Pre-Calculus Enrichment Enabled by Innovative Platform Features
Concept Review LessonsBrush up on Pre-Calculus math concepts with our tutorials and animated video lessons that cover everything from types of numbers to trigonometric functions. Piqosity dynamically recommends lessons based off of a student’s demonstrated weaknesses. |
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Piqosity Virtual Tutor
Students input their goal score and timeline, from which PVT provides a personalized, step-by-step plan of action. |
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Patrick the Piqosity Virtual Tutor (PVT) personalizes the course outline and automatically guides students through lessons, practice, and review.
Adaptive & Gamified PracticePiqosity can create individualized practice sets based off a student’s weakest areas. A gamified mode provides instant feedback, leaderboard points, plus badges and sounds. |
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Pre-Calculus Unit TestsPiqosity’s Pre-Calculus math course is divided into four primary units. Paid plans include a full-length test for each unit. All plans, including the free Community plan, also feature a diagnostic test for students to quickly understand their strengths and weaknesses. The diagnostic test is especially helpful for students using Pre-Calculus in conjunction with our ACT or SAT prep courses or towards the end of the year for remediation. |
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Strengths & Weaknesses AnalysisPiqosity continuously updates your estimated test day score after every full-length test and practice set. It also analyzes all practice to provide details on strengths and weaknesses, improvements, and pacing. |
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Pre-Calculus Answer ExplanationsEvery premium question contains at least 1 explanation. Students may request additional explanations from all educators in our network. |
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Printable Practice Test PDFsBoth full-length Pre-Calculus unit tests and personalized practice sets can be downloaded as a PDF for printing. |
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Customizable TimerWant to time your Pre-Calculus practice? The default time is 90 seconds per question; however, the countdown timer can be set to time-and-a-half, and double time according to your preferences. |
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Innovative Learning ToolsPiqosity’s student interface includes helpful tools like answer choice strike-throughs, question flagging, and a whiteboard on which to do scratch work. |
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Continual GrowthOur global team of software engineers, curriculum editors, and educators is continuously deploying features and updating materials. We generally make behind-the-scenes code updates every two weeks. |
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Piqosity’s Affordable Pricing for Pre-Calculus Math Enrichment
Pre-Calculus Course Plans
| Community | On-Track | Honors | |
| Learning Materials | |||
| Mini Diagnostic Test | ✓ | ✓ | ✓ |
| Full-Length Unit Tests | 0 | 4 | 4 |
| Personalized Practice Questions | 150 | 300 | 1,300+ |
| Concept Review Lessons | ✓ | ✓ | ✓ |
| Matching ELA Course | - | - | ✓ |
| Key Platform Tools | |||
| Piqosity Virtual Tutor Personalization | ✓ | ✓ | ✓ |
| Dynamic Question Difficulty | ✓ | ✓ | ✓ |
| Strengths & Weaknesses Analysis | ✓ | ✓ | ✓ |
| Gamified & Adaptive Practice | ✓ | ✓ | ✓ |
| 3rd Party Tutor Compatibility | ✓ | ✓ | ✓ |
| One-Time Fee | free | $49 | $89 |
The chart below is for users who sign up directly with Piqosity beginning December 9, 2024.
- No credit card is required to register for the free Community Plan.
- All plans include unlimited access for 365 days.
- Lower-tier plans can be upgraded after initial purchase; however, coupons are not applicable to upgrades, and the validity period will not be extended beyond the original purchase date.
Group Pricing for Educators
Discounted, per-student pricing is available to any educator including schools, tutoring companies, teachers, or tutors. Each student license is charged individually depending on the number of active licenses in the educator’s account.
Only one type of plan is available for group discounts–the Group Plan. The Group Plan includes access to all material including practice tests but no additional services or bundled courses.
No application is required; to qualify for group pricing, simply register as an educator or organization, and the discounts will be automatically applied.
The Piqosity Advantage
Problems
Plus complementary English and test prep courses for unrivaled practice content
Innovative Platform
Our global team is continually expanding our app every 2 weeks
Mission-Driven
One product launch at a time, we’re on a mission to rethink education
Proven Experience
Our team has more than 2 decades of experience in K12 education
How to Use Piqosity’s Pre-Calculus Course
Our proven skills building methodology for the last 18+ years.
Pre-Calculus Curriculum
Aligned to Common Core and Texas Essential Knowledge & Skills
The first unit of the Pre-Calculus course focuses on functions:
- Combining Functions
- Function Transformations
- Function Domain and Range
- Polynomial and Inverse Functions
- Exponential Functions
- Law of Logarithms
- Logarithmic Functions
The second unit of the Pre-Calculus course focuses on Trigonometry:
- Trigonometric Function
- Trigonometric Functions of Angles
- Trigonometric Graphs
- The Law of Sines and Law of Cosines
- Pythagorean Identities
- Even-Odd Identities
- Quotient and Reciprocal Identities
- Cofunction Identities
- Double-Angle, Half-Angle, and Product-Sum Formulas
- Addition and Subtraction Formulas
The third unit of the Pre-Calculus course focuses on coordinates and vectors:
- Polar Coordinates and Graphs
- Complex Numbers
- De Moivre’s Theorem
- Plane Curves and Parametric Equations
- Vectors in Two Dimensions
- The Dot Product
- The Cross Product
- Vectors in Three Dimensions
- Equations of Lines and Planes in 3D
The fourth unit of the Pre-Calculus course focuses on conics and limits:
- Systems of Linear Equations in Multiple Variables
- Parabolas, Ellipses, Hyperbolas, and Circles
- Sequence and Summation Notation
- Arithmetic and Geometric Sequences
- The Binomial Theorem
- Rational Functions
- Finding Limits Numerically, Graphically, and Algebraically
- Limits at Infinity
- Average Rate of Change of a Function
Complementary Courses
English 11
Bundle our 11th grade English course for 100+ more reading passages to practice with.
ACT
Bundle this Algebra 2 math course with test prep for the ACT for unrivaled amounts of practice.
SAT
Bundle this Algebra 2 math course with test prep for the SAT for unrivaled amounts of practice.
Frequently Asked Questions
After a year of Algebra, you should be familiar with:
- Linear equations and inequalities, including interpreting, solving, and graphing them
- Systems of linear equations and inequalities
- Function notation, along with finding the domain and range of various functions
- Exponents, radicals, arithmetic and geometric sequences, and polynomials
- Quadratics, including solving and graphing quadratic functions
By the end of the year, your 5th grader should be able to:
- Work comfortably with (add, subtract, multiply, and divide) fractions.
- Work comfortably with (add, subtract, multiply, and divide) decimals to and beyond the hundredth decimal place.
- Understand and apply the correct order of operations.
- Graph points on a coordinate plane.
- Interpret the data presented in various types of tables and graphs.
- Solve very basic algebraic problems.
- Identify and correctly measure the perimeter, area, and volume of various shapes.
Our content is aligned to both Common Core and Texas Essential Knowledge and Skills (TEKS). Where applicable, we and our partners write content in accordance with our experience and the specifications set forth by the test makers (i.e. ACT, College Board, and ERB).
The dashboard for each course puts your student’s progress front and center, with easy-to-read “donuts” displaying their current score (out of 100) across the course as well as within each unit or topic that the course covers. For a more granular look at your student’s accuracy, refer to the Course Outline on the dashboard or visit the Lessons page; these tools display your student’s accuracy when it comes to individual concepts. If your student completed one of Piqosity’s diagnostic assessments upon getting started with the course, you can also compare their diagnostic scores with their current performance to get a sense of how they are progressing.
Even if it has been a while since you have reviewed Algebra, you can help your child by encouraging them to complete practice on a regular basis – including, but not limited to, the practice they are assigned by an educator. Repetition is important not only in overcoming weaknesses with algebraic concepts, but also in strengthening skills and building confidence across the board. Work with your child to review their homework, quiz, and test grades to help determine where they are struggling, and focus on those areas first. You can also speak with your child’s educator to get a better sense of where their strengths and weaknesses lie.
If you desire more structured math practice, consider using Piqosity’s Algebra 1 course, which makes it easy to diagnose weaknesses and practice concepts.
If your child is struggling with math, one of the best things you can do is to identify their problem areas and spend a little extra time with them each day practicing these concepts. Do your best to apply concepts to real-world, daily issues and to keep math practice positive and fun. If you yourself struggle with math, make sure to read our article on overcoming math anxiety; it is all too easy to pass down your negative feelings towards math.
If you desire more structured math practice, consider using Piqosity’s 5th grade math course.
Students usually take Algebra 1 in 8th or 9th grade, which means that our course is generally ideal for students between 13 and 15 years of age. However, Piqosity’s courses can be used in a variety of ways. If you have a student in Pre-Algebra who is looking for a challenge, they could take our course for enrichment purposes. Meanwhile, an older student who is taking (or about to take) Geometry or Algebra 2 could use our Algebra 1 course for remediation, or to brush up on previously learned concepts.
Children entering the 5th grade are typically around 10 or 11 years old, and our course is ideal for students at that age. However, Piqosity’s courses can be used in a variety of ways. If you have a younger child looking for a challenge, an 8 or 9-year-old could take our course for enrichment purposes. Meanwhile, an older 11-year old or a 12-year-old who needs to review previously learned concepts could use our math course for remediation purposes.
You can learn more about how to effectively use our math courses for a variety of scenarios in our helpful user guide.
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