DYERSBURG HIGH SCHOOL CURRICULUM

Subject:               GEOMETRY                                                                                                                              _____                  Semester

Grade:                  10-12                                                                                                                                                    _____                  Year

 

 

CONTENT

ESSENTIAL QUESTION

AUGUST

 

1.      Language of geometry/ coordinate plane, points, lines, planes; problem solving.

2.      Measure segments; segment relationship; rays and angles.

3.      Angles; perpendicular lines.

4.      Inductive reasoning; conjecturing, if-then statement; converse; postulates.

5.      Deductive reasoning; properties; problem solving.

1.       What words do you associate with geometry?

2.       What are some examples of lines and planes in this classroom?

3.       What is the importance of correct symbols in geometry?

4.       How are all angles alike and different?

5.       How do we use different types of reasoning to make decisions?

SEPTEMBER

 

 

 

 

 

 

1.       Proofs

2.       Diagrams; parallels and transferal.

3.       Using parallels; proofs with parallels.

4.       Slope of lines; parallel and distance.

1.       How do we determine logical order?

2.       Why are parallel lines important?

3.       How is slope used in construction?

4.       How is distance determined on a graph?

 

OCTOBER

 

 

 

 

 

1.      Triangles.

2.      Congruent triangles.

3.      Isosceles triangles.

4.     Congruent triangles; special segments; right triangles.

1.         How are triangles classified?

2.         What are some ways to know triangles are congruent?

3.         What is the importance of congruence in the work place?

4.         How are right triangles used in constructional designs?

NOVEMBER

 

 

 

 

 

 

 

 

1.       Right triangles; problem solving, indirect proofs.

2.       Inequalities of triangles.

3.       Properties of parallelograms.

4.       Rectangles; squares; rhombi.

5.       Trapezoid.

1.       What are some examples of working backwards?

2.       How are the sides of the triangles related to the angles?

3.       What properties are in common with all parallelograms?

4.       Identify and classify the geometric shapes you have observed in quilts.

5.       What are some special characteristics of the rhombus and square?

DECEMBER

 

 

JANUARY

 

 

 

1.      Properties of proportions.

2.      Similarity of polygons and triangles.

3.      Geometric mean; special right triangles; Pythagorean theorem.

1.       How are ratios used in recording grades?

2.       How can you use proportions to solve problems?

3.       What parts of similar triangles are equal, and what parts are proportional?

FEBRUARY

 

 

 

 

 

1.      Trigonometry.

2.      Law of sine and cosine.

 

1.       How can trigonometry be used to  find height of objects?

2.       How do you find missing measures of triangles involved in surveying, aviation, and fire fighting?

3.       What do a checkerboard, a honeycomb, and most stain glass windows have in common?

4.       How do the measures of the arcs compare to angles inside the circle?

MARCH

 

1.      Parts of circles, angles, arcs, and chords.

1.         How do the measures of the arcs compare to angles inside the circle?

APRIL

1.       Inscribed angles, tangents

2.       Angle measurement

3.       Special segments in circles.

4.       Polygons and polybedia.

1.       How can circle graphs be used in industry?

2.       Who do people say “going off on a tangent”?  Is the statement valid or not?

MAY

 

 

 

1.       Parallelograms.

2.       Area of triangle, rhombi, trapezoid, polygons, and circles.

1.       In what day-to-day jobs is area needed?

2.       What is the difference between perimeter and surface area?

3.       Where is volume used in the real world?