Why do we need to learn about radicals? Radicals are a way of providing a more exact answer than, for example, a repeating decimal. Also, radicals are the inverse operation of exponents. So think about, can we have addition without subtraction? Or Multiplication without division? Is there even Batman without Robin? So you see, radicals are essential to algebra and beyond. Today we will learn how to perform various operations on radical expressions.

Operations on Radical Expressions

In this lesson we will identify the measurements of unknown interior and exterior angles of triangles.

Interior and Exterior Angles of a Triangle

This lesson is designed to help a student understand what goes into the process of writing a narrative.  It is the first in a three-part series and focuses on the following elements of fiction: theme, characterization, setting, and point of view.

Writing a Narrative: Setting, Point of View, and Character

In the final lesson of this series, we will take your narrative from the climactic moment through the falling action down to the resolution.  We will discuss how the resolution of the conflict will convey a theme as well as some ways to edit your narrative before sharing it.

Writing a Narrative: Writing a Resolution

Have you ever wondered how to organize all of the thoughts in your head in a way that just makes sense in order to write that intimidatingly long essay? 

How about doing so without spending hours of your time trying to reach the word or page count requirement? 

This lesson with teach you how to brainstorm, plan, & organize your ideas into clear, but detailed body paragraphs for your essay. You will be able to clear the fog in your brain & follow through with your writing process confidently!

The *Bacon Cheese*burger Paragraph

Improving your vocabulary knowledge can improve your skills as a reader and as a writer. Understanding the difference between connotation and denotation can be especially helpful in determining the tone of a piece of literature and can also help you be more precise in your writing. Knowing about connotation will make it easier to determine bias in a piece of writing and will allow you to more effectively use pathos, or emotional appeals, in your writing.

Connotation vs. Denotation: Understanding Words on an Emotional Level

Every action sentence in English is written in either active voice or passive voice, but what does that actually mean? What is the difference between the two?  Have you ever had a teacher tell you to avoid using passive voice in your writing? If you are supposed to avoid it, why does passive voice exist in the first place? 

In this lesson we will go over...
- the difference between active and passive voice
- how each is formed
- the situations in which it is most effective to use each.

Active and Passive Voice

This lesson is the first lesson of a series on The Laws of Exponents. The series is designed to take you from a beginner level to an expert on how exponents work, which means you will go from identifying exponents to simplifying complex expressions involving exponents found on STAR and Algebra I Regents test. 

In this particular lesson we will focus on identifying the base and exponent in algebraic expressions, and go deeper into the special cases. 

Ready for the ride? Hop on!

Laws of Exponents Level 1: Identifying Exponents

Students will learn how to perform mole conversions.

AP Chemistry 1.1 - Moles and Molar Mass

This lesson reviews the characteristics of a linear function and shows how each value falls in a straight line.  It applies the concept of linear functions to the concept of speed to determine if a car is moving at a constant rate of change.

Determining if a Car's Speed is Constant using Linear Functions

If you have learned how to Simplify Rational Expressions, then it's time to learn how to Multiply and Divide them! We will discuss the rules for cancelling, as well as the different steps between multiplying and dividing.

Multiplying and Dividing Rational Expressions (visual)

In this lesson you will learn about Figurative Language. In particular, you will learn what are the Figures of Speech; why and when you should use them, but most importantly, you will learn how to spot  a Simile, a Metaphor, a Personification, an Allusion, a Hyperbole, a Verbal Irony and a Pun.

Figurative language

This lesson will explore ethics through the lens of utilitarianism using the famous Trolley Experiment as a tool to discuss right and wrong.

Intro To Philosophy: Ethics and Utilitarianism

In this lesson, you will learn what is contained in the six different elements of a narrative structure.  Then you will analyze a story for its elements to demonstrate your comprehension of the story, and your understanding of each narrative element. 

Understanding how a story is structured and what each element contains is fundamental.  Applying this knowledge will help an up and coming author write more engaging stories, and it will help you become better storytellers in your own lives!

Narrative elements for Fear and Fright on a Friday Night

This lesson is about understanding how functions work with input and output values.  Students will understand how each input results in one output and how the input and output sets result in ordered pairs.  Students will also understand the difference between a dependent variable and an independent variable.

Understanding Input and Output Using Functions

Dickins might be done with his job, but mine isn't :)  That's right, it's time to discuss themes: what did he want to teach us with his work?  What insights about life have we learned?  The best place to find them is in the resolution to the conflict, so an analysis of the final portion of Stave V is in order; but, there were also lessons learned along the way that were the important catalysts for Scrooge's metamorphosis.  Let's discuss!

A Christmas Carol Conclusion: Themes and Central Ideas

In this series of lessons, you will learn about the three different types of verbals- participles, gerunds, and infinitives. We will talk about what each verbal is and how they function in a sentence. Additionally, we will learn how to identify each verbal in a sentence.  This particular lesson will focus on participles.

Verbals-

The horrible act of slavery is often considered to be a problem of the past, with most students' being taught that it ended through President Lincoln's Emancipation Proclamation and the consequential surrender of the Confederate South in the Civil War. The truth, however, is much more sinister. Slavery continues in the modern day world, it just is out of sight and under the radar of most people. This introductory lesson explains what contemporary slavery is, and how we are sadly part of it.

Introduction to Contemporary Slavery

Being able to marshall your vocabulary and articulate your thoughts clearly is an imperative skill to obtain in the 21st-century world we live in today. Not only must you be able to have control over what you say, but you also must be able to justify your stance with evidence and logical reasoning.

You will learn how to write body paragraphs for a 5-paragraph argumentative essay in this lesson that will help you sharpen your argumentative skill set.

Introducing, Organizing, and Supporting a Claim

With the guidance of your thesis statement, you're now ready to write your body paragraphs!  Edit or revise the thesis as needed as you begin composing.  This is the third video in a series of four in which you will see the basic parts of writing an essay modelled for you.

Writing a Five Paragraph Essay: Writing the Body Paragraphs

In this lesson, you will review rock types, watch a demonstration modeling the differences between sedimentary, igneous, and metamorphic rocks, identify the sources of energy fueling the rock cycle, play a game sequencing the steps of the rock cycle, and create a diagram depicting the rock cycle.

Rock Cycle Processes

In this lesson Students will learn about DNA. We will answer the questions of where it is located, why we need it and what it consists of.  

Introduction to DNA

This is the third and final lesson in our understanding poetry series for grades 11, 12, and AP Literature. In this lesson, students will learn how to write an introductory paragraph for analytical essays.

Understanding Poetry: Part 3- Writing About Poetry

This lesson teaches the history of the Assyrians and their impact on the world including the areas of art, engineering, and warfare. The Assyrians were one of the most brutal people groups to have ever lived. While their contributions to the world cannot be ignored, some of their tactics were shockingly disturbing. This lesson is not recommended for young children and is strictly suitable for those old enough to be taking an upper-level or AP History course.

The Assyrians

In this lesson, you will be introduced to point-slope form of a linear equation and you will learn how to write linear equations in this form.

Point-Slope Form

This lesson will provide an in-depth look at Hammurabi's Code. 

As one of the earliest recorded legal systems, the Code of Hammurabi has been influencing the world's legal systems for thousands of years. Through this lesson, you will get a glimpse of ancient Mesopotamian culture and a firmer understanding of the legal codes that changed the world.

The Code of Hammurabi

This lesson is for grade 11, grade 12, and AP Literature and Composition students who find it challenging to interpret the theme of a text. In this lesson, I will show you how to write a thematic statement based on an initial analysis of the text. 

Understanding Poetry: Part 2 Thematic Statements

We all learned about fractions when we were younger. We learned how to reduce 2/4 to 1/2, how to multiply and divide, how to find common denominators, etc. 

Despite all that knowledge, when it comes time to learn about "rational expressions" there always seems to be problems. In reality, they really are the same concepts! So in this lesson, and this whole unit, we will learn why rational expressions really aren't that much more difficult than fractions.

Simplifying Rational Expressions

In this lesson, you will learn four rules for how to use quotation marks, dialogue, and how to punctuate dialogue correctly with 100 percent accuracy.

Four Rules for Dialogue

We will review the 3 methods for solving a system of linear equations and decide, based on key components, which method is best suited for each given problem. After obtaining this knowledge, we will jump into using our new techniques to solve real-life application problems where you will connect the math you just learned to the real world. Lastly, I will show you a 3D model that will give you a glimpse into what you will learn in your future math courses when you revisit this topic.

Comparing Methods for Solving System of Equations and Applications

In this lesson, you will learn two more reading strategies that help improve reading comprehension. You will implement these strategies to help demonstrate your understanding of a story by completing a robust quiz at the end of the lesson.

You will also briefly review previous reading comprehension strategies learned in previous lessons.

These strategies can help in all areas of your life while reading!

Summarizing and Annotating: Two More Reading Comprehension Strategies

This section of the novel is spent with the Spirit of Christmas Past: Scrooge's past.  These visits to his earlier life will show us the loneliness he felt as a child and the important relationships he had with his sister and fiancé .  Throughout the course of these travels, he will have more than one epiphany as he feels remorse over his actions in Stave One.

A Christmas Carol Stave Two: Relationships of Characters

Students will classify quadrilaterals, such as parallelogram, rectangle, square, rhombus, trapezoid, and kite. Students will determine the sum of the interior angles measures in a quadrilateral.

Quadrilaterals

Allusions are like the inside jokes of literature - they're not always funny, but they are a way for the author to communicate extra information to their audience. Many authors - especially of more complex texts - use allusions to help the audience form a richer interpretation of a character, place, or situation. As a reader, you have to understand how this tool works in order to gain this extra information while you're reading and analyzing.

All About Allusions

In our world, there are so many objects that hold special meaning. We understand what signs mean, we know what a logo stands for - all around us are objects that hold powerful concepts. This is exactly how symbols function in literature. Learn how to identify this powerful literary element in your reading, and find out how understanding symbols can add so much to your understanding of a text.

Understanding Symbolism

The business model canvas is a business language. One can use it for describing, visualizing, and planning a business model.

BMC has nine units, or components: 
(1) value proposition
(2) customer segments, 
(3) channels of distribution 
(4) customer relationships, 
(5) revenue streams, 
(6) key resources,
(7) key activities, 
(8) key partners, and 
(9) cost structure.

In this part you will see how the 9 components work, while the main focus will be on Operations.

Business Model Canvas (Part 1)

In this lesson, we will define what a Central Idea is and different tips on how to find it in an informational text. Then we will practice writing the Central Idea of a text, with the help of a graphic organizer. Determining the central idea is an important step in understanding what a text is about.

Determining the Central Idea

In an argumentative essay the writer's purpose is to convince the audience that he or she is correct. The writer does it by stating his claim and by giving reasons to support that claim. The basic argumentative essay has a five-paragraph  structure: introduction, three body paragraphs, and a conclusion. In this lesson you will learn how to write the introductory paragraph of an argumentative essay.

Write a Thesis Statement

In this lesson, you will read an excerpt of a short story called 'Jacqueline's Vault'.  You will use context clues to infer what select words mean.  After, you will use an online dictionary to verify their meanings.

Building the skill of understanding words in context and making educated guesses is important.  While you are reading, it is laborious to reference every single unknown word, so let's practice getting good at using context clues and how good we are at using them!

RP 1: Vocabulary Skill Builder

With no break between spirits, Scrooge confronts the bleak future he faces if he doesn't change his actions.  (Will he even be given the chance?)  On this journey through a not-far-away future with The Ghost of Christmas Yet to Come, he sees the terrible conclusion to his current lifestyle.  Humbled now, Scrooge has the proper thought process to do the right thing if he lives to get the opportunity.

A Christmas Carol Stave Four: Finding Textual Evidence

In this lesson you will learn about how to write the equations of lines parallel and/or perpendicular to other lines.

Parallel and Perpendicular Lines

Welcome to the start of your essay!  Before you can write five full paragraphs, you must first define the focus of what you're going to write.  This lesson will show you examples of thesis statements for a variety of writing modes and explain their importance in the structure of your essay.

Writing a Five Paragraph Essay: Creating a Thesis Statement

In this lesson, we will learn about how to apply our knowledge of quadratics to solve real-life problems. We will be focusing on projectile motion-type problems. This lesson is to be used after learning the different types of factoring a quadratic. 

Quadratics: Projectile Motion 

Does the word "essay" scare you? How about the terms "explanatory essay" or "informative essay"? Yes, all those words scare a lot of kids, but fear no more. Today you will learn that these texts are way easier to produce than you might think. You will learn research methods and organizational tactics, and before you know it you will be writing your first masterpiece!

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