ALEX Lesson Plans
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Title: The Pattern of Graphing Quadratic Equations
Description:
The students will develop an algebraic expression from geometric representations and ultimately graph quadratic equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations.
Standard(s): [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2]
Subject: Mathematics (6)
Title: The Pattern of Graphing Quadratic Equations
Description: The students will develop an algebraic expression from geometric representations and ultimately graph quadratic equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations.
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Title: Express Yourself with Patterns
Description:
During this lesson, the students will use growing patterns to develop an algebraic expression with understanding. The students will also learn mathematical vocabulary with the use of the newly created expression.
Standard(s): [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (6) 14: Apply the properties of operations to generate equivalent expressions. [6EE3] [MA2013] (6) 15: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). [6EE4]
Subject: Mathematics (6)
Title: Express Yourself with Patterns
Description: During this lesson, the students will use growing patterns to develop an algebraic expression with understanding. The students will also learn mathematical vocabulary with the use of the newly created expression.
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Title: Order Among Chaos
Description:
This lesson is designed to assist students not only in using the order of operations, but also experimenting with how grouping and ordering affects answers. In groups as teams, the students will compete while finding algebraic expressions using only the numbers 1, 2, 3, and 4, as well as all operations including exponents and grouping symbols, to find a desired integer result. To gain points, the value of each formed expression must be from the set of integers 125 or 1100 depending on time constraints. They should attempt to get an expression with each of the listed integers required. Modeled examples are embedded in the directions slide show so the students are instructed in the process of the competition.
Standard(s): [MA2013] (7) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7EE1] [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (6) 14: Apply the properties of operations to generate equivalent expressions. [6EE3]
Subject: Mathematics (6  7)
Title: Order Among Chaos
Description: This lesson is designed to assist students not only in using the order of operations, but also experimenting with how grouping and ordering affects answers. In groups as teams, the students will compete while finding algebraic expressions using only the numbers 1, 2, 3, and 4, as well as all operations including exponents and grouping symbols, to find a desired integer result. To gain points, the value of each formed expression must be from the set of integers 125 or 1100 depending on time constraints. They should attempt to get an expression with each of the listed integers required. Modeled examples are embedded in the directions slide show so the students are instructed in the process of the competition.
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Title: The Laws of Exponents
Description:
During this activity, students will review the laws of exponents. They will demonstrate their knowledge by creating an interactive computer game or a podcast.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [TC2] (68) 2: Publish digital products that communicate curriculum concepts. [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (8) 3: Know and apply the properties of integer exponents to generate equivalent numerical expressions. [8EE1]
Subject: Mathematics (6  8), or Technology Education (6  8)
Title: The Laws of Exponents
Description: During this activity, students will review the laws of exponents. They will demonstrate their knowledge by creating an interactive computer game or a podcast.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Order Of Operations Competition
Description:
This activity will bring a fun and interactive way to get extra practice with the Order of Operations. Students will play a game that allows them to set up problems and calculate answers using the Order of Operations.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (8) 3: Know and apply the properties of integer exponents to generate equivalent numerical expressions. [8EE1]
Subject: Mathematics (6  8)
Title: Order Of Operations Competition
Description: This activity will bring a fun and interactive way to get extra practice with the Order of Operations. Students will play a game that allows them to set up problems and calculate answers using the Order of Operations.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Miss Integer finds her properties in order.
Description:
A lesson on: Order of Operations, Integers, Numerical Sentences, and Absolute Value.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] (5) 1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. [5OA1] [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (4) 10: Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4NBT5]
Subject: Mathematics (4  6)
Title: Miss Integer finds her properties in order.
Description: A lesson on: Order of Operations, Integers, Numerical Sentences, and Absolute Value.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: Finding Prime
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Students will work in groups to discover the meaning of prime. Tiles will be used to build rectangular arrays for a given number. 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] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1]
Subject: Mathematics (6)
Title: Finding Prime
Description: Students will work in groups to discover the meaning of prime. Tiles will be used to build rectangular arrays for a given number. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Thinkfinity Lesson Plans
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Title: Balancing Shapes
Description:
In this lesson, one of a multipart unit from Illuminations, students balance shapes using an interactive pan balance applet to study equality, essential to understanding algebra. Equivalent relationships are recognized when the pans balance, demonstrating the properties of equality.
Standard(s): [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (6) 14: Apply the properties of operations to generate equivalent expressions. [6EE3] [MA2013] (6) 15: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). [6EE4] [MA2013] (6) 16: Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. [6EE5] [MA2013] (7) 10: Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. [7EE4]
Subject: Mathematics Title: Balancing Shapes
Description: In this lesson, one of a multipart unit from Illuminations, students balance shapes using an interactive pan balance applet to study equality, essential to understanding algebra. Equivalent relationships are recognized when the pans balance, demonstrating the properties of equality. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Web Resources
Interactives/Games
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Title: Karl's Online Calculator
Description:
Karl's Online Calculator is a basic scientific calculator. It features algebraic entry and the order of operations.
Standard(s): [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) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2] [MA2013] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1]
Karl's Online Calculator
http://www.karlscalc...
Karl's Online Calculator is a basic scientific calculator. It features algebraic entry and the order of operations.
Thinkfinity Learning Activities
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Title: Primary Krypto
Description:
This student interactive, from Illuminations, allows students to practice addition, subtraction, multiplication and addition in a fun environment. In the game of Krypto, students combine numbers with mathematical operations to obtain a target number.
Standard(s): [MA2013] (3) 7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. [3OA7] [MA2013] (3) 11: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. [3NBT2] [MA2013] (4) 9: Fluently add and subtract multidigit whole numbers using the standard algorithm. [4NBT4] [MA2013] (5) 8: Fluently multiply multidigit whole numbers using the standard algorithm. [5NBT5] [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [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]
Subject: Mathematics Title: Primary Krypto
Description: This student interactive, from Illuminations, allows students to practice addition, subtraction, multiplication and addition in a fun environment. In the game of Krypto, students combine numbers with mathematical operations to obtain a target number. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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Title: Pan Balance  Expressions
Description:
This interactive pan balance, from Illuminations, allows students to enter and compare numeric or algebraic expressions. They can '' weigh'' the expressions they want to compare by entering them on either side of the balance, allowing them to practice arithmetic and algebraic skills, as well as to investigate the concept of equivalence.
Standard(s): [MA2013] (6) 12: Write and evaluate numerical expressions involving wholenumber exponents. [6EE1] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (6) 14: Apply the properties of operations to generate equivalent expressions. [6EE3] [MA2013] (6) 15: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). [6EE4] [MA2013] (7) 10: Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. [7EE4] [MA2013] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6] [MA2013] (8) 12: Compare properties of two functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [8F2]
Subject: Mathematics Title: Pan Balance  Expressions
Description: This interactive pan balance, from Illuminations, allows students to enter and compare numeric or algebraic expressions. They can '' weigh'' the expressions they want to compare by entering them on either side of the balance, allowing them to practice arithmetic and algebraic skills, as well as to investigate the concept of equivalence. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12

