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This version of the course is updated to include additional certification information. No standards, benchmarks or clarifications have been changed.
Course Standards
General Course Information and Notes
Version Description
In Mathematics for College Statistics, instructional time will emphasize four areas: (1) analyzing and applying linear and exponential functions within the context of statistics; (2) extending understanding of probability using data and various representations, including two-way tables and Venn Diagrams; (3) representing and interpreting univariate and bivariate categorical and numerical data and (4) determining the appropriateness of different types of statistical studies.
All clarifications stated, whether general or specific to Mathematics for College Statistics, are expectations for instruction of that benchmark.
Curricular content for all subjects must integrate critical-thinking, problem-solving, and workforce-literacy skills; communication, reading, and writing skills; mathematics skills; collaboration skills; contextual and applied-learning skills; technology-literacy skills; information and media-literacy skills; and civic-engagement skills.
General Notes
Florida’s Benchmarks for Excellent Student Thinking (B.E.S.T.) Standards
This course includes Florida’s B.E.S.T. ELA Expectations (EE) and Mathematical Thinking and Reasoning Standards (MTRs) for students. Florida educators should intentionally embed these standards within the content and their instruction as applicable. For guidance on the implementation of the EEs and MTRs, please visit https://www.cpalms.org/Standards/BEST_Standards.aspx and select the appropriate B.E.S.T. Standards package.
English Language Development ELD Standards Special Notes Section:
Teachers are required to provide listening, speaking, reading and writing instruction that allows English language learners (ELL) to communicate information, ideas and concepts for academic success in the content area of Mathematics. For the given level of English language proficiency and with visual, graphic, or interactive support, students will interact with grade level words, expressions, sentences and discourse to process or produce language necessary for academic success. The ELD standard should specify a relevant content area concept or topic of study chosen by curriculum developers and teachers which maximizes an ELL’s need for communication and social skills. To access an ELL supporting document which delineates performance definitions and descriptors, please click on the following link: https://cpalmsmediaprod.blob.core.windows.net/uploads/docs/standards/eld/ma.pdf
General Information
Educator Certifications
Section 1012.55(5), F.S., authorizes the issuance of a classical education teaching certificate, upon the request of a classical school, to any applicant who fulfills the requirements of s. 1012.56(2)(a)-(f) and (11), F.S., and Rule 6A-4.004, F.A.C. Classical schools must meet the requirements outlined in s. 1012.55(5), F.S., and be listed in the FLDOE Master School ID database, to request a restricted classical education teaching certificate on behalf of an applicant.
Student Resources
Original Student Tutorials
Explore the topic of Electricity including: how it is transformed into other types of energy, how a circuit works, and electrical conductors and insulators with this interactive research page.
Type: Original Student Tutorial
Glimpse into the variety of animal adaptations on Earth and the reasons these adaptations allow different animals to survive in various environments with this interactive research page.
Type: Original Student Tutorial
Learn how plants are adapted to their environment, including their life cycles, responses, physical characteristics, and ability to survive harsh environments with this interactive research page.
Type: Original Student Tutorial
Learn about organs and structures of the human body, including the senses, skin, muscles, and skeleton, with this interactive research page.
This is part 2 in a three-part series.
- Open Human Body: Part 1 (Heart, Lungs, Stomach, Brain, Reproductive)
- Open Human Body: Part 2 (Senses, Skin, Muscles, Skeleton)
- Open Human Body: Part 3 (Liver, Pancreas, Kidneys, Intestines, and Bladder)
Type: Original Student Tutorial
Explore forms of energy, including mechanical, electrical, heat, light, sound, and chemical, discover ways to investigate these forms of energy, and learn about related technology with this interactive tutorial.
Type: Original Student Tutorial
Explore the major climate zones on Earth and learn about the related weather patterns with this interactive research page.
Type: Original Student Tutorial
Learn about the impact of the growth and development of space exploration on the culture and economy of Florida and how the inclusion of private partners helped reach new goals with this interactive tutorial.
This is part 3 in a three-part series. Click below to view the other tutorials in the series.
- Part 1: To the Moon - Space and the Florida Frontier
- Part 2: The Space Shuttle Era - Space and the Florida Frontier
- Part 3: Partners in Exploration - Space and the Florida Frontier
Type: Original Student Tutorial
Learn about organs and structures of the human body, including the Liver, pancreas, kidneys, intestines, and bladder in this interactive research page.
This is part 3 in a three-part series.
- Open Human Body: Part 1 (Heart, Lungs, Stomach, Brain, Reproductive)
- Open Human Body: Part 2 (Senses, Skin, Muscles, Skeleton)
- Open Human Body: Part 3 (Liver, Pancreas, Kidneys, Intestines, and Bladder)
Type: Original Student Tutorial
Learn how the Space Shuttle program revived the area near Cape Canaveral, Florida, and how the possibility of living in space on the Space Station brought new jobs and excitement with this interactive tutorial.
This is part 2 in a three-part series. Click below to view the other tutorials in the series.
- Part 1: To the Moon - Space and the Florida Frontier
- Part 2: The Space Shuttle Era - Space and the Florida Frontier
- Part 3: Partners in Exploration - Space and the Florida Frontier
Type: Original Student Tutorial
Learn about the early days of NASA, the work at Cape Canaveral during the Moon missions, and how this work affected the people and economy of Florida with this interactive tutorial.
This is part 1 in a three-part series. Click below to view the other tutorials in the series.
- Part 1: To the Moon - Space and the Florida Frontier
- Part 2: The Space Shuttle Era - Space and the Florida Frontier
- Part 3: Partners in Exploration - Space and the Florida Frontier
Type: Original Student Tutorial
Learn more about how to empower and enourage others with your leadership skills in this interactive resiliency tutorial.
Type: Original Student Tutorial
Learn to measure and compare the mass of solids as Devin helps Chef Kyle in the bakery with this interactive tutorial.
Type: Original Student Tutorial
Learn about the heart, lungs, stomach, brain, and reproductive organs in this interactive research page on the organs and structures of the human body.
This is part 1 in a three-part series.
- Open Human Body: Part 1 (Heart, Lungs, Stomach, Brain, Reproductive)
- Open Human Body: Part 2 (Senses, Skin, Muscles, Skeleton)
- Open Human Body: Part 3 (Liver, Pancreas, Kidneys, Intestines, and Bladder)
Type: Original Student Tutorial
Learn about the water cycle's major stages and the importance of the ocean in the water cycle with this Interactive Science Research Page.
Type: Original Student Tutorial
Identify parts of quadratic equations in vertex form and interpret them in terms of the context they represent in this interactive tutorial.
Type: Original Student Tutorial
Explore and compare objects in the solar system, including planets, moons, the Sun, comets, and asteroids, with this interactive research page.
Type: Original Student Tutorial
Explore how weathering and erosion may have affected Pnyx Hill, the ancient Greek democratic meeting place which influenced our modern government with this interactive tutorial.
Type: Original Student Tutorial
Explore excerpts from the extraordinary autobiography Narrative of the Life of Frederick Douglass, as you examine the author's purpose for writing and his use of the problem and solution text structure. By the end of this interactive tutorial, you should be able to explain how Douglass uses the problem and solution text structure in these excerpts to convey his purpose for writing.
Type: Original Student Tutorial
Continue to study George Vest's "Eulogy of the Dog" speech and his use of rhetorical appeals. In Part Two of this two-part series, you'll identify his use of ethos and pathos throughout his speech.
Make sure to complete Part One before beginning Part Two. Click HERE to launch Part One.
Type: Original Student Tutorial
Read George Vest's "Eulogy of the Dog" speech in this two-part interactive tutorial. In this series, you'll identify and examine Vest's use of ethos, pathos, and logos in his speech. In Part One, you'll identify Vest's use of logos in the first part of his speech. In Part Two, you'll identify his use of ethos and pathos throughout his speech.
Make sure to complete both part of this series! Click HERE to launch Part Two.
Type: Original Student Tutorial
Continue to study epic similes in excerpts from The Iliad in Part Two of this two-part series. In Part Two, you'll learn about mood and how the language of an epic simile produces a specified mood in excerpts from The Iliad.
Make sure to complete Part One before beginning Part Two. Click HERE to view "That's So Epic: How Epic Similes Contribute to Mood (Part One)."
Type: Original Student Tutorial
Learn about how epic similes create mood in a text, specifically in excerpts from The Iliad, in this two-part series.
In Part One, you'll define epic simile, identify epic similes based on defined characteristics, and explain the comparison created in an epic simile.
In Part Two, you'll learn about mood and how the language of an epic simile produces a specified mood in excerpts from The Iliad. Make sure to complete both parts!
Click HERE to view "That's So Epic: How Epic Similes Contribute to Mood (Part Two)."
Type: Original Student Tutorial
Continue to read the famous short story “The Bet” by Anton Chekhov and explore the impact of a fifteen-year bet made between a lawyer and a banker. In Part Two, you’ll cite textual evidence that supports an analysis of what the text states explicitly, or directly. You'll also make inferences, support them with textual evidence, and use them to explain how the bet transformed the lawyer and the banker by the end of the story.
Make sure to complete Part One before beginning Part Two. Click HERE to view Part One.
Make sure to complete Part Three after you finish Part Two. Click HERE to view "Risky Betting: Analyzing a Universal Theme (Part Three)."
Type: Original Student Tutorial
Read the famous short story “The Bet” by Anton Chekhov and explore the impact of a fifteen-year bet made between a lawyer and a banker in this three-part tutorial series.
In Part One, you’ll cite textual evidence that supports an analysis of what the text states explicitly, or directly, and make inferences and support them with textual evidence. By the end of Part One, you should be able to make three inferences about how the bet has transformed the lawyer by the middle of the story and support your inferences with textual evidence.
Make sure to complete all three parts!
Click HERE to launch "Risky Betting: Text Evidence and Inferences (Part Two)."
Click HERE to launch "Risky Betting: Analyzing a Universal Theme (Part Three)."
Type: Original Student Tutorial
Identify rhyme, alliteration, and repetition in Edgar Allan Poe's "The Raven" and analyze how he used these sound devices to affect the poem in this interactive tutorial.
Type: Original Student Tutorial
Study excerpts from the classic American novel Little Women by Louisa May Alcott in this interactive English Language Arts tutorial. Using excerpts from chapter eight of Little Women, you'll identify key characters and their actions. You'll also explain how interactions between characters contributes to the development of the plot.
Type: Original Student Tutorial
Examine how allusions contribute to meaning in excerpts from O. Henry's classic American short story “The Gift of the Magi." In this interactive tutorial, you'll determine how allusions in the text better develop the key story elements of setting, characters, and conflict and explain how the allusion to the Magi contributes to the story’s main message about what it means to give a gift.
Type: Original Student Tutorial
Learn to identify imagery in William Shakespeare's "Sonnet 18" and explain how that imagery contributes to the poem's meaning with this interactive tutorial.
Type: Original Student Tutorial
Study William Shakespeare's "Sonnet 18" to determine and compare two universal themes and how they are developed throughout the sonnet.
Type: Original Student Tutorial
Explore the form and meaning of William Shakespeare's “Sonnet 18.” In this interactive tutorial, you’ll examine how specific words and phrases contribute to meaning in the sonnet, select the features of a Shakespearean sonnet in the poem, identify the solution to a problem, and explain how the form of a Shakespearean sonnet contributes to the meaning of "Sonnet 18."
Type: Original Student Tutorial
Analyze how O. Henry uses details to address the topics of value, sacrifice, and love in his famous short story, "The Gift of the Magi." In this interactive tutorial, you'll also determine two universal themes of the story.
Type: Original Student Tutorial
Explore key story elements in more excerpts from the classic American short story “The Gift of the Magi” by O. Henry.
In Part Two of this two-part series, you'll analyze how important information about two main characters is revealed through the context of the story’s setting and events in the plot. By the end of this tutorial, you should be able to explain how character development, setting, and plot interact in "The Gift of the Magi."
Make sure to complete Part One before beginning Part Two. Click HERE to launch Part One.
Type: Original Student Tutorial
Explore key story elements in the classic American short story “The Gift of the Magi” by O. Henry. Throughout this two-part tutorial, you'll analyze how important information about two main characters is revealed through the context of the story’s setting and events in the plot. By the end of this tutorial series, you should be able to explain how character development, setting, and plot interact in excerpts from this short story.
Make sure to complete both parts! Click HERE to view "How Story Elements Interact in 'The Gift of the Magi' -- Part Two."
Type: Original Student Tutorial
Learn to identify and interpret parts of linear expressions in terms of mathematical or real-world contexts in this original tutorial.
Type: Original Student Tutorial
Follow Jake along as he relates box plots with other plots and identifies possible outliers in real-world data from surveys of moviegoers' ages in part 2 in this interactive tutorial.
This is part 2 of 2-part series, click HERE to view part 1.
Type: Original Student Tutorial
Read more from the fantasy novel The Princess and the Goblin by George MacDonald in Part Two of this three-part series. By the end of this tutorial, you should be able to compare and contrast the archetypes of two characters in the novel.
Make sure to complete all three parts of this series in order to compare and contrast the use of archetypes in two texts.
Click HERE to view "Archetypes -- Part One: Examining an Archetype in The Princess and the Goblin."
Click HERE to view "Archetypes -- Part Three: Comparing and Contrasting Archetypes in Two Fantasy Stories."
Type: Original Student Tutorial
Learn to determine the important traits of a main character named Princess Irene in excerpts from the fantasy novel The Princess and the Goblin by George MacDonald. In this interactive tutorial, you’ll also identify her archetype and explain how textual details about her character support her archetype.
Make sure to complete all three parts of this series in order to compare and contrast the use of archetypes in two texts.
Click HERE to view "Archetypes -- Part Two: Examining Archetypes in The Princess and the Goblin."
Click HERE to view "Archetypes -- Part Three: Comparing and Contrasting Archetypes in Two Fantasy Stories."
Type: Original Student Tutorial
Follow Jake as he displays real-world data by creating box plots showing the 5 number summary and compares the spread of the data from surveys of the ages of moviegoers in part 1 of this interactive tutorial.
This is part 1 of 2-part series, click HERE to view part 2.
Type: Original Student Tutorial
Learn to identify aspects of setting and character as you analyze several excerpts from “The Yellow Wallpaper," a chilling short story by Charlotte Perkins Gilman that explores the impact on its narrator of being confined to mostly one room. You'll also determine how the narrator’s descriptions of the story’s setting better reveal her emotional and mental state.
This interactive tutorial is Part One in a two-part series. By the end of Part Two, you should be able to explain how the narrator changes through her interaction with the setting. Click below to launch Part Two.
The Power to Cure or Impair: The Importance of Setting in 'The Yellow Wallpaper' -- Part Two
Type: Original Student Tutorial
Continue to examine several excerpts from the chilling short story “The Yellow Wallpaper” by Charlotte Perkins Gilman, which explores the impact on its narrator of being confined to mostly one room. In Part Two of this tutorial series, you'll determine how the narrator’s descriptions of the story’s setting reveal its impact on her emotional and mental state. By the end of this tutorial, you should be able to explain how the narrator changes through her interaction with the setting.
Make sure to complete Part One before beginning Part Two. Click HERE to launch "The Power to Cure or Impair: The Importance of Setting in 'The Yellow Wallpaper' -- Part One."
Type: Original Student Tutorial
Learn about exponential decay as you calculate the value of used cars by examining equations, graphs, and tables in this interactive tutorial.
Type: Original Student Tutorial
Explore the mysterious poem “The House on the Hill” by Edwin Arlington Robinson in this interactive tutorial. As you explore the poem's message about the past, you’ll identify the features of a villanelle in the poem. By the end of this tutorial, you should be able to explain how the form of a villanelle contributes to the poem's meaning.
Type: Original Student Tutorial
Learn how to interpret key features of linear functions and translate between representations of linear functions through exploring jobs for teenagers in this interactive tutorial.
Type: Original Student Tutorial
Learn about exponential growth in the context of interest earned as money is put in a savings account by examining equations, graphs, and tables in this interactive tutorial.
Type: Original Student Tutorial
Learn about exponential functions and how they are different from linear functions by examining real world situations, their graphs and their tables in this interactive tutorial.
Type: Original Student Tutorial
Continue to explore the significance of the famous poem “The New Colossus” by Emma Lazarus, lines from which are engraved on the pedestal of the Statue of Liberty.
In Part Two of this two-part series, you’ll identify the features of a sonnet in the poem "The New Colossus." By the end of this tutorial, you should be able to explain how the form of a sonnet contributes to the poem's meaning.
Make sure to complete Part One before beginning Part Two.
Click HERE to launch "A Giant of Size and Power -- Part One: Exploring the Significance of 'The New Colossus.'"
Type: Original Student Tutorial
Continue to examine how setting influences characters in excerpts from The Red Umbrella by Christina Diaz Gonzalez with this interactive tutorial.
This is part 2 in a two-part series. Make sure to complete Part One first. Click HERE to launch "Analyzing the Beginning of The Red Umbrella -- Part One: How Setting Influences Events."
Type: Original Student Tutorial
In Part One, explore the significance of the famous poem “The New Colossus” by Emma Lazarus, lines from which are engraved on the pedestal of the Statue of Liberty.
This famous poem also happens to be in the form of a sonnet. In Part Two of this two-part series, you’ll identify the features of a sonnet in the poem. By the end of this tutorial series, you should be able to explain how the form of a sonnet contributes to the poem's meaning. Make sure to complete both parts!
Click HERE to launch "A Giant of Size and Power -- Part Two: How the Form of a Sonnet Contributes to Meaning in 'The New Colossus.'"
Type: Original Student Tutorial
Explore excerpts from the beginning of the historical fiction novel The Red Umbrella by Christina Diaz Gonzalez in this two-part series. In Part One, you'll examine how setting influences events. In Part Two, you'll examine how setting influences characters.
Make sure to complete both parts! Click HERE to launch Part Two.
Type: Original Student Tutorial
Learn how to evaluate and interpret function notation by following Melissa and Jose on their travels in this interactive tutorial.
Type: Original Student Tutorial
This SaM-1 video provides the students with the optional "twist" for Lesson 17 and the Model Eliciting Activity (MEA) they have been working on in the Grade 3 Physical Science Unit: Water Beach Vacation.
To see all the lessons in the unit please visit https://www.cpalms.org/page818.aspx.
Type: Original Student Tutorial
This video introduces the students to a Model Eliciting Activity (MEA) and concepts related to conducting experiments so they can apply what they learned about the changes water undergoes when it changes state. This MEA provides students with an opportunity to develop a procedure based on evidence for selecting the most effective cooler.
This SaM-1 video is to be used with lesson 14 in the Grade 3 Physical Science Unit: Water Beach Vacation. To see all the lessons in the unit please visit https://www.cpalms.org/page818.aspx.
Type: Original Student Tutorial
Explore Robert Frost's poem "Mending Wall" and examine words, phrases, and lines with multiple meanings. In this interactive tutorial, you'll analyze how these multiple meanings can affect a reader’s interpretation of the poem.
Type: Original Student Tutorial
Examine the topics of transformation and perfection as you read excerpts from the “Myth of Pygmalion” by Ovid and the short story “The Birthmark” by Nathaniel Hawthorne. By the end of this two-part interactive tutorial series, you should be able to explain how the short story draws on and transforms source material from the original myth.
This tutorial is the second in a two-part series. Click HERE to launch Part One.
Type: Original Student Tutorial
Examine the topics of transformation and perfection as you read excerpts from the “Myth of Pygmalion” by Ovid and the short story “The Birthmark” by Nathaniel Hawthorne. By the end of this two-part interactive tutorial series, you should be able to explain how the short story draws on and transforms source material from the original myth.
This tutorial is the first in a two-part series. Click HERE to launch Part Two.
Type: Original Student Tutorial
Learn more about that dreaded word--plagiarism--in this interactive tutorial that's all about citing your sources, creating a Works Cited page, and avoiding academic dishonesty!
Type: Original Student Tutorial
Learn more about that dreaded word--plagiarism--in this interactive tutorial that's all about citing your sources and avoiding academic dishonesty!
Type: Original Student Tutorial
Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this two-part series. This tutorial is Part Two. In this tutorial, you will continue to examine excerpts from Emerson's essay that focus on the topic of traveling. You'll examine word meanings and determine the connotations of specific words. You will also analyze the impact of specific word choices on the meaning of this portion of the essay.
Make sure to complete Part One first. Click HERE to launch Part One.
Type: Original Student Tutorial
Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this two-part interactive tutorial series. You will examine word meanings, examine subtle differences between words with similar meanings, and think about the emotions or associations that are connected to specific words. Finally, you will analyze the impact of specific word choices on the meaning of these excerpts.
Make sure to complete both parts! Click HERE to launch Part Two.
Type: Original Student Tutorial
Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this interactive two-part tutorial. This tutorial is Part Two. In this two-part series, you will learn to enhance your experience of Emerson's essay by analyzing his use of the word "genius." You will analyze Emerson's figurative meaning of "genius" and how he develops and refines the meaning of this word over the course of the essay.
Make sure to complete Part One before beginning Part Two. Click HERE to view Part One.
Type: Original Student Tutorial
Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this interactive two-part tutorial. In Part One, you’ll learn to enhance your experience of a text by analyzing its use of a word’s figurative meaning. Specifically, you'll examine Emerson's figurative meaning of the key term "genius." In Part Two, you’ll learn how to track the development of a word’s figurative meaning over the course of a text.
Make sure to complete both parts of the tutorial! Click HERE to launch Part Two.
Type: Original Student Tutorial
Practice analyzing word choices in "The Raven" by Edgar Allan Poe, including word meanings, subtle differences between words with similar meanings, and emotions connected to specific words. In this interactive tutorial, you will also analyze the impact of specific word choices on the meaning of the poem.
This is Part Two of a two-part series. Part One should be completed before beginning Part Two. Click HERE to open Part One.
Type: Original Student Tutorial
Practice analyzing word choices in "The Raven" by Edgar Allan Poe in this interactive tutorial. In this tutorial, you will examine word meanings, examine subtle differences between words with similar meanings, and think about emotions connected to specific words. You will also analyze the impact of specific word choices on the meaning of the poem.
This tutorial is Part One of a two-part series on Poe's "The Raven." Click HERE to open Part Two.
Type: Original Student Tutorial
Learn how to create a Poem in 2 Voices in this interactive tutorial. This tutorial is Part Three of a three-part series. In this tutorial, you will learn how to create a Poem in 2 Voices using evidence drawn from a literary text: The Strange Case of Dr. Jekyll and Mr. Hyde by Robert Louis Stevenson.
You should complete Part One and Part Two of this series before beginning Part Three.
Click HERE to launch Part One. Click HERE to launch Part Two.
Type: Original Student Tutorial
Get ready to travel back in time to London, England during the Victorian era in this interactive tutorial that uses text excerpts from The Strange Case of Dr. Jekyll and Mr. Hyde. This tutorial is Part Two of a three-part series. You should complete Part One before beginning this tutorial. In Part Two, you will read excerpts from the last half of the story and practice citing evidence to support analysis of a literary text. In the third tutorial in this series, you’ll learn how to create a Poem in 2 Voices using evidence from this story.
Make sure to complete all three parts! Click to HERE launch Part One. Click HERE to launch Part Three.
Type: Original Student Tutorial
Learn how authors create mood in a story through this interactive tutorial. You'll read a science fiction short story by author Ray Bradbury and analyze how he uses images, sound, dialogue, setting, and characters' actions to create different moods. This tutorial is Part One in a two-part series. In Part Two, you'll use Bradbury's story to help you create a Found Poem that conveys multiple moods.
When you've completed Part One, click HERE to launch Part Two.
Type: Original Student Tutorial
Practice writing different aspects of an expository essay about scientists using drones to research glaciers in Peru. This interactive tutorial is part four of a four-part series. In this final tutorial, you will learn about the elements of a body paragraph. You will also create a body paragraph with supporting evidence. Finally, you will learn about the elements of a conclusion and practice creating a “gift.”
This tutorial is part four of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Practice citing evidence to support analysis of a literary text as you read excerpts from one of the most famous works of horror fiction of all time, The Strange Case of Dr. Jekyll and Mr. Hyde.
This tutorial is Part One of a three-part tutorial. In Part Two, you'll continue your analysis of the text. In Part Three, you'll learn how to create a Poem in 2 Voices using evidence from this story. Make sure to complete all three parts!
Click HERE to launch Part Two. Click HERE to launch Part Three.
Type: Original Student Tutorial
Learn how to write an introduction for an expository essay in this interactive tutorial. This tutorial is the third part of a four-part series. In previous tutorials in this series, students analyzed an informational text and video about scientists using drones to explore glaciers in Peru. Students also determined the central idea and important details of the text and wrote an effective summary. In part three, you'll learn how to write an introduction for an expository essay about the scientists' research.
This tutorial is part three of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Learn how to identify the central idea and important details of a text, as well as how to write an effective summary in this interactive tutorial. This tutorial is the second tutorial in a four-part series that examines how scientists are using drones to explore glaciers in Peru.
This tutorial is part two of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Learn about how researchers are using drones, also called unmanned aerial vehicles or UAVs, to study glaciers in Peru. In this interactive tutorial, you will practice citing text evidence when answering questions about a text.
This tutorial is part one of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Learn how to avoid plagiarism in this interactive tutorial. You will also learn how to follow a standard format for citation and how to format your research paper using MLA style. Along the way, you will also learn about master magician Harry Houdini. This tutorial is Part Two of a two-part series on research writing.
Be sure to complete Part One first. Click to view Part One.
Type: Original Student Tutorial
Learn about paraphrasing and the use of direct quotes in this interactive tutorial about research writing. Along the way, you'll also learn about master magician Harry Houdini. This tutorial is part one of a two-part series, so be sure to complete both parts.
Check out part two—Avoiding Plaigiarism: It's Not Magic here.
Type: Original Student Tutorial
Learn how to create a Found Poem with changing moods in this interactive tutorial. This tutorial is Part Two of a two-part series. In Part One, students read “Zero Hour,” a science fiction short story by author Ray Bradbury and examined how he used various literary devices to create changing moods. In Part Two, students will use words and phrases from “Zero Hour” to create a Found Poem with two of the same moods from Bradbury's story.
Click HERE to launch Part One.
Type: Original Student Tutorial
Cite text evidence and make inferences about the "real" history of Halloween in this spooky interactive tutorial.
Type: Original Student Tutorial
Learn more about that dreaded word--plagiarism--in this interactive tutorial that's all about citing your sources and avoiding academic dishonesty!
Type: Original Student Tutorial
Learn how to cite evidence and draw inferences in this interactive tutorial. Using an informational text about cyber attacks, you'll practice identifying text evidence and making inferences based on the text.
Type: Original Student Tutorial
Learn how to define and identify claims being made within a text. This tutorial will also show you how evidence can be used effectively to support the claim being made. Lastly, this tutorial will help you write strong, convincing claims of your own.
Type: Original Student Tutorial
Learn to identify explicit textual evidence and make inferences based on the text. In this interactive tutorial, you'll sharpen your analysis skills while reading about the famed American explorers, Lewis and Clark, and their trusted companion, Sacagawea. You'll practice analyzing the explicit textual evidence wihtin the text, and you'll also make your own inferences based on the available evidence.
Type: Original Student Tutorial
Explore the mystery of muscle cell metabolism and how cells are able to meet the need for a constant supply of energy. In this interactive tutorial, you'll identify the basic structure of adenosine triphosphate (ATP), explain how ATP’s structure is related it its job in the cell, and connect this role to energy transfers in living things.
Type: Original Student Tutorial
Learn to identify and analyze extended metaphors using W.B. Yeats' poem, "The Stolen Child." In this interactive tutorial, we'll examine how Yeats uses figurative language to express the extended metaphor throughout this poem. We'll focus on his use of these seven types of imagery: visual, auditory, gustatory, olfactory, tactile, kinesthetic, and organic. Finally, we'll analyze how the poem's extended metaphor conveys a deeper meaning within the text.
Type: Original Student Tutorial
Learn to identify and analyze the central idea of an informational text. In this interactive tutorial, you'll read several informational passages about the history of pirates. First, you'll learn the four-step process for pinpointing the central idea. Then you'll analyze each passage to see how the central idea is developed throughout the text.
Type: Original Student Tutorial
Learn how to make inferences based on the information included in the text in this interactive tutorial. Using the short story "The Last Leaf" by O. Henry, you'll practice identifying both the explicit and implicit information in the story. You'll apply your own reasoning to make inferences based on what is stated both explicitly and implicitly in the text.
Type: Original Student Tutorial
Join Baby Bear to answer questions about key details in his favorite stories with this interactive tutorial. Learn about characters, setting, and events as you answer who, where, and what questions.
Type: Original Student Tutorial
In this tutorial, you will practice identifying relevant evidence within a text as you read excerpts from Jack London's short story "To Build a Fire." Then, you'll practice your writing skills as you draft a short response using examples of relevant evidence from the story.
Type: Original Student Tutorial
Learn how to make inferences using the novel Hoot in this interactive tutorial. You'll learn how to identify both explicit and implicit information in the story to make inferences about characters and events.
Type: Original Student Tutorial
Learn how to make inferences when reading a fictional text using the textual evidence provided. In this tutorial, you'll read the short story "The Story of an Hour" by Kate Chopin. You'll practice identifying what is directly stated in the text and what requires the use of inference. You'll practice making your own inferences and supporting them with evidence from the text.
Type: Original Student Tutorial
In Part Two of this two-part series, you'll continue to explore excerpts from the Romantic novel Jane Eyre by Charlotte Brontë. In this tutorial, you'll examine the author's use of juxtaposition, which is a technique of putting two or more elements side by side to invite comparison or contrast. By the end of this tutorial, you should be able to explain how the author’s use of juxtaposition in excerpts from the first two chapters of Jane Eyre defines Jane’s perspective regarding her treatment in the Reed household.
Make sure to complete Part One before beginning Part Two. Click HERE to view Part One.
Type: Original Student Tutorial
Dive deeper into the famous short story “The Bet” by Anton Chekhov and explore the impact of a fifteen-year bet made between a lawyer and a banker.
In Part Three, you’ll learn about universal themes and explain how a specific universal theme is developed throughout “The Bet.”
Make sure to complete the first two parts in the series before beginning Part three. Click HERE to view Part One. Click HERE to view Part Two.
Type: Original Student Tutorial
Lesson Plans
Students will use the calculated population totals to create graphs that help to visualize the totals for analyzing and representation. Census data is used as the data to provide information to analyze. Students will then use basic functions and formulas in spreadsheets to help analyze and represent the data.
Type: Lesson Plan
In this lesson plan, students will explore the history and meaning behind various patriotic holidays and make personal connections with those holidays including, Constitution Day, Memorial Day, Veteran’s Day, Patriot Day, President’s Day, Independence Day, and Medal of Honor Day.
Type: Lesson Plan
This lesson introduces the students to the concepts of correlation and causation, and the difference between the two. The main learning objective is to encourage students to think critically about various possible explanations for a correlation, and to evaluate their plausibility, rather than passively taking presented information on faith. To give students the right tools for such analysis, the lesson covers most common reasons behind a correlation, and different possible types of causation.
Type: Lesson Plan
Perspectives Video: Experts
The tide is high! How can we statistically prove there is a relationship between the tides on the Gulf Coast and in a fresh water spring 20 miles from each other?
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
Statistical analysis played an essential role in using microgravity sensors to determine location of caves in Wakulla County.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
<p>It's important to stay inside the lines of your project constraints to finish in time and under budget. This NASA systems engineer explains how constraints can actually promote creativity and help him solve problems!</p>
Type: Perspectives Video: Expert
Perspectives Video: Professional/Enthusiasts
Listen in as a computing enthusiast describes how hexadecimal notation is used to express big numbers in just a little space.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
Watching this video will cause your critical thinking skills to improve. You might also have a great day, but that's just correlation.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
<p>This buzzworthy video features statistics, sampling, and how scientists make inferences about populations.</p>
Type: Perspectives Video: Professional/Enthusiast
Problem-Solving Tasks
Students explore the structure of the operation s/(vn). This question provides students with an opportunity to see expressions as constructed out of a sequence of operations: first taking the square root of n, then dividing the result of that operation into s.
Type: Problem-Solving Task
This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions.
Type: Problem-Solving Task
The task is intended to address sample space, independence, probability distributions and permutations/combinations.
Type: Problem-Solving Task
Students answer questions about the probabilities of independent and dependent events.
Type: Problem-Solving Task
This problem solving task lets students explore the concept of independence of events.
Type: Problem-Solving Task
This task combines the concept of independent events with computational tools for counting combinations, requiring fluent understanding of probability in a series of independent events.
Type: Problem-Solving Task
The purpose of this task is to allow students to demonstrate an ability to construct boxplots and to use boxplots as the basis for comparing distributions.
Type: Problem-Solving Task
This task assesses a student's ability to use the addition rule to compute a probability and to interpret a probability in context.
Type: Problem-Solving Task
The purpose of this task is to assess a student's ability to explain the meaning of independence in a simple context.
Type: Problem-Solving Task
This problem solving task asks students to make deductions about the kind of music students enjoy by examining data in a two-way table.
Type: Problem-Solving Task
Students are asked to choose the best sampling method for choosing the new School Advisory Panel.
Type: Problem-Solving Task
The purpose of this task is to assess (1) ability to distinguish between an observational study and an experiment and (2) understanding of the role of random assignment to experimental groups in an experiment.
Type: Problem-Solving Task
This problem could be used as an introductory lesson to introduce group comparisons and to engage students in a question they may find amusing and interesting.
Type: Problem-Solving Task
This is a simple task addressing the distinction between correlation and causation. Students are given information indicating a correlation between two variables, and are asked to reason out whether or not a causation can be inferred.
Type: Problem-Solving Task
The purpose of this task is to assess ability to interpret the slope and intercept of the line of fit in context.
Type: Problem-Solving Task
This problem solving task asks students to examine the relationship between shops and crimes by using a correlation coefficient. The implications of linking correlation with causation are discussed.
Type: Problem-Solving Task
This task lets students explore the concepts of probability as a fraction of outcomes using two-way tables.
Type: Problem-Solving Task
This task asks students to calculate probabilities using information presented in a two-way frequency table.
Type: Problem-Solving Task
The task provides a context to calculate discrete probabilities and represent them on a bar graph.
Type: Problem-Solving Task
This problem solving task on probability combinations gives a situation where the numbers are too large to calculate, so abstract reasoning is required in order to compare the different probabilities.
Type: Problem-Solving Task
This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic using a table of data.
Type: Problem-Solving Task
In this example, students are asked to write a function describing the population growth of algae. It is implied that this is exponential growth.
Type: Problem-Solving Task
This problem solving task challenges students to find the linear, exponential and quadratic functions based on two points.
Type: Problem-Solving Task
This problem solving task asks students to predict and model US population based on a chart of US population data from 1982 to 1988.
Type: Problem-Solving Task
This problem solving task asks students to solve five exponential and linear function problems based on a US population chart for the years 1790-1860.
Type: Problem-Solving Task
This problem is an exponential function example that uses the real-world problem of how fast rumors spread.
Type: Problem-Solving Task
The purpose of this task is to give students an opportunity to explore various aspects of exponential models (e.g., distinguishing between constant absolute growth and constant relative growth, solving equations using logarithms, applying compound interest formulas) in the context of a real world problem with ties to developing financial literacy skills. In particular, students are introduced to the idea of inflation of prices of a single commodity, and are given a very brief introduction to the notion of the Consumer Price Index for measuring inflation of a body of goods.
Type: Problem-Solving Task
The coffee cooling experiment is a popular example of an exponential model with immediate appeal. The model is realistic and provides a good context for students to practice work with exponential equations.
Type: Problem-Solving Task
This task gives a variation of real-life contexts which could be modeled by a linear or exponential function. The key distinguishing feature between the two is whether the change by equal factors over equal intervals (exponential functions), or by a constant increase per unit interval (linear functions). The task could either be used as an assessment problem on this distinction, or used as an introduction to the differences between these very important classes of functions.
Type: Problem-Solving Task
This problem complements the problem "Do two points always determine a linear function?'' There are two constraints on a pair of points R1 and R2 if there is an exponential function f(x) = ae^bx whose graph contains R1 and R2.
Type: Problem-Solving Task
This task gives students an opportunity to work with exponential functions in a real world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve exponential equations.
Type: Problem-Solving Task
This exploratory task requires the student to use properties of exponential functions in order to estimate how much Carbon 14 remains in a preserved plant after different amounts of time.
Type: Problem-Solving Task
In the task "Carbon 14 Dating" the amount of Carbon 14 in a preserved plant is studied as time passes after the plant has died. In practice, however, scientists wish to determine when the plant died, and as this task shows, that is not possible with a simple measurement of the amount of Carbon 14 remaining in the preserved plant.
Type: Problem-Solving Task
The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating, important in archaeology and geology, among other places. Students should be guided to recognize the use of the natural logarithm when the exponential function has the given base of e, as in this problem. Note that the purpose of this task is algebraic in nature -- closely related tasks exist which approach similar problems from numerical or graphical stances.
Type: Problem-Solving Task
This task involves a fairly straightforward decaying exponential. Filling out the table and developing the general formula is complicated only by the need to work with a fraction that requires decisions about rounding and precision.
Type: Problem-Solving Task
This task provides a real world context for interpreting and solving exponential equations. There are two solutions provided for part (a). The first solution demonstrates how to deduce the conclusion by thinking in terms of the functions and their rates of change. The second approach illustrates a rigorous algebraic demonstration that the two populations can never be equal.
Type: Problem-Solving Task
This task provides an interesting context to ask students to estimate values in an exponential function using a graph.
Type: Problem-Solving Task
The given solutions for this task involve the creation and solving of a system of two equations and two unknowns, with the caveat that the context of the problem implies that we are interested only in non-negative integer solutions. Indeed, in the first solution, we must also restrict our attention to the case that one of the variables is further even. This aspect of the task is illustrative of the mathematical practice of modeling with mathematics, and crucial as the system has an integer solution for both situations, that is, whether we include the dollar on the floor in the cash box or not.
Type: Problem-Solving Task
This task can be used as a quick assessment to see if students can make sense of a graph in the context of a real world situation. Students also have to pay attention to the scale on the vertical axis to find the correct match. The first and third graphs look very similar at first glance, but the function values are very different since the scales on the vertical axes are very different. The task could also be used to generate a group discussion on interpreting functions given by graphs.
Type: Problem-Solving Task
In this task, students will use inverse operations to solve the equations for the unknown variable or for the designated variable if there is more than one.
Type: Problem-Solving Task
The purpose of this task is to help students learn to read information about a function from its graph, by asking them to show the part of the graph that exhibits a certain property of the function. The task could be used to further instruction on understanding functions or as an assessment tool, with the caveat that it requires some amount of creativity to decide how to best illustrate some of the statements.
Type: Problem-Solving Task
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
Type: Problem-Solving Task
Students are asked to interpret the effect on the value of an expression given a change in value of one of the variables.
Type: Problem-Solving Task
Students examine and answer questions related to a scenario similar to a "mixture" problem involving two different mixtures of fertilizer. In this example, students determine and then compare expressions that correspond to concentrations of various mixtures. Ultimately, students generalize the problem and verify conclusions using algebraic rather than numerical expressions.
Type: Problem-Solving Task
Students are asked to interpret expressions and equations within the context of the amounts of caramels and truffles in a box of candy.
Type: Problem-Solving Task
This problem asks students to consider algebraic expressions calculating the number of floor tiles in given patterns. The purpose of this task is to give students practice in reading, analyzing, and constructing algebraic expressions, attending to the relationship between the form of an expression and the context from which it arises. The context here is intentionally thin; the point is not to provide a practical application to kitchen floors, but to give a framework that imbues the expressions with an external meaning.
Type: Problem-Solving Task
This resource describes a simple scenario which can be represented by the use of variables. Students are asked to examine several variable expressions, interpret their meaning, and describe what quantities they each represent in the given context.
Type: Problem-Solving Task
This task asks the student to gather data on whether classmates play an instrument and/or participate in a sport, summarize the data in a table and decide whether there is an association between playing a sport and playing an instrument. Finally, the student is asked to create a graph to display any association between the variables.
Type: Problem-Solving Task
In this task students interpret the relative size of variable expressions involving two variables in the context of a real world situation. All given expressions can be interpreted as quantities that one might study when looking at two animal populations.
Type: Problem-Solving Task
Students are asked to examine data given in table format and then calculate either row percentages or column percentages and state a conclusion about the meaning of the data. Either calculation is appropriate for the solution since there is no clear relationship between the variables. Whether the student sees a strong association or not is less important than whether his or her answer uses the data appropriately and demonstrates understanding that an association means the distribution of favorite subject is different for 7th graders and 8th graders.
Type: Problem-Solving Task
Students are asked to write equations to model the repair costs of three different companies and determine the conditions for which each company would be least expensive. This task can be used to both assess student understanding of systems of linear equations or to promote discussion and student thinking that would allow for a stronger solidification of these concepts. The solution can be determined in multiple ways, including either a graphical or algebraic approach.
Type: Problem-Solving Task
Text Resources
Using this case study, students can answer the question, "How does the composition of a scene influence how the viewer feels?"
Type: Text Resource
Using this case study, students can answer the question, "What are the limits of fair use regarding copyright protection?"
Type: Text Resource
Using this case study students can discuss "How can an employee"s behaviors and actions drive their career stability and path?"
Type: Text Resource
Tutorial
Video/Audio/Animation
Literal equations are formulas for calculating the value of one unknown quantity from one or more known quantities. Variables in the formula are replaced by the actual or 'literal' values corresponding to a specific instance of the relationship.
Type: Video/Audio/Animation
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