ALEX Lesson Plans
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Title: Exponents and Division
Description:
This activity will introduce the exponent and division rule, the zero exponent rule, and the negative exponent rule. Students will make a human fraction to discover the division rule for exponents. The lesson will also introduce various interactive sites for reviewing exponent rules.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2]
Subject: Mathematics (9  12)
Title: Exponents and Division
Description: This activity will introduce the exponent and division rule, the zero exponent rule, and the negative exponent rule. Students will make a human fraction to discover the division rule for exponents. The lesson will also introduce various interactive sites for reviewing exponent rules.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Just the facts! Exploring Order of Operations and Properties of Real Numbers
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Students use their imagination while learning the importance of 'Order of Operations' and 'Properties of Real Numbers'. This lesson incorporates class discussions, wiki and/or online discussion threads (free at www.wikispace.com and/or quicktopic.com), art and puzzles.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [TC2] CA2 (912) 8: Practice safe uses of social networking and electronic communication. [AED] VA1 (712) 2: Create original works of art using reflective ideas, personal experiences, and imaginary content. [TC2] CA2 (912) 9: Practice ethical and legal use of technology systems and digital content. [TC2] CA2 (912) 11: Critique digital content for validity, accuracy, bias, currency, and relevance. [TC2] CA2 (912) 12: Use digital tools to publish curriculumrelated content. [MA2013] (7) 4: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. [7NS1] [MA2013] (5) 1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. [5OA1] [MA2013] AL1 (912) 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [NRN1] [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2]
Subject: Arts Education (7  12), or Mathematics (5  12), or Technology Education (9  12)
Title: Just the facts! Exploring Order of Operations and Properties of Real Numbers
Description: Students use their imagination while learning the importance of 'Order of Operations' and 'Properties of Real Numbers'. This lesson incorporates class discussions, wiki and/or online discussion threads (free at www.wikispace.com and/or quicktopic.com), art and puzzles.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Calendar Fun Operations
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This activity is designed to help students evaluate numerical expressions by using order of operations. The students will be provided a calendar for the current month of the year. Students will then be provided with a worksheet that contains 30 expressions and a different symbol for each expression. The students will manually calculate each expression using order of operations. Once the numerical value has been discovered for each expression, the symbol next to the expression will be drawn on the calendar for that date. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (7) 4: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. [7NS1] [MA2013] (7) 5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7NS2] [MA2013] (7) 6: Solve realworld and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7NS3] [MA2013] (7) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7EE1] [MA2013] AL1 (912) 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [NRN1] [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2]
Subject: Mathematics (7  12)
Title: Calendar Fun Operations
Description: This activity is designed to help students evaluate numerical expressions by using order of operations. The students will be provided a calendar for the current month of the year. Students will then be provided with a worksheet that contains 30 expressions and a different symbol for each expression. The students will manually calculate each expression using order of operations. Once the numerical value has been discovered for each expression, the symbol next to the expression will be drawn on the calendar for that date. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Writing Word Equations
Description:
The students will learn to write word and formula equations. We will watch a web video about chemical equations. We will then complete the science in motion lab “The Color of Chemistry”. The students will also be required to write word and formula equations.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [S1] PHS (912) 4: Use nomenclature and chemical formulas to write balanced chemical equations. [S1] CHE (912) 6: Solve stoichiometric problems involving relationships among the number of particles, moles, and masses of reactants and products in a chemical reaction. [S1] CHE (912) 6: Solve stoichiometric problems involving relationships among the number of particles, moles, and masses of reactants and products in a chemical reaction. [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2] [MA2013] AL2 (912) 2: Use the relation i^{2} = 1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. [NCN2] [MA2013] AL2 (912) 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8] [MA2013] ALC (912) 1: Create algebraic models for applicationbased problems by developing and solving equations and inequalities, including those involving direct, inverse, and joint variation. (Alabama) [MA2013] ALT (912) 2: Use the relation i^{2} = 1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. [NCN2] [MA2013] ALT (912) 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8]
Subject: Mathematics (9  12), or Science (9  12)
Title: Writing Word Equations
Description: The students will learn to write word and formula equations. We will watch a web video about chemical equations. We will then complete the science in motion lab “The Color of Chemistry”. The students will also be required to write word and formula equations.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: You Mean ANYTHING To The Zero Power Is One?
Description:
This lesson is a technologybased project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization.
Standard(s): [TC2] CA2 (912) 5: Utilize advanced features of spreadsheet software, including creating charts and graphs,
sorting and filtering data, creating formulas, and applying functions. [MA2013] ALT (912) 30: Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7] [MA2013] ALC (912) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] AL1 (912) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [SID6] [MA2013] AL1 (912) 32: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8] [MA2013] AL1 (912) 29: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* [FIF5] [MA2013] AL1 (912) 26: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. [FIF2] [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2] [MA2013] AL1 (912) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] PRE (912) 16: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. (Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Determine odd, even, neither.)* [FIF4] (Alabama) [MA2013] AL2 (912) 30: Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7] [MA2013] AL1 (912) 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [FIF9] [MA2013] AL2 (912) 21: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL1 (912) 31: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7] [MA2013] AL1 (912) 28: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.* [FIF4] [MA2013] AL1 (912) 22: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). [AREI10] [MA2013] AL1 (912) 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [NRN1] [MA2013] AL1 (912) 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* [ASSE3]
Subject: Mathematics (9  12), or Technology Education (9  12)
Title: You Mean ANYTHING To The Zero Power Is One?
Description: This lesson is a technologybased project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization.
Thinkfinity Lesson Plans
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Title: Strong Arm Iteration
Description:
This reproducible worksheet, from an Illuminations lesson, guides students as they take a threedigit number, cube its digits and add them. They do the same with the sum and continue the process until they notice a pattern.
Standard(s): [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2] [MA2013] DM1 (912) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)
Subject: Mathematics Title: Strong Arm Iteration
Description: This reproducible worksheet, from an Illuminations lesson, guides students as they take a threedigit number, cube its digits and add them. They do the same with the sum and continue the process until they notice a pattern. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Exact Ratio
Description:
This reproducible activity sheet, from an Illuminations lesson, features a series of questions pertaining to exact ratios and geometric sequences. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.
Standard(s): [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2] [MA2013] AL1 (912) 28: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.* [FIF4] [MA2013] AL1 (912) 31: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7] [MA2013] AL1 (912) 32: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8] [MA2013] AL1 (912) 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [FIF9] [MA2013] AL1 (912) 34: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] AL1 (912) 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [FLE1] [MA2013] AL1 (912) 38: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs (include reading these from a table). [FLE2] [MA2013] AL1 (912) 39: Observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. [FLE3] [MA2013] AL1 (912) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [SID6] [MA2013] ALC (912) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] ALC (912) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama) [MA2013] AL2 (912) 12: Interpret expressions that represent a quantity in terms of its context.* [ASSE1] [MA2013] AL2 (912) 29: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* [FIF5] [MA2013] AL2 (912) 30: Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7] [MA2013] AL2 (912) 34: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
[FBF3] [MA2013] PRE (912) 16: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. (Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Determine odd, even, neither.)* [FIF4] (Alabama) [MA2013] ALT (912) 30: Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7] [MA2013] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Exact Ratio
Description: This reproducible activity sheet, from an Illuminations lesson, features a series of questions pertaining to exact ratios and geometric sequences. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Stacking Squares
Description:
This Illuminations lesson prompts students to explore ways of arranging squares to represent equivalences involving square and cuberoots. Students explanations and representations (with their various ways of finding these roots) form the basis for further work with radicals.
Standard(s): [MA2013] AL1 (912) 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [NRN1] [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2]
Subject: Mathematics Title: Stacking Squares
Description: This Illuminations lesson prompts students to explore ways of arranging squares to represent equivalences involving square and cuberoots. Students explanations and representations (with their various ways of finding these roots) form the basis for further work with radicals. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Assessments
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Title: Introduction to Algebra Quiz
Description:
This is a quiz on evaluating algebraic expressions, learning how to use exponential notation, using properties of numbers in algebra, and learning how to write expressions and evaluate formulas.
Standard(s): [MA2013] AL1 (912) 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [NRN1] [MA2013] AL1 (912) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [NRN2]
Introduction to Algebra Quiz
http://www.phschool....
This is a quiz on evaluating algebraic expressions, learning how to use exponential notation, using properties of numbers in algebra, and learning how to write expressions and evaluate formulas.

