This is a blog for updates for students in Ms. Liefland's Geometry, Algebra II, and Algebra II/Trig classes at Harper Junior High School for the 2012-2013 school year.
Monday 10/29 - Patterns in Slope Triangles (Introduction to Trigonometry)
Introduction to Chapter 4 - Vocabulary Notes
CW: 4-1 thru 4-5
HW: 4-6 thru 4-8
Tuesday 10/30 - Slope Ratios and Angles (Table)
*KEY CONCEPT*
If two angles are COMPLEMENTARY (they add up to 90), their slope ratios (rise/run) are RECIPROCALS.
Also, the TWO "other" angles in a right triangle (the two angles that are not the right angle) are always complementary. This makes sense that their slope ratios are reciprocals because they are referring to the same slope triangle, just "seeing" the slope from an upside-down perspective.
Monday (Last week PSAT WORK - 3-56, 57, Summarize Math Notes Box on Congruence, and 3-59 thru 3-61) Warmup: If you took the PSAT: Do 3-59 for warmup now If you did not take the PSAT: Start HW CW: Go over problems up through 3-61 3-64 and 3-65 and 3-66 STAMP HW: 3-62, 63, 70, 71, 72
Vocab: dilation, zoom factor, corresponding sides/angles
Similarity statements - order matters (should be able to choose corresponding sides from the statement)
Knowing that if they are similar, or after you prove they are similar, then all sides are proportional and all angles are congruent.
Congruent shapes have a zoom factor of 1 ie identical.
Using proportions to find missing side lengths
Knowing that unknown angles in similar triangles are congruent (equal) to their corresponding (matching) angles
Monday - 3.1.1 What Do These Shapes Have in Common?
Review Chapter 2 Test
Introduction to Chapter 3
Dilations: Shape, Size and Similarity
CW: 3-2 and 3-3
HW: 3-5 thru 3-9
Dilation Notes:
Tuesday
CW: 3-10 thru 3-15
If polygons are similar, their side lengths are in proportion, and we can write ratios to show this.
They have a common multiple - i.e., if all side lengths have been doubled, the "zoom factor"/scale factor is 2.
HW: 3-17 thru 3-20
Wednesday
Warm-Up: 3-15, 3-22 and 3-23
Classwork: 3-24, 25, 26
Homework: 3-27 and 28
Thursday
CW: 3-32,33,34,35
HW: 3-38 and 3-39 and Study for Quiz
Quiz Topics
A DILATION is the type of transformation that produces a similar figure - either by making it smaller (scale factor between zero and one) or by making it bigger (scale factor bigger than one).
Know that similar means SAME SHAPE but DIFFERENT SIZE.
Know how to find zoom factor/scale factor: Take a pair of corresponding sides and write them as a fraction, new divided by old.
The scale factor is the number that all sides are MULTIPLIED by to come up with new sides.
DOUBLE CHECK your scale factor - if a scale factor is BIGGER than one, it means the shape got BIGGER. If the shape got SMALLER, your scale factor should be between zero and one (a fraction like one-half).
Know how to use proportions to find missing side lengths in similar figures.
Knowing that if two angles in a triangle are congruent to two angles in another triangle, then the third angles must also be congruent.
Know how to LABEL similar figures and know how to USE the label (i.e. triangle ABC ~ triangle XYZ) to help you know which sides are CORRESPONDING SIDES.
Decide if similar triangles are correctly or incorrectly labelled as similar.
Tuesday - 5.5 The Quadratic Formula
HW: Page 304: 35-40 all AND Page 311: 24-31 all Wednesday - 5.6 Complex Numbers!!!
HW: Page 320: 18-29 all, 45-59 odd Thursday Friday
