HULL HIGH SCHOOL
STUDENT COURSE EXPECTATIONS
Ms.Thomson
Honors Geometry ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
TEXT: Geometry: Tools for a changing world ($53.47)
COURSE OVERVIEW:
Special emphasis is placed on developing skills in inductive and deductive reasoning through study of the basic structure of geometry. Solid geometry is integrated with plane geometry to lead students to the consideration of three-dimensional properties. Coordinate Geometry is introduced to strengthen algebraic skills. ~Throughout the course, students are offered supplemental preparation for the mathematics section of the MCAS and SATs.
COURSE OBJECTIVES:
Student will recognize special types of polygons.
Student will apply properties of sides, diagonals, and angles in special polygons.
Student will identify their parts and special segments.
Student will determine interior angles for regular polygons
Student will draw and label sets of points such as line segments, rays, and circles.
Student will detect symmetries of geometric figures.
Student will write simple proofs of theorems in geometric situations, such as theorems about congruent and similar figures, parallel or perpendicular lines.
Student will distinguish between postulates and theorems.
Student will use inductive and deductive reasoning as well as proof by contradiction.
Student will give a conditional statement; write its inverse, converse, and contra positive.
Student will apply formulas for a rectangular coordinate system to prove theorems
Student will identify figures using properties of sides, angles, and diagonals.
Student will identify types of symmetry for geometric figures.
Student will draw congruent and similar figures using a compass, straightedge, protractor, and other tools such as computer software; make about methods of construction and justify such conjectures by logical arguments.
Student will recognize and solve problems involving angles formed by transversals of coplanar lines.
Student will identify and determine the measure of central and inscribed angles and their associated minor and major arcs.
Student will recognize and solve problems associated with radii, chords, and arcs within or on the same circle.
Student will apply congruence and similarity correspondences and properties of the figures to find missing parts of geometric figures.
Student will apply properties of angles, parallel lines, arcs, radii, chords, tangents, and secants to solve problems.
Student will solve simple triangle problems using the triangle angel sum property and/or the Pythagorean Theorem.
Student will use the properties of special triangles to solve problems.
Student will define the sine, cosine, and tangent of an angle.
Student will apply the triangle inequality rule and other inequalities associated with triangles to prove theorems and to solve problems.
Student will using rectangular coordinates, calculate midpoints of segments, slopes of lines and segments, and distances between the two points, and apply the results to the solutions of problems.
Student will find linear equations that represent lines either perpendicular or parallel to a given line and through a point.
Student will draw the results, and interpret transformations on figures in the coordinate plane.
Student will apply transformations to the solutions of problems.
Student will demonstrate the ability to visualize solid objects and recognize their projections and cross sections.
Student will use vertex edge graphs to model and solve problems.
Student will calculate perimeter, circumference, and area of common geometric figures such as parallelograms, trapezoids, circles, and triangles.
Student will give the formula; find the lateral area, surface area, and volume of prisms, pyramids, spheres, cylinders, and cones.
Student will relate changes in the measurement of one attribute of an object to changes in other attributes.
Student will describe the effects of approximate error in measurement and rounding on measurements and on computed values from measurements.
COURSE CONTENT:
Using patterns and inductive reasoning.
Learning about points, lines, planes, and angles.
Constructing segments.
Learning the properties of good definitions.
Learning about congruence and similarity.
Investigating shapes that occur in everyday life. Polygons, lines, and circles.
Drawing three-dimensional figures using orthographic and isometric drawing.
Describing changes in shape and size.
Identifying glide reflections, symmetries, and figures that tessellate.
Building on logical reasoning skills.
Using and applying properties of triangles.
Using and applying special parts of triangles.
Learning to find area and perimeter of geometric shapes.
Learning about circles.
Learning to measure figures in space.
Learning to use geometric models to find the probability of events.
Writing flow proofs.
Learning to apply concepts of congruence to indirect measurement.
Applying concepts of similarity to find distances using indirect measurement.
Studying similarity and proportional relationships in triangles.
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