List of Everything You Need to Know in Precalculus
Welcome to Precalculus!
Welcome to Precalculus! The video beneath gives a cursory overview of all of Albert'south Core Math courses.
This page provides specific content-related data for Precalculus, including how it is organized, what standards it is aligned to, and ideas for classroom uses. If you need technical assistance, delight visit our Help Center or contact howdy@albert.io.
Subject Organization
Precalculus is organized past content themes and further broken down into topics. Within each topic, questions are organized by leveled subtopics that increase in depth and difficulty every bit the student progresses.
Themes
Our full Precalculus subject guide is designed to include thirteen themes:
- Fundamentals: Expressions, Equations, and Inequalities
- Fundamentals: Functions and Graphs
- Complex Numbers*
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions
- Trigonometric Functions
- Analytic Trigonometry*
- Matrices and Systems
- Vectors*
- Analytic Geometry and Conics
- Detached Mathematics*
- Introduction to Calculus: Limits*
- Introduction to Calculus: Derivatives and Integrals*
*these themes are coming soon
Topics
Each theme contains a range of specific topics. For example, here is a list of topics inside our "Analytic Geometry and Conics" theme:
- Quadratic Functions and Models
- Polynomial Functions and Models
- Polynomial and Synthetic Partition
- Zeros of Polynomial Functions
- Rational Functions
- Nonlinear Inequalities
Subtopics
Each topic contains scaffolded subtopics we call "levels". A typical topic will brainstorm with many piece of cake, skill-based questions in "Level i". As the levels increase, question ratios will shift towards more than moderate and difficult questions with more than real-life applications and conceptual practice.
Here's an example of how the levels work for the topic "Quadratic Functions and Models":
Using Standards to Find Questions
We know math teachers are often looking for exercise questions that align to specific standards.
Here is a listing of all the types of standards currently included in our Algebra 1 content, as well as the specific standard formatting we use:
| Blazon of Standards | Example Albert Formatting |
|---|---|
| Common Core Standard Standards (High School) | HS.A.APR.i |
| Texas Essential Knowledge and Skills | TEKS 2A.2A |
| Mathematics Florida Standards | MAFS.912.A-April.one.1 |
| New York Land Next Generation Mathematics Learning Standards | NY AI-APR.1 |
Have a proposition for another ready of standards we should consider including? Allow us know by submitting feedback to our support squad at hello@albert.io.
Using Tags to Detect Questions
In improver to standards, Precalculus questions include tags to help differentiate the wide diversity of questions we offer.
Here is a list of all the types of tags currently included in our Algebra 1 content:
| Types of Tag | Examples |
|---|---|
| Practice Type |
|
| Integrated Math |
|
| Content Tags |
|
Note that these tags are instance-sensitive.
Question Types
Core Math uses 5 question types on Albert.
Difficulty Level of Questions
Each question on Albert is marked equally piece of cake, moderate, or hard. These difficulty levels are assigned based on a variety of factors, including:
- Flower's taxonomy and Webb'due south depth of knowledge
- The number of steps required to solve the problem
- How close the distracting choices are to the correct answers
Skill Practice
Based on teacher feedback, we've added Skill Practice subtopics to relevant Foundations of Algebra topics. These Skill Do questions requite students the at-bats they need to develop procedural fluency.
These subtopics include just multiple choice questions with the "skill" tag.
Figurer Use
Nosotros know that educators have different philosophies effectually calculator use in mathematics coursework. For Albert's Precalculus course, we suggest students accept access to a graphing estimator for any practise or assessment time.
Assessments
Precalculus includes a range of exams, including diagnostic tests, topic quizzes, and do exams for state assessments.
Diagnostic Exams
Use the following full-length exams to assess student mastery and run across students where they are:
Topic Quizzes
The short topic quizzes below can be used in many means, including as formative assessments on the virtually normally taught Precalculus topics:
Cumulative Exams
Apply the post-obit full-length exam to appraise content mastery after the completion of the Precalculus course:
Classroom Use Cases
At that place are endless possibilities for using Albert in your classroom.
Click hither to get started with creating assignments for your classroom!
Downloadable Resources
| Resources | Description |
|---|---|
| Common Core Standards Map | Do y'all base your lessons on Mutual Cores standards? Use this map to see where each standard appears in our math courses. |
| Core Math Tag Map | This resource lists all content-specific tags in Albert's core math subjects so you know what you can search for. |
Coming Soon
New Themes
- Complex Numbers*
- Analytic Trigonometry*
- Discrete Mathematics*
- Introduction to Calculus: Limits*
- Introduction to Calculus: Derivatives and Integrals*
New Assessments
- 5 new topic quizzes in Precalculus
Other New Features
- Integrated math tags
- Modeling prompts
- New question types (graphing, equation editor, etc.)
Precalculus Content Writers
We take a dedicated team of Precalculus teachers from across the U.S. who write our content.
We are always looking for talented, tech-savvy math teachers to join our team of content writers! If y'all're a math teacher excited nigh writing high-quality math questions that will accomplish thousands of students worldwide, click here to utilise!
Submitting Feedback
General Feedback
We dear hearing user feedback — we'd dear to hear what you similar, what can be improved, what topics and standards demand more questions, or anything else! Feel free to submit content-specific feedback virtually Geometry using our conversation feature in the bottom right-manus corner of the page.
Question Specific Feedback
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Source: https://www.albert.io/precalculus/overview
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