__Lesson Plans for Resource Math 8__

**Monday, February 9, 2015**__Common Core Standards__

****Understand congruence and similarity using physical models, transparencies and geometry software.****

8.GA.1 Verify experimentally the properties of rotations, reflections, and translations:

8.GA.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.GA.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.GA. 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.

Extended Standards: G.68.10a through G.68.12c

Student Objectives

Student Objectives

I can identify reflections.

I can reflect a given shape across the x- or y-axis.

I can explain that a reflection produces a prime image that is congruent to the original image.

__Bellwork__

Students will complete "Reflections Introduction Ticket."

Students will turn in their "Parallel City Map Projects."

__Lesson__(Reflections)

1. Whole class-go over answers to bellwork

2. Anticipatory set-"Motion Geometry Rotations, Translations, and Reflections" video at https://www.youtube.com/watch?v=NY2cDTpsvBA

3. Journal entry-reflections

4. Name reflections: Each student will get a thin sheet of patty paper. They will fold it long ways (hot dog style). Each student will then write his/her name in print or cursive so that the bottoms of the letters meet the crease. Then students will use a black (or whatever is available) permanent marker to trace over their name. The color will bleed through the crease and it will appear on the opposite side. The students need to trace over the part that bled through, creating their name on the opposite side. When this is done, they will open their paper and see a reflection of their name as if the crease were a mirror. We will discuss the ideas of reflection.

5. Guided practice-using "Reflections Practice 2" worksheet on Smartboard

6. Independent practice-using "Reflections Practice 1" worksheet, finish for homework

__Closing__

Journal entry: Draw and describe a reflection.

__Homework__

-Complete the "Reflections Practice 1" worksheet.

__Links__

Instructional video at https://www.youtube.com/watch?v=j1X_UIOvEwA

Real-world transformations video at https://www.youtube.com/watch?v=NY2cDTpsvBA

More information and an online quiz about reflections at http://www.mathsisfun.com/geometry/reflection.htm

__Files__

reflections_intro_ticket.pdf | |

File Size: | 93 kb |

File Type: |

reflections_practice_1.pdf | |

File Size: | 24 kb |

File Type: |

reflections_practice_2.pdf | |

File Size: | 24 kb |

File Type: |

transformations2.ppt | |

File Size: | 865 kb |

File Type: | ppt |

**Tuesday, February 10, 2015**__Common Core Standards__

****Understand congruence and similarity using physical models, transparencies and geometry software.****

8.GA.1 Verify experimentally the properties of rotations, reflections, and translations:

8.GA.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.GA.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.GA. 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.

Extended Standards: G.68.10a through G.68.12c

Student Objectives

Student Objectives

I can identify translations.

I can translate a given image across the x- and y-axis.

I can explain that a translation produces a prime image that is congruent to the original image.

__Bellwork__

Students will complete "Translations Introduction Ticket."

Students will turn in homework.

__Lesson__(Translations)

1. Whole class-go over bellwork

2. Whole class-go over answers to homework

3. Anticipatory set-"Geometric Transformations Presentation" video at https://www.youtube.com/watch?v=7h46hKwyahQ

4. Journal entry-translations

5. Hands-on exploration with patty paper-"Give Translations a Chance"

6. Guided practice-using "Translations Practice 1" worksheet

7. Independent practice-using "Translations Practice 2" worksheet, finish for homework

__Closing__

Journal entry: Draw and describe a translation.

__Homework__

-Students will complete the "Translations Practice 2" worksheet.

__Links__

Video lesson at https://www.youtube.com/watch?v=XdjH_EWhCZ0

Geometric transformations song at https://www.youtube.com/watch?v=0Z1aUhGCZs0

"Transformation Style" song at https://www.youtube.com/watch?v=NKtJd1hkI9k

Additional information and an online quiz about translations at http://www.mathsisfun.com/geometry/translation.html

"Shapes in Motion" game at http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/TranslateShapesShoot.htm

"Shape Mods" game at http://www.mathplayground.com/ShapeMods/ShapeMods.html

Geometric transformations games at http://jmathpage.com/JIMSGeometrytransformations.html

Files

Files

introduction_to_translations_ticket.docx | |

File Size: | 32 kb |

File Type: | docx |

translations_practice_1.pdf | |

File Size: | 24 kb |

File Type: |

translations_practice_2.pdf | |

File Size: | 24 kb |

File Type: |

translations-2.pdf | |

File Size: | 103 kb |

File Type: |

__Wednesday, February 11, 2015____Common Core Standards__

****Understand congruence and similarity using physical models, transparencies and geometry software.****

8.GA.1 Verify experimentally the properties of rotations, reflections, and translations:

8.GA.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.GA.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.GA. 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.

Extended Standards: G.68.10a through G.68.12c

Student Objectives

Student Objectives

I can identify rotations.

I can rotate a given image 90 degrees and 180 degrees clockwise and counterclockwise.

I can explain that a rotation produces a prime image that is congruent to the original image.

__Bellwork__

Students will complete "Rotations Introduction Ticket."

Students will turn in homework.

__Lesson__(Rotations)

1. Whole class-go over answers to bellwork

2. Whole class-go over answers to homework

3. Real world anticipatory set-As a class, we will discuss things that rotate. Some things that may come up in the discussion are hubcaps, the moon, tires, combination locks, hands on a clock, doorknobs, compact disks, etc. We will discuss how things that rotate have a center of rotation, an angle of rotation, and how the size and shape of the object do not change as the object turns.

4. Journal entry and demonstration-rotations

5. "Exploring Rotations" activity described at http://illuminations.nctm.org/Lesson.aspx?id=3704 and "Spinning a Shape" activity

6. Guided practice-using "Rotations Practice 1" worksheet

7. Independent practice-"Rotations Practice 2" worksheet, finish for homework

__Closing__

Journal entry: Draw and describe a rotation.

__Homework__.

-Complete "Rotations Practice 2" worksheet.

__Links__

Rotations video at http://www.virtualnerd.com/middle-math/integers-coordinate-plane/transformations/rotation-definition

__File__

introduction_to_rotations_ticket.docx | |

File Size: | 33 kb |

File Type: | docx |

rotations_practice_2.pdf | |

File Size: | 24 kb |

File Type: |

rotations_practice_1.pdf | |

File Size: | 24 kb |

File Type: |

spinning_a_shape-1.pdf | |

File Size: | 85 kb |

File Type: |

**Thursday, February 12, 2015**__Common Core Standards__

****Understand congruence and similarity using physical models, transparencies and geometry software.****

8.GA.1 Verify experimentally the properties of rotations, reflections, and translations:

8.GA.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.GA.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.GA. 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.

Extended Standards: G.68.10a through G.68.12c

Student Objectives

Student Objectives

I can identify dilations.

I can determine the scale factor of a given dilation.

I can dilate a given image by a specified scale factor.

I can explain that a dilation produces a prime image that is similar but not congruent to the original image.

Bellwork

Bellwork

Students will complete "Introduction to Dilations Ticket."

Students will turn in homework.

__Lesson__(Dilations)

1. Whole class-go over bellwork

2. Whole class-go over homework

3. Anticipatory set-Students will look into each other's eyes. The teacher will turn off the light and then turn it back on, so students can see how

eyes dilate.

4. Journal entry-dilations

5. Demonstration-using "Dilations Introduction" Powerpoint

5. Guided cooperative practice with Geoboards: After a discussion of the term dilation, the students will be grouped into pairs and each will be given a Geoboard and elastics. The teacher will call out a figure using ordered pair notation. The first student will construct it on the board. Then, the teacher will give a dilation of the original structure. The second student will demonstrate the dilation on the second board. The student will check their answers and switch roles. This will continue for several trials.

6. Independent practice-"Dilations Practice 2," finish for homework

__Closing__

Exit ticket: "Transformations ID Ticket"

Homework

Homework

-There is no homework.

__Links__

Basic dilations lesson at http://www.ck12.org/geometry/Dilation/lecture/Dilation-Principles-Basic/?referrer=featured_content

__Files__

introduction_to_dilations_ticket.docx | |

File Size: | 33 kb |

File Type: | docx |

dilations_practice_1.pdf | |

File Size: | 39 kb |

File Type: |

dilations_practice_2.pdf | |

File Size: | 39 kb |

File Type: |

dilations_introduction.pptx | |

File Size: | 83 kb |

File Type: | pptx |

**Friday, February 13, 2015**__No School__