ALEX Lesson Plans
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Title: Equations Gone Crazy
Description:
In this lesson, students will work with onestep and twostep equations. They will create and solve both types of equations. Students will also research ancient number systems and write, solve and check their equations using the ancient number system of their choice.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [T1] WH3 (8) 2: Analyze characteristics of early civilizations in respect to technology, division of labor, government, calendar, and writings. [MA2013] (6) 18: Solve realworld and mathematical problems by writing and solving equations of the form
x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. [6EE7]
Subject: Mathematics (6), or Social Studies (8)
Title: Equations Gone Crazy
Description: In this lesson, students will work with onestep and twostep equations. They will create and solve both types of equations. Students will also research ancient number systems and write, solve and check their equations using the ancient number system of their choice.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
ALEX Podcasts
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Title: Friendly Fractions Part 6
Overview:
This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson proportions, equivalent proportions, and solving proportions. The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves. 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) 18: Solve realworld and mathematical problems by writing and solving equations of the form
x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. [6EE7] [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] (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]
Friendly Fractions Part 6 Overview: This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson proportions, equivalent proportions, and solving proportions. The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves.
Thinkfinity Learning Activities
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Title: Pan Balance  Numbers
Description:
This student interactive, from Illuminations, can be used to find numerical expressions that are equivalent to one another. If equivalent expressions are placed in the blue and red pans on the virtual scale, it will balance.
Standard(s): [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] (6) 18: Solve realworld and mathematical problems by writing and solving equations of the form
x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. [6EE7] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [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) 15: Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure. [7G5] [MA2013] (8) 9: Solve linear equations in one variable. [8EE7]
Subject: Mathematics Title: Pan Balance  Numbers
Description: This student interactive, from Illuminations, can be used to find numerical expressions that are equivalent to one another. If equivalent expressions are placed in the blue and red pans on the virtual scale, it will balance. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8

