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Pre-Calculus & Trigonometry B

4.8 (13 ratings)
Taken by 40 students

This course builds a deep understanding of trigonometry, so students can handle the rigor in AP Calculus. This course pushes students to coalesce their understanding of basic geometric functions and algebra; This is where the basics transform into advanced mathematical skill.

Private 1:1
Age 15-18
50 minutes
Per class
Pre-Calculus & Trigonometry B

About this Course

This Juni Math Course is common core aligned and is perfect for learners looking to catch up or get ahead. Each lesson is designed around exciting projects and discovery-based learning, giving students a fun and practical way to hone their math skills.

Billed as

$275 / month

4 classes / month × $68.75 / class
  • Cancel anytime

1:1 classes are 50 minutes long and can be scheduled anytime Monday-Sunday from 7am to 7pm PT. To begin, select Book your Placement Class to signup. Our team will then match you and set up your first class!

  • Course duration
    4-6 months
  • Lesson
    50 minutes
  1. Trig-1: The student can find sine,cosine, and tangent of a given angle in a right triangle.

  2. Trig-2: The student can convert between radians and degrees.

  3. Trig-3: The student can convert between angles and coordinates on the unit circle.

  4. Trig-4: The student can interpret reciprocal functions.

  5. Trig-5: The student can apply the Pythagorean theorem.

  6. Trig-6: The student can apply negative angle identities.

  7. Trig-7: The student can graph sine, cosine, and tangent.

  8. Trig-8: The student can apply/interpret transformations to basic trigonometric functions.

  9. Trig-9: The student can interpret period, amplitude, and midline of a trigonometric function.

  10. Trig-10: The student can apply angle identities to prove equations.

  11. Trig-11: The student can apply the Law of Sines and the Law of Cosines to solve for missing values in a non-right triangle.

  12. Trig-12: The student can apply Heron’s formula to solve for the area of a triangle.

  13. Trig-13: The student can graph the various trigonometric functions and apply/interpret transformations.

  14. Trig-14: The student can solve trigonometric equations.

  1. PCPE-1: The student can convert between polar and Cartesian coordinates.

  2. PCPE-2: The student can graph polar coordinates.

  3. PCPE-3: The student can graph/interpret complex numbers.

  4. PCPE-4: The student can convert complex numbers to polar form.

  5. PCPE-5: The student can graph parametric equations.

  1. Vectors-1: The student can explain what a vector represents.

  2. Vectors-2: The student can determine the magnitude/direction of a vector.

  3. Vectors-3: The student can scale a vector.

  4. Vectors-4: The student can add and subtract vectors.

  5. Vectors-5: The student can calculate the dot product of two vectors.

  1. MO-1: The student can add matrices.

  2. MO-2: The student can subtract matrices.

  3. MO-3: The student can multiply matrices.

  4. MO-4: The student can find the determinant of a 2x2 matrix.

  5. MO-5: The student can invert a 2x2 matrix.

  6. MO-6: The student can divide two 2x2 matrices.

  1. LSPFD-1: The student can represent a linear system of equations using matrices.

  2. LSPFD-2: The student can apply Cramer’s rule to solve a matrix equation.

  3. LSPFD-3: The student can find a matrix inverse to solve a matrix equation.

  4. LSPFD-4: The student can apply Gaussian elimination to solve a matrix equation.

  5. LSPFD-5: The student can perform partial fraction decomposition.

  1. Probability-1: The student can identify the sample space of outcomes for a given event.

  2. Probability-2: The student can determine whether a particular event is independent or dependent.

  3. Probability-3: The student can apply rules for independent events.

  4. Probability-4: The student can solve problems that involve conditional probability.

  5. Probability-5: The student can differentiate between permutations and combinations.

  6. Probability-6: The student can calculate the number of permutations for a particular event.

  7. Probability-7: The student can calculate the number of combinations for a specific event.

  1. Calc-1: The student can explain what a limit represents.

  2. Calc-2: The student can calculate the limit of a function at a particular point.

  3. Calc-3: The student can differentiate between continuous and discontinuous functions.

  4. Calc-4: The student can identify discontinuities in a function.

  5. Calc-5: The student can calculate the average rate of change of a function over an interval.

  6. Calc-6: The student can calculate the instantaneous rate of a change of a function using the limit definition of derivative.

  7. Calc-7: The student can determine the equation of the line tangent to a function at a given point.

  1. I can explain what the question is asking for.

  2. I can explain my thinking behind my work.

  3. I check my work carefully during or after I finish a question.

  4. When I am stuck on a question, I show perseverance by trying a new method or asking for help.

  5. When I am stuck on a question, I use what I know to find a place to start.

  1. Joyful Collaboration

    1. I practice listening to my instructor and sharing my ideas to co-create understanding.
    2. I attempt tasks independently and ask my instructor questions when I need help.
  2. Unlimited Curiosity

    1. I take ownership of my learning by asking meaningful questions both when I need clarification and when I want to know more about a topic.
  3. Nimble Determination

    1. I practice resilience when I am frustrated that I have not yet achieved mastery of a new concept or skill; instead of complaining about challenges, I try new approaches and creative solutions.
  4. Invest in Excellence

    1. I arrive to class on time and prepared to learn, with my computer set up with a strong internet connection.
    2. I complete my homework on time, and if I cannot complete my homework due to other obligations, I honestly communicate the reasons for late homework to my instructor.
    3. I do my best to stay present and on task for the whole session. I support my focus by putting away any distracting technology and setting notifications on my device to “do not disturb” mode.

Instructors will assign students roughly 60 minutes of class related problems at the end of each session. Homework is generally pulled from Juni's curriculum and is meant to complement the class experience and ensure the student continues to learn and grow outside of the session

Completion of Pre-Calculus A

Who are Juni’s Instructors?

Our instructors are subject matter experts from top US universities. Instructors are highly-vetted and background checked prior to joining and undergo extensive training before ever teaching on our platform.

Upon signing up, parents are asked a series of questions that allow us to match your child with an optimal instructor based on their unique needs and interests. Factors that are considered in our matching process include Learning Style, Personality, Personal Experience, and Academic & Career Aspiration.

Headshot for Puja D
Puja D
I really like bringing a strong energy to my classes, and sharing excitement with my students about learning new topics.

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Real Reviews from Real Parents

4.9 out of 5



My 3 sons ages, 10 1/2, 9 and 7 started using Juni in early June 2020 and absolutely love it. The instructors are college age kids and they relate to my boys very well. My oldest is doing both the coding and math tracks and I feel like he will be way ahead of his 5th grade class come the fall. Once the other two are old enough I will certainly be enrolling them in math as well.

Tarun Mehta

Juni has been amazing for my daughter. She is a reluctant learner when it comes to Computer Languages, but the Juni instructors have been engaging to her at a level where she feels comfortable with them and they manner in which they present the curriculum. They understood my ask that I Wanted her to start liking computer languages, and they are presenting the information in a way that is fun and relatable. I am very happy with my Juni experience and my daughter's journey with Juni so far!


I have two boys taking classes and the Juni takes the time to match the right instructor for my children. They are patient and very consistent in their teaching. The boys are thoroughly enjoying their class and love accomplishing and learning new things!

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