Download Adlai E. Stevenson High School Course Description

Adlai E. Stevenson High School
Course Description
Division:
Mathematics
Course Number:
MTH252
Course Title:
Geometry
Content Objectives:
By the end of this course, students will be able to:
Choose and apply the appropriate method to determine measurements of right triangles.
Develop and apply properties of similar polygons
Develop and apply the formulas for area of polygons, sectors, and circles.
Develop and apply the properties of circles including length and measure.
Develop and apply the surface area and volume of three-dimensional geometric shapes.
Content Learning Targets
Choose and apply the appropriate method to determine measurements of right triangles.
A.
I can apply trigonometric ratios to solve problems involving angles of elevation/depression.
B.
I can identify and use trigonometric ratios to find sides and angles of right triangles.
C.
I can simplify radicals.
D.
I can use and apply properties of similar triangles involving special right triangles.
E.
I can use and apply the properties of similar triangles when an altitude is drawn to the hypotenuse of a right triangle.
F.
I can use and apply the Pythagorean theorem.
Develop and apply properties of similar polygons
A.
I can identify and use a midsegment of a triangle
B.
I can identify similar polygons and solve problems using scale factors.
C.
I can prove triangles similar using AA~, SSS~, and SAS~
D.
E.
I can recognize and use proportional relationships of corresponding perimeters, angle bisectors, altitudes, and
medians of similar triangles.
I can use and apply properties of similar triangles involving special right triangles.
F.
I can use and apply the properties of similar triangles when an altitude is drawn to the hypotenuse of a right triangle.
G.
I can use similar triangles to solve for sides and angles.
H.
I can write ratios and solve proportions.
Develop and apply the formulas for area of polygons, sectors, and circles.
A.
I can find the area of circles and justify its formula.
B.
I can find the area of parallelograms and justify its formula.
C.
I can find the area of polygons and justify its formula.
D.
I can find the area of rectangles and justify its formula.
E.
I can find the area of rhombi and justify its formula.
F.
I can find the area of sectors and justify its formula.
G.
I can find the area of shaded regions.
Division:
Mathematics
Course Number:
MTH252
Course Title:
Geometry
H.
I can find the area of trapezoids and justify its formula.
I.
I can find the area of triangles and justify its formula.
Develop and apply the properties of circles including length and measure.
A.
I can apply the properties of circles to solve circle puzzles.
B.
I can find the arc length.
C.
I can find the measures of angles of inscribed polygons of a circle.
D.
I can find the measures of central/inscribed/interior/exterior angles of a circle.
E.
I can identify parts of a circle.
F.
I can recognize and use relationships between arcs and chords
G.
I can recognize and use relationships between chords and distance from center of a circle.
H.
I can solve problems involving the circumference of a circle.
I.
I can use and apply properties of similar triangles involving chords, secants, and tangents.
J.
I can use the properties of tangents.
K.
I can write the equation of a circle/ graph on the coordinate plane.
Develop and apply the surface area and volume of three-dimensional geometric shapes.
A.
I can find the surface area and volume of figures with holes.
B.
I can find the surface area and volume of right cones.
C.
I can find the surface area and volume of right cylinders
D.
I can find the surface area and volume of right prisms.
E.
I can find the surface area and volume of right pyramids.
F.
I can find the surface area and volume of spheres
G.
I can find the surface area and volume of stacked figures.
H.
I can label and draw three dimensional figures.