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 x2 = p and x3 = 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"
Homework
Students will finish the "Square Roots Tutorial and Practice" packet.
Links
Video: What is a perfect square?
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
Common Core Standards
8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = 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"
Homework
Students will finish the "Square Roots Tutorial and Practice" packet.
Links
Video: What is a perfect square?
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 x2 = p and x3 = 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.
Bellwork
Students will turn in their homework to the homework tray.
Students will complete the "Perfect Square and Cube Roots Ticket."
Lesson (More Square and Cube Roots/Equations with Square and Cube Roots)
1. Whole class-go over bellwork
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
Common Core Standards
8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = 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.
Bellwork
Students will turn in their homework to the homework tray.
Students will complete the "Perfect Square and Cube Roots Ticket."
Lesson (More Square and Cube Roots/Equations with Square and Cube Roots)
1. Whole class-go over bellwork
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.
Student Objectives
I can identify the Pythagorean Theorem and explain its purpose.
I can prove the Pythagorean Theorem using grid paper.
I can apply the Pythagorean to find a missing side length in a right triangle.
Bellwork
Students will turn in homework.
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
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.
Student Objectives
I can identify the Pythagorean Theorem and explain its purpose.
I can prove the Pythagorean Theorem using grid paper.
I can apply the Pythagorean to find a missing side length in a right triangle.
Bellwork
Students will turn in homework.
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
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.
Student Objectives
I can apply the Pythagorean to find a missing side length in a right triangle.
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."
Lesson (Pythagorean Theorem Word Problems)
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
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.
Student Objectives
I can apply the Pythagorean to find a missing side length in a right triangle.
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."
Lesson (Pythagorean Theorem Word Problems)
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.
Student Objectives
I can apply the Pythagorean Theorem to problems involving 3D figures.
Bellwork
Lesson (Pythagorean Theorem in 3D)
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......
There will be a test on the Pythagorean Theorem on Wednesday, April 29.
Links
Files
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.
Student Objectives
I can apply the Pythagorean Theorem to problems involving 3D figures.
Bellwork
Lesson (Pythagorean Theorem in 3D)
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......
There will be a test on the Pythagorean Theorem on Wednesday, April 29.
Links
Files