## Course Standards

## General Course Information and Notes

### General Notes

**Honors and Advanced Level Course Note: **Advanced courses require a greater demand on students through increased academic rigor. Academic rigor is obtained through the application, analysis, evaluation, and creation of complex ideas that are often abstract and multi-faceted. Students are challenged to think and collaborate critically on the content they are learning. Honors level rigor will be achieved by increasing text complexity through text selection, focus on high-level qualitative measures, and complexity of task. Instruction will be structured to give students a deeper understanding of conceptual themes and organization within and across disciplines. Academic rigor is more than simply assigning to students a greater quantity of work.

**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

**Course Number:**1202300

**Course Path:**

**Abbreviated Title:**CALCULUS HON

**Number of Credits:**One (1) credit

**Course Length:**Year (Y)

**Course Attributes:**

- Honors

**Course Type:**Core Academic Course

**Course Level:**3

**Course Status:**Course Approved

**Grade Level(s):**9,10,11,12

**Graduation Requirement:**Mathematics

## Educator Certifications

## Student Resources

## Original Student Tutorial

Learn how to evaluate a speaker's point of view, reasoning, and use of evidence. In this interactive tutorial, you'll examine Abraham Lincoln's "Gettysburg Address" and evaluate the effectiveness of his words by analyzing his use of reasoning and evidence.

Type: Original Student Tutorial

## Tutorials

You will learn how to find the absolute and relative minima and maxima of functions.

Type: Tutorial

You will learn how to identify relative minimum and maximum values of functions.

Type: Tutorial

You will learn how to find concavity, concave upwards and concave downwards intervals of functions, and how this relates to the second derivative of a function.

Type: Tutorial

How to find inflection points of functions graphically and using the second derivaive.

Type: Tutorial

You will learn how to use the first and second derivatives to identify critical points and inflection points and to graph a logarithm function.

Type: Tutorial

In this video we will learn through an example, that a derivative is simply the slope of a curve at any given point.

Type: Tutorial

In this video we will find the slope of the tangent line using the formal definition of derivative.

Type: Tutorial

This video will help you determine how to infer limits when given numerical data.

Type: Tutorial

We will find the derivative of a function by finding the slope of the tangent line.

Type: Tutorial

In this video we will take an in depth look at the Mean Value Theorem.

Type: Tutorial

In this video we will find the derivative of a function based on the slope of the tangent line.

Type: Tutorial

In this video we will use the chain rule and the product rule together to find a derivative of a composite function.

Type: Tutorial

In this video will will apply the product rule to find the derivative of two functions.

Type: Tutorial

In this video, we will use the product rule to find the derivative of the product of three functions.

Type: Tutorial

In this video, we will find the derivative of a log with an arbitrary base.

Type: Tutorial

Here we will see how the chain rule is used to find the derivative of a logarithmic function.

Type: Tutorial

This video is an introduction on how to apply the chain rule to find the derivative of a composite function.

Type: Tutorial

In this video we will define the chain rule and use it to find the derivative of a function.

Type: Tutorial

We will use the chain rule to find the derivative of a triple-composite function.

Type: Tutorial

In this video we will analyze the graph of a function and its tangent line, then use the chain rule to find the value of the derivative at that point.

Type: Tutorial

We will use the chain rule to find the value of a composite function at a given point, given the graphs of the two composing functions.

Type: Tutorial

In this video we will find the limit of a function as it approaches positive infinity and negative infinity.

Type: Tutorial

Here we will explore three more functions, and find their limits as they approach infinity.

Type: Tutorial

Here we will use algebra to find the limit of a function with radicals as it approaches infinity.

Type: Tutorial

Here we will find the limit of a function as it approaches positive and negative infinity and results in two horizontal asymptotes.

Type: Tutorial

This resource explores the electromagnetic spectrum and waves by allowing the learner to observe the refraction of light as it passes from one medium to another, study the relation between refraction of light and the refractive index of the medium, select from a list of materials with different refractive indicecs, and change the light beam from white to monochromatic and observe the difference.

Type: Tutorial

- Observe how the eye's muscles change the shape of the lens in accordance with the distance to the object being viewed
- Indicate the parts of the eye that are responsible for vision
- View how images are formed in the eye

Type: Tutorial

- Learn how a concave spherical mirror generates an image
- Observe how the size and position of the image changes with the object distance from the mirror
- Learn the difference between a real image and a virtual image
- Learn some applications of concave mirrors

Type: Tutorial

- Learn how a convex mirror forms the image of an object
- Understand why convex mirrors form small virtual images
- Observe the change in size and position of the image with the change in object's distance from the mirror
- Learn some practical applications of convex mirrors

Type: Tutorial

- Observe the change of color of a black body radiator upon changes in temperature
- Understand that at 0 Kelvin or Absolute Zero there is no molecular motion

Type: Tutorial

This resource explains how a solar cell converts light energy into electrical energy. The user will also learn about the different components of the solar cell and observe the relationship between photon intensity and the amount of electrical energy produced.

Type: Tutorial

- Observe that light is composed of oscillating electric and magnetic waves
- Explore the propagation of an electromagnetic wave through its electric and magnetic field vectors
- Observe the difference in propagation of light of different wavelengths

Type: Tutorial

- Explore the relationship between wavelength, frequency, amplitude and energy of an electromagnetic wave
- Compare the characteristics of waves of different wavelengths

Type: Tutorial

- Learn to trace the path of propagating light waves using geometrical optics
- Observe the effect of changing parameters such as focal length, object dimensions and position on image properties
- Learn the equations used in determining the size and locations of images formed by thin lenses

Type: Tutorial

## Video/Audio/Animation

With an often unexpected outcome from a simple experiment, students can discover the factors that cause and influence thermohaline circulation in our oceans. In two 45-minute class periods, students complete activities where they observe the melting of ice cubes in saltwater and freshwater, using basic materials: clear plastic cups, ice cubes, water, salt, food coloring, and thermometers. There are no prerequisites for this lesson but it is helpful if students are familiar with the concepts of density and buoyancy as well as the salinity of seawater. It is also helpful if students understand that dissolving salt in water will lower the freezing point of water. There are additional follow up investigations that help students appreciate and understand the importance of the ocean's influence on Earth's climate.

Type: Video/Audio/Animation

Section:Grades PreK to 12 Education Courses >Grade Group:Grades 9 to 12 and Adult Education Courses >Subject:Mathematics >SubSubject:Calculus >