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Title: Let's Get SCIENTIFIC with Numbers!
Description:
Using calculators, students will write and interpret large and small numbers using scientific and calculator notation. This exploration will also help students to develop an understanding of the ways exponents are used in writing and multiplying large and small numbers using scientific notation.
Standard(s): [MA2013] (8) 5: 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. [8EE3] [MA2013] (8) 6: 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. [8EE4]
Subject: Mathematics (8)
Title: Let's Get SCIENTIFIC with Numbers!
Description: Using calculators, students will write and interpret large and small numbers using scientific and calculator notation. This exploration will also help students to develop an understanding of the ways exponents are used in writing and multiplying large and small numbers using scientific notation.
Thinkfinity Lesson Plans
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Title: Travel in the Solar System: Lesson 1
Description:
In this lesson, one of a multipart unit from Illuminations, students consider the amount of time that space travelers must spend on their journey. Students improve their concept of time and distance.
Standard(s): [MA2013] (6) 20: Use variables to represent two quantities in a realworld problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. [6EE9] [MA2013] (8) 6: 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. [8EE4] [MA2013] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8EE5]
Subject: Mathematics,Science Title: Travel in the Solar System: Lesson 1
Description: In this lesson, one of a multipart unit from Illuminations, students consider the amount of time that space travelers must spend on their journey. Students improve their concept of time and distance. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Making Your First Million
Description:
In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers.
Standard(s): [MA2013] (3) 3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 2.) [3OA3] [MA2013] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9] [MA2013] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2] [MA2013] (5) 5: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use wholenumber exponents to denote powers of 10. [5NBT2] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3] [MA2013] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1] [MA2013] (8) 6: 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. [8EE4]
Subject: Mathematics Title: Making Your First Million
Description: In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: How Much is a Million?
Description:
This lesson focuses students on the concept of 1,000,000. It allows students to see firsthand the sheer size of a million while at the same time providing students with an introduction to sampling and its use in mathematics. Students will use grains of rice and a balance to figure out the approximate volume and mass of 1,000,000 grains of rice.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6RP1] [MA2013] (6) 2: Understand the concept of a unit rate ^{a}/_{b} associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. [6RP2] [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (8) 6: 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. [8EE4]
Subject: Language Arts,Mathematics Title: How Much is a Million?
Description: This lesson focuses students on the concept of 1,000,000. It allows students to see firsthand the sheer size of a million while at the same time providing students with an introduction to sampling and its use in mathematics. Students will use grains of rice and a balance to figure out the approximate volume and mass of 1,000,000 grains of rice. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Numbers and Language
Description:
In this fivelesson unit, from Illuminations, students participate in activities in which they focus on the role of numbers and language in realworld situations. Students discuss, describe, read, and write about numbers they find in familiar realworld situations. An emphasis on using components of language helps students build a broader vocabulary of numbers than the traditional symbolic representation of numbers.
Standard(s): [MA2013] (4) 17: Use decimal notation for fractions with denominators 10 or 100. [4NF6] [MA2013] (5) 10: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. [5NBT7] [MA2013] (6) 4: Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem. [6NS1] [MA2013] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (7) 5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7NS2] [MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3] [MA2013] (8) 6: 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. [8EE4] [ELA2013] (3) 28: Conduct short research projects that build knowledge about a topic. [W.3.7] [ELA2013] (4) 28: Conduct short research projects that build knowledge through investigation of different aspects of a topic. [W.4.7] [ELA2013] (5) 28: Conduct short research projects that use several sources to build knowledge through investigation of different aspects of a topic. [W.5.7] [ELA2013] (6) 14: Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings. [RI.6.4] [ELA2013] (6) 17: Integrate information presented in different media or formats (e.g., visually, quantitatively) as well as in words to develop a coherent understanding of a topic or issue. [RI.6.7] [ELA2013] (6) 18: Trace and evaluate the argument and specific claims in a text, distinguishing claims that are supported by reasons and evidence from claims that are not. [RI.6.8] [ELA2013] (6) 20: By the end of the year, read and comprehend literary nonfiction in the Grades 68 text complexity band proficiently, with scaffolding as needed at the high end of the range. [RI.6.10] [ELA2013] (7) 13: Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings; analyze the impact of a specific word choice on meaning and tone. [RI.7.4] [ELA2013] (7) 19: By the end of the year, read and comprehend literary nonfiction in the Grades 68 text complexity band proficiently, with scaffolding as needed at the high end of the range. [RI.7.10] [ELA2013] (8) 10: Cite the textual evidence that most strongly supports an analysis of what the text says explicitly as well as inferences drawn from the text. [RI.8.1] [ELA2013] (8) 19: By the end of the year, read and comprehend literary nonfiction at the high end of the
Grades 68 text complexity band independently and proficiently. [RI.8.10]
Subject: Language Arts,Mathematics Title: Numbers and Language
Description: In this fivelesson unit, from Illuminations, students participate in activities in which they focus on the role of numbers and language in realworld situations. Students discuss, describe, read, and write about numbers they find in familiar realworld situations. An emphasis on using components of language helps students build a broader vocabulary of numbers than the traditional symbolic representation of numbers. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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Title: Cell Size and Scale
Description:
This tool from Science NetLinks shares a simple interactive from the University of Utah's Genetic Science Learning Center that gives students the opportunity to see how various small things compare to one another.
Standard(s): [MA2013] (8) 5: 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. [8EE3] [MA2013] (8) 6: 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. [8EE4]
Subject: Mathematics Title: Cell Size and Scale
Description: This tool from Science NetLinks shares a simple interactive from the University of Utah's Genetic Science Learning Center that gives students the opportunity to see how various small things compare to one another. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8,9,10,11,12
Web Resources
Interactives/Games
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Title: Free Puzzles
Description:
Free Puzzles is a website that contains a wide variety of interactive mathematics puzzles.
Standard(s): [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (8) 6: 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. [8EE4]
Free Puzzles
http://www.freepuzzl...
Free Puzzles is a website that contains a wide variety of interactive mathematics puzzles.

