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- [ CMP - Stretching and Shrinking ]
compare corresponds, corresponding image ratio scale, scale factor similar angle angle measure area congruent coordinate graphing coordinates diameter dimensions line plot line segment parallel perimeter perpendicular vertex midpoint transform, transforming (slide, flip, turn = translate, reflect, rotate)
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[11-28-2005 Math 2a
1. Page 78-79 Unit Test
2. Start the [Dilation exercise]
OBJECTIVE: •To make enlargements of simple figures with a rubber band stretcher •To describe in an intuitive way what the word similar means [1.3.1 Understand the concept of similarity. * Identify corresponding sides and angles of two similar figures.* Determine and justify if two figures are similar using the definition of similarity. [CU, RL]* Differentiate between similar and congruent figures, either geometric figures or real-world objects, and justify the conclusion. [RL, MC]* Explain how a scale drawing is an example of similarity. [CU]][1.1.4] •To consider relationships between lengths and between angles in simple, similar figures [1.3.4][1.3.2] ACTIVITIES/ASSESSMENT: Enlargements by dilation and projection (on graph paper). Also - provide information on the pantograph. Discuss the 'rubber band stretcher' and go to p[age 7 NOTES: HOMEWORK:
[Pantograph 1]
11-29-2005 Math 2a
1. Page 7 Do the follow up 1. and modified #2
2. Page 10 Modified 4a and do 4b
OBJECTIVE: See 11-28 above. ACTIVITIES/ASSESSMENT: Modified 2 - use a ruler and projection to make the object 2x as big (graph paper); Modified 4a - the second circle has a diameter 2x as big - use the algebra comparison on page 10. NOTES: HOMEWORK: Page 11 #6
11-30-2005 Math 2a
1. HOMEWORK: Page 11 #6
2. Page 15 Problem 2.1 (directions p16 + Plug)
OBJECTIVE: •To review locating points in a coordinate system •To graph figures using algebraic rules •To predict how figures on a coordinate system are affected by a given rule •To learn that corresponding angles of similar figures are equal and that corresponding sides grow by the same factor[1.3.1]•To compare lengths and angles in similar and non-similar figures informally •To experiment with examples and counterexamples of similar shapes [1.3.4] Understand and apply combinations of translations (slides) and reflections (flips) to two-dimensional figures.[1.3.2][1.1.4] ACTIVITIES/ASSESSMENT: Read the introduction to page 14. Need to define similarity and congruence. Also introduce the the styles of triangles.NOTES: HOMEWORK: Page 20 1-3 (read 2.2 first)
12-1-2005 Math 2a
1.HOMEWORK: Page 20 1-3 (read 2.2 first)
2. Page 22ff 1,3,4,6
3. Pages 90-92 Check-Up #1
OBJECTIVE: See 11-30 above. ACTIVITIES/ASSESSMENT: Introduce transformations: translation, reflection, rotation with and without 4 quadrant grids. NOTES: HOMEWORK: Pages 90-92 Check-Up #1
12-2-2005 Math 2a
1. HOMEWORK: Pages 90-92 Check-Up #1
2. Page 28 Problem 3.1 Labsheet
OBJECTIVE: •To recognize similar figures and to be able to tell why they are similar [1.3.3][1.3.1] •To understand that any two similar figures are related by a scale factor, which is the ratio of their corresponding sizes •To build a larger, similar shape from copies of a basic shape (a rep-tile) •To find rep-tiles by dividing a large shape into smaller, similar shapes •To understand that the sides and perimeters of similar figures grow by a scale factor and that the areas grow by the square of the scale factor[1.2.1][1.2.3] •To find a missing measurement in a pair of similar figures •To recognize that triangles with equal corresponding angles are similar ACTIVITIES/ASSESSMENT: Continue working on similarity and congruence and introduce space bunnies. NOTES: HOMEWORK: Page 33 1-4
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