# Award-Winning Academic Tutoring & Test Prep

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# Academic Tutoring in Boulder, CO

Varsity Tutors is a live learning platform that connects students with personalized instruction to accelerate academic achievement. We help students achieve their full academic potential by connecting them with brilliant tutors who understand how to transfer the exact practical skills and knowledge necessary to achieve superior academic performance. Tutors teach the right material, not just more material. Tutoring is highly individualized and based upon the needs of each student, and focus is given to classroom material and the reinforcement of fundamental concepts.

These selected Boulder, CO tutors know what it's like to be in school and understand exactly what is needed in order to be successful. Through one-on-one tutoring, relationships are formed that greatly enhance students' enjoyment of the sessions and the benefit that they receive from them.

To schedule a session or to inquire about our services, please call us at (303) 502-9552.

## Recent Tutoring Session Reviews

We continued work on unit 5 today, which deals with multiplication algorithms. We worked mostly on multiplication in word problems, partial products, and lattice multiplication. The student did a great job, but still had trouble estimating without the resolution of finishing the problem. We will work on that in future sessions.

This evening the student and I worked on a "setting sketch" for her English class. I have noticed some improvements in her confidence. She is relying less on me and more on coming up with her own ideas. We also looked over some comments that her teacher left on her last paper for this class and discussed how we could improve it.

The student had a great session today. We worked on different strategies for multiplying two digit and one digit numbers together. We also talked about the definition of prime and composite numbers in order to use it for future lessons. He also worked on multiplying numbers using the power of 10 rule, and he was able to do that successfully with many different problems. We also practiced breaking apart numbers and using partial products and the area model to multiply larger numbers together. I left him with three different numbers, and asked him to write word problems in which the answer is the number that he was given. We will review the word problems and talk about solving them at our next session. He did a great job overall today.

We covered parabolas and hyperbolas in more detail and reviewed circles and ellipses and relationships between all 4 types of conic sections. The student seems to understand each equation, but may become confused when tested on all types at one time. So he needs further practice and review to build confidence in the understanding all conic sections and their relationships between each other.

We reviewed the student's vector homework on vector addition, components and coordinate systems. She has a good grasp of the material and I encouraged her to try additional challenge problems involving physics free body diagrams and components as well. I explained how converting from x,y or i,j vector components to direction and magnitude is very similar to converting from Cartesian to polar coordinates, with the added bonus of linear algebra tools like dot products.

Tonight we covered a specific scenario of objects in circular motion on a sloped plane. This scenario brings together multiple concepts in individual questions: friction, centripetal force/acceleration, weight, normal force, determining which way friction points depending on aspects of the scenario, and how to manipulate forces and angles to get the desired components you need for a problem.

The student did great knowing how to convert forces into the component that is parallel with the slope of the plane. Many students have difficulty with this because they don't know which trig functions to use, but she could do it without any help. The biggest problem is still combining individual equations to get one larger equation that represents the system as a whole. However, after going through the derivation process, she understood the logic behind it and was able to do it by herself.

Once again, we hit on the ability to look at a situation practically. For example, how to determine which trig function to use when calculating the normal force and which direction friction is pointing depending on the scenario.

I left her with a fair bit of homework to consider before our next session. The main piece is to go through some practice questions on the site and then come to the next session with any questions/concerns she has about the material. Also, I told her to consider some of the specific questions/concepts that have been covered in her class this year, and bring and questions/concerns she can think of to our next session. Lastly, if she doesn't bring any specific questions to the next session, I would like her to at least have some concepts that she would like to cover so that we can have an established direction of the session.

We covered a single scenario in a lot of detail today. She seemed much more comfortable with all of the individual concepts of the scenario and how to fit it together at the end of our session.

The student and I reviewed his latest test and discussed various strategies. He missed a few questions over simple mistakes. I spoke with him about using the entire test time to both complete and thoroughly check each answer. His conceptual understanding is excellent. Sometimes, he just rushes into things. He is doing great with an overall test average exceeding 90 percent.

We worked on questions dealing with linear equations and inequalities. The student was comfortable with writing in slope-intercept form, and for certain problems that give coordinates, I reminded her of the point-slope form. Then we worked on questions dealing with systems of equations: graphs, solving for two variables, and solving for three variables. I showed her a way to add two equations together so at least one variable can cancel to solve three-variable systems. She was able to continue answering the remainder of the questions without assistance!

We covered vocabulary - family members and a few professions for the student's quiz. We also went over the verbs 'ser' and 'estar.' I asked him to watch a short sitcom that will be emailed to his mother.

This session covered review of challenge words from previous sessions, syllabication of challenge words, completion of syllabication worksheet and a reading from one of student's book collections. The student was also given an animal comprehension passage on hummingbirds. She is well informed and found the material fun and interesting. She was left with the comprehension section of the passage just to look over as that will be completed in next session.

The student and I worked on his math facts today (4's, 10's, and 11's). He was making up songs to the multiplication tables and having a grand ol' time, which helps him remember things along the way. Great job!!

The student and I practiced synthetic division, finding zeroes, creating equations given zeroes, and solving for equations that have both real and imaginary zeroes. This material covered earlier topics also, like factoring, expanding polynomial functions, and using the quadratic formula.