Download Adlai E. Stevenson High School Course Description

Adlai E. Stevenson High School
Course Description
Division:
Mathematics
Course Number:
MTH271
Course Title:
Geometry Accelerated
Content Objectives:
By the end of this course, students will be able to:
Apply distance, slope/line, midpoint and area formulas in a geometric setting.
Solve problems involving parallel and perpendicular lines.
Solve problems that incorporate properties of points, segments, lines, and angles.
Solve problems that involve polygons, especially triangles and quadrilaterals.
Solve problems using congruent tria
Solve problems using congruent triangles.
Work with the components of a deductive structure.
College Readiness Objectives:
By the end of this course, students will be able to:
Basic Operations & Applications
Expressions, Equations & Inequalities
Functions
Graphical Representations
Measurement
Probability, Statistics & Data Analysis
Social-Emotional Learning Objectives:
By the end of this course, students will be able to:
Responsible Decision Making
Content Learning Targets
Apply distance, slope/line, midpoint and area formulas in a geometric setting.
A.
To determine if three or more points are collinear.
B.
To find slope of lines (including parallel and perpendicular) and apply it to various situations.
C.
To find the distance from a point to a line.
D.
To find the midpoint of a segment and use the midpoint to find endpoints.
E.
To solve systems, solve quadratics, and simplify radicals; and apply it to geometry problems.
F.
To understand and use notation specific to geometry: point, line, ray, segment, angle, etc.
G.
To use the distance formula.
H.
To use the Pythagorean theorem to find side lengths of a right triangle.
I.
To write the equations of a line in standard, point slope, slope intercept, and general forms.
Solve problems involving parallel and perpendicular lines.
A.
To apply the perpendicular bisector theorem.
B.
To identify angle pairs created by two or more parallel lines and apply to determine angle measures.
Division:
Mathematics
Course Number:
MTH271
Course Title:
Geometry Accelerated
C.
To justify algebraically and prove using paragraph proof if two lines are parallel.
D.
To provide diagrams, given, and prove statements for proofs.
E.
To use the right angle theorem in proof.
Solve problems that incorporate properties of points, segments, lines, and angles.
A.
To apply the terms bisection and trisection to angles and segments
B.
To be able to draw and label an appropriate diagram based off given information.
C.
To be able to find the unions and intersections of geometric objects.
D.
To use and apply previous knowledge of types of angles and find restrictions on angle measurements.
E.
To use the triangle inequality theorem to find restrictions of side lengths.
Solve problems that involve polygons, especially triangles and quadrilaterals.
A.
To apply the basic properties and classify triangles by angles and sides
B.
To apply the properties of quadrilaterals to set up and solve problems.
C.
To determine the identity of a quadrilateral based on given information.
D.
To find angle measures polygons.
E.
To know the properties of quadrilaterals: parallelograms, rhombi, kites, squares, rectangles, trapezoids, and
isosceles trapezoids.
Solve problems using congruent tria
A.
To use the relationships between sides and angles of triangles.
Solve problems using congruent triangles.
A.
B.
To find the lengths of medians and altitudes in a triangle. To write the equations of lines of containing medians and
altitudes and write the equation of perpendicular bisector.
To identify and perform the congruency transformations; translations, reflections, and rotations.
C.
To identify and use the congruency postulates to prove triangles are congruent.
D.
To prove parts of congruent triangles are congruent.
E.
To use congruent triangles to draw further conclusions.
Work with the components of a deductive structure.
A.
To classify and apply complementary, supplementary, and vertical angle relationships.
B.
To connect givens, conclusions, and provide appropriate reasons to create a statement/reason and paragraph proof.
C.
To find the inverse, converse, and contrapositive of a conditional statement.
D.
E.
To know that definitions, theorems, and properties associated with the unit: perpendicularity, congruent,
complements, supplements, addition, subtraction & multiplication properties, and subtraction and
substitution/transitive properties.
To make conclusions based on use definitions, theorems, and properties.
F.
To use the Law of Detatchment and/or the Chain Rule to reach a valid conclusion.
College Readiness target
Basic Operations & Applications
Division:
Mathematics
Course Number:
MTH271
Course Title:
Geometry Accelerated
A.
BOA701: Solve complex arithmetic problems involving percent of increase or decrease and problems requiring
integration of several concepts from pre-algebra and/or pre-geometry.
Expressions, Equations & Inequalities
A.
XEI602: Write expressions, equations, and inequalities for common algebra settings.
B.
XEI701: Write expressions that require planning and/or manipulating to accurately model a situation.
C.
XEI702: Write equations and inequalities that require planning, manipulating, and/or solving.
Functions
A.
FUN502: Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths.
B.
FUN602: Apply basic trigonometric ratios to solve right-triangle problems.
Graphical Representations
A.
GRE504: Find the midpoint of a line segment.
B.
GRE603: Use the distance formula.
C.
D.
GRE604: Use properties of parallel and perpendicuar lines to determine an equation of a line or coordinates of a
point.
GRE605: Recognize special characteristics of parabolas and circles.
E.
GRE703: Solve problems integrating multiple algebraic and/or geometric concepts.
Measurement
A.
MEA201: Estimate or calculate the length of a line segment based on the other lengths given in a geometric figure.
B.
MEA401: Computer the area and perimeter of triangles and rectangles in simple problems.
C.
MEA402: use geometric formulas when all necessary information is given.
D.
MEA501: Computer the area of triangles and rectangles when one or more additional simple steps are required.
E.
MEA502: Computer the area and circumference of circles after identifying necessary information.
F.
MEA503: Computer the perimeter of simple composite geometric figures with unknown side lengths.
G.
MEA601: Use relationships involving area, perimeter, and volume of geometric figures to computer another meaure.
H.
MEA701: use scale factors to determine the magnitude of size change.
I.
MEA702: Computer the area of composite geometric figures when planning or visualization is required.
Probability, Statistics & Data Analysis
A.
PPF301: Exhibit some knowledge of the angles associated with parallel lines.
B.
PPF401: Find the measure of an angle using properties of parallel lines.
C.
PPF402: Exhibit knowledge of basic angle properties and special sums of angle measures.
D.
PPF501: Use several angle properties to find an unknown angle measure.
E.
PPF502: Recognize Pythagorean triples.
F.
PPF503: Use properties of isosceles triangles.
G.
PPF601: Appy properties of 30-60-90, 45-45-90, similar, and congruent triangles.
H.
PPF602: Use the Pythagorean Theorem.
I.
PPF701: Draw conclusions based on a set of conditions.
Division:
Mathematics
Course Number:
MTH271
Course Title:
Geometry Accelerated
J.
K.
PPF702: Solve multistep geometry problems that involve integrating concepts, planning, visualization, and/or
making connections with other content areas.
PPF703: Use relationships among angles, arcs, and distances in a circle.
L.
PSD602: Interpret and use information from figures, tables, and graphs.
M.
PSD702: Analyze and draw conclusions based on information from figures, tables, and graphs.
Social Emotional learning Targets
Responsible Decision Making
A.
I identify possible options, including major alternative points of view and their consequences, before mking a
decision.