In this course we will begin to formalize your geometry experiences from elementary and middle school, using more precise definitions, more complex applications and developing careful justifications. We will cover formal geometry topics, make connections between Algebra and Geometry, and provide the opportunity to use geometry to solve a variety of real-life problems. Successful completion of Geometry Statistics A & B will prepare the student for a second-year Algebra course.
Si necesita más información en español sobre esta clase, por favor comuníquese con Saúl Ríos por correo electrónico rios_s@4j.lane.edu. Además, puede escribirme directamente y haré todo lo posible para ayudar.
Given a figure and the description of a transformation (reflection, rotation, or translation), I can draw the figure's image after the transformation.
I can describe the sequence of transformations necessary to take a figure onto another figure.
I can construct linear functions given a graph or two input-output pairs.
I can define reflections and translations in terms of perpendicular lines, parallel lines, and line segments.
I can define the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.
I can use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
I can identify angle relationships formed by transversals and solve problems using those relationships.
I can justify theorems about lines, angles, triangles, and parallelograms and use them to solve problems in real world contexts.
I can justify that measures of interior angles of a triangle sum to 180°.
I can justify that base angles of isosceles triangles are congruent.
I can select and use area formulas for triangles and common quadrilaterals to solve real world problems.
I can use coordinates to prove these simple geometric theorems algebraically: lines are parallel/perpendicular, distance between two points.
I can experiment with dilations to describe and verify their effects on lines and line segments within a polygon.
I can use transformations and similarity theorems (AA~, SAS~, SSS~) to determine whether two triangles are similar.
I can solve problems involving similar polygons.
I can use the definition of similarity to justify and explain that side ratios in right triangles are properties of the angles in the triangle.
I can explain and use the relationship between the sine and cosine of complementary angles to solve problems in real world contexts.
MAKE SENSE OF PROBLEMS AND PERSEVERE IN SOLVING THEM
REASON ABSTRACTLY & QUANTITATIVELY
CONSTRUCT VIABLE ARGUMENTS AND CRITIQUE THE REASONING OF OTHERS
MODEL WITH MATHEMATICS
USE APPROPRIATE TOOLS STRATEGICALLY
ATTEND TO PRECISION
LOOK FOR & MAKE USE OF STRUCTURE
LOOK FOR & EXPRESS REGULARITY IN REPEATED REASONING