The only SAT Math DESMOS Guide you'll ever need

Summary

This video provides a comprehensive guide on utilizing Desmos calculator for the SAT Math section. It emphasizes Desmos' efficiency in solving single variable equations, systems of equations, and inequalities, as well as analyzing quadratic functions and their vertices. The tutorial also highlights the importance of understanding mathematical concepts rather than relying solely on memorization. It concludes by advising when to use Desmos and when to stick to traditional problem-solving methods for optimal SAT Math performance.

Takeaways

• 😀 Desmos calculator is a powerful tool for the SAT, but many people are not aware of its full capabilities.
• 🔍 For single-variable equations, Desmos can quickly show where the equation equals zero without manual solving.
• 📊 Systems of equations can be easily solved using Desmos by finding the intersection points of the graphs.
• 🤔 Desmos can be used to determine when there are no real solutions for equations by analyzing the graph.
• 🟩 Systems of inequalities can be visualized on Desmos, which shades the regions that satisfy each inequality.
• 🍎 Desmos can be used to solve real-world problems like buying apples and bananas under certain constraints.
• 📚 Brilliant.org is recommended for learning concepts and problem-solving skills for the SAT.
• 📈 Desmos simplifies finding x and y intercepts and vertices of quadratics by graphing the function.
• 🔍 Desmos can be used to find the value of 'c' in a line equation that intersects a quadratic at exactly one point by analyzing the vertex of the parabola.
• 🚫 Desmos should not be used for linear systems with no solution, as it's more precise to use algebraic methods.
• 📉 Desmos can quickly calculate mean and median, but for high SAT scores, a deep understanding of these concepts is still necessary.

Q & A

What is the main topic of the video script?

The main topic of the video script is how to effectively use Desmos, an online graphing calculator, to solve various types of math problems that appear on the SAT.

Why is Desmos considered a 'godsend' for SAT test-takers according to the script?

Desmos is considered a 'godsend' because it is fast, accurate, and can simplify the process of solving complex math problems that are typically encountered on the SAT.

What are the limitations of the Desmos calculator when used on the SAT compared to its regular online version?

The limitations of the Desmos calculator on the SAT include the inability to upload images and the absence of sound functionalities.

How does the script suggest solving single variable equations using Desmos?

The script suggests solving single variable equations by copying and pasting the equation into Desmos and observing where the vertical line intersects the graph to find the solution.

What is the significance of understanding the concept of solutions in the context of both single variable equations and systems of equations?

Understanding the concept of solutions in both contexts is important for the SAT because it allows test-takers to recognize the relationship between the two and to identify the correct approach to solving problems, whether they involve finding a point of intersection or determining when there are no real solutions.

How can Desmos be used to solve systems of equations, according to the video script?

Desmos can be used to solve systems of equations by inputting each equation into the calculator, which then graphs the equations and shows the point(s) of intersection, representing the solution(s) to the system.

What is the key takeaway from the script regarding the use of Desmos for quadratic equations on the SAT?

The key takeaway is that Desmos can be used to easily find the x and y intercepts, the vertex, and to determine the number of solutions a quadratic equation has when intersecting with a line.

How does the script describe the process of solving systems of inequalities using Desmos?

The script describes the process as simply plugging the inequalities into Desmos, which then shades the regions that satisfy each inequality, allowing test-takers to visually identify the solution region.

What advice does the script give for students who are aiming for a high SAT Math score?

The script advises that, in addition to using Desmos for certain types of problems, students aiming for a high score should also have a strong understanding of concepts like mean and median, and be able to solve problems conceptually without relying solely on memorization.

What is the script's stance on using Desmos for problems involving equivalent expressions on the SAT?

The script's stance is that while it is technically possible to use Desmos for equivalent expressions problems, it is not optimal and students should instead focus on learning how to factor and do algebra to solve such problems efficiently.

What is the final recommendation in the script for students preparing for the SAT Math section?

The final recommendation is for students to practice and think through problems on their own to internalize the concepts, and to use Desmos selectively for certain types of problems as outlined in the script.