Proofs & Angles Syllabus
Date Assigned / Concept / Homework / Due Date9/16 M or 9/17 T / Intro to proofs: justifying statements with properties, definitions, postulates / Indentifying Congruent Parts & Mini-Proofs w/s / 9/18 W or
9/19 R
9/18 W or
9/19 R / Prove Theorems about angles (Vertical Angle Theorem, Linear Pair Postulate) / Proofs about Angles w/s / 9/20 F
9/20 F / Squiz / TBD / 9/23 M or
9/24 T
9/23 M or
9/24 T / Prove Theorems about angles (Corresponding Angles Postulate, Alternate Interior Angles Theorem, etc) / p. 159 #13 – 23, 25, 27, 28 / 9/25 W or
9/26 R
9/25 W or
9/26 R / Prove Theorems about angles continued / Parallel Lines & Angles Proofs w/s / 9/27 F
9/27 F / Squiz / Review Packet / 9/30 M or
10/1 T
9/30 M or
10/1 T / Parallel & Perpendicular Lines on the Coordinate Plane / p. 194 #13 – 22, 37, 38
Bonus: #42 / 10/2 W or
10/3 R
10/2 W or
10/3 R / Review / Study Guide / 10/4 F
10/4 F / Assessment / Classifying Triangles w/s / 10/7 M or
10/8 T
Skills / 1st Grade
1. Justify statements with properties, definitions, postulates or theorems
2. Prove statements about angles
3. Find measures of angles formed by parallel lines cut by a transversal
4. Prove angles congruent or supplementary using theorems & postulates
5. Explain the relationship between the slopes of parallel lines and the slopes of perpendicular lines
6. Write the equations of lines parallel or perpendicular to a given line through a given point
City Project: Draw a city map using only a compass and straightedge that meets conditions below
Overview: City planners and designers must be able to accurately draw parallel and perpendicular lines to create a city map
Materials: Poster or blank paper, colored pencils, eraser, compass and straightedge.
Directions: Assume no two buildings can occupy the same space. Make your constructions lines light so that they can be easily be erased. Label all parallel lines with the double-arrows. Label the intersections of perpendicular lines with the right angle symbol. Draw a city with the following conditions:
1. Use a straight edge to draw and label a street across your paper.
2. Draw and label a street that intersects the previous street drawn.
3. Construct and label three streets that are parallel to one of the streets you just drew.
4. Construct at least two transversal streets that are perpendicular to the parallel streets.
5. Sketch a house and a school on a pair of consecutive interior angles.
6. Sketch a bank and a post office on a pair of corresponding angles.
7. Sketch a grocery store and an electronic store on a pair of alternate interior angles.
8. Sketchamovietheaterandapetstoreonapairofalternateexteriorangles.
9. Sketchawatertowerhalfwaybetweenthebankandthepostoffice.
10. Sketch a park exactly halfway between the grocery store and the school.
11. Sketch traffic lights on at least four intersections.
12. Sketch a hospital exactly this length away from the electronic store
Angle Names for Quick Reference:
Corresponding Angles: a & e; b & f; c & g; d & h
Alternate Interior Angles:c & f; d & e
Alternate Exterior Angles: a & h; b & g
Consecutive (Same-Side) Interior Angles: c & e; d & f
Consecutive (Same-Side) Exterior Angles: a & g; b & h