ALEX Lesson Plans
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Title: What's the Question Again?
Description:
This lesson focuses on problem solving strategies with word problems that are 2 or more steps. Students are forced through the strategies to focus on the content of a problem before attempting to answer the "question" which tells what they are to solve. Visualization and communication are reinforced throughout the lesson. The strategies are generic. Included are problems for 3rd, 4th, and 5th grade computation. However, these same strategies can be used for all grade levels.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [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]
Subject: Mathematics (3  5)
Title: What's the Question Again?
Description: This lesson focuses on problem solving strategies with word problems that are 2 or more steps. Students are forced through the strategies to focus on the content of a problem before attempting to answer the "question" which tells what they are to solve. Visualization and communication are reinforced throughout the lesson. The strategies are generic. Included are problems for 3rd, 4th, and 5th grade computation. However, these same strategies can be used for all grade levels.
This is a College and CareerReady Standards showcase lesson plan.
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Title: What's Your Question? Multiplication Word Problems
Description:
Students will explore multiplication and word problems. They will work cooperatively to examine a story scenarioand list possible questions to develop a completed word problem and solve it using a variety of strategies. The students will also create a word problem using an online story creator.
Standard(s): [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)
Title: What's Your Question? Multiplication Word Problems
Description: Students will explore multiplication and word problems. They will work cooperatively to examine a story scenarioand list possible questions to develop a completed word problem and solve it using a variety of strategies. The students will also create a word problem using an online story creator.
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Title: Multiplication My Way
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In this lesson, students will explore the US Algorithm Method of multiplication using a unique way of describing it known as the Turtlehead Method. Students will collaboratively work together to complete story problems using the US Algorithm Method of multiplication to solve twodigit by twodigit multiplication problems.
Standard(s): [TC2] (35) 2: Use various technology applications, including word processing and multimedia software.
Subject: Mathematics (4  5), or Technology Education (3  5)
Title: Multiplication My Way
Description: In this lesson, students will explore the US Algorithm Method of multiplication using a unique way of describing it known as the Turtlehead Method. Students will collaboratively work together to complete story problems using the US Algorithm Method of multiplication to solve twodigit by twodigit multiplication problems.
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Title: Nursery Rhyme Word Problems
Description:
In this lesson students will create basic addition, subtraction, multiplication, and division word problems using common nursery rhymes. Students will distinguish the key elements of word problems and incorporate those elements into a nursery rhyme.
Standard(s): [TC2] (35) 12: Create a product using digital tools.
Subject: Mathematics (4), or Technology Education (3  5)
Title: Nursery Rhyme Word Problems
Description: In this lesson students will create basic addition, subtraction, multiplication, and division word problems using common nursery rhymes. Students will distinguish the key elements of word problems and incorporate those elements into a nursery rhyme.
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Title: Fun with Problem Solving
Description:
The object of this lesson is to teach students that problem solving can be interesting and fun. It is important to pay attention to what is asked and information that is in the problem.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) 8: Fluently multiply multidigit whole numbers using the standard algorithm. [5NBT5]
Subject: English Language Arts (5), or Mathematics (3  5), or Technology Education (3  5)
Title: Fun with Problem Solving
Description: The object of this lesson is to teach students that problem solving can be interesting and fun. It is important to pay attention to what is asked and information that is in the problem.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: Too Much Paper; Too Few Trees?
Description:
A common phrase that both teachers and students often hear when using paper is "there goes another tree." In this lesson, students will use various math skills to determine the number of trees we actually use as paper in a school year. Students will also create a clinometer to measure trees, use the Internet to research the papermaking process, and make paper.
Standard(s): [MA2013] (5) 2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. [5OA2]
Subject: Mathematics (3  5), or Technology Education (3  5)
Title: Too Much Paper; Too Few Trees?
Description: A common phrase that both teachers and students often hear when using paper is "there goes another tree." In this lesson, students will use various math skills to determine the number of trees we actually use as paper in a school year. Students will also create a clinometer to measure trees, use the Internet to research the papermaking process, and make paper.
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Title: Budgeting for the Oregon Trail
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As a part of the online collaborative unit, Westward Ho!, students will work in cooperative groups of 45 students to decide what items they need to take on the Oregon Trail, determine the cost of the items, and complete a ledger to inventory (keep up with) items used on the trail. Information will then be used as part of a multimedia slideshow journal describing the journey.
Standard(s): [MA2013] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2]
Subject: Mathematics (3  4)
Title: Budgeting for the Oregon Trail
Description: As a part of the online collaborative unit, Westward Ho!, students will work in cooperative groups of 45 students to decide what items they need to take on the Oregon Trail, determine the cost of the items, and complete a ledger to inventory (keep up with) items used on the trail. Information will then be used as part of a multimedia slideshow journal describing the journey.
Thinkfinity Lesson Plans
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Title: Picture This
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In this lesson, from Illuminations, students compose number sentences based on mathematics stories and then conduct a survey to determine how various people interpret pictures mathematically. They analyze and summarize the data they collect, and draw conclusions from their findings.
Standard(s): [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2]
Subject: Mathematics Title: Picture This
Description: In this lesson, from Illuminations, students compose number sentences based on mathematics stories and then conduct a survey to determine how various people interpret pictures mathematically. They analyze and summarize the data they collect, and draw conclusions from their findings. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Times Six, Times Seven
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In this sixlesson unit, from Illuminations, students who have previously studied the meanings of multiplication use its properties to help them memorize the products to 70, where 6 or 7 is a factor. Retention is fostered through class discussions, preparation of a personal multiplication chart, and game playing. The unit is most appropriate for students who understand the process of multiplication and have mastered the multiplication facts through the 5 table.
Standard(s): [MA2013] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2]
Subject: Mathematics Title: Times Six, Times Seven
Description: In this sixlesson unit, from Illuminations, students who have previously studied the meanings of multiplication use its properties to help them memorize the products to 70, where 6 or 7 is a factor. Retention is fostered through class discussions, preparation of a personal multiplication chart, and game playing. The unit is most appropriate for students who understand the process of multiplication and have mastered the multiplication facts through the 5 table. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: The Variable Machine
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This Illuminations lesson provides an introduction to the use of variables. Students explore the idea of variable as a symbol that can stand for any member of a set of numbers, and they substitute numbers for variables (letters) to discover unknown values.
Standard(s): [MA2013] (5) 6: Read, write, and compare decimals to thousandths. [5NBT3]
Subject: Mathematics Title: The Variable Machine
Description: This Illuminations lesson provides an introduction to the use of variables. Students explore the idea of variable as a symbol that can stand for any member of a set of numbers, and they substitute numbers for variables (letters) to discover unknown values. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Understanding Distance, Speed, and Time Relationships
Description:
In this twolesson unit, from Illuminations, students use a software simulation of two runners along a track. Students can control the speeds and starting points of the runners, watch the race and examine a graph of the timeversusdistance relationship. They examine graphs of related data and investigate scenarios involving constant rates of change.
Standard(s): [MA2013] (5) 23: Use a pair of perpendicular number lines, called axes, to define a coordinate system with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., xaxis and xcoordinate, yaxis and ycoordinate). [5G1]
Subject: Mathematics Title: Understanding Distance, Speed, and Time Relationships
Description: In this twolesson unit, from Illuminations, students use a software simulation of two runners along a track. Students can control the speeds and starting points of the runners, watch the race and examine a graph of the timeversusdistance relationship. They examine graphs of related data and investigate scenarios involving constant rates of change. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Finding Products
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In this lesson, one of a multipart unit from Illuminations, students examine the role of commutativity and the multiplicative identity, play a multiplication game, and explore products where one of the factors is 6. They also create a personal multiplication chart.
Standard(s): [MA2013] (5) 22: Relate volume to the operations of multiplication and addition, and solve realworld and mathematical problems involving volume. [5MD5]
Subject: Mathematics Title: Finding Products
Description: In this lesson, one of a multipart unit from Illuminations, students examine the role of commutativity and the multiplicative identity, play a multiplication game, and explore products where one of the factors is 6. They also create a personal multiplication chart. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Making Your First Million
Description:
In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers.
Standard(s): [MA2013] (8) 6: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. [8EE4]
Subject: Mathematics Title: Making Your First Million
Description: In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Technology in Math (Small Group/Centers)
Digital Tool:
Tenmarks Web Address URL:
http://www.tenmarks.com Standard(s):
[MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] Digital Tool Description: Tenmarks is a free web resource for math. In addition, educators can create accounts for students in which students can access the site 24/7. Tenmarks is design for students in grades second though tenth grades. Tenmarks provides a multiple choice styles of questions for students. Tenmarks allows teachers to personlize instruction for students whether they are below, on, or above grade level in math. In addition, tenmarks is great for small group instruction, centers, and intervention. It provides indivdualize data for students and is a good tool to measure mastery of standards for testing and content knowledge.
Title: Technology in Math (Small Group/Centers) Digital Tool: Tenmarks Digital Tool Description: Tenmarks is a free web resource for math. In addition, educators can create accounts for students in which students can access the site 24/7. Tenmarks is design for students in grades second though tenth grades. Tenmarks provides a multiple choice styles of questions for students. Tenmarks allows teachers to personlize instruction for students whether they are below, on, or above grade level in math. In addition, tenmarks is great for small group instruction, centers, and intervention. It provides indivdualize data for students and is a good tool to measure mastery of standards for testing and content knowledge.
Web Resources
Learning Activities
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Title: Math Word Problems (Kidzone)
Description:
The word problems on this page are listed by grade and, within each grade, by theme.
Standard(s): [MA2013] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2]
Math Word Problems (Kidzone)
http://www.kidzone.w...
The word problems on this page are listed by grade and, within each grade, by theme.
Thinkfinity Informational Materials
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Title: Number and Operations Web Links
Description:
This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.
Standard(s): [MA2013] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Number and Operations Web Links
Description: This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites. Thinkfinity Partner: Illuminations Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12
Thinkfinity Interactive Games
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Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description:
Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations.
Standard(s): [MA2013] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description: Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations. Thinkfinity Partner: Illuminations Grade Span: 3,4,5

