Ms. Minner's Classroom

A Louisville Middle School Classroom

Week of April 9: Pythagorean Theorem & Volume

April 1st, 2018 by

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 height of the building in the problem above.


Monday, April 9

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 86.
Review Pythagorean Theorem: video (carried over from last week)

Lesson (Calculating Distance with the Pythagorean Theorem & Word Problems)
1. State test question challenge

2. 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? (Carried over from last week)
3. Demonstration: Pythagorean Theorem proof with graph paper

4. Go over Pythagorean Theorem homework from last Thursday, #1-12.
5. Guided practice: selected items from “Pythagorean Theorem Word Problems” worksheet, odds from the sheet below

Download (PDF, 30KB)


Download (PDF, 155KB)


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

Closing
Assignment in Schoology: “Create a word problem that can be solved with the Pythagorean Theorem.”

Homework
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. It is due on April 16. You will have a quiz over the Pythagorean Theorem on Thursday.


Tuesday, April 10

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.

Lesson (Calculating Distance with the Pythagorean Theorem/Pythagorean Theorem & 3D Problems)
1. State test question challenge

Download (DOCX, 57KB)


2. Go over homework.
3. Video:

4. Pythagorean Theorem knockout game
5. Demonstration and guided practice: selected items from “Calculating Distance” worksheet and “Pythagorean Theorem & 3D”

Download (PDF, 21KB)

Download (PDF, 21KB)


6. Demonstration and guided practice: Pythagorean theorem & 3D shapes
7. Pythagorean Theorem word problem bingo
8. Pythagorean Theorem task cards (footloose game)
9. Demonstration and guided practice: Pythagorean theorem & 3D shapes
10. Cooperative practice: finish the Pythagorean theorem worksheet with a partner (or independently, if you prefer)

11. Independent practice: state test practice, XtraMath, IXL mods 12/13 to-do list

Closing
IXL R.5

Download (DOCX, 20KB)

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 Thursday. Work on the IXL module 12/13 to-do list. It will be due on April 16.


Wednesday, April 11

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 88.

Lesson (Pythagorean Theorem Review)
1. State test question challenge

Download (DOCX, 82KB)


2. Go over homework.
3. Cooperative practice: Pythagorean Theorem review worksheet with a partner(s)
4. Independent practice: FACEing math lesson 19 “Square Roots & Pythagorean Theorem”

Closing
Journal entry/self-assessment: “What I can do with the Pythagorean Theorem……”

Homework
Finish the FACEing Math lesson 19 worksheet. You will have a quiz over Pythagorean Theorem tomorrow. The IXL mods 12/13 to-do list is due on April 16.


Thursday, April 12

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.
8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Student Objectives
I can apply the Pythagorean Theorem.
I can calculate the volume of cones, cylinders, and spheres when given the formulas.

Bellwork
Students will complete Math Minute 89.
IXL trouble spots: Pythagorean Theorem items

Lesson (Pythagorean Theorem Quiz/Volume Introduction)
1. State test question challenge

Download (DOCX, 89KB)


2. Go over homework.
3. Review key skills and concepts
4. Pythagorean Theorem quiz
5. “Name that 3-D shape” vocabulary game
6. Review volume of rectangular prisms: mystery box explore activity
7. Interest generator for volume unit: cone vs. cylinder water demonstration
8. Journal entry/guided notes: volume formulas-cone, cylinder, and sphere in a 3 panel flip book
9. Guided practice: workbook #4 & 5 on page 401, #3 on page 402, #4 & 5 on page 407, and #2 & 3 on page 412
10. Independent or partner practice #1-17 on pages 403 & 404, #3-18 on pages 408 & 409, IXL mods 12/13 to-do list

Closing

Homework
Complete the rest of the problems on pages 403, 404, 408, and 409 in your workbook.


Friday, April 13

Common Core Standards and Extended Standards
8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Student Objectives
I can apply the Pythagorean Theorem.
I can calculate the volume of cones, cylinders, and spheres when given the formulas.

Bellwork
Students will complete Math Minute 90.

Lesson (Volume)
1. State test question challenge
2. Go over homework.
3. Finish guided notes: volume formulas for cone, cylinder, and sphere
4. Guided practice with dry erase boards and markers

Download (DOCX, 38KB)


5. Cooperative practice: HRW workbook pages 401-404, 407-409, and 412-415 with a partner (or alone, student choice)
6. Independent practice: state test practice, equation tool tutorial, IXL mods 12/13 to-do list, volume homework paper

Closing
Journal entry/writing prompt: “One thing I learned in math this week……….”

Homework
Finish any items on pages 403, 404, 408, 409, 414, and 415 that you did not get done in class. Work on your IXL mods 12/13 to-do list. It is due on April 16. You will have a test/quiz over volume on April 16 or 17.