September 27, 2017 EO1 Opp #2 Thu, Sep 21st EO1 Opp #2 is in IC and grades adjusted. Come to ASP to see test and review grades. I'm in D213 for ASP.
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1 EO1 Opp #2 Thu, Sep 21st EO1 Opp #2 is in IC and grades adjusted. Come to ASP to see test and review grades. I'm in D213 for ASP.
2 EO2 Opp #1 M/T, Sep ML Hand back Friday, Sep 29th Make up tests need to be done by Thursday. 3rd Josh L34 4th Jasmine L34 Jadin L234 Grace L234 8th Kat L234 Jesse L234 Jonah L234 Cassandra L234
3 ? EO2 Opp #1 Inv 121 p30 #1 3, EQ Review p3 4 M/T, Sep ML Introduction to Similarity Parallel Lines Cut by a Transversal Practice Set p1 5 OYO p40 #1, p43 #9 Practice Set p6 7 Practice Set p8 9 Calculating Scale Factors Parallel Lines Cut by a Transversal (foldable) Angle Vocabulary Sub: Mrs. Lawlor Properties, Postulates, & Theorems Hand back EO2 Friday, Sep 29th
4 Parallel Lines Cut by a Transversal M3 311 Parallel Lines & Transversal Foldable.pdf
5 Label the parallel lines and transversal transversal parallel lines
6 Lightly Shade the Interior Angles exterior interior exterior transversal parallel lines
7 Alternate the letters for ALTERNATE Color code each set of alternate angles: 2,3,6,7 and 1,4,5,8 A T R A E L E N T
8 Cut along the red lines September 27, 2017
9 Fold Flaps In Label as Pictured
10 Lift Up Flap 1 Under flap 1 you'll identify three different pais of angles that fit the descriptions. What angle (on the other intersecting lines) is in the corresponding position as angle 1? What exterior angle (on the other intersecting lines) is on the same side of the transversal? What exterior angle (on the other intersecting lines) is on the alternate side of the transversal?
11 1 & 5 1 & 8 1 & 6 Complete the information for the rest of the flaps
12 Complete Each Flap September 27, 2017
13 Practice Set Wednesday, September 27th p1 5
14 Math 3 EO3 TOOLKITS Similarity Calculating Scale Factors Parallel Lines Cut by a Transversal Foldable Angle Definitions
15 TOOLKIT: Calculating Scale Factors Similar ~ triangles have: 1. Congruent angles. 2. Proportional sides (same scale factor). = Scale Factor > 1 Smaller to larger polygon side length of the larger polygon side length of the smaller polygon side length of the smaller polygon = side length of the larger polygon Scale Factor < 1 Larger to smaller polygon Examples: Scale Factors Large to small Small to large Solve for x: Scale Factors Large to small Small to large Solve for x: Scale Factors Large to small Small to large Solve for x: Scale Factors Large to small Small to large Solve for x:
16 September 27, 2017 Parallel Lines Cut by a Transversal FOLDABLE TOOLKIT:
17 TOOLKIT: Angle Vocabulary Define the following terms. Diagrams would be helpful. September 27, 2017 Point Line Plane identifies a position, has no dimension, labeled with a single capital letter determined by two points, infinite length, no thickness or width, labeled with two capital letters with a line above or one single lower case letter a two-dimensional serface determined by 3 points, infinite length and width but no thickness, labeled with 3 capital letters or one italicized capital letter Angle two rays with a common starting point Angles can be named with numbers Angles can be named with letters. V U W Right Angle equals 90 degrees Y X Note that is not specific. It could be referring to any of 4 angles. Obtuse Angle greater than 90 degrees Acute Angle less than 90 degrees Straight Angle equals 180 degrees Adjacent Angles Linear Pair Vertical Angles two angles with a common vertex and shared side (ray) adjacent angles whose measures add up to 180 degrees (supplementary) two congruent angles formed by intersecting lines Complementary Angles 2 angles whose measures add up to 90 degrees Supplementary Angles Perpendicular Lines Parallel Lines 2 angles whose measures add up to 180 degrees lines in a plane that intersect at 90 degree angles lines in a plane do not intersect Transversal line that intersects parallel lines
18 TOOLKIT: Properties, Postulates, & Theorems Name Description Diagram Linear Pair Postulate p31 Two adjacent angles whose unshared sides form a straight angle are supplementary (equal to 180 o) 180 o Vertical Angles Theorem p32 When two lines intersect, opposite angles that share the same vertex or corner point are congruent. Angle Addition Postulate See p45 #13 Exterior Angle Theorem for a Triangle See p46 #15 If P is a point in the interior of then An exterior angle of a triangle is equal to the sum of the two remote interior angles B A P C Midpoint Connector Theorem for Triangles If the two midpoints of a triangle are connected, then the midline is parallel to and half the length of the third side. See p176 #5 Substitution Property of Equality If the value of 2 quantities are know to be equal, then the value of one quantity can be replaced by the value of the other. Addition, p31 Subtraction, Multiplication or Division Property of *Pick just one operation! Equality* Corresponding CAs are Congruent Angles Postulate Converse of the Corresponding Angles Postulate Alternate Interior Angles Theorem Converse of the Alternate Interior Angles Theorem Adding, subtracting, multiplying, or dividing* the same number from each side of an equation gives us an equivalent equation. If two lines are intersected by a transversal and corresponding angles are congruent, then the lines are parallel. AIAs are Congruent If two lines are intersected by a transversal and alternate interior angles are congruent, then the lines are parallel. Alternate Exterior Angles Theorem AEAs are Congruent Converse of the Alternate Exterior Angles Theorem Same side Interior Angles Theorem If two lines are intersected by a transversal and alternate exterior angles are congruent, then the lines are parallel. SSIAs are Supplementary Converse of the Same side Interior Angles Theorem Same side Exterior Angles Theorem Converse of the Same side Exterior Angles Theorem If two lines are intersected by a transversal and same side interior angles are congruent, then the lines are parallel. SSEAs are Supplementary If two lines are intersected by a transversal and same side exterior angles are congruent, then the lines are parallel. Reflexive property Congruent to itself or NOTE: We will add to this Toolkit as necessary.
19 Attachments M3 211 Organizer.docx M3 311 Parallel Lines & Transversal Foldable.pdf SelectorTools.exe
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