Monday, April 13, 2015
Common Core Standards
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of ten to estimate very large or very small quantities, and to express how many times as much one is than the other.
8.EE.A.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Student Objectives
Given a number in scientific notation, I can write it in standard form.
I can add and subtract numbers given to me in scientific notation.
Bellwork
Students will turn in homework.
Students will complete rating ticket for Friday's scientific notation scramble.
Students will complete the scientific notation conversions quiz.
Lesson (Adding and Subtracting in Scientific Notation)
1. Whole class: go over homework
2. Watch video: adding and subtracting in scientific notation
3. Journal entry/direct instruction: examples and steps for adding and subtracting numbers written in scientific notation, connect to adding and subtracting exponents with the same base
4. Guided cooperative practice: task cards, dry erase boards, markers
5. Independent practice: students will work on the scientific notation adding and subtracting worksheet. They will finish it for homework.
Closing
Exit ticket: "Rate your understanding of today's topic from 1 to 10."
Homework
Complete the adding and subtracting in scientific notation worksheet given to you in class today.
Links
Scientific notation-adding and subtracting video
Subtracting scientific notation calculator
Files
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
Common Core Standards
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of ten to estimate very large or very small quantities, and to express how many times as much one is than the other.
8.EE.A.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Student Objectives
Given a number in scientific notation, I can write it in standard form.
I can add and subtract numbers given to me in scientific notation.
Bellwork
Students will turn in homework.
Students will complete rating ticket for Friday's scientific notation scramble.
Students will complete the scientific notation conversions quiz.
Lesson (Adding and Subtracting in Scientific Notation)
1. Whole class: go over homework
2. Watch video: adding and subtracting in scientific notation
3. Journal entry/direct instruction: examples and steps for adding and subtracting numbers written in scientific notation, connect to adding and subtracting exponents with the same base
4. Guided cooperative practice: task cards, dry erase boards, markers
5. Independent practice: students will work on the scientific notation adding and subtracting worksheet. They will finish it for homework.
Closing
Exit ticket: "Rate your understanding of today's topic from 1 to 10."
Homework
Complete the adding and subtracting in scientific notation worksheet given to you in class today.
Links
Scientific notation-adding and subtracting video
Subtracting scientific notation calculator
Files
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
scientific_notation_add_and_subtract.pdf | |
File Size: | 30 kb |
File Type: |
Tuesday, April 14, 2015
Common Core Standards
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of ten to estimate very large or very small quantities, and to express how many times as much one is than the other.
8.EE.A.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology
Student Objectives
Given a number in scientific notation, I can write it in standard form.
I can multiply and divide numbers written in scientific notation.
Bellwork
Students will turn in homework.
Students will complete the "Scientific Notation: Adding and Subtracting Ticket."
Lesson (Multiplying and Dividing Numbers in Scientific Notation)
1. Whole class: go over homework
2. Whole class: go over bellwork
3. Watch video: multiplying in scientific notation
4. Journal entry/direct instruction: rules and examples for multiplying in scientific notation, link to multiplying exponents with same bases
5. Watch video: dividing in scientific notation
6. Journal entry/direct instruction: rules and examples for dividing in scientific notation, link to dividing exponents with same bases
5. Demonstration: calculator tips for scientific notation
6. Guided cooperative practice: task cards, dry erase boards, markers
7. Independent practice: students will work on the scientific notation multiplication and division worksheet. They will finish it for homework.
Closing
Exit ticket:
Homework
Students will complete the scientific notation multiplication and division worksheet they started in class.
Links
Scientific notation video-multiplying and dividing
Multiplying and dividing in scientific notation video
Scientific notation video-multiplication and division
Multiply numbers in scientific notation Learn Zillion video
Scientific notation online quiz
Multiplying scientific notation numbers interactive (scroll halfway down the page)
Online practice questions
Files
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
Common Core Standards
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of ten to estimate very large or very small quantities, and to express how many times as much one is than the other.
8.EE.A.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology
Student Objectives
Given a number in scientific notation, I can write it in standard form.
I can multiply and divide numbers written in scientific notation.
Bellwork
Students will turn in homework.
Students will complete the "Scientific Notation: Adding and Subtracting Ticket."
Lesson (Multiplying and Dividing Numbers in Scientific Notation)
1. Whole class: go over homework
2. Whole class: go over bellwork
3. Watch video: multiplying in scientific notation
4. Journal entry/direct instruction: rules and examples for multiplying in scientific notation, link to multiplying exponents with same bases
5. Watch video: dividing in scientific notation
6. Journal entry/direct instruction: rules and examples for dividing in scientific notation, link to dividing exponents with same bases
5. Demonstration: calculator tips for scientific notation
6. Guided cooperative practice: task cards, dry erase boards, markers
7. Independent practice: students will work on the scientific notation multiplication and division worksheet. They will finish it for homework.
Closing
Exit ticket:
Homework
Students will complete the scientific notation multiplication and division worksheet they started in class.
Links
Scientific notation video-multiplying and dividing
Multiplying and dividing in scientific notation video
Scientific notation video-multiplication and division
Multiply numbers in scientific notation Learn Zillion video
Scientific notation online quiz
Multiplying scientific notation numbers interactive (scroll halfway down the page)
Online practice questions
Files
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
scientific_notation_multiplication_and_division.docx | |
File Size: | 165 kb |
File Type: | docx |
scientific_notation_add_subtract_ticket.docx | |
File Size: | 19 kb |
File Type: | docx |
Wednesday, April 15, 2015
Common Core Standards
8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Student Objectives
I can identify natural numbers, whole numbers, integers, rational, irrational, and real numbers.
Bellwork
Students will complete a brief pretest over the subsets of the real number system.
Students will turn in homework.
Lesson (Introduction to the Real Number System)
1. Whole class-go over homework.
2. Watch video: Colin Dodd's Number Types song
3. Direct instruction: students will create a real number system foldable with definitions, examples, and non-examples for each subset of numbers
4. Guided cooperative practice: "Real Number System Organizing Numbers Activity"
5. Independent practice: students will work on the real numbers systems chart. They will finish it for homework.
Closing
Exit ticket:
Homework
Students will complete the number system chart worksheet.
Links
The Real Number System video
Schmoop's Irrational and Rational Numbers video
Files
Common Core Standards
8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Student Objectives
I can identify natural numbers, whole numbers, integers, rational, irrational, and real numbers.
Bellwork
Students will complete a brief pretest over the subsets of the real number system.
Students will turn in homework.
Lesson (Introduction to the Real Number System)
1. Whole class-go over homework.
2. Watch video: Colin Dodd's Number Types song
3. Direct instruction: students will create a real number system foldable with definitions, examples, and non-examples for each subset of numbers
4. Guided cooperative practice: "Real Number System Organizing Numbers Activity"
5. Independent practice: students will work on the real numbers systems chart. They will finish it for homework.
Closing
Exit ticket:
Homework
Students will complete the number system chart worksheet.
Links
The Real Number System video
Schmoop's Irrational and Rational Numbers video
Files
real_number_system_organizing_numbers_activity.doc | |
File Size: | 60 kb |
File Type: | doc |
0306_real_number_system.pdf | |
File Size: | 172 kb |
File Type: |
Thursday, April 16, 2015
Common Core Standards
8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Student Objectives
I can identify natural numbers, whole numbers, integers, rational, irrational, and real numbers.
I can differentiate between rational and irrational numbers.
Bellwork
Students will complete the "Real Number Subsets Ticket."
Students will turn in homework.
Lesson (Rational and Irrational Numbers)
1. Whole class-go over homework.
2. Watch video: Schmoop's Irrational and Rational Numbers
3. Finish real number system foldable with definitions, examples, and non-examples of rational and irrational numbers.
4. Cooperative guided practice: number system sorting mats activity
5. Independent practice with Chromebooks: students will play "Number Systems Muncher" game
Closing
Exit ticket: Rational and Irrational Numbers Examples Ticket
Homework
Students will complete the "Rational/Irrational Numbers Organizer."
Links
Rational and irrational numbers rap
LearLearn Zillion's distinguish between rational and irrational numbers video
Rational and irrational numbers game
Rational numbers Jeopardy
Rational or irrational? game
Number System Muncher
Online practice questions-rational and irrational numbers
Files
Common Core Standards
8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Student Objectives
I can identify natural numbers, whole numbers, integers, rational, irrational, and real numbers.
I can differentiate between rational and irrational numbers.
Bellwork
Students will complete the "Real Number Subsets Ticket."
Students will turn in homework.
Lesson (Rational and Irrational Numbers)
1. Whole class-go over homework.
2. Watch video: Schmoop's Irrational and Rational Numbers
3. Finish real number system foldable with definitions, examples, and non-examples of rational and irrational numbers.
4. Cooperative guided practice: number system sorting mats activity
5. Independent practice with Chromebooks: students will play "Number Systems Muncher" game
Closing
Exit ticket: Rational and Irrational Numbers Examples Ticket
Homework
Students will complete the "Rational/Irrational Numbers Organizer."
Links
Rational and irrational numbers rap
LearLearn Zillion's distinguish between rational and irrational numbers video
Rational and irrational numbers game
Rational numbers Jeopardy
Rational or irrational? game
Number System Muncher
Online practice questions-rational and irrational numbers
Files
rational_irrational_numbers_organizer.docx | |
File Size: | 16 kb |
File Type: | docx |
Friday, April 17, 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 approximate the square root of a number without a calculator.
Bellwork
Students will turn in homework.
Students will complete a pretest over square roots.
Lesson (Square Roots)
1. Whole class: go over homework
2. Watch video: Introduction to Square Roots
Closing
Exit ticket: "Perfect Squares"
Homework
Links
Video: What is a perfect square?
Khan Academy Understanding square roots video
Perfect squares and square roots video on TeacherTube
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 approximate the square root of a number without a calculator.
Bellwork
Students will turn in homework.
Students will complete a pretest over square roots.
Lesson (Square Roots)
1. Whole class: go over homework
2. Watch video: Introduction to Square Roots
Closing
Exit ticket: "Perfect Squares"
Homework
Links
Video: What is a perfect square?
Khan Academy Understanding square roots video
Perfect squares and square roots video on TeacherTube
Files