Geometric Properties & Transformations Days 88-107 (19 days) Common Core Objective: 7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. 8.G.1 Verify experimentally the properties of rotations, reflections, and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the same measure. c. Parallel lines are taken to parallel lines. 8.G.2 Understand that a two dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. 8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. 8.G.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two dimensional figures, describe a sequence that exhibits the similarity between them. 8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

Angles and Triangles Objective: You will be able to measure and draw angles and triangles using protractors and working with a partner. Warm-up: Describe how to use a protractor. CW: With a partner complete Find the measure of each angle WKSH HW: Practice Measuring Angles

Vocabulary Cards Word Connecting Words (3) Picture definition Front of Card Back of Card: One text sentence (sited) One student created sentence Copy words into your notebook. Vocabulary Words: acute angle, acute triangle, adjacent angles, angle, complementary angles, supplementary angles, equilateral triangle, isosceles triangle, obtuse angle, obtuse triangle, right angle, right triangle, scalene triangle, straight angle, triangle, vertical angles, transversal, parallel lines, corresponding angles, alternate interior angles, alternate exterior angles, congruent angles Triangle sum theorem, dilation, transformation, translation, reflection and rotation Word Connecting Words (3) Picture definition

Angles and Triangles Objective: You will create, estimate, and measure angles as well as classify triangles with a partner. CW: Angles and Triangles WKSH HW: Complete CW WKSH Additional Practice: WB 7-2 Warm-up: CASE 21 questions Review Characteristics of angles and triangles. Computer: http://www.mathplayground.com/measuringangles.html With a partner begin work on Angles and Triangles WKSH

Triangles Objective: You will be able to understand triangle constraints and use them to solve problems by completing an investigation with a partner. CW: Side and Angles of Triangles Packet HW: Triangles WKSH Warm-up: WKSH d90 Warm-up CW: Complete Packet to investigate Triangle characteristics.

Triangles Objective: You will find missing measures using vertical angles and the triangle sum theorem by completing notes with your table mates and completing a SAS on-line activity. Vocabulary: Triangle Sum Theorem – the three angles of any triangle will always total 1800 Additional Practice Text book 7-8 Warm-up: CASE 21 problems CW: SAS HW: WKSH on Angles and Triangles (solving for missing measurements) CW: SAS 1435 and WKSH http://www.sascurriculumpathways.com/portal/ (Class work Grade) HW: Complete SAS WKSH

Transversal Objective: You will identify angle relationships when two parallel lines are cut by a transversal with a partner. CW: Transversal Investigation HW: WKSH Practice Additional Practice: Text 9-2 Warm-up: Start next lesson with day 96

Review of Angles Objective: You will use khan academy and your previous knowledge to compete a worksheet with justifications. DON’T FORGET TO BE WORKING ON YOUR FLASH CARDS. QUIZ TOMORROW Warm-up: One of the measures of the remote interior angles of a triangle is 50°. If the exterior angle measures 120°, what is the measure of the other remote interior angle? A. 50° B. 120° C. 70° D. 170° CW: Review Homework and make corrections in class to be turned in for a class work grade. HW: Complete Practice WKSH – Angles and Triangles Warm-up is C

Dilations Objective: You will demonstrate your understanding of scale factor used in a coordinate plane and perform dilations on given figures in a coordinate plane by completing notes and homework. Vocabulary: Dilations - a point or figure that is created by applying a scale factor to the original point(s)-this may increase or decrease the figure in size Prime coordinates - the coordinates that come from applying a scale factor of original points Warm-up: What is the scale factor used if a 7 in plastic alligator represents a real alligator that is 175 inches long? CW: Watch video and complete notes: http://www.youtube.com/watch?v=mWrvZdxQ0_A HW: Worksheet D98 Dilations Stop at 4:40

Transformations Objective: You will describe four types of TRANSFORMATIONS and perform translations and describe the effects on the coordinates. CW: Draw and label the coordinate plan, view transformations PPT’s, work through notes to develop rules for transformations. HW: WKSH - Transformations Warm-up: Vocabulary – Transformation - when a figure or point is changed in size and position on a coordinate plane rigid transformation - when a figure changes position on the coordinate plane but maintains the same size and shape Translation - a transformation that moves points right-left or up-down or a combination of these (slide) Reflection - a transformation that flips a figure over a given line of reflection-each point moves an equal distance from the line of reflection but on the opposite side Rotation - a transformation where a given figure rotates around a given point There are several PPT on Transformations, watch all while students develop their own rules HW: to be completed over several days during CASE21 testing Transformation pg, Reflection page created by using the bottom of both pages and 2 sheets of paddy paper, Rotation page examples 2, 4, and 6 Foldable to be given when rules have been created as a review of class work activities Review after completion of Transformation packet, WB 12-2, 12-3, 12-4, and 12-5