S: Best ACT scrapbook you will ever see
BC: By: Victoria Favorite
FC: My | M | My ACT Scrapbook Victoria Favorite 1st period September 24, 2012
1: "Families are like fudge mostly sweet with a few nuts." ~Author Unknown | Table of Contents | 2-3: ACT skills- Use The Answers 4-5: Super Easy Algebra 6-7:Algebraic Manipulation 8-9: Mean 10-11: Angles 12-13: Parallel lines 14-15: Triangles 16-17: Foil 18-19: Vocab 20-21: More Vocab 22-23: Multiples vocab 24-25: Graphing vocab 26-27: Slaloming Slope 28-29: Slaloming Slope II 30-31: Using charts and graphs
2: ACT Skills: Using the Answers | Often times we are told that there are no shortcuts when it comes to taking the ACT. But when it comes to certain problems, it is in your best interest to use the answer choices to your advantage. For example, In an equation where you are trying to find a missing variable it would be a lot quicker to plug in each of the answer choices into the equation to see which one works best. Rather than working the problem out for 2 minutes
3: When you see variables or unknowns in the question and numbers in the answer choices, "Use the Answers." Convert fractions, pi, or square roots to decimals
4: Super Easy Algebra
5: when in an equation you see "then x= ?" then complete the algebra or use the "using the answers" technique
6: Algebraic manipulation
7: Saying "What is y in terms of x and z" is just a fancy way of saying solve for y or get y by itself. Such as y= so you use algebra in order to get y alone.
8: Mean means average | Average= sum ------- # of items
9: When you see "find the mean" or "average" of a set of data use the equation average= sum/number of items
10: Angles | -The angles in a triangle add up to 180 degrees -The angles in a 4-sided shape add up to 360 degrees -The angles in a 5 sided shape add up to 540 degrees -The angles in a 6-sided shape add up to 720 degrees
11: When you see vertical angles, a linear pair, or a triangle, calculate the measure of all angles
12: Parallel Lines | WHen you see two parallel lines that are crossed by another line, eight angles are forms, and all the bigger-looking angles are equal, and all the smaller-looking angles are equal
13: - Parallel lines are two lines that never touch - If two parallel lines are crossed by another line (called a transversal), then eight angles form. - These eight angles are two types, big or little. All bigs are equal and all littles are equal
14: Triangles | - Isosceles triangles (having two equal sides)have to angles on opposite sides that are also equal - An equilateral triangle or a triangle that has all equal sides all have angles that are 60 degrees
15: Skill: since two sides are equal in the triangle the who angles opposite the two sides are also equal. So b=c. any other answer saying otherwise would be wrong. | When you see a triangle with two equal sides, mark the two opposite angles as equal, and when all sides of a triangle are equal, mark all angles 60 degrees
16: FOIL | When you see an expression like (2x-5)(5x-4), multiply the first number and l into the second parenthesis, multiply the second number and letter into the second parenthesis, the combine like terms
17: We know that FOIL also stands for- First, outer, inner, last- in reality you just multiply.
18: Real number- Any number such as -3, 2.2, 0, etc. Constant term- A letter in place of a number, like a variable except it wont vary integer- numbers without decimals or fractions Even/Odd- even numbers: 2,4,6,8... odd numbers: 1,3,5,7,9.... Positive/ Negative- positive numbers are greater than zero.. odd numbers are less than zero Consecutive numbers- numbers in a row: 7,8,9,10
19: Vocabulary | Different numbers- numbers that are different Prime- a number whose only factors are 1 and itself Units digit- a fancy term for the "ones" digit in a number, like the 2 in 672 | Any time you see math vocab, underline it
20: Factors- numbers that divide into a number evenly (without a remainder) Greatest common factor- the largest factor shared by several given numbers Prime factors- the factors of a number that are also prime numbers | Don't be intimidated by fancy vocab.
21: More Math Vocab
22: Multiples Vocab | Multiples- all the numbers that are divisible by a certain number Least common multiple- the lowest number that is a multiple of several numbers. The trick to finding the least common multiple is to list the multiples of the largest number then choose the lowest one that is also a multiple of the other given numbers.
23: You can also just "use the answers" | To find the "least common multiple" or "lowest common denominator" just "Use the Answers"
24: Fancy Graphing Vocab
25: Standard (x,y) coordinate plane- A fancy term for the normal grid that you graph lines on Cartesian plane- another fancy term for the normal grid that you graph lines on Ordered pair- a fancy term for the normal grid that you graph lines on x intercept/ y intercept- the value where a graph crosses the x or y axis- | Don't get intimidated by fancy graphing vocab
26: To find the slope of two order use slope formula: y1-y2 ------------- x1-x2
27: SLOPE | - The slope of a line measures its steepness- the steeper the line, the bigger the slope - slope is also called rate or rate of change - a line has a positive slope if it rises from left to right -a line has a negative slope if it falls from left to right - a horizontal line has a slope of 0.
28: -Parallel lines have equal slopes -Perpendicular lines have negative reciprocal slopes | An equation of a line in the form y=mx+b is called the slope intercept form, where m represents the slope of the line
29: Rules of Slope
31: The key to charts and graphs is to read the intro material and the "note" if there is one, and to expect an average, percent, and/or probability question about the data | Using Charts and Graphs