# Digital SAT Prep: Easy Desmos Hack for the Hardest Math Problems!

TLDRIn this video, Laura Whitmore from STP addresses the increased difficulty of math problems on the digital SAT, particularly in module 2. She introduces a Desmos calculator hack to simplify solving complex problems, saving time and increasing the chance of correct answers. Laura demonstrates the strategy on four challenging problems from Blue Book test 4, showing how to use Desmos to find solutions graphically, which she claims is more efficient than algebraic methods. The video is aimed at helping students achieve a perfect score on the math section of the SAT.

### Takeaways

- π’ The difficulty of math problems on the digital SAT has increased, particularly in the last 10 problems of module 2.
- β° Using Desmos calculator can significantly reduce the time required to solve complex math problems, allowing for more time to review other answers.
- π Desmos is particularly useful for solving systems of equations, where the intersection point of two graphs is needed.
- π― For problems asking for a specific condition like 'one distinct real solution', adjusting the Desmos slider can help find the exact value needed.
- π When dealing with quadratic functions, adjusting the 'a' value in Desmos can help visualize the vertex touching a line, which is key for certain problems.
- π For problems involving the product of solutions, using Desmos to graph and find the x-intercepts can simplify the process of finding the constant 'K'.
- π Desmos can also be used to find the radius of a circle by measuring the diameter from the graph.
- π€ Logical reasoning combined with Desmos can help determine the correct answer for problems involving the properties of parabolas.
- π©βπ« The video offers a tutorial on how to use Desmos effectively for SAT prep, suggesting it as a superior method over complex algebraic solutions.
- π The presenter suggests using Desmos for a variety of SAT math problems, indicating it can simplify the process and potentially lead to a perfect score.

### Q & A

### What is the main challenge students face with the digital SAT math problems according to Laura Whitmore?

-Students find the last 10 or so problems in module 2 of the digital SAT to be significantly difficult, taking them a long time to solve or not being able to solve them at all.

### What is the proposed solution in the video to make solving digital SAT math problems easier?

-The video suggests using the Desmos calculator to solve the problems graphically, which is claimed to be easier and faster than the traditional algebraic methods.

### How does the Desmos calculator help with systems of equations on the SAT?

-Desmos helps by allowing students to input equations and adjust variables using sliders to find the exact point where the graphs of the equations intersect, which is particularly useful for systems with one distinct real solution.

### What is the strategy for solving problems with a quadratic and a line that intersect at exactly one point?

-The strategy is to adjust the y-intercept 'a' of the quadratic equation using a slider in Desmos until the vertex of the parabola touches the line, indicating the exact point of intersection.

### How does the video demonstrate solving a problem involving the product of the solutions to a given equation?

-By using Desmos to graph the quadratic equation and adjusting the constants 'A' and 'B' with sliders, the video shows how to find the product of the x-intercepts, which corresponds to the product of the solutions.

### What is the advantage of using Desmos over the complex algebraic methods suggested by the College Board for certain problems?

-Desmos provides a visual and interactive approach that is easier to understand and less prone to errors, making it a more efficient way to solve certain types of math problems compared to the complex algebraic methods.

### How does the video address the issue of finding the radius of a circle given its equation?

-The video demonstrates using Desmos to graph the circle and then finding the endpoints of the diameter to calculate the radius by dividing the diameter's length by two.

### What logical reasoning is used in the video to determine the correct answer for a problem involving a parabola with a given vertex?

-The video uses logical reasoning to deduce that for the parabola to intersect the x-axis at two points, 'a' must be positive, 'B' must be negative, and 'C' is mostly positive, leading to the selection of the correct answer choice.

### How does the video encourage viewers to engage with the content and the channel?

-The video encourages viewers to engage by asking them to hit the Thumbs Up Button if they find the content helpful, subscribe to the channel for future content, and contact for one-on-one tutoring.

### What is the humorous element mentioned in the video regarding the College Board's answer explanations?

-The video humorously critiques the complexity of the College Board's answer explanations, suggesting they are overly complicated and not as straightforward as the Desmos method demonstrated.

### Outlines

### π Solving Complex SAT Math Problems with Desmos

Laura Whitmore introduces a strategy to simplify solving difficult math problems on the digital SAT, particularly the last 10 in module 2. She emphasizes the effectiveness of using the Desmos calculator to solve problems graphically, which is more efficient and easier to understand than the complex algebraic methods provided by the College Board. Laura demonstrates how to use Desmos to find the value of 'a' in a system of equations that has exactly one distinct real solution by adjusting the slider for 'a' until the quadratic's vertex touches a line. She also shows how to modify the range and step size of the slider for more precise adjustments. The video promises to cover four difficult problems from the Blue Book test 4, aiming to help students save time and potentially achieve a perfect score.

### π Using Desmos for Quadratic and Circle Equations

Laura continues her tutorial by addressing a problem involving the product of solutions to a quadratic equation, where the product is a constant multiple of the constants A and B. She uses Desmos to graph the equation and adjust sliders for A and B, ensuring they are positive as per the problem's conditions. By setting A and B to 1 for simplicity, she identifies the solutions and calculates the constant K by dividing the product of the solutions by the product of A and B. Laura then moves on to a problem involving a circle equation, where she advises against assuming the circle's center is at the origin. Instead, she uses Desmos to find the endpoints of the circle's diameter and calculates the radius by dividing the diameter's length by two. She concludes the section by promoting an app for additional math practice for the SAT.

### π§ Logical Reasoning and Desmos for Parabola Problems

In the final part of the video, Laura tackles a problem involving a parabola with a given vertex and x-axis intersections. She uses Desmos to graph the parabola in vertex form, introducing a slider for 'a' to determine the parabola's direction and width. By logical reasoning and adjusting the slider, she deduces that 'a' must be positive for the parabola to intersect the x-axis twice and identifies the correct values for 'a', 'b', and 'c' in the equation. Laura contrasts this approach with the lengthy and complex explanations provided by the College Board, advocating for the use of Desmos and logical reasoning as a more straightforward method. She ends the video by offering tutoring services for deeper math understanding and invites viewers to contact her for one-on-one sessions.

### Mindmap

### Keywords

### π‘Digital SAT

### π‘Desmos Calculator

### π‘Systems of Equations

### π‘Quadratic Functions

### π‘Slider

### π‘Vertex Form

### π‘Real Solutions

### π‘Product of Solutions

### π‘Circle Equation

### π‘Logical Reasoning

### Highlights

Digital SAT math problems have increased in difficulty, particularly in the last 10 problems of module 2.

Desmos calculator can simplify solving complex math problems on the digital SAT.

Using Desmos can save time and increase the chance of solving problems correctly.

Desmos is particularly useful for solving systems of equations with a single real solution.

Adjusting the 'a' value in Desmos can help find the exact point where a parabola touches a line.

Desmos allows for easy graphical solutions compared to complex algebraic methods.

For quadratic equations, Desmos can be used to find the product of the solutions by adjusting constants.

Setting constants A and B to positive values in Desmos is crucial for accurate problem-solving.

Desmos can visually represent the product of solutions by graphing a parabola and finding its x-intercepts.

Circle equations can be solved for radius using Desmos by finding the diameter and dividing by two.

Desmos is effective for finding the vertex form of a parabola and determining its direction based on intersections.

Logical reasoning combined with Desmos can simplify the process of selecting the correct answer from multiple choices.

Desmos can help determine the correct value of 'a' in a parabola equation by adjusting it until it intersects the x-axis at two points.

The video provides a step-by-step guide on how to use Desmos for various SAT math problems.

Desmos can be a game-changer for students struggling with the complexity of SAT math problems.

The video offers a humorous approach to a serious academic challenge, making learning more enjoyable.

STP offers tutoring services for deeper math review and one-on-one problem-solving assistance.

The video concludes with a call to action for students to subscribe for more SAT prep content.

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