Ms. Minner's Classroom

A Louisville Middle School Classroom

Week of March 5: Angles & Transformations

February 19th, 2018 by

Polygons are “congruent if their sides and angles can be paired so that all of the corresponding pairs of sides and angles are congruent.” Translations, reflections, rotations, and dilations are transformations. Translations, reflections, and rotations create images that are congruent to the original figures. Transformations that do not change the size of the original figure (called the pre-image) are called rigid transformations.

Dilations create images that are smaller or larger than the original figures but retain the same shape. The corresponding angles of the original figure and the new image are congruent but their side lengths are not. In a dilation, the original figure and the new image are similar (same shape, proportional sizes).

In elementary school, a translation was called a slide. A reflection was called a flip, and a rotation was called a turn.


Monday, March 5

(Plans carried over from previous week)

Common Core Standards and Extended Standards
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.
8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Student Objectives
I can identify angles created by parallel lines intersected by a transversal.
I can identify supplementary angles.
I can identify congruent angles.
I can calculate a missing angle measure in a triangle or quadrilateral.
I can identify the sum of the exterior angles of a polygon.
I can determine the sum of the interior angles of a polygon.
I can identify and compute missing angle measures.

Bellwork
Students will complete Math Minute 75.
IXL, geometry: C.1 Angle vocabulary & B.1 Lines, segments, and rays

Lesson (Geometry & Algebra/Basic Geometry Review)
1. Go over homework: geometry review worksheet
2. IXL trouble spots
3. Angle relationships hot seat game
4. Kahoot!: Transversals
5. Cooperative practice: parallel lines & angles math lib
6. Quizlet Live: geometry
7. Independent practice: parallel city project, IXL module 11 to-do list

Closing
IXL module 11 to-do list items

Download (DOCX, 27KB)


Homework
The test over basic geometry is tomorrow. The parallel city map project is due Friday. The IXL module 11 to-do list is due tomorrow. Use the links in the “parallel lines and angle relationships” folder of our Schoology course to review for your test. Kahoot, Quizlet, and IXL are also excellent tools for test review. The links are in the “basic information” folder of our Schoology course.


Tuesday, March 6

(Plans carried over from previous week)
(Substitute teacher today)

Common Core Standards and Extended Standards
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.
8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Student Objectives
I can identify angles created by parallel lines intersected by a transversal.
I can identify supplementary angles.
I can identify congruent angles.
I can calculate a missing angle measure in a triangle or quadrilateral.
I can identify the sum of the exterior angles of a polygon.
I can determine the sum of the interior angles of a polygon.
I can identify and compute missing angle measures.

Bellwork
Students will complete Math Minute 76.

Lesson (Basic Geometry Test)
1. Go over homework.
2. Review big ideas.
3. Geometry test
4. IXL continuous diagnostic for 10 minutes
5. Independent work: IXL module 11 to-do list (due today), parallel city map project (due Friday)

Homework
The parallel city map project is due on Friday. Work on your IXL module 9 to-do list (due March 22) and your IXL “Just for You” to-do list (due March 22).


Wednesday, March 7

Common Core Standards and Extended Standards
8.G.1 Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. 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.

Student Objectives
I can identify translations, dilations, rotations, and reflections.
I can explain the properties of translations, dilations, rotations, and reflections.
I can translate a given figure as directed.

Bellwork
Students will complete Math Minute 77.

Lesson (Introduction to Transformations/Plotting Points/Measuring Angles/Reflections)
1. Demonstration: Measuring Angles with a Protractor
2. Independent practice: Measuring Angles with a Protractor and Alien Angles on Chromebooks
3. Introduction to transformations: motion geometry video-how transformations are used in movies

4. Anticipatory set: What changes when you slide an object (book, pencil, ruler, calculator) from one corner of your desk to another? Does the size or shape of the object change?
5. Journal entry: definitions of transformation, preimage, image, and translation

Download (PDF, 48KB)


6. Explore: Transformations with Patty Paper

Download (DOCX, 54KB)


7. Demonstration: how to reflect a given figure as directed, selected items from reflections worksheet
8. Guided practice: #4, 7, 8, and 9 on reflections homework worksheet

Download (PDF, 24KB)


9. Blended learning: IXL P.5 and P.6
10. Independent practice: reflections homework, IXL module 9 to-do list, parallel city map project

Closing

Homework
Finish pages 283 and 284 in your workbook. The parallel city map project is due on Friday. Work on the IXL module 9 to-do list.

PBS Reflections Video


Thursday, March 8

Common Core Standards and Extended Standards
8.G.1 Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. 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.

Student Objectives
I can identify translations, dilations, rotations, and reflections.
I can explain the properties of translations, dilations, rotations, and reflections.
I can 
reflect a given point or figure as directed.
I can translate a given point or figure as directed.

Bellwork
Students will complete Math Minute 78.

Lesson (Translations)
1. Anticipatory set: Ms. PacMan discussion
2. Go over homework: reflections worksheet
3. Video introduction:

4. Demonstration, examples, and guided practice: IXL P.3 & P.4 and translations worksheet, odds

Download (PDF, 48KB)


5. Independent practice: evens on translations worksheet, IXL N.1 through N.4 (coordinate plane review)
and pages 283 and 284 in GoMath workbook

Closing
Exit ticket:

Download (DOCX, 31KB)

PBS Translations Video

Homework
Complete the remaining items on the translations worksheet. There will be a quiz over transformations on Tuesday. Your parallel city map project is due tomorrow.


Friday, March 9

Common Core Standards and Extended Standards
8.G.1 Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. 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.

Student Objectives
I can identify translations, dilations, rotations, and reflections.
I can explain the properties of translations, dilations, rotations, and reflections.
I can reflect 
a pre-image as directed.
I can translate a pre-image as directed.

Bellwork
Students will complete Math Minute 79.

Lesson (STAR Math Benchmark/Reflections)
1. XtraMath challenge
2. Go over homework: translations worksheet.
3. Identify the transformation hot seat game
4. Introduce transformations project: logo project or drawing project (student choice)
5. STAR math benchmark: no calculators
6. IXL continuous diagnostic: 10 minutes, calculator permitted
 
7. Independent practice: IXL module 9 to-do list, transformations logo project

Closing

Homework
Work on your IXL module 9 to-do list and your IXL “Just for You” to-do list. On Tuesday, there will be a quiz over rigid transformations.

PBS Reflections Video