ALEX Lesson Plans
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Title: The World of Integers
Description:
The objective of this lesson is for students to review the basic operations of rational numbers – Integers. This lesson is design as a technologybased project; webquest, that focus on adding and subtracting integers with the extension of multiplying and dividing integers. This lesson requires students to focus on how integers are used in real world situations.
Standard(s): [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [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]
Subject: Mathematics (6  7)
Title: The World of Integers
Description: The objective of this lesson is for students to review the basic operations of rational numbers – Integers. This lesson is design as a technologybased project; webquest, that focus on adding and subtracting integers with the extension of multiplying and dividing integers. This lesson requires students to focus on how integers are used in real world situations.
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Title: What's the Difference? Subtracting Integers
Description:
In Cooperative/Collaborative groups, this lesson will actively engage students to subtract positive and negative integers. An "Essential Question" will be used to activate background knowledge and set the purpose for understanding integers. Students will play board games, use the Internet to play interactive games, and watch videos about subtracting integers.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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]
Subject: Mathematics (7)
Title: What's the Difference? Subtracting Integers
Description: In Cooperative/Collaborative groups, this lesson will actively engage students to subtract positive and negative integers. An "Essential Question" will be used to activate background knowledge and set the purpose for understanding integers. Students will play board games, use the Internet to play interactive games, and watch videos about subtracting integers.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Are You INTERESTed?
Description:
In this lesson, students will explore simple interest through the use of studying loans and savings accounts. The students will generate the formula I=P x r x t to calculate simple interest on loans. Students will become familiar with "positive" and "negative" effects interest has on reallife applications.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [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]
Subject: Mathematics (7)
Title: Are You INTERESTed?
Description: In this lesson, students will explore simple interest through the use of studying loans and savings accounts. The students will generate the formula I=P x r x t to calculate simple interest on loans. Students will become familiar with "positive" and "negative" effects interest has on reallife applications.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: My Peanut Butter is Better Than Yours!
Description:
The students will engage in the process of statistical data comparing data using tables and scatterplots. The students will compare data using measures of center (mean and median) and measures of spread (range). This lesson can be done with the worksheet or adapted to let the students use a graphing calculator to create their own scatter plot from the data table. This lesson is modified and adapted from Samples and Populations, Connected Math, Prentice Hall Publisher.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) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [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) 8: Understand that rewriting an expression in different forms in a problem context can shed light on the problem, and how the quantities in it are related. [7EE2] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4] [MA2013] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8SP1] [MA2013] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7] [MA2013] PRE (912) 42: Compute (using technology) and interpret the correlation coefficient of a linear fit. [SID8]
Subject: Mathematics (6  12)
Title: My Peanut Butter is Better Than Yours!
Description: The students will engage in the process of statistical data comparing data using tables and scatterplots. The students will compare data using measures of center (mean and median) and measures of spread (range). This lesson can be done with the worksheet or adapted to let the students use a graphing calculator to create their own scatter plot from the data table. This lesson is modified and adapted from Samples and Populations, Connected Math, Prentice Hall Publisher.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: 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.
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: Battle to the Death: Adding Integers
Description:
The goal of this lesson is for students to use manipulatives to add integers, creating concepts rather than memorizing rules. This lesson will be related to the 300 Spartans who battled the invading Persians at the Battle of Thermopylae, inspiring the hit movie "300" and Stephen Pressfield’s historical fiction, The Gates of Fire. Interdisciplinary connections will be made to literature, theater, and history, discussing why Pressfield called this the most important battle in establishing and securing democracy in western civilization. This lesson is a base for many subsequent lessons including subtracting integers, combining like terms when simplifying algebraic expressions, and solving algebraic 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): [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]
Subject: Mathematics (7)
Title: Battle to the Death: Adding Integers
Description: The goal of this lesson is for students to use manipulatives to add integers, creating concepts rather than memorizing rules. This lesson will be related to the 300 Spartans who battled the invading Persians at the Battle of Thermopylae, inspiring the hit movie "300" and Stephen Pressfield’s historical fiction, The Gates of Fire. Interdisciplinary connections will be made to literature, theater, and history, discussing why Pressfield called this the most important battle in establishing and securing democracy in western civilization. This lesson is a base for many subsequent lessons including subtracting integers, combining like terms when simplifying algebraic expressions, and solving algebraic 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: 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.
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: Integers Are Rising and Falling Everywhere! Adding and Subtracting Integers
Description:
Students will expand from the idea of not only identifying signed numbers but to use them for numerical operations.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) 8: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in realworld contexts explaining the meaning of 0 in each situation. [6NS5] [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) 18: Convert among differentsized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multistep, realworld problems. [5MD1]
Subject: Mathematics (5  7)
Title: Integers Are Rising and Falling Everywhere! Adding and Subtracting Integers
Description: Students will expand from the idea of not only identifying signed numbers but to use them for numerical operations.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: New York with $1200
Description:
CONGRATULATIONS!!! You are Demopolis Middle School’s first –place winner of the annual MATHATHON!!!!!!!!!! You and three of your classmates have been awarded an exciting trip to NEW YORK CITY! You will each be given $1200 to cover all your expenses during your three day stay. You must use only your $1200 prize to cover all expenses (transportation costs, hotel accommodations, food, gratuities (tips), souvenirs, and entertainment). Please budget your money carefully – decide which purchases are most important and budget these first. Don’t forget to have fun!!
Standard(s): [TC2] (68) 2: Publish digital products that communicate curriculum concepts. [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [TC2] (68) 8: Identify safe uses of social networking and electronic communication. [TC2] (68) 9: Practice responsible and legal use of technology systems and digital content. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [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) 8: Understand that rewriting an expression in different forms in a problem context can shed light on the problem, and how the quantities in it are related. [7EE2] [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) 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) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8] [SS2010] CIV (7) 9: Apply principles of money management to the preparation of a personal budget that addresses housing, transportation, food, clothing, medical expenses, insurance, checking and savings accounts, loans, investments, credit, and comparison shopping.
Subject: Mathematics (7), or Social Studies (7), or Technology Education (6  8)
Title: New York with $1200
Description: CONGRATULATIONS!!! You are Demopolis Middle School’s first –place winner of the annual MATHATHON!!!!!!!!!! You and three of your classmates have been awarded an exciting trip to NEW YORK CITY! You will each be given $1200 to cover all your expenses during your three day stay. You must use only your $1200 prize to cover all expenses (transportation costs, hotel accommodations, food, gratuities (tips), souvenirs, and entertainment). Please budget your money carefully – decide which purchases are most important and budget these first. Don’t forget to have fun!!
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Title: Modeling and Adding Integers Using Numbers Lines and Counters
Description:
The purpose of this lesson is to enable students to add integers and apply this lesson to real life situations. In this lesson students will model and add integers using number lines and counters through the use of technologybased resources. Handson activities and class discussions will enhance and reinforce the objectives.
Standard(s): [TC2] (68) 9: Practice responsible and legal use of technology systems and digital content. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [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]
Subject: Mathematics (7), or Technology Education (6  8)
Title: Modeling and Adding Integers Using Numbers Lines and Counters
Description: The purpose of this lesson is to enable students to add integers and apply this lesson to real life situations. In this lesson students will model and add integers using number lines and counters through the use of technologybased resources. Handson activities and class discussions will enhance and reinforce the objectives.
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Title: How Much Money Can I Make?
Description:
This lesson is a technologybased activity in which students will research two careers they are possibly interested in pursuing. They will convert the average yearly salary of each career into an hourly wage and record their findings in a spreadsheet. They will calculate their weekly gross and net pay for each career choice.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [TC2] (68) 7: Demonstrate correct keyboarding techniques. [TC2] (68) 9: Practice responsible and legal use of technology systems and digital content. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [TC2] (68) 13: Use digital tools to formulate solutions to authentic problems. [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] (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) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [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) 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 (6  7), or Technology Education (6  8)
Title: How Much Money Can I Make?
Description: This lesson is a technologybased activity in which students will research two careers they are possibly interested in pursuing. They will convert the average yearly salary of each career into an hourly wage and record their findings in a spreadsheet. They will calculate their weekly gross and net pay for each career choice.
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Title: Investigating Integers
Description:
Students will create a multimedia presentation to demonstrate their understanding of integers. Within this presentation they will include information on how to compare and order integers and how to add and subtract integers by writing about situations where they may encounter integers. Additionally, they will create a word problem with a solution that reflects their understanding of adding or subtracting negative and positive integers.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [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]
Subject: Mathematics (7), or Technology Education (6  8)
Title: Investigating Integers
Description: Students will create a multimedia presentation to demonstrate their understanding of integers. Within this presentation they will include information on how to compare and order integers and how to add and subtract integers by writing about situations where they may encounter integers. Additionally, they will create a word problem with a solution that reflects their understanding of adding or subtracting negative and positive integers.
Thinkfinity Lesson Plans
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Title: Too Big or Too Small?
Description:
In this lesson, from Illuminations, students explore the following concepts: the magnitude of a million, fractions between 0 and 1, and the effect of decimal operations. The activities in this lesson help them develop number sense.
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) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [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]
Subject: Mathematics Title: Too Big or Too Small?
Description: In this lesson, from Illuminations, students explore the following concepts: the magnitude of a million, fractions between 0 and 1, and the effect of decimal operations. The activities in this lesson help them develop number sense. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Power Up
Description:
In this Illuminations lesson, students get a real feel of the meaning of negative and positive numbers using old batteries and a voltage sensor. Students explore addition of signed numbers by placing batteries end to end and calculate the sum of the batteries voltages. There are links to an online interactive and activity sheet.
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]
Subject: Mathematics Title: Power Up
Description: In this Illuminations lesson, students get a real feel of the meaning of negative and positive numbers using old batteries and a voltage sensor. Students explore addition of signed numbers by placing batteries end to end and calculate the sum of the batteries voltages. There are links to an online interactive and activity sheet. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Magic Squares
Description:
This lesson, from Illuminations, explores magic squares from both a historical and mathematical perspective. Students explore symbolic algebraic representation of patterns, complete a magic squares activity sheet, use operations and integers to solve problems, and analyze and represent patterns with symbolic rules. Several pieces of literature appropriate for use with this lesson are suggested.
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]
Subject: Mathematics Title: Magic Squares
Description: This lesson, from Illuminations, explores magic squares from both a historical and mathematical perspective. Students explore symbolic algebraic representation of patterns, complete a magic squares activity sheet, use operations and integers to solve problems, and analyze and represent patterns with symbolic rules. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Interactive Integers
Digital Tool:
Interactive Integers  Addition and Subtraction Web Address URL:
https://itunes.apple.com/us/app/interactiveintegers.../id461996605?mt=8 Standard(s):
[MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [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] Digital Tool Description: This iPad app helps students visually understand integer addition and subtraction by manipulating an interactive number line and color tile model. This is a paid app.
Title: Interactive Integers Digital Tool: Interactive Integers  Addition and Subtraction Digital Tool Description: This iPad app helps students visually understand integer addition and subtraction by manipulating an interactive number line and color tile model. This is a paid app.
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Title: Ten Marks Personalized Math
Digital Tool:
Ten Marks Web Address URL:
http://www.tenmarks.com/ Standard(s):
[MA2013] (3) 1: Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. [3OA1] [MA2013] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5] [MA2013] (4) 19: Know relative sizes of measurement units within one system of units, including km, m, cm; kg, g; lb, oz; l, ml; and hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a twocolumn table. [4MD1] [MA2013] (4) 21: Apply the area and perimeter formulas for rectangles in realworld and mathematical problems. [4MD3] [MA2013] (5) 13: Interpret a fraction as division of the numerator by the denominator (^{a}/_{b} = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF3] [MA2013] (5) 16: Solve realworld problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF6] [MA2013] (5) 21: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. [5MD4] [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) 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] Digital Tool Description: Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.
Title: Ten Marks Personalized Math Digital Tool: Ten Marks Digital Tool Description: Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.
ALEX Podcasts
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Title: Order of Operations Song
Overview:
This podcast is a song that helps middle school students to review the review of operations. Each sentence within the song is a stepbystep process in how to solve a specific order of operations problem. Standard(s):
[MA2013] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [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) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7EE1]
Order of Operations Song Overview: This podcast is a song that helps middle school students to review the review of operations. Each sentence within the song is a stepbystep process in how to solve a specific order of operations problem.
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Title: Percents 4: Percent Word Problems
Overview:
This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of solving word problems using percent. The lesson uses the bar method of solving (Singapore Math). 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] (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]
Percents 4: Percent Word Problems Overview: This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of solving word problems using percent. The lesson uses the bar method of solving (Singapore Math). 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.
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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.
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Title: Percents 5: Percents & Money
Overview:
This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of solving word problems including money and percents. The lesson uses the bar method to solve the problems. 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] (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) 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] (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) 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]
Percents 5: Percents & Money Overview: This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of solving word problems including money and percents. The lesson uses the bar method to solve the problems. 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.
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Title: Friendly Fractions part 3
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 also covers adding and subtracting unlike fractions (unlike denominators). 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] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1] [MA2013] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2] [MA2013] (5) 13: Interpret a fraction as division of the numerator by the denominator (^{a}/_{b} = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF3] [MA2013] (5) 14: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. [5NF4] [MA2013] (5) 16: Solve realworld problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF6] [MA2013] (5) 17: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general by reasoning about the relationship between multiplication and division. However, division of a fraction by a fraction is not a requirement at this grade.)
[5NF7] [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) 22: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving realworld and mathematical problems. [6G2] [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) 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 3 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 also covers adding and subtracting unlike fractions (unlike denominators). 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.
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Title: Friendly Fractions part 4
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 covers multiplying fractions including mixed numbers. 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] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1] [MA2013] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2] [MA2013] (5) 13: Interpret a fraction as division of the numerator by the denominator (^{a}/_{b} = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF3] [MA2013] (5) 14: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. [5NF4] [MA2013] (5) 16: Solve realworld problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF6] [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] (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) 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) 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 4 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 covers multiplying fractions including mixed numbers. 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.
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Title: Friendly Fractions part 5
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 covers dividing fractions and mixed numbers using "keepchangeflip". 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] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1] [MA2013] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2] [MA2013] (5) 13: Interpret a fraction as division of the numerator by the denominator (^{a}/_{b} = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF3] [MA2013] (5) 14: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. [5NF4] [MA2013] (5) 16: Solve realworld problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF6] [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] (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) 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) 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 5 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 covers dividing fractions and mixed numbers using "keepchangeflip". 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.
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Title: Percents 2: Percents and Decimals
Overview:
This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of changing a percent to a decimal and vice versa. The lesson also covers percents from large whole numbers to decimal percents. 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] (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]
Percents 2: Percents and Decimals Overview: This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of changing a percent to a decimal and vice versa. The lesson also covers percents from large whole numbers to decimal percents. 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.
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Title: Percents 3: Percent Equations
Overview:
This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of solving percent equations. The lesson also covers amount, base, and percent using the translation method. 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) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [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) 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]
Percents 3: Percent Equations Overview: This podcast is part of a series on operations with percents. Designed with the middle school student in mind, it is a refresher on the basics of solving percent equations. The lesson also covers amount, base, and percent using the translation method. 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.
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Title: Friendly Fractions part 2
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 also covers adding and subtracting like fractions (same denominator). 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] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1] [MA2013] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2] [MA2013] (5) 13: Interpret a fraction as division of the numerator by the denominator (^{a}/_{b} = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF3] [MA2013] (5) 14: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. [5NF4] [MA2013] (5) 16: Solve realworld problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF6] [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) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [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) 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 2 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 also covers adding and subtracting like fractions (same denominator). 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.
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Title: Friendly Fractions part 1
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 also covers different types of fractions, how they are made, and how they are used. 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] (5) 13: Interpret a fraction as division of the numerator by the denominator (^{a}/_{b} = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF3] [MA2013] (5) 14: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. [5NF4] [MA2013] (5) 16: Solve realworld problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF6] [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) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [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) 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) 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 1 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 also covers different types of fractions, how they are made, and how they are used. 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.
Web Resources
Podcasts
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Title: Adding Integers: Positively Fun Tutorial Video
Description:
Adding Integers is presented as a webisode(video) from Teacher Tube in an interactive whiteboard format. Modeling mathematics by using manipulatives and number lines is the presentation method used by this video.
Standard(s): [MA2013] (6) 8: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in realworld contexts explaining the meaning of 0 in each situation. [6NS5] [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [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]
Adding Integers: Positively Fun Tutorial Video
http://www.teachertu...
Adding Integers is presented as a webisode(video) from Teacher Tube in an interactive whiteboard format. Modeling mathematics by using manipulatives and number lines is the presentation method used by this video.
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Title: Math in Special Effects
Description:
Jeremy Chernick from J&M Special Effects discusses how he ended up creating effects as a career, then introduces a challenge about the algebra behind lighting highspeed effects like explosions.
Standard(s): [MA2013] (6) 11: Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6NS8] [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] (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]
Math in Special Effects
http://www.thirteen....
Jeremy Chernick from J&M Special Effects discusses how he ended up creating effects as a career, then introduces a challenge about the algebra behind lighting highspeed effects like explosions.
Interactives/Games
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Title: Absolute Value Millionaire Game
Description:
In this game students will practice solving absolute value equations.
Standard(s): [MA2013] (6) 10: Understand ordering and absolute value of rational numbers. [6NS7] [MA2013] (6) 11: Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6NS8] [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] AL1 (912) 23: Explain why the xcoordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.* [AREI11]
Absolute Value Millionaire Game
http://www.mathplay...
In this game students will practice solving absolute value equations.
Thinkfinity Learning Activities
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Title: Nim Games
Description:
This student interactive, from an Illuminations lesson, allows players to challenge the computer in the games of Static Nim, Identity Nim, and Doubling and Tripling Nim. Nim is any type of '' take away game'' in which players alternately remove counters, and the player who takes the last counter wins. There are infinitely many versions of Nim.
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) 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] DM1 (912) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)
Subject: Mathematics Title: Nim Games
Description: This student interactive, from an Illuminations lesson, allows players to challenge the computer in the games of Static Nim, Identity Nim, and Doubling and Tripling Nim. Nim is any type of '' take away game'' in which players alternately remove counters, and the player who takes the last counter wins. There are infinitely many versions of Nim. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Calculation Nation
Description:
Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.
Standard(s): [MA2013] (3) 1: Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. [3OA1] [MA2013] (3) 2: Interpret wholenumber quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. [3OA2] [MA2013] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction ^{a}/_{b} as the quantity formed by a parts and size ^{1}/_{b}. [3NF1] [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3] [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1] [MA2013] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2] [MA2013] (4) 28: Recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify linesymmetric figures and draw lines of symmetry. [4G3] [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) 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) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1] [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) 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) 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] (8) 17: Understand that a twodimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. [8G2] [MA2013] (8) 18: Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates. [8G3] [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: Calculation Nation
Description: Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9
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Title: Volt Meter
Description:
This student interactive, from an Illuminations lesson, allows students to learn about positive and negative numbers by exploring the voltage of batteries.
Standard(s): [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [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]
Subject: Mathematics,Science Title: Volt Meter
Description: This student interactive, from an Illuminations lesson, allows students to learn about positive and negative numbers by exploring the voltage of batteries. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12

