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Course Standards
General Course Information and Notes
Version Description
In Mathematics for ACT and SAT, instructional time will emphasize six areas:
(1) extending understanding of functions to linear, quadratic and exponential functions and using them to model and analyze real-worldrelationships;
(2) developing understanding of the complex number system, including complex numbers as roots of polynomial equations;
(3) extending knowledge of ratios, proportions and functions to data and financial contexts;
(4) solve problems involving univariate and bivariate data and make inferences from collected data;
(5) relationships and theorems involving two-dimensional figures using Euclidean geometry and coordinate geometry;
(6) graph and apply trigonometric relations and functions.
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.
All clarifications stated, whether general or specific to Mathematics for ACT and SAT, are expectations for instruction of that benchmark.
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.aspxand 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 how to graph linear functions by creating a table of values based on the equation in this interactive tutorial.
This is part 1 of a series of tutorials on linear functions.
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
Join us as we watch ball games and explore how the height of a ball bounce over time is represented by quadratic functions, which provides opportunities to interpret key features of the function in this interactive tutorial.
This is part 1 of a two-part series: Click HERE to open part 2.
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
Learn what non-perfect squares are and find the decimal approximation of their square roots in this interactive tutorial.
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 the process of completing the square of a quadratic function to find the maximum or minimum to discover how high a dolphin jumped in this interactive tutorial.
This is part 2 of a 2 part series. Click HERE to open part 1.
Type: Original Student Tutorial
Learn the process of completing the square of a quadratic function to find the maximum or minimum to discover how high a dolphin jumped in this interactive tutorial.
This is part 1 of a 2 part series. Click HERE to open Part 2.
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
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
Visualize the effect of using a value of k in both kf(x) or f(kx) when k is greater than zero in this interactive tutorial.
Type: Original Student Tutorial
Learn how to solve rational linear and quadratic equations using cross multiplication in this interactive tutorial.
Type: Original Student Tutorial
Learn how to solve and graph compound inequalities and determine if solutions are viable in part 2 of this interactive tutorial series.
Click HERE to open Part 1.
Type: Original Student Tutorial
Learn how to solve and graph one variable inequalities, including compound inequalities, in part 1 of this interactive tutorial series.
Click HERE to open Part 2.
Type: Original Student Tutorial
Explore the construction processes for constructing an angle bisector, copying an angle and constructing a line parallel to a given line through a point not on the line using a variety of tools in this interactive, retro video game-themed tutorial.
NOTE: This tutorial uses both the angle bisector construction and the construction to copy an angle as an extension opportunity to also construct a line parallel to a given line through a point not on the line. Students also learn to identify corresponding angles created when a transversal crosses parallel lines, and discover using Geogebra that these angles are congruent.
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 graph linear inequalities in two variables to display their solutions as you complete this interactive tutorial.
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 calculate and interpret an average rate of change over a specific interval on a graph in this interactive tutorial.
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
Write linear inequalities for different money situations in this interactive tutorial.
Type: Original Student Tutorial
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
Perspectives Video: Experts
<p>Jump to it and learn more about how quadratic equations are used in robot navigation problem solving!</p>
Type: Perspectives Video: Expert
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
What's the point to learning about matrices? You can hack gaming devices for off-the-shelf real time 3D visualization!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
<p>Did you know that computers use matrices to represent color? Learn how computer graphics work in this video.</p>
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
<p>Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation.</p>
Type: Perspectives Video: Professional/Enthusiast
Problem-Solving Tasks
Students use interior and exterior angles to to verify attributes of an octagon and square. Students are given a tile pattern involving congruent regular octagons and squares.
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 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 problem asks students to model phenomena on the surface of the earth by examining the visibility of the lamp in a lighthouse from a boat.
Type: Problem-Solving Task
This problem solving task gives students the opportunity to prove a fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.
Type: Problem-Solving Task
This task engages students in an open-ended modeling task that uses similarity of right triangles.
Type: Problem-Solving Task
This problem solving task asks students to find the area of a triangle by using unit squares and line segments.
Type: Problem-Solving Task
This problem solving task challenges students to use ideas about linear functions in order to determine when certain angles are right angles.
Type: Problem-Solving Task
This task asks students to show how certain points on a plane are equidistant to points on a segment when placed on a perpendicular bisector.
Type: Problem-Solving Task
This task asks students to use a straightedge and compass to construct the line across which a triangle is reflected.
Type: Problem-Solving Task
This problem solving task challenges students to find the perpendicular meeting point of a segment from the center of a circle and a tangent.
Type: Problem-Solving Task
This problem solving task challenges students to use trigonometric functions to model the number of rabbits and foxes as a function of time.
Type: Problem-Solving Task
In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context.
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 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 requires students to use the fact that on the graph of the linear function h(x) = ax + b, the y-coordinate increases by a when x increases by one. Specific values for a and b were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.
Type: Problem-Solving Task
Although this task is fairly straightforward, it is worth noticing that it does not explicitly tell students to look for intersection points when they graph the circle and the line. Thus, in addition to assessing whether they can solve the system of equations, it is assessing a simple but important piece of conceptual understanding, namely the correspondence between intersection points of the two graphs and solutions of the system.
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
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
This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns. This progression of tasks helps distinguish between 8th grade and high school expectations related to systems of linear equations.
Type: Problem-Solving Task
This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations. The students are required to find the solution algebraically to complete the task.
Type: Problem-Solving Task
This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions.
Type: Problem-Solving Task
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
Type: Problem-Solving Task
This task provides students the opportunity to see how the mathematical ideas embedded in the standards and clusters mature over time. The task uses facts about supplementary, complementary, vertical, adjacent, and alternate interior angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. It is a good introduction to writing paragraphs, 2-column, and/or flow chart proofs.
Type: Problem-Solving Task
The goal of this task is to provide an opportunity for students to apply a wide range of ideas from geometry and algebra in order to show that a given quadrilateral is a rectangle. Creativity will be essential here as the only given information is the Cartesian coordinates of the quadrilateral's vertices. Using this information to show that the four angles are right angles will require some auxiliary constructions. Students will need ample time and, for some of the methods provided below, guidance. The reward of going through this task thoroughly should justify the effort because it provides students an opportunity to see multiple geometric and algebraic constructions unified to achieve a common purpose. The teacher may wish to have students first brainstorm for methods of showing that a quadrilateral is rectangle (before presenting them with the explicit coordinates of the rectangle for this problem): ideally, they can then divide into groups and get to work straightaway once presented with the coordinates of the quadrilateral for this problem.
Type: Problem-Solving Task
This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations.
Type: Problem-Solving Task
The task is a modeling problem which ties in to financial decisions faced routinely by businesses, namely the balance between maintaining inventory and raising short-term capital for investment or re-investment in developing the business.
Type: Problem-Solving Task
Text Resources
Using this case study students can discuss "How can an employee"s behaviors and actions drive their career stability and path?"
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 answer the question, "How does the composition of a scene influence how the viewer feels?"
Type: Text Resource
Tutorials
This tutorial will help the students to identify the vertex of a parabola from the equation, and then graph the parabola.
Type: Tutorial
This tutorial helps the learners to graph the equation of a quadratic function using the coordinates of the vertex of a parabola and its x- intercepts.
Type: Tutorial
This lecture shows how algebra is used to solve problems involving mixtures of solutions of different concentrations.
Type: Tutorial
Video/Audio/Animation
When should a system of equations with multiple variables be used to solve an Algebra problem, instead of using a single equation with a single variable?
Type: Video/Audio/Animation
Congratulations
