Ms. Minner's Classroom

A Louisville Middle School Classroom

Week of April 2: Transformations Review

March 18th, 2018 by

Pentagon A’B’C’D’E’ has been dilated by a scale factor of one-third which simply means that each x and y value has been multiplied by one-third to get the new coordinates.

 

 

 

 

 

 

 

 

 

 

 


Monday, April 2

Common Core Standards and Extended Standards
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, reflect, rotate, and dilate a figure as directed.

Bellwork
Students will complete Math Minute 85.

Lesson (Dilations/Congruence vs. Similarity)
1. Pass back and go over rigid transformations quiz. Discuss frequently missed items.
2. Introduce dilations: eye dilation
3. Journal entry/notes and demonstration: dilations

Download (PDF, 61KB)

Download (DOC, 50KB)


4. Guided practice:

Download (DOCX, 33KB)


Download (PDF, 38KB)


Download (PDF, 38KB)


5. Cooperative practice: dilations worksheet

Download (DOC, 80KB)


6. Independent practice: remaining items on dilations worksheet, first page of transformations review packet, make-up transformations quiz, drawing project, IXL module 9 to-do list

Closing
Google form link in Schoology: “Rigid transformations practice 1”

Download (DOCX, 39KB)

Homework
On Wednesday, there will be a unit test over transformations. The drawing project and the IXL module 9 to-do list will be due on Friday. Finish the dilations worksheet. The transformations review worksheet is due on Wednesday before the test.


Tuesday, April 3

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, rotations, dilations and reflections.
I can explain the properties of translations, dilations, rotations, and reflections.
I can translate, reflect, and rotate a figure as directed.

Bellwork
Students will complete Math Minute 86.

Lesson (Transformations Review)
1. Go over dilations homework.
2. 
Go over first page of transformations review worksheet.
3. Review: rotations, translations, and reflections task cards
4. Review: emoji transformations
5. 
Independent or partner practice: rotations worksheet, IXL module 9 to-do list, transformations drawing project, IXL module 9 to-do list, remaining items on transformations review worksheet

Closing
Writing prompt in Schoology: “What I know about transformations…”

Homework
Tomorrow, there will be a unit test over transformations. The drawing project and the IXL module 9 to-do list will be due on Friday. Finish the transformations review worksheet.


The Pythagorean Theorem has been used for thousands of years across the globe. The Pythagorean Theorem applies to right triangles. It states that the sum of the legs squared equals the hypotenuse squared. The legs are the vertical and horizontal sides of a right triangle. The hypotenuse is the longest side. It is also the diagonal side. The Pythagorean Theorem can be used to find the distance between any two points on a coordinate grid as well as to solve many real life math problems. For example, it can be used to solve for the distance (in blocks) to school in the problem above.



Wednesday, April 4

Common Core Standards and Extended Standards
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.B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Student Objectives
I can identify translations, dilations, rotations, and reflections.
I can explain the properties of translations, dilations, rotations, and reflections.
I can translate, reflect, and rotate a figure as directed.
I can apply the Pythagorean Theorem.

Bellwork
Students will complete Math Minute 87.
Google form link in Schoology: “Rigid transformations practice 2”

Lesson (Transformations Test/Pythagorean Theorem Introduction)
1. Go over “Rigid transformations practice 2” class results. Clarify commonly missed items.
2. Go over transformations review homework.
3. Review big ideas: question/answer format
4. Transformations unit test
5. Introduction to Pythagorean Theorem: v
ideo 

Closing

Homework
Your IXL module 9 to-do list will be due on Friday. Your transformations drawing project is also due on Friday.


Thursday, April 5

Common Core Standards and Extended Standards
8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Student Objectives
I can apply the Pythagorean Theorem.

Bellwork
Students will complete Math Minute 87.
Blended learning with IXL: fifth grade math AA.7 and eighth grade math O.8 and O.5

Lesson (Pythagorean Theorem)
1. State test question challenge
2. Generate interest: “Suppose these three squares were made of beaten gold, and you were offered either the one large square or the two small squares. Which would you choose?”
3. Ask: If you draw a triangle on a coordinate grid with horizontal and vertical legs and with the vertices at the intersection of grid lines, it is easy to count grid lines to find the length of the legs. How do you find the length of the hypotenuse?
4. Demonstration: Pythagorean Theorem proof with graph paper

5. Journal entry/guided notes: Pythagorean Theorem with examples
6. Guided practice: selected items from “Pythagorean Theorem Practice” and “Pythagorean Theorem Word Problems” worksheet, odds from the sheet below

Download (PDF, 30KB)


Download (PDF, 155KB)


7. Cooperative or independent practice: remaining items on both worksheets
8. Independent work: state test practice, transformations drawing project, IXL module 9 and module 12/13 to-do lists, remaining items on Pythagorean Theorem worksheet

Closing
Blended learning with IXL: R.1 and R.2

Homework
Your transformations drawing project and IXL module 9 is due tomorrow. Finish the remaining items on the “Pythagorean Theorem Practice” and “Pythagorean Theorem Word Problems” worksheet. Work on the IXL module 12/13 to-do list.


Friday, April 6

Common Core Standards and Extended Standards
8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Student Objectives
I can apply the Pythagorean Theorem.

Bellwork
Blended learning with IXL: R.1 and R.2
Students will complete Math Minute 88.

Lesson (Calculating Distance with Pythagorean Theorem/Pythagorean Theorem in the Real World)
1. State test question challenge
2. Go over homework.
3. Journal entry/guided notes: Pythagorean Theorem word problems foldable
4. Video:

5. Demonstration and guided practice: selected items from “Calculating Distance” worksheet and Pythagorean Theorem bingo

Download (PDF, 21KB)

Download (PDF, 21KB)


6. Cooperative practice: Pythagorean Theorem task cards (Footloose game)
7. Independent practice: state test practice, XtraMath, IXL R.1-R.4

Closing
IXL R.5

Download (DOCX, 20KB)

Closing

Download (DOCX, 20KB)


Homework
Complete the Pythagorean Theorem color by number worksheet. Complete the remaining problems on the distance worksheet. There is a quiz on Monday. Work on the IXL module 12/13 to-do list.