**Title:** Pacaderms, Pennies, and Pasta

**Description:**
After learning of a historical event in which elephants were used to test out the Brooklyn Bridge, students construct their own bridge using very basic materials. Students weigh different items to determine the weight their bridge can withstand without collapsing.
**Standard(s): **

[MA2015] (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. [5-NBT7]

**Subject:**Mathematics (4 - 5)

**Title:**Pacaderms, Pennies, and Pasta

**Description:**After learning of a historical event in which elephants were used to test out the Brooklyn Bridge, students construct their own bridge using very basic materials. Students weigh different items to determine the weight their bridge can withstand without collapsing.

**Title:** Become a "ruler" of the ruler!

**Description:**
In order to practice basic sewing skills, students must be able to read and use a ruler for a variety of tasks. In this hands-on lesson, students will work collaboratively to demonstrate their mastery of how to read "English" units of measurements (inches). Students will learn how to read both 1/8" and 1/16" measurements through the use of yardsticks, rulers, and flexible measuring tape. This lesson can be used as part of a unit or as a remediation for students who will be using a ruler on assignments and projects.
**Standard(s): **

[MA2015] (4) 14: Understand a fraction ^{a}/_{b} with *a* > 1 as a sum of fractions ^{1}/_{b}. [4-NF3]

**Subject:**Human Services (7), or Mathematics (4)

**Title:**Become a "ruler" of the ruler!

**Description:**In order to practice basic sewing skills, students must be able to read and use a ruler for a variety of tasks. In this hands-on lesson, students will work collaboratively to demonstrate their mastery of how to read "English" units of measurements (inches). Students will learn how to read both 1/8" and 1/16" measurements through the use of yardsticks, rulers, and flexible measuring tape. This lesson can be used as part of a unit or as a remediation for students who will be using a ruler on assignments and projects.

**Title:** Little Red Riding Hood's Journey to Grandma's

**Description:**
The students will listen to the story of Little Red Riding Hood and work subtraction word problems connected to the story. The problems are related to distance traveled. They will work cooperatively with partners and share subtraction strategies with their peers. At the end of the lesson they will work a subtraction story problem and show strategies for solving.
**Standard(s): **

[TC2] (3-5) 12: Create a product using digital tools.

**Subject:**Mathematics (4), or Technology Education (3 - 5)

**Title:**Little Red Riding Hood's Journey to Grandma's

**Description:**The students will listen to the story of Little Red Riding Hood and work subtraction word problems connected to the story. The problems are related to distance traveled. They will work cooperatively with partners and share subtraction strategies with their peers. At the end of the lesson they will work a subtraction story problem and show strategies for solving.

**Title:** The Elves Go On Strike!

**Description:**
Students will use their knowledge of elapsed time to determine if certain elves should receive a bonus. They will work cooperatively with groups to calculate elapsed time and present and justify their findings to their classmates.
**Standard(s): **

[MA2015] (3) 16: Tell and write time to the nearest minute, and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. [3-MD1]

**Subject:**Mathematics (3 - 4)

**Title:**The Elves Go On Strike!

**Description:**Students will use their knowledge of elapsed time to determine if certain elves should receive a bonus. They will work cooperatively with groups to calculate elapsed time and present and justify their findings to their classmates.

**Title:** Cows on the Clock

**Description:**
In this lesson students will calculate elapsed time using the storybook Click, Clack Moo: Cows That Type by Doreen Cronin. Students will identify the time pasted between two given times in a.m. and p.m.
**Standard(s): **

[TC2] (3-5) 12: Create a product using digital tools.

**Subject:**Mathematics (3 - 4), or Technology Education (3 - 5)

**Title:**Cows on the Clock

**Description:**In this lesson students will calculate elapsed time using the storybook Click, Clack Moo: Cows That Type by Doreen Cronin. Students will identify the time pasted between two given times in a.m. and p.m.

**Title:** Calculating Elapsed Time with Time Rulers

**Description:**
Students will explore their prior knowledge of time, discuss fractional parts of an hour, and use a specialized time ruler to calculate elapsed time for real life situations.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics (3 - 4)

**Title:**Calculating Elapsed Time with Time Rulers

**Description:**Students will explore their prior knowledge of time, discuss fractional parts of an hour, and use a specialized time ruler to calculate elapsed time for real life situations. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.

**Title:** Time Flies By!

**Description:**
Students will review time by representing given times on their classroom clock. They will then work individually or with a partner to explore elapsed time problems using a clock and interactive software.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics (3 - 4), or Technology Education (3 - 5)

**Title:**Time Flies By!

**Description:**Students will review time by representing given times on their classroom clock. They will then work individually or with a partner to explore elapsed time problems using a clock and interactive software. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.

**Title:** Math at Dinner!

**Description:**
Each group of students will use word processing software to create a restaurant menu complete with food titles and prices. Groups will then exchange menus and use the menus to order a meal. Each student will total their meal, add 10% sales tax, 15% gratuity and figure their change from $20.00.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics (4), or Technology Education (3 - 5)

**Title:**Math at Dinner!

**Description:**Each group of students will use word processing software to create a restaurant menu complete with food titles and prices. Groups will then exchange menus and use the menus to order a meal. Each student will total their meal, add 10% sales tax, 15% gratuity and figure their change from $20.00. This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** I'm Into Money!!!

**Description:**
Many students come to third grade needing to review and/or be retaught counting money and making change. This lesson will begin with a review of counting money. It will then introduce making change.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

**Subject:**English Language Arts (3), or Mathematics (4), or Technology Education (3 - 5)

**Title:**I'm Into Money!!!

**Description:**Many students come to third grade needing to review and/or be retaught counting money and making change. This lesson will begin with a review of counting money. It will then introduce making change.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Pigs and Money

**Description:**
After reading the book "Pigs Will Be Pigs" by Amy Axelrod, students will practice how to add money. They will practice how to spend money without spending more than they have in their budget.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics (4)

**Title:**Pigs and Money

**Description:**After reading the book "Pigs Will Be Pigs" by Amy Axelrod, students will practice how to add money. They will practice how to spend money without spending more than they have in their budget.

**Title:** Room Budget

**Description:**
During this technology-based lesson, students learn the importance of planning a project while focusing on a budget. They focus on money and calculation skills to help them stay within the budget. Students use Internet sites to locate the information they need to design a new room.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics (4), or Technology Education (3 - 5)

**Title:**Room Budget

**Description:**During this technology-based lesson, students learn the importance of planning a project while focusing on a budget. They focus on money and calculation skills to help them stay within the budget. Students use Internet sites to locate the information they need to design a new room.

**Title:** It's About Time

**Description:**
During this lesson students gain an understanding of an analog clock and a digital clock. Students watch a movie that explains the importance of time. Students make a clock, see how it works, and complete activities that demonstrate understanding of the concepts covered.
**Standard(s): **

[MA2015] (3) 16: Tell and write time to the nearest minute, and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. [3-MD1]

**Subject:**Mathematics (1 - 4), or Technology Education (K - 2)

**Title:**It's About Time

**Description:**During this lesson students gain an understanding of an analog clock and a digital clock. Students watch a movie that explains the importance of time. Students make a clock, see how it works, and complete activities that demonstrate understanding of the concepts covered.

**Title:** Writing Decimals

**Description:**
This lesson gets students involved through the use of the calculator and computers. Students will have the opportunity to use calculators and computers to demonstrate knowledge of decimal place value and how to write decimal numbers to the tenth and hundredths place.
**Standard(s): **

[MA2015] (5) 7: Use place value understanding to round decimals to any place. [5-NBT4]

**Subject:**Mathematics (4 - 5), or Technology Education (3 - 5)

**Title:**Writing Decimals

**Description:**This lesson gets students involved through the use of the calculator and computers. Students will have the opportunity to use calculators and computers to demonstrate knowledge of decimal place value and how to write decimal numbers to the tenth and hundredths place.

**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 paper-making process, and make paper.
**Standard(s): **

[MA2015] (5) 2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. [5-OA2]

**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 paper-making process, and make paper.

**Title:** HeartLine Express

**Description:**
During this lesson, students will plan and execute a week-long school-wide valentine sales business. From the Grand Plan to job applications, interviews, valentine production, advertising, sales and profits students are immersed in the job experience and using a variety of math skills.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**English Language Arts (4), or Mathematics (3 - 4), or Technology Education (3 - 5)

**Title:**HeartLine Express

**Description:**During this lesson, students will plan and execute a week-long school-wide valentine sales business. From the Grand Plan to job applications, interviews, valentine production, advertising, sales and profits students are immersed in the job experience and using a variety of math skills.

**Title:** Elapsed Time: Planning a Field Trip

**Description:**
The focus of this mathematics unit is on students planning for a trip to Montgomery. Students will have the opportunity to calculate elapsed time as well as the cost of different activities. Students will navigate the Internet to learn more about Montgomery and complete different tasks assigned during the lesson.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics (3 - 4), or Technology Education (3 - 5)

**Title:**Elapsed Time: Planning a Field Trip

**Description:**The focus of this mathematics unit is on students planning for a trip to Montgomery. Students will have the opportunity to calculate elapsed time as well as the cost of different activities. Students will navigate the Internet to learn more about Montgomery and complete different tasks assigned during the lesson.

**Title:** Comparing Modes of Transportation

**Description:**
In this lesson students will visit different websites in order to decide the best mode of transportation from their home town to New York City. Students will graph the results and write a persuasive paper.
**Standard(s): **

[MA2015] (5) 24: Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. [5-G2]

**Subject:**English Language Arts (5), or Mathematics (4 - 5), or Technology Education (3 - 5)

**Title:**Comparing Modes of Transportation

**Description:**In this lesson students will visit different websites in order to decide the best mode of transportation from their home town to New York City. Students will graph the results and write a persuasive paper.

**Title:** Time Flies

**Description:**
This lesson plan is one of the first in a unit on telling time which addresses the following content areas: language arts, math, science, social studies, and technology. Students will read several resource books to gather information. They will then sequence information in a timeline. The final project will be a slideshow presentation.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**English Language Arts (3), or Mathematics (3 - 4), or Technology Education (3 - 5)

**Title:**Time Flies

**Description:**This lesson plan is one of the first in a unit on telling time which addresses the following content areas: language arts, math, science, social studies, and technology. Students will read several resource books to gather information. They will then sequence information in a timeline. The final project will be a slideshow presentation.

**Title:** Kids and Money

**Description:**
This lesson is used to show students how a bank pays interest to people who deposit money into it and charges interest to people who borrow money from it.
**Standard(s): **

[MA2015] (5) 14: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. [5-NF4]

**Subject:**Mathematics (4 - 5), or Technology Education (3 - 5)

**Title:**Kids and Money

**Description:**This lesson is used to show students how a bank pays interest to people who deposit money into it and charges interest to people who borrow money from it.

**Title:** Dream Vacation

**Description:**
This unit teaches students to plan a trip with an itinerary, remain within a budget, and work cooperatively. It is a technology-based project that combines a study of mathematics, economics, geography, and social studies.
**Standard(s): **

[MA2015] (4) 9: Fluently add and subtract multi-digit whole numbers using the standard algorithm. [4-NBT4]

**Subject:**Information Literacy (K - 12), or Mathematics (4 - 5), or Technology Education (3 - 5)

**Title:**Dream Vacation

**Description:**This unit teaches students to plan a trip with an itinerary, remain within a budget, and work cooperatively. It is a technology-based project that combines a study of mathematics, economics, geography, and social studies.

**Title:** Elapsed Time

**Description:**
Students will discover and practice finding elapsed time using student clocks.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics (3 - 4), or Technology Education (3 - 5)

**Title:**Elapsed Time

**Description:**Students will discover and practice finding elapsed time using student clocks.

**Title:** Money Management

**Description:**
This month-long experience educates students in differentiating between needs and wants, how to budget resources, and to gain an understanding of the workings of a capitalist society.
**Standard(s): **

[ELA2015] (2) 36: Demonstrate command of the conventions of Standard English capitalization, punctuation, and spelling when writing. [L.2.2]

**Subject:**English Language Arts (2), or Mathematics (2 - 4)

**Title:**Money Management

**Description:**This month-long experience educates students in differentiating between needs and wants, how to budget resources, and to gain an understanding of the workings of a capitalist society.

**Title:** My Measurements

**Description:**
This reproducible activity sheet, from an Illuminations lesson, leads students through the process of measuring various parts of their bodies.
**Standard(s): **

[MA2015] (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. [5-MD2]

**Subject:**Mathematics

**Title:**My Measurements

**Description:**This reproducible activity sheet, from an Illuminations lesson, leads students through the process of measuring various parts of their bodies.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Planning a Trip to Disneyland or Disney World, Part Two

**Description:**
In this lesson, one of a multi-part unit from Illuminations, student groups use data collected in the previous lesson to plan a trip to Disneyland or Disney World. Students determine not only elapsed time and distance, but extend their problem-solving to figuring meals, lodging, air travel, and incidentals. As they tackle this more complex task. Teachers have opportunity to observe students growing competence with methods and tools for computation, estimation, problem-posing and solving, interpretation of graphical representations, measuring with standard units, and responding to investigations that require the comparison of data sets.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics

**Title:**Planning a Trip to Disneyland or Disney World, Part Two

**Description:**In this lesson, one of a multi-part unit from Illuminations, student groups use data collected in the previous lesson to plan a trip to Disneyland or Disney World. Students determine not only elapsed time and distance, but extend their problem-solving to figuring meals, lodging, air travel, and incidentals. As they tackle this more complex task. Teachers have opportunity to observe students growing competence with methods and tools for computation, estimation, problem-posing and solving, interpretation of graphical representations, measuring with standard units, and responding to investigations that require the comparison of data sets.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Makeshift Measurements: Student Reproducible

**Description:**
This reproducible chart, from an Illuminations lesson, prompts students to measure and record the length and width of several common items that come in standard sizes, such as envelopes, paper, etc.
**Standard(s): **

[MA2015] (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. [5-MD2]

**Subject:**Mathematics

**Title:**Makeshift Measurements: Student Reproducible

**Description:**This reproducible chart, from an Illuminations lesson, prompts students to measure and record the length and width of several common items that come in standard sizes, such as envelopes, paper, etc.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Clothing Sizes

**Description:**
This reproducible worksheet, from an Illuminations lesson, prompts students to analyze measurements of their body, specifically as they relate to clothing sizes.
**Standard(s): **

[MA2015] (5) 20: Recognize volume as an attribute of solid figures, and understand concepts of volume measurement. [5-MD3]

**Subject:**Mathematics

**Title:**Clothing Sizes

**Description:**This reproducible worksheet, from an Illuminations lesson, prompts students to analyze measurements of their body, specifically as they relate to clothing sizes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Inch by Inch

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use an actual ruler to represent various fractions as lengths. This lesson builds on work done in a previous lesson with nonstandard measurement as students use a standard instrument to measure a variety of items. Several pieces of literature appropriate for use with this lesson are suggested.
**Standard(s): **

[MA2015] (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. [5-MD2]

**Subject:**Mathematics

**Title:**Inch by Inch

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use an actual ruler to represent various fractions as lengths. This lesson builds on work done in a previous lesson with nonstandard measurement as students use a standard instrument to measure a variety of items. Several pieces of literature appropriate for use with this lesson are suggested.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Planning a Class Field Trip

**Description:**
This lesson, one of a multi-part unit from Illuminations, focuses students attention on the variables used in planning trips. It captures students interest, provides a review of the primary unit objectives, and assesses students prior knowledge. This experience enables students to consider the variables that must be accounted for in planning a class field trip.
**Standard(s): **

[MA2015] (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. [5-MD2]

**Subject:**Mathematics

**Title:**Planning a Class Field Trip

**Description:**This lesson, one of a multi-part unit from Illuminations, focuses students attention on the variables used in planning trips. It captures students interest, provides a review of the primary unit objectives, and assesses students prior knowledge. This experience enables students to consider the variables that must be accounted for in planning a class field trip.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Mathematics and Football: Unit Overview

**Description:**
In this five-lesson unit, from Illuminations, students participate in activities in which they analyze information represented graphically. Students are asked to discuss, describe, read, and write about the graphs and the information they contain. These activities focus on connections between mathematics and football by using the Super Bowl. Students are asked to look at the Super Bowl not just as the big game but as an opportunity to apply mathematics to some interesting problems. This unit includes an individual activity for four different levels plus one for parents to complete with their child at home.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics

**Title:**Mathematics and Football: Unit Overview

**Description:**In this five-lesson unit, from Illuminations, students participate in activities in which they analyze information represented graphically. Students are asked to discuss, describe, read, and write about the graphs and the information they contain. These activities focus on connections between mathematics and football by using the Super Bowl. Students are asked to look at the Super Bowl not just as the big game but as an opportunity to apply mathematics to some interesting problems. This unit includes an individual activity for four different levels plus one for parents to complete with their child at home.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5,6,7,8

**Title:** Understanding Distance, Speed, and Time Relationships

**Description:**
In this two-lesson 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 time-versus-distance relationship. They examine graphs of related data and investigate scenarios involving constant rates of change.
**Standard(s): **

[MA2015] (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., *x*-axis and *x*-coordinate, *y*-axis and *y*-coordinate). [5-G1]

**Subject:**Mathematics

**Title:**Understanding Distance, Speed, and Time Relationships

**Description:**In this two-lesson 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 time-versus-distance relationship. They examine graphs of related data and investigate scenarios involving constant rates of change.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Planning a Trip to the State Capitol

**Description:**
In this lesson, one of a multi-part unit from Illuminations, student groups plan a trip to the state capitol. Using the skills they developed in the previous lessons, students determine not only elapsed time and distance, but extend their problem-solving to figuring meals and lodging costs. As they tackle this more complex task, teachers have the opportunity to observe students growing competence, including which variables students attend to, if students can find distances from a map, if students can find elapsed time, and if students can use elapsed time to plan a schedule.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics

**Title:**Planning a Trip to the State Capitol

**Description:**In this lesson, one of a multi-part unit from Illuminations, student groups plan a trip to the state capitol. Using the skills they developed in the previous lessons, students determine not only elapsed time and distance, but extend their problem-solving to figuring meals and lodging costs. As they tackle this more complex task, teachers have the opportunity to observe students growing competence, including which variables students attend to, if students can find distances from a map, if students can find elapsed time, and if students can use elapsed time to plan a schedule.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Problem-Solving Tasks

**Description:**
This reproducible activity, from an Illuminations lesson, leads students through a series of exercises and questions pertaining to the construction of an originally-designed clubhouse. They are asked to consider how much paint they will need to cover the walls, what they will need to do to make a mosaic floor pattern, what materials they will need for the roof and more.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics

**Title:**Problem-Solving Tasks

**Description:**This reproducible activity, from an Illuminations lesson, leads students through a series of exercises and questions pertaining to the construction of an originally-designed clubhouse. They are asked to consider how much paint they will need to cover the walls, what they will need to do to make a mosaic floor pattern, what materials they will need for the roof and more.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Planning a Class Trip to a Local Attraction

**Description:**
This lesson, one of a multi-part unit from Illuminations, encourages students to work in groups and apply their knowledge about a trip in a new context. Students plan a trip to a local attraction such as a museum, a site of historical or scientific significance, or a business. They research times the attraction is open and its distance from the school and then prepare a schedule to be displayed as they solve an open-ended problem involving distance and time.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics

**Title:**Planning a Class Trip to a Local Attraction

**Description:**This lesson, one of a multi-part unit from Illuminations, encourages students to work in groups and apply their knowledge about a trip in a new context. Students plan a trip to a local attraction such as a museum, a site of historical or scientific significance, or a business. They research times the attraction is open and its distance from the school and then prepare a schedule to be displayed as they solve an open-ended problem involving distance and time.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Presenting the Plan for a Class Trip

**Description:**
In this lesson, one of a multi-part unit from Illuminations, student groups present the plans they developed in the previous lesson. This provides the teacher an opportunity to review students attainment of the primary unit objectives and to assess students current knowledge and skill level. This experience focuses students attention on the mathematics needed in planning a short trip.
**Standard(s): **

[MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]

**Subject:**Mathematics

**Title:**Presenting the Plan for a Class Trip

**Description:**In this lesson, one of a multi-part unit from Illuminations, student groups present the plans they developed in the previous lesson. This provides the teacher an opportunity to review students attainment of the primary unit objectives and to assess students current knowledge and skill level. This experience focuses students attention on the mathematics needed in planning a short trip.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**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): **

[MA2015] (5) 26: Classify two-dimensional figures in a hierarchy based on properties. [5-G4]

**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

**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 e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
**Standard(s): **

[MA2015] (5) 26: Classify two-dimensional figures in a hierarchy based on properties. [5-G4]

**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 e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Histogram Tool

**Description:**
This student interactive, from Illuminations, allows students to create a customized histogram as well as display pre-set histograms for various data sets. The tool also allows students to see a frequency table, adjust the interval, and view the median and standard deviation of a data set.
**Standard(s): **

[MA2015] AL1 (9-12) 44: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. [S-ID5]

**Subject:**Mathematics

**Title:**Histogram Tool

**Description:**This student interactive, from Illuminations, allows students to create a customized histogram as well as display pre-set histograms for various data sets. The tool also allows students to see a frequency table, adjust the interval, and view the median and standard deviation of a data set.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8,9,10,11,12

**Title:** Concentration

**Description:**
This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.
**Standard(s): **

[MA2015] (4) 23: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. [4-MD5]

**Subject:**Mathematics

**Title:**Concentration

**Description:**This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5

**Title:** Cubes

**Description:**
This student interactive, from Illuminations, helps students explore the volume of a box based on the amount of unit cubes that can fit inside of it. They are prompted to come up with a rule for determining the volume of a box when its width, depth, and height are known.
**Standard(s): **

[MA2015] (5) 22: Relate volume to the operations of multiplication and addition, and solve real-world and mathematical problems involving volume. [5-MD5]

**Subject:**Mathematics

**Title:**Cubes

**Description:**This student interactive, from Illuminations, helps students explore the volume of a box based on the amount of unit cubes that can fit inside of it. They are prompted to come up with a rule for determining the volume of a box when its width, depth, and height are known.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Fraction Models

**Description:**
This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction.
**Standard(s): **

[MA2015] (7) 5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7-NS2]

**Subject:**Mathematics

**Title:**Fraction Models

**Description:**This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8

**Title:** Fraction Game

**Description:**
This student interactive, from Illuminations, simulates a flash card fraction game. Students flip cards one at a time and try to match the values to the given number lines.
**Standard(s): **

[MA2015] (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. [5-MD2]

**Subject:**Mathematics

**Title:**Fraction Game

**Description:**This student interactive, from Illuminations, simulates a flash card fraction game. Students flip cards one at a time and try to match the values to the given number lines.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8