(July 2013)
Unit Statement:
This unit introduces the transformations of reflections, translations, rotations, and their composites. The patterns of symmetry, solids of revolution, tessellations and dilations are also investigated.
Essential Outcomes: (must be assessed for mastery)
Problem solving and higher order thinking components are essential for A level mastery.
Each outcome can contain problem solving and higher order thinking components (as found in suggested text).
1.
T he S tudent W ill identify, draw and solve reflections (9.1 pp 604 - 610).
2.
TSW identify, draw and solve translations (9.2 pp.611 - 618).
3.
TSW identify, draw and solve rotations (9.3 pp. 619 - 625).
4.
TSW identify and draw compositions of transformations and apply theorems about isometries (9.4 pp. 626 - 631).
5.
TSW identify and describe symmetry in geometric figures (9.5 pp. 634 - 640).
6.
TSW use transformations to draw tessellations and identify regular and semiregular tessellations and figures that will tessellate (9.6 pp. 643 - 649).
7.
TSW identify, draw and solve dilations (9.7 pp. 650 - 657).
Introduced and Practiced Outcomes: (taught not assessed)
1. T he S tudent W ill investigate how solids can be produced by rotating a twodimensional figure through space (1.5 pp. 641-642).
Key Terms and Concepts: center of dilation enlargement frieze pattern glide reflection isometry line symmetry line of symmetry reduction regular tessellation rotational symmetry semiregular symmetry tessellation
36
QSI GEOMETRY SEC S01
Copyright © 1988-2013

Suggested Assessment Tools and Strategies:
Attached Rubric or teacher generated rubric that assesses ALL essential outcomes
(TSWs).
Suggested Resources:
Holt McDougal Geometry, Chapter 9, Sections 1 - 7.
Holt McDougal Geometry, Problem Solving Workbook
Holt McDougal Geometry, Practice Worksheets
Holt McDougal Geometry, Reading Strategies
Holt McDougal Geometry, Reteach Worksheets
Holt McDougal Geometry, Challenge Worksheets
Holt McDougal Geometry, Assessment Resources
Technology Links:
Holt McDougal Geometry, Online Edition, 6-year subscription
Holt McDougal Geometry, Interactive Answers and Solutions CD-ROM
Holt McDougal Geometry, Lesson Tutorial Videos DVD-ROM
Holt McDougal Geometry, Teacher One-Stop DVD
On Core Mathematics Deluxe Eamview Grades 6-12 CD-ROM
On Core Mathematics High School Activity Generator CD-ROM
Follett Destiny WebPath Express (found on school’s automated library system)
Tenmarks www.tenmarks.com/
Khan Academy https://www.khanacademy.org/
PhET Simulations http://phet.colorado.edu/en/simulations/category/math
EVALUATION RUBRIC FOUND ON FOLLOWING PAGE………………
QSI GEOMETRY SEC S01
Copyright © 1988-2013
37

Geometry
Selective Unit 1 (S01)

To receive a ‘B’, the student must show ‘B’ level mastery on all seven TSW’s.

To receive an ‘A’, the student must show ‘A’ level mastery in at least 4 of the 7 available TSW’s and ‘B’ level mastery on all of the remaining TSW’s.
TSW
1- identify, draw and solve reflections.
Notes
2- identify, draw and solve translations.
3- identify, draw and solve rotations.
4- identify and draw compositions of transformations and apply theorems about isometries.
5 identify and describe symmetry in geometric figures.
‘A’ LEVEL
The student can modify reflections in the coordinate plane with the line y=x as the line of reflection.
The student can show that a translated image is congruent to its preimage in a formal proof.
The student can justify the choice of different gears to get a desired angle and direction of rotation from intersecting gears.
The student can find the translation vector in the coordinate plane which is equivalent to a figure that is reflected across a given line then again reflected across a second line.
The student can design a formula which will find the number of axes of symmetry for a regular polyhedron.
‘B’ LEVEL
The student is able to
identify, draw and solve reflections.
The student is able to identify, draw and solve translations.
The student is able to identify, draw and solve rotations.
The student is able to
identify and draw compositions of transformations and apply theorems about isometries.
6. use transformations to draw tessellations and identify regular and semiregular tessellations and figures that will tessellate.
7. identify, draw and solve dilations.
The student can investigate and justify why some regular and semiregular figures will not tessellate .
The student can draw the image of a triangle under a dilation scale factor that is not centered at the origin.
The student is able to
identify and describe symmetry in geometric figures.
The student can use transformations to draw tessellations and identify regular and semiregular tessellations and figures that will tessellate.
The student is able to
identify, draw and solve dilations.
38
QSI GEOMETRY SEC S01
Copyright © 1988-2013