Mathematics by jizhen1947



Essential Discipline Goals

                Develop mathematical skills and reasoning abilities needed for problem solving.
                Choose appropriate technological tools to solve problems.
                Demonstrate positive attitudes toward mathematics in school, culture, and society.

Geometry with Reasoning - (Essentials of Geometry)
Geometry, Measurement, and Reasoning Goal

                The student will demonstrate the ability to solve mathematical and real-world problems using
                 measurement and geometric models and will justify solutions and explain processes used.

STANDARD: MA.GEO.05:               Represent and analyze two- and three-dimensional figures using tools and
                                   technology when appropriate 2.1


MA.GEO.05.05 Describe the characteristics of geometric figures and construct or draw geometric figure using
             technology and tools (SSL* 2.1.1, 2.1.2, 2.1.4)
MA.GEO.05.06 Apply concepts of betweenness, angle bisectors, midpoints, vertical angles, linear pairs,
             complementary and supplementary angles (*2.1.1, 2.1.2, 2.2.2, 2.3.1)
MA.GEO.05.07 Classify and describe properties of triangles, quadrilaterals, and other polygons (SSL*2.1.1, 2.1.2)
MA.GEO.05.08 Use relationships between parallel lines and angles to determine angle measure (SSL*2.1.1, 2.1.2,
             2.2.2, 2.3.1)
MA.GEO.05.09 Identify properties of medians and altitudes of triangles (*2.1.1, 2.1.2)
MA.GEO.05.10 Identify circle-related terms including arcs, angles, segments and lines (*2.1.1, 2.1.2)
MA.GEO.05.11 Visualize and identify geometric figures in two and three dimensions (SSL*2.1.1, 2.1.2)
MA.GEO.05.15 Identify and verify properties of geometric figures using the coordinate plane and using concepts
             from algebra (SSL2.1.2)
MA.GEO.05.16 Apply distance, midpoint, and slope using the coordinate plane and using concepts from Algebra
             (SSL*2.1.1, 2.1.2, 2.2.2, 2.3.1)
MA.GEO.05.17 Investigate relationships between the slopes of parallel and perpendicular lines (*2.1.1)
MA.GEO.05.20 Use transformations to move figures, create designs, and demonstrate geometric properties
             (SSL*2.1.2, 2.1.3, 2.2.1)
MA.GEO.05.21 Draw and describe results of transformations including reflections, rotations, translations, and
             dilations (SSL*2.1.3, 2.1.4, 2.2.1)
MA.GEO.05.22 Find the composite of two transformations (*2.1.3)
MA.GEO.05.23 Describe properties of figures undergoing transformations on the coordinate plane (*2.1.2, 2.1.3,
             2.2.1, 2.3.1)
MA.GEO.05.24 Identify line and rotational symmetry (*2.1.2, 2.1.3)
MA.GEO.05.25 Use transformations to create designs (SSL*2.1.3)
MA.GEO.05.30 Validate properties of geometric figures using appropriate technology and tools (ruler, protractor,
             compass, patty paper, software or graphing calculator) (SSL*2.1.4)
MA.GEO.05.31 Use triangle inequality theorems (*2.2.2)
MA.GEO.05.32 Use properties of exterior angles (*2.1.1, 2.2.2, 2.3.1)
MA.GEO.05.33 Explore properties of isosceles triangles (SSL*2.1.1, 2.1.2)
MA.GEO.05.34 Apply the sum of the angle measures property in a polygon (*2.2.2, 2.3.1)
MA.GEO.05.35 Apply properties of circles (central angles, inscribed angles, arc measure, congruent chords, and
             tangents) (*2.1.2, 2.2.2, 2.3.1)
STANDARD: MA.GEO.10:              Apply geometric properties and relationships using tools and technology when
                                  appropriate SSL*2.2


MA.GEO.10.05 Identify and verify congruent and similar figures and apply equality or proportionality of their
             corresponding parts (SSL*2.1.2, 2.2.1, 2.2.2, 2.3.1)
MA.GEO.10.06 Apply triangle congruence theorems (SSL*2.2.1, 2.2.2, 2.3.1)
MA.GEO.10.07 Apply definition of triangle congruency to corresponding parts (CPCTC) (SSL*2.2.1, 2.2.2, 2.3.1)
MA.GEO.10.08 Apply triangle similarity theorems (SSL*2.2.1, 2.2.2, 2.3.1)
MA.GEO.10.09 Apply parallel lines to proportional segments of triangles (SSL*2.2.1, 2.2.2, 2.3.1)
MA.GEO.10.10 Solve problems using two-dimensional figures and/or right triangle trigonometry (SSL*2.2.2,
MA.GEO.10.11 Use the Pythagorean Theorem and its converse (SSL*2.2.2, 2.3.1)
MA.GEO.10.12 Use the relationships between the sides of special right triangles (SSL*2.2.1, 2.2, 2.3.1)
MA.GEO.10.13 Find the missing parts of right triangles using trigonometric ratios, specifically sine, cosine, and
             tangent (*2.2.2)
MA.GEO.10.14 Represent problem situations with geometric models including scale drawings (SSL*2.1.4, 2.2.1,
             2.2.2, 2.3.1)
MA.GEO.10.15 Identify and use inductive and deductive reasoning (SSL*2.2.3)
MA.GEO.10.16 Use the inductive process to make discoveries about geometric relationships and form
             generalizations (SSL*2.2.3)
MA.GEO.10.17 Use deductive reasoning to prove a geometric relationship using narrative, flowcharts, or two-
             column proofs (SSL*2.2.3)

STANDARD: MA.GEO.15:              Apply concepts of measurement using tools and technology when appropriate

MA.GEO.15.05 Use algebraic and geometric properties to measure indirectly (SSL*2.3.1)
MA.GEO.15.10 Use techniques of measurement and estimate, calculate, and compare perimeter, circumference,
             area, volume, and surface area of two- and three-dimensional figures and their parts (express the
             results with appropriate precision) (SSL*2.3.2)
MA.GEO.15.15 Compute perimeter, circumference, and area of figures (SSL*2.2.2, 2.3.2)
MA.GEO.15.20 Determine arc length and sector area (SSL*2.2.2, 2.3.2)
MA.GEO.15.25 Find volume and surface area of geometric solids (including spheres) (SSL*2.3.2)
MA.GEO.15.30 Compare relationships among perimeter, area, and volume of similar figures (SSL*2.1.1, 2.2.1,
             2.2.2, 2.3.2)

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