Assignments

Updated 11-16-09

  • This Year City Academy is using a hybrid program using IMP and ALEKS
  • Smaller papreback textbooks have been provided for each individual unit
    • Instead of one large book there are several chapter length booklets. 
  • Your student is now using the purple Shadows text.
    • The assignments below can be found in the Shadows text
  • All HW assignments are due the following day in the beginning of class 

Monday, November 2, 2009

 

Discussion: Very Special Triangles

Angle Observations

Homework: More About Angles & ALEKS

·        Students are introduced to the right triangle and some of its unique properties.

·        Students will build the Pythagorean Theorem.

 

Tues/Weds, November 3 or 4, 2009

 

Discussion: More About Angles

Presentations: POW 14: Pool Pockets

Homework: Inside Similarity & ALEKS

·        Presenting the POW

·        Students use supplementary angles to prove that vertical angles are equal.

·        Students investigate angles formed by a transversal and parallel lines.

Thursday, November 5, 2009

 

Discussion: Inside Similarity

A Parallel Proof

Homework: Angles, Angles, Angles  & ALEKS

 

·        Students will develop a proof for the angle sum property for triangles using what they learned yesterday about parallel lines split by a transversal.

Friday, November 6, 2009

 

Discussion: Angles, Angles, Angles

The Lamp Shadow

Bouncing Light

Homework: Now You See It, Now You Don’t & ALEKS

·        Students investigate the reflections of light bouncing off of a mirror.

·        Students will form a conjecture about the congruency of the angle of approach and the angle of departure.

 

Monday, November 9, 2009

 

Mirror Magic 

Discussion: Now You See It, Now You Don’t 

Homework: Mirror Madness  & ALEKS

·        Students will use mirrors and similar triangles to measure distances indirectly.

 

 

Tues/Weds, November 10 or 11, 2009

Discussion: Mirror Madness

A Shadow of a Doubt

Homework: To Measure a Tree  & ALEKS

·        Students investigate the unit problem “shadows”

·        Students will use similar triangles to find an equation involving the variables from the unit problem.

·        Students develop an algorithm for solving this equation in specific cases.

Thursday, November 12, 2009

Discussion: To Measure a Tree

 

 

Homework: TBA & ALEKS

 

Friday, November 13, 2009

Catch up day

Homework:  Takehome test

·        Students use similar triangles and shadows to measure the height of a tree.

Monday, November 16, 2009

More Triangles for Shadows

 

 

Right Triangle Ratios 

Homework:  The Sun Shadow Problem & ALEKS

 

 

Tues/Weds, November 17 or 18, 2009

Discussion: Right Triangle Ratios

 

 

Sin, Cos, and Tan Revealed

Homemade Trig Tables

Homework: Your Opposite Is My Adjacent & ALEKS

·        Students use sin, cos, tan to find missing parts of a triangle

 

 

 

Thursday, November 19, 2009

 

Discussion: Your Opposite Is My Adjacent

Homemade Trig Tables (continued)

The Tree and the Pendulum

Homework: Sparky and the Dude & ALEKS

 

·        Students explore the relationships between sin, cos, tan and find missing parts of a triangle

 

Friday, November 20, 2009

Discussion: Sparky and the Dude

A Bright, Sunny Day

Homework: Beginning Portfolio Selection & ALEKS

 

Monday, November 23, 2009

 

In-Class Assessment

Homework: Take-Home Assessment

 

Similarity

Congruence

Right triangles

Special right triangles

Basic Trig ratios

Tues/Weds, November 24 or 25, 2009

 

Assessment Discussion

Unit Reflection

 

 

 

 


Parent Notes

Please see to it that your student is spending time working on ALEKS.

On Monday, 11-2-09 This class will continue their Unit, Shadows.

This unit opened with the question "How can you predict the length of a shadow?" Students will experiment with flashlights to isolate the important variables and try to predict the length of the shadow in terms of one of those variables. In order to understand shadows and the data they have found, students need to learn some geometry. 

Students have worked with a variety of concrete objects to come to an understanding of similar polygons, especially similar triangles. They will soon return to the problem of the shadow, applying their knowledge of similar triangles and using informal methods for solving proportions to develop a general formula.

In the last part of the unit students will learn (at an introductory level) about the three primary trigonometric functions—sine, cosine, and tangent—as they are defined for acute angles, and apply these functions to problems of finding heights and distances.

(Taken from: Appendix A: A Unit-by-Unit Summary of the IMP™ Curriculum)


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