**Monday, April 20, 2015**

__Common Core Standards__

8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form

*x*2 =

*p*and

*x*3 = p, where

*p*is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

__Student Objectives__

I can determine the square root of a perfect square without a calculator.

I can find the square root of a number with a calculator.

I can determine the cube root of a perfect cube without a calculator.

I can find the cube root of a number with a calculator.

__Bellwork__

Students will complete a pretest over square roots. This pretest will be collected by the teacher upon completion.

__Lesson__(Real Number System Quiz/Introduction to Square and Cube Roots)

1. Whole: review subsets of the whole number system

2. Students will take a brief test over subsets of the real number system.

3. Watch video: Introduction to Square Roots

4. Journal entry and direct instruction: perfect squares, square roots, perfect cubes, cube roots

5. Guided practice: "Square and Cube Roots Number Line Activity"

6. Independent practice: students will complete the "Square Roots Tutorial and Practice" packet.

__Closing__

Exit ticket: "Perfect Squares"

__Students will finish the "Square Roots Tutorial and Practice" packet.__

Homework

Homework

__Video: What is a perfect square?__

Links

Links

Khan Academy Understanding square roots video

Perfect squares and square roots video on TeacherTube

Cube roots of perfect cubes game

Square root matching game

FunBrain Tic-Tac-Toe Squares-multiple choices, select squares, cubes, square roots games, or practice your basic facts

More links to videos and lessons to learn about perfect cubes and cube roots

__Files__

perfect_squares_ticket.docx | |

File Size: | 41 kb |

File Type: | docx |

square_root_basics.pdf | |

File Size: | 159 kb |

File Type: |

**Tuesday, April 21, 2015 STATE TESTING: End of Year Reading**

**Test**

__Common Core Standards__

8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form

*x*2 =

*p*and

*x*3 = p, where

*p*is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.Student Objectives

__Student Objectives__

I can determine the square root of a perfect square without a calculator.

I can find the square root of a number with a calculator.

I can determine the cube root of a perfect cube without a calculator.

I can find the cube root of a number with a calculator.

__Students will turn in their homework to the homework tray.__

Bellwork

Bellwork

Students will complete the "Perfect Square and Cube Roots Ticket."

__1. Whole class-go over bellwork__

Lesson (More Square and Cube Roots/Equations with Square and Cube Roots)

Lesson (More Square and Cube Roots/Equations with Square and Cube Roots)

2. Whole class-go over homework

3. Demonstration: calculator tips for square and cube roots

4. Cooperative practice: students will play square and cube roots memory game with a partner.

5. Direct instruction and cloze notes: "Estimating Square Roots" Notebook file

6. Guided practice: "Squares, Cubes, & Roots Practice," odds

7. Direct instruction and journal entry: solving equations with square and cube roots, examples

8. Guided practice with dry erase boards, markers, and a partner: solving equations

9. Independent practice: "Squares, Cubes, & Roots Practice," evens

__Closing__

Exit ticket: "Estimating Square Roots and Solving Equations"

__Homework__

Finish the "Squares, Cubes, and Roots Practice" worksheet, front side only

__Links__

Estimating square roots video

Estimating square roots slideshare

Radicals and roots calculator at Calculator Soup

Khan Academy video: Approximating square roots

__Files__

square_and_cube_roots_estimating_journal.notebook | |

File Size: | 5 kb |

File Type: | notebook |

**Wednesday, April 22, 2015**

__Common Core 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.

__I can identify the Pythagorean Theorem and explain its purpose.__

Student Objectives

Student Objectives

I can prove the Pythagorean Theorem using grid paper.

I can apply the Pythagorean to find a missing side length in a right triangle.

__Students will turn in homework.__

Bellwork

Bellwork

Students will complete the "Pythagorean Theorem Ticket" as a quick pre-assessment.

__Lesson__(Introduction to Pythagorean Theorem)

1. Attention generator: students will use grid paper and rulers to prove that the sum of the legs squared of any right triangle will be equivalent to the hypotenuse squared every time.

2. Watch video: "Science of NFL Football: The Pythagorean Theorem"

3. Vocabulary review "scramble": right triangle, right angle, hypotenuse, leg, sum, squared, square root, perpendicular lines, theorem. Terms will be displayed on cards around the room. The teacher will read a definition and call on a student to find and go to the answer posted in the room.

4. Journal entry and direct instruction: Pythagorean Theorem (formula) and two example-one with missing hypotenuse length, one with missing leg length

5. Guided practice: "Pythagorean Theorem Color by Number"

6. Independent practice: Finish the activity for homework.

__Closing__

Students will rate their understanding of the Pythagorean Theorem from 1 to 10.

__Homework__

Students will finish the "Pythagorean Theorem Color by Number" worksheet.

__Links__

Game Pro-terrific game to practice applying the Pythagorean Theorem. Be a hero. Defeat the villain type game.

Files

Files

pythagorean_theorem_short_answer.docx | |

File Size: | 20 kb |

File Type: | docx |

**Thursday, April 23, 2015**

__Common Core Standards__

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.

__I can apply the Pythagorean to find a missing side length in a right triangle.__

Student Objectives

Student Objectives

I can draw a picture to help me solve a problem with the Pythagorean Theorem.

__Bellwork__

Students will turn in homework.

Students will complete the "Pythagorean Word Problem Ticket."

__(Pythagorean Theorem Word Problems)__

Lesson

Lesson

1. Whole class: go over bellwork

2. Whole class: go over homework

3. Watch video: "Pythagorean Theorem/Equations" on You-Tube

4. Direct instruction, demonstration, and foldable notes for journals: 4 examples of word problems that can be solved with the Pythagorean Theorem

5. Cooperative practice with Powerpoint slides, dry erase boards/markers, and a partner: "Pythagorean Theorem Bingo"

__Closing__

3-2-1 exit ticket

__Homework__

Students will choose and complete 3 problems on the front of the "Pythagorean Word Problems" worksheet.

There will be a test on the Pythagorean Theorem on Wednesday, April 29.

__Links__

Pythagorean Theorem video with Miss Hippy

Pythagorean Theorem rap video

Rock on Pythagorus video

Pythagorean Theorem equations video

Pythagorean Theorem cartoon

Colin Dodd's Pythagorean Theorem math song

__Links__

pyth_theorem_word_problems_14_pdf.pdf | |

File Size: | 156 kb |

File Type: |

**Friday, April 24, 2015**

__Common Core Standards__

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.

__I can apply the Pythagorean Theorem to problems involving 3D figures.__

Student Objectives

Student Objectives

__Bellwork__

Lesson(Pythagorean Theorem in 3D)

Lesson

1. Whole class: go over bellwork

2. Whole class: go over homework

3. Watch video: Learn Zillion's "Apply the Pythagorean Theorem to 3D Figures"

4. Direct instruction and guided practice:

5. Cooperative practice:

__Closing__

Homework

Students will finish......

Homework

There will be a test on the Pythagorean Theorem on Wednesday, April 29.

__Links__

Files

Files