COURSE TITLE – UNIT X
INFORMAL GEOMETRY – UNIT 7
Polygons and Circles – Part II
Glencoe: Geometry: Concepts and Applications
Target Time Frame: 11 days
|ESSENTIAL STANDARD |ESSENTIAL QUESTION |DEPTH for MASTERY |Sections |COMMENTS |
|1 – Solves problems and practical applications using appropriate |How do we solve problems and practical |All |Throughout unit | |
|approaches and tools (including calculators and computers) and |applications and judge the | | | |
|judges the reasonableness of results. |reasonableness of the results? | | | |
|2 – Uses algebraic skills and concepts to solve geometric problems |What algebra skills and concepts are |All |Throughout unit | |
|throughout geometry. |used in geometry? | | | |
|3 – Uses visualization skills to explore and interpret both two- and|How can visualization skills help you |All |Throughout unit | |
|three-dimensional geometric figures using such topics as |explore both solid and plane geometry? | | | |
|projections, cross sections, and locus problems. | | | | |
|26 – States and applies the Pythagorean Theorem and its converse. |What is the Pythagorean Theorem and how|All |6.6 | |
| |is it used? | | | |
|27 – States and applies properties of special right triangles, such |What are the properties of special |All |13.2 – 13.3 |Supplement – Teach simplifying |
|as 45-45-90 and 30-60-90 triangles. |right triangles? How are they used? | | |square roots without calculators |
|28 – Identifies and evaluates tangent, sine, and cosine ratios for |What is SohCahToa and how is it used to|All |13.4 | |
|an acute angle of a right triangle; uses a table, calculator, or |solve 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 ratios for right triangles |What is SohCahToa and how is it used to|All |13.4 | |
|to solve application problems such as indirect-measurement problems.|solve problems? | | | |
|ESSENTIAL STANDARD |ESSENTIAL QUESTION |DEPTH for MASTERY |Sections |COMMENTS |
|30 – Identifies and defines circles and their parts (center, arc, |What are the parts of a circle? How do|Parts of a circle, arcs|11.1 – 11.4 | |
|interior, exterior); segments and lines associated with circles |we identify different types of arcs? | | | |
|(chord, diameter, radius, tangent, secant); 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 solving problems, such as |How do you find the measure of |All |11.1, 11.2, 11.3 | |
|relationships between lines and segments associated with circles, |different arcs, angles, and segments? | | | |
|the angles they form, and the arcs they subtend; and the measures of| | | | |
|these arcs, angles, and segments. | | | | |
|34 – Finds the area of triangles, parallelograms, rectangles, |What is the formula for finding the |Area of sector |11.6 |Area of sector only |
|squares, trapezoids, regular polygons, circles, and sectors. |area of a sector and how do you apply | | | |
| |it? | | | |
|IMPORTANT STANDARD |ESSENTIAL QUESTION |DEPTH for MASTERY |Sections |COMMENTS |
|4 – Uses inductive and deductive reasoning to reach conclusions, |What is the difference between |All |Throughout unit | |
|identifies conjectures and counterexamples, and describes the nature|inductive and deductive reasoning? | | | |
|of a deductive mathematical system. | | | | |
|6 – Uses formal and/or informal logical reasoning processes. |How do you use formal and informal |All |Throughout unit | |
| |reasoning processes? | | | |
EOCT Domains Taught in this Unit:
UNIT COMMENTS:
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