Ch.1
Wk 2-3

How can I use reasoning to look at a problem and think like a mathematician?

1.0 Identifying axioms, theorems, and inductive and deductive reasoning.

Approaches to Learning

Ch1TEST

• Criterion A: Knowledge and Understanding
• Criterion C: Communication in mathematics:

Ch.2
Wk 4-5

How do I compose logical arguments to justify and prove my reasoning?

2.0 Write geometric proofs.
3.0 Construct and judge the validity of a logical argument.

Homo Faber

Ch2TEST
Writing a Proof

Ch.3
Wk 6-8

What information can I get from a line that transverses across parallel lines? How does this relate to how city streets are designed?

7.0 Prove and use theorems involving the properties of parallel lines cut by a transversal.

Community and Service

Ch3TEST Angle City Project

Ch.4
Wk 9-11

How can I prove that triangles and other figures are congruent? Is there a shorter way?

4.0 Prove basic theorems involving congruence.
5.0 Prove that triangles are congruent and use the concept of corresponding parts of congruent triangles.

Homo Faber

Ch4TEST
Create and Compare Triangle Congruency Theorems

Ch.5
Wk 12

How can I create segments, angles, and figures using ancient mathematic tools?

6.0 Know and use the triangle inequality theorem.
16.0 Perform basic constructions with a straight edge and compass.

Homo Faber

Ch5TEST Construct a Square
Criterion A: Knowledge and Understanding
Criterion B: Investigating patterns

Ch.6
Wk 13-15

How can I compute the area of any polygon? How do polygons appear in our world?

10.0 Compute areas of polygons, including triangles and quadrilaterals.

Environment

Ch6TEST
Criterion A: Knowledge and Understanding
Criterion B: Investigating patterns

Ch.7
Wk 16-18

How can I prove that triangles are similar? How can I use similar triangles to find measurements beyond my reach?

5.0 Prove that triangles are similar and use the concept of corresponding parts of similar triangles.

Homo Faber

Ch7TEST Scale Drawing of Comic
Criterion A: Knowledge and Understanding

End of
Year Concept
Lesson
Wk 19

How can I prove that a figure is a rhombus and no other quadrilateral? How will this help me survive the Bermuda triangle?

17.0 Prove theorems by using coordinate geometry, including midpoint of a segment, the distance formula, and various forms of equations of lines.

Environment

Final TEST
Criterion D: Reflection in mathematics: explain whether his or her results make sense in the context of the problem

Ch.8
Wk 2-4

How can I use right triangles to find measurements in real life?

14.0 Prove the Pythagorean Thm.
15.0 Use the Pythagorean Thm to determine distance and find missing lengths of sides of right triangles.
18.0 Know and use trigonometric functions defined by the angles of a right triangle.
19.0 Use trigonometric functions to solve for unknown lengths in a right triangle.
20.0 Know and use angle and side relationships in special right triangles.

Environment

Ch.8 TEST
Proof of Pythagorean Thm.
Find the height of the Flag Pole.
Criterion A: Knowledge and Understanding
Criterion C: Communication in mathematics:

Ch.9
Wk 5-7

How do we see geometry in art?

22.0 Know the effect of rigid motion including, rotations, translations, and reflections.

Environment

Ch.9 TEST
Transformation Project

Ch.10
Wk 8-11

How can we quantify space?

8.0 Know, derive, and solve problems involving perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.
10.0 Compute areas of polygons.

Environment/Homo Faber

Ch.10 TEST
Spit Ball Target Challenge
Criterion A: Knowledge and Understanding

Ch.11
Wk 11-13

Which Candy Bar will give you the best value?

9.0 Compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres.

Health and Social Edu.

Ch.11 TEST
Origami Polyhedras
Criterion A: Knowledge and Understanding
Criterion C: Communication in mathematics

CST
Wk 14-15

Review + TESTing

Criterion D: Reflection in mathematics: explain whether his or her results make sense in the context of the problem

Ch.12
Wk 15-17

What are the relationships between tangents, secants, chords, arcs, and angles in a circle.

7.0 Prove and use theorems involving the properties of circles.
21.0 Prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles.

Homo Faber

Ch.12 TEST
Circle Project
Criterion B: Investigating patterns
Criterion D: Reflection in mathematics: explain whether his or her results make sense in the context of the problem