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Information about Revised math 1

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What is being tested on SAT Math? Total Math Content No. of Question s Section 1 Math 1 (25 minutes) 20 mcq’s Section 2 Math 2 (25 minutes) 8 mcq’s 10 grid-in Section 3 Math 3 (20 minutes) 16 mcq’s Total 44 mcq’s 10 grid-in Numbers and operations Algebra and functions Geometry and measurement 11-13 19-21 14-16 6-7

What is being tested on GRE Math? Total Math Content Same as SAT Approximate No. of Questions Section 1 Math 1 (35 minutes) 20 multiple choice and plug in questions Quantitative comparison Problem solving Data Interpretation 10 7 3 Section 2 Math 2 (35 minutes) 20 multiple choice and plug in questions Quantitative comparison Problem solving Data Interpretation 10 7 3 Total 40 questions

Math class, topic wise schedule: Math topics: Handouts: Duration: 1) Algebra: i. 1 variable ii. 2+ variables iii. Unknown variables iv. Function v. Quadratics vi. Factorization 1) Math Notes from SAT bible. 2) ETS Algebra Set Week 1 and 2 2) Arithmetic: i. Properties of Numbers ii. Computation iii. Percents iv. Ratios/Proportions v. Mean/Median/Mode vi. Exponents & Roots 3) ETS Arithmetic Set Week 3

Math class, topic wise schedule: 3) Geometry: Circles Lines and Angles Triangle Area/Perim/Pythag Third Side Rule/ Angle Side Rule Similar Triangles Rectangle Area/Perim Graphing Functions/Equations Coordinate Geometry Polygons Solids 4) ETS Geometry Set Weeks 4 & 5 4) Misc. Problems: Charts Stats/Probability Patterns/Sequences Counting Logic Visual/Spatial Groups 5) ETS Misc. Set Week 6 5) Advanced Math Questions Handouts: TBD Weeks 7 & 8

Math Notes: Handout 1 for home Discussion next week if needed

Strategies 1a) Picking Numbers Step 1. Pick Simple Numbers and substitute for variables. Step 2. Try Them Out Try out all the answer choices using the numbers you picked, eliminating those that gave you a different result. Step 3. Try Different Values If more than one answer choice works, use different values and start again 1b) Recognition by prolonged and multiple use of Picking Numbers

1a) Picking Numbers

1b) Recognition Use different and easy Number Picks to eliminate any possible integer answers.

2) Back-solving Step 1: Estimate the answer. Step 2: Plug in an answer. Step 3: Keep plugging in till you find one that works. Step 4: Try out all answers. Q. If x is an integer and 2 is the remainder when 3x + 4 is divided by 5, then x could equal (A) 3 (B) 4 (C) 5 (D) 6 (E) 7

3) Elimination

Algebra: 1 variable What is a modulus or absolute value? Modulus and square root

Algebra: 1 variable • Square root of a number

Algebra: 1 variable Create an equation.

Algebra: 1 variable Picking numbers: Try all 4 types of real numbers, positive integers, negative integers, positive fractions and negative fractions.

Algebra 1 variable: Practice From the relevant topic in ETS set, do as many questions as you can in ten minutes.

Algebra: 2+ variables For simultaneous equations, learn to recognize what will be faster, substitution or elimination.

Algebra: 2+ variables Make sure to solve for ½ of j.

Which strategy would work best here? Algebra: 2 variables

Algebra: 2+ variables

Algebra: 2+ variables

Algebra: 2+ variables

Algebra 2+ variables: Practice From the relevant topic in ETS set, do as many questions as you can in ten minutes.

Algebra: Unknown variables

Algebra: Unknown variables

Algebra: Unknown variables

Algebra Unknown variables: Practice From the relevant topic in ETS set, do as many questions as you can in ten minutes.

That’s it for today! Complete as homework the remainder of the questions in the ETS Algebra Practice Set from topics of: 1 variable 2+ variables Unknown variable

Example 3: If x, y and z are positive integers such that x< y < z and x + y + z = 6, then what is the value of z? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Practice Problem Set A Review Problem Set B Review

2) Defined Function Example 1: If x* y represents the number of integers between x and y then (-2*8) + (2*-8) = (A) 0 (B) 9 (C) 10 (D) 18 (E) 20

Example 2: For any positive integer n, n! denotes the product of all the integers from 1 through n. what is the value of 3!(7 -2)! ? (A) 2! (B) 3! (C) 5! (D) 6! (E) 10!

Example 3: A function @ is defined on positive integers as @(a) = @(a-1) +1. if the value of @(1) is 1, then @(3) equals which one of the following? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4

Practice Problem Set A Review Problem Set B Review

3)Number Theory Example 1: The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000? (A) 5 (B) 7 (C) 43 (D) 57 (E) 570

Example 2: If n is a positive integer and (n + 1)(n + 3) is odd, then (n + 2)(n + 4) must be a multiple of which one of the following? (A) 3 (B) 5 (C) 6 (D) 8 (E) 16

Example 3: The number of prime numbers divisible by 2 plus the number of prime numbers divisible by 3 is (A) 0 (B) 1 (C) 2 (D) 3 (E) 4

Example 4: If 15x + 16 = 0, then 15 x equals which one of the following? (A) 15 (B) –16x (C) 15x (D) 16 (E) 16x

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