Course Title Unit X

INFORMAL GEOMETRY – UNIT 7 Polygons and Circles – Part II Glencoe: Geometry: Concepts and Applications Target Time Frame: 11 days

ESSENTIAL DEPTH for ESSENTIAL STANDARD Sections COMMENTS QUESTION MASTERY 1 – Solves problems and practical How do we solve All Throughout unit applications using appropriate approaches problems and practical and tools (including calculators and applications and judge computers) and judges the reasonableness the reasonableness of the of results. results? 2 – Uses algebraic skills and concepts to What algebra skills and All Throughout unit solve geometric problems throughout concepts are used in geometry. geometry? 3 – Uses visualization skills to explore and How can visualization All Throughout unit interpret both two- and three-dimensional skills help you explore geometric figures using such topics as both solid and plane projections, cross sections, and locus geometry? problems. 26 – States and applies the Pythagorean What is the Pythagorean All 6.6 Theorem and its converse. Theorem and how is it used? 27 – States and applies properties of What are the properties All 13.2 – 13.3 Supplement – Teach special right triangles, such as 45-45-90 of special right triangles? simplifying square and 30-60-90 triangles. How are they used? roots without calculators 28 – Identifies and evaluates tangent, sine, What is SohCahToa and All 13.4 and cosine ratios for an acute angle of a how is it used to solve right triangle; uses a table, calculator, or problems? computer to find the ratio for a given angle or find the angle for a given ratio. 29 – Uses the tangent, since, and cosine What is SohCahToa and All 13.4 ratios for right triangles to solve how is it used to solve application problems such as indirect- problems? measurement problems. ESSENTIAL DEPTH for ESSENTIAL STANDARD Sections COMMENTS QUESTION MASTERY 30 – Identifies and defines circles and their What are the parts of a Parts of a 11.1 – 11.4 parts (center, arc, interior, exterior); circle? How do we circle, arcs segments and lines associated with circles identify different types of (chord, diameter, radius, tangent, secant); arcs? properties of circles (congruent, concentric, tangent); relationship of polygons and circles (inscribed, circumscribed); angles (central; inscribed; formed by tangents, chords, and secant). 31 – Applies geometric relationships to How do you find the All 11.1, 11.2, 11.3 solving problems, such as relationships measure of different arcs, between lines and segments associated angles, and segments? with circles, the angles they form, and the arcs they subtend; and the measures of these arcs, angles, and segments. 34 – Finds the area of triangles, What is the formula for Area of sector 11.6 Area of sector only parallelograms, rectangles, squares, finding the area of a trapezoids, regular polygons, circles, and sector and how do you sectors. apply it? ESSENTIAL DEPTH for IMPORTANT STANDARD Sections COMMENTS QUESTION MASTERY 4 – Uses inductive and deductive reasoning What is the difference All Throughout unit to reach conclusions, identifies conjectures between inductive and and counterexamples, and describes the deductive reasoning? nature of a deductive mathematical system. 6 – Uses formal and/or informal logical How do you use formal All Throughout unit reasoning processes. and informal reasoning processes?

EOCT Domains Taught in this Unit: UNIT COMMENTS: