# Revised math 1

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Education

Published on March 14, 2014

Author: haidershishmahal

Source: slideshare.net

## Description

Tis what it is!

Class 1 Comprehensive Review

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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