ADVANCED PROFICIENCY PLUS INSIDE THE HUMAN BODY Using Scientific and Exponential Notation Math Lesson 3: Grouping Arrangement—Large group Materials Needed: Paper, pencil Activity: Exponents can be used to write factors of numbers.These factors can be found by using a factor tree. List several numbers on the chalkboard and have students use a factor tree to break each number down to its prime factors. Ask students to write the prime factors using exponents. 100 Greg Roza MATH CONTENT STANDARD: Numbers and Operations MATH GOAL: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. MATH OBJECTIVE: Develop an understanding of large and small numbers, and recognize and appropriately use exponential and scientific notation. MATH VOCABULARY: base, decimal point, expanded form, exponent, exponential notation, negative number, place value, power, scientific notation, superscript, value Create a class chart with the following columns: Term, Page, Definition, Example. Guide students with writing the term and corresponding page number (where the term is located in the text) in the appropriate columns on the chart. Ask students to give a definition for each term and a sentence from the text in which it was used. Record and discuss student responses. Display the completed chart as a guide for vocabulary review. CONTENT VOCABULARY: anatomy, antibody, bacteria, electron, hair follicle, hormone, infection, meningitis, neuron, optical, pneumonia, virus Have students choose partners. Assign each pair two vocabulary terms. Have students locate the terms in the text and write the sentence from the book in which each appears. Ask students to give a definition in their own words and draw a visual to accompany their definition. Have students present and explain their terms to the class. NUMBERS AND OPERATIONS ACTIVITIES AND ALTERNATE PROBLEM-SOLVING STRATEGIES: Math Lesson 1: Grouping Arrangement—Large group/pairs 25 4 5 5 2 2 52 x 22 = 100 WRITING ABOUT MATH: Tell students they will play the role of teacher’s helper. Have them write an explanation of scientific notation, containing specific examples, that they would use to instruct a student who was absent when scientific notation was introduced. Ask students to share their examples and explanations with the class using a chart, overhead projector, or the chalkboard. ADDITIONAL ACTIVITIES RELATED TO CONTENT AREAS: Language Arts: Have students keep a journal of how they use numbers each day. Ask them to record examples of large and small numbers seen in newspapers, magazines, on the Internet, etc. Ask students to write each number in standard form, then write it in either exponential or scientific notation. Have them share their examples with a partner. Social Studies: Assign small groups of students to research several countries from different continents and note their populations. Have students write the populations in both standard numbers and scientific notation. Ask students to record these population numbers on a world map. Science: Have students use the charts they created from their research in Math Lesson 2 to make a class display of our solar system showing each planet and its distance from the sun written in standard form and scientific notation. Materials Needed: Large index cards (two different colors) DESCRIPTION: In Inside the Human Body, readers will learn about the inner workings of the human body. When discussing or studying the human body, it is often necessary to use numbers that are very large or very small. Inside the Human Body explores how scientific and exponential notation can be used to study aspects of human anatomy. 22 Activity: On one color card, write numbers. On the other color card, write the numbers in their exponential form. (Example: 32 and 25) Mix both sets of cards together and distribute one card to each student. Instruct students to find the student whose card matches theirs. Once all pairs are matched, have student pairs add their cards to a wall display. Math Lesson 2: Grouping Arrangement—Pairs Materials Needed: Chart paper, markers Activity: Astronomers use scientific notation in their measurements and calculations. Assign student pairs a star, planet, or moon to research. (NOTE: Make sure to assign all nine planets—the distance of each planet from the sun will be used in the science content area activity.) Ask students to find: diameter, weight, distance from the sun and other space bodies, orbit, etc. Have students record the data using the number written in standard form and in scientific notation. (Example: sun’s diameter: 862,400 or 8.624 x 105 miles; 1,391,000 or 1.391 x 106 km.) Ask students to create a chart of their information. Display student charts in the classroom. Rosen Classroom Books & Materials TM ADDITIONAL RESOURCES: Books: Parsons, Jayne. Encyclopedia of the Human Body. New York: DK Publishing, Inc., 2002. Walker, Richard. Guide to the Human Body: A Photographic Journey Through the Human Body. New York: DK Publishing, Inc., 2001. Web Sites: Human Anatomy at EnchantedLearning.com http://www.enchantedlearning.com/subjects/anatomy/titlepage.shtml Human Body for Kids http://www.kidskonnect.com/HumanBody/HumanBody.html Rosen Classroom Books & Materials TM 23 ADVANCED PROFICIENCY PLUS INSIDE THE HUMAN BODY Using Scientific and Exponential Notation Math Lesson 3: Grouping Arrangement—Large group Materials Needed: Paper, pencil Activity: Exponents can be used to write factors of numbers.These factors can be found by using a factor tree. List several numbers on the chalkboard and have students use a factor tree to break each number down to its prime factors. Ask students to write the prime factors using exponents. 100 Greg Roza MATH CONTENT STANDARD: Numbers and Operations MATH GOAL: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. MATH OBJECTIVE: Develop an understanding of large and small numbers, and recognize and appropriately use exponential and scientific notation. MATH VOCABULARY: base, decimal point, expanded form, exponent, exponential notation, negative number, place value, power, scientific notation, superscript, value Create a class chart with the following columns: Term, Page, Definition, Example. Guide students with writing the term and corresponding page number (where the term is located in the text) in the appropriate columns on the chart. Ask students to give a definition for each term and a sentence from the text in which it was used. Record and discuss student responses. Display the completed chart as a guide for vocabulary review. CONTENT VOCABULARY: anatomy, antibody, bacteria, electron, hair follicle, hormone, infection, meningitis, neuron, optical, pneumonia, virus Have students choose partners. Assign each pair two vocabulary terms. Have students locate the terms in the text and write the sentence from the book in which each appears. Ask students to give a definition in their own words and draw a visual to accompany their definition. Have students present and explain their terms to the class. NUMBERS AND OPERATIONS ACTIVITIES AND ALTERNATE PROBLEM-SOLVING STRATEGIES: Math Lesson 1: Grouping Arrangement—Large group/pairs 25 4 5 5 2 2 52 x 22 = 100 WRITING ABOUT MATH: Tell students they will play the role of teacher’s helper. Have them write an explanation of scientific notation, containing specific examples, that they would use to instruct a student who was absent when scientific notation was introduced. Ask students to share their examples and explanations with the class using a chart, overhead projector, or the chalkboard. ADDITIONAL ACTIVITIES RELATED TO CONTENT AREAS: Language Arts: Have students keep a journal of how they use numbers each day. Ask them to record examples of large and small numbers seen in newspapers, magazines, on the Internet, etc. Ask students to write each number in standard form, then write it in either exponential or scientific notation. Have them share their examples with a partner. Social Studies: Assign small groups of students to research several countries from different continents and note their populations. Have students write the populations in both standard numbers and scientific notation. Ask students to record these population numbers on a world map. Science: Have students use the charts they created from their research in Math Lesson 2 to make a class display of our solar system showing each planet and its distance from the sun written in standard form and scientific notation. Materials Needed: Large index cards (two different colors) DESCRIPTION: In Inside the Human Body, readers will learn about the inner workings of the human body. When discussing or studying the human body, it is often necessary to use numbers that are very large or very small. Inside the Human Body explores how scientific and exponential notation can be used to study aspects of human anatomy. 22 Activity: On one color card, write numbers. On the other color card, write the numbers in their exponential form. (Example: 32 and 25) Mix both sets of cards together and distribute one card to each student. Instruct students to find the student whose card matches theirs. Once all pairs are matched, have student pairs add their cards to a wall display. Math Lesson 2: Grouping Arrangement—Pairs Materials Needed: Chart paper, markers Activity: Astronomers use scientific notation in their measurements and calculations. Assign student pairs a star, planet, or moon to research. (NOTE: Make sure to assign all nine planets—the distance of each planet from the sun will be used in the science content area activity.) Ask students to find: diameter, weight, distance from the sun and other space bodies, orbit, etc. Have students record the data using the number written in standard form and in scientific notation. (Example: sun’s diameter: 862,400 or 8.624 x 105 miles; 1,391,000 or 1.391 x 106 km.) Ask students to create a chart of their information. Display student charts in the classroom. Rosen Classroom Books & Materials TM ADDITIONAL RESOURCES: Books: Parsons, Jayne. Encyclopedia of the Human Body. New York: DK Publishing, Inc., 2002. Walker, Richard. Guide to the Human Body: A Photographic Journey Through the Human Body. New York: DK Publishing, Inc., 2001. Web Sites: Human Anatomy at EnchantedLearning.com http://www.enchantedlearning.com/subjects/anatomy/titlepage.shtml Human Body for Kids http://www.kidskonnect.com/HumanBody/HumanBody.html Rosen Classroom Books & Materials TM 23
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