems. 9.5 The Sine and Cosine Ratios 9.6 Solving Right Triangles G.SRT.8.1 Derive and use the trigonometric ratios for special right triangles (30°,60°,90°and 45°,45°,90°). CA Explain volume formulas and use Geometric Measurement and 11.1 Circumference and Arc Length 11.2 Areas of Circles and Sectors them to solve problems Dimension Illustrative Mathematics G.GMD.1 Give an informal argument 11.3 Areas of Polygons 11.4 Three-Dimensional Figures for the formulas for the circumference 11.5 Volumes of Prisms and Cylinders of a circle, area of a circle, volume of (includes Cavalieri’s principle) a cylinder, pyramid, and cone. Use 11.6 Volumes of Pyramids dissection arguments, Cavalieri’s 11.8 Surface Areas and Volumes of principle, and informal limit Visualize relationships between Spheres arguments. and three-dimensional Illuminations Student Journal p.184 Section 6.5 objects. Exploration Mathematics Vision Project:
Define trigonometric ratios and solve problems involving right triangles. Geometry - Similarity, Right Triangles, and Trigonometry 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. G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. G.SRT.8.1 Derive and use the trigonometric ratios for special right triangles (30°,60°,90°and 45°,45°,90°). CA 9.4 The Tangent Ratio 9.5 The Sine and Cosine Ratios 9.5 The Sine and Cosine Ratios 9.1 The Pythagorean Theorem 9.4 The Tangent Ratio 9.5 The Sine and Cosine Ratios 9.6 Solving Right Triangles Illustrative Mathematics Mars Task: Inside Mathematics: Explain volume formulas and use them to solve problems Visualize relationships between and three-dimensional objects. Geometric Measurement and Dimension G.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments. 11.1 Circumference and Arc Length 11.2 Areas of Circles and Sectors 11.3 Areas of Polygons 11.4 Three-Dimensional Figures 11.5 Volumes of Prisms and Cylinders (includes Cavalieri’s principle) 11.6 Volumes of Pyramids 11.8 Surface Areas and Volumes of Spheres Student Journal p.184 Section 6.5 Exploration Illustrative Mathematics Illuminations Mathematics Vision Project:
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