New SAT Math - Heart of Algebra

A comprehensive review of the first of 4 math topics on the new SAT!
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  • Lectures 16
  • Length 3.5 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 7/2015 English

Course Description

This course is specifically designed for high school students who will take the new SAT in March 2016 or later. By that time, the SAT math (and verbal) sections will contain significant changes, so it is paramount that students make sure they are prepared. This course covers the first of the four math "domains" on the new SAT - "heart of algebra".

Students will first review background concepts necessary to answer one of the 9 "heart of algebra" concepts tested on the new SAT. They will then be presented with ALL currently available official SAT math questions that pertain to that particular concept, giving them the opportunity to practice their math skills on actual SAT math questions.

Included in this course are ALL 4 official practice tests for the new SAT, so students do not need to purchase supplementary materials such as The Official SAT Study Guide (2016 edition). This is a 2-week course that includes more than 2.5 hours of video instruction and homework assignments after each lesson that help students sharpen their skills.

You should take this course if you are looking to achieve your highest possible math score on "heart of algebra" questions on the redesigned SAT.

What are the requirements?

  • Download the 3 practice SATs provided in Lesson 1.

What am I going to get from this course?

  • Maximize their score on the new SAT "Heart of Algebra" questions
  • Increase their confidence while taking the new SAT

What is the target audience?

  • This new SAT course is for students taking the SAT in March 2016 or later who want to become familiar with the new SAT and who want to increase their score on heart of algebra questions.
  • This course is probably not for students taking the SAT before March 2016.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Section 1: Introduction to the New SAT Math - Heart of Algebra!

Welcome to the New SAT Math course - heart of algebra! I am very excited that you have chosen to prepare for the new SAT by using these videos. Beginning in March 2016, the SAT is changing - which means you will be one of the first students to experience the new test. But don't panic - I am here to help you get ready!

First, let's briefly talk about the format of the new SAT math:

- Most questions will be multiple choice, but some will be student-produced responses (grid-ins)

- The math test is divided into two portions: Math Test – Calculator and Math Test – No Calculator

- The questions are divided into four "domains" - heart of algebra, problem solving and data analysis, passport to advanced math, and additional topics (which include geometry and trigonometry)

This course is dedicated to helping you prepare for questions from the first domain - the "heart of algebra" (don't worry - I teach additional courses for the other three domains)!

So how does this course work? In most cases, lectures work in pairs. So, one lecture in the pair reviews the fundamental concepts, while the next lecture presents real SAT questions related to those concepts. Make sure you pause the video before each question presented in the video and attempt the question before moving on!

The SAT questions come from 3 practice tests that you should download before beginning the first lecture (located in the "downloadable resources", along with the answer keys). Every lecture has a set of practice questions (and answers), which you should complete immediately after watching the lecture. You should also keep a notebook in which you should write important equations, definitions, and concepts! I recommend completing 1-2 lectures per day so that you can finish this course in about two weeks.

After competing all the lectures, you should download the fourth practice test and complete the questions listed in the concluding lecture. This will give you the opportunity to independently practice the skills you learned in the course on real SAT questions!

Now . . . let's begin!

Section 2: Heart of Algebra

In this lecture, we will discuss:

  • Solving equations by collecting like terms
  • Solving equations by removing parentheses and collecting like terms
  • Solving equations with fractional coefficients
Let's get started!

By the end of this lecture you will have reviewed the following questions from the first 3 SAT practice tests:

  • Practice Test 1 - p.35 #1
  • Practice Test 2 - p.41 #3 and p.51 #32
  • Practice Test 3 - p.33 #2 and p.38 #17

In this lesson, you will review:

  • How to solve linear inequalities in one variable
  • How to create a linear inequality in the context of word problems

In this lesson, you will review how to create, solve, or interpret linear inequalities in one variable on the SAT by reviewing the following questions from the practice tests:

  • Practice test 1 - p.46 #11, p.55 #32
  • Practice test 2 - p.44 #12

In this lesson, you will review how to:

  • Translate verbal statements into algebraic expressions
  • Create linear equations in one variable based on a word problem

In this lesson, you will create, solve, or interpret a linear expression or equation in one variable that represents a context on the SAT! We will review:

  • Practice Test 1 - p.43 #4
  • Practice Test 2 - p.42 #6, p.43 #8
  • Practice Test 3 - p.33 #4, p.45 #14

In this lesson, you will:

  • Make connections between a word problem and the linear equation that models the word problem
  • Identify or describe the real-life meaning of a constant term, a variable, or a feature of the given equation
  • Answer the following questions from the SAT practice tests:
    • Practice Test 1 - p.35 #4, p.36 #6
    • Practice Test 2 - p.33 #3, p.52 #35
    • Practice Test 3 - p.36 #15, p.43 #8, p.47 #17

In this lesson, you will review how to:

  • The elimination method for solving systems of two linear equations
  • The substitution method for solving systems of two linear equations
  • The difference between one solution, infinite solutions, and no solution

In this lesson, you will review:

  • Practice Test 1 - p.37 #9, p.40 #18
  • Practice Test 2 - p.33 #2, p.39 #20
  • Practice Test 3 - p.35 #9

In this lesson, you will review how to create systems of 2 linear equations in two variables on the SAT. You will review the following questions from the practice tests:

  • PT1: p.49 #19
  • PT2: p.51 #34
  • PT3: p.39 #19, p.49 #24

In this lesson, you will review how to:

  • Graph a system of linear inequalities
  • Translate word problems into systems of linear inequalities

In this lesson, we will review how to create, solve, and interpret systems of linear inequalities in two variables on the following questions:

  • Practice Test 1 - p.49 #18, p.53 #28
  • Practice Test 2 - p.43 #9
  • Practice Test 3 - p.53 #31, p.54 #36

In this lesson, you will review:

  • Slope - how to calculate it and how to interpret it on a graph
  • How to determine the equation of a line
  • The relationship between parallel lines; the relationship between perpendicular lines
  • The relationship between intersecting lines
  • x and y intercepts

In this lesson, you will master the following SAT questions that relate to connections between graphs and algebra:

  • Practice Test 1 - p.37 #12; p.48 #16
  • Practice Test 2 - p.34 #6; p.35 #9; p.48 #25; p.49 #28
  • Practice Test 3 - p.34 #8; p.50 #26
Section 3: Congratulations - you made it!

In this final lecture, you will learn what to do next!

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Instructor Biography

Greg Gaulocher, Master Teacher at Udemy

As the proprietor of a local tutoring agency, I have been committed to helping students improve their grades and study skills for the past 12 years. I began tutoring as a graduate student studying biomedical research, and when I awakened my talent and passion for tutoring I decided to pursue it as a full time career. I am now hoping to reach a wider audience by bringing my teaching expertiese and experience online!

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