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Sentence Check Sentence Check Capital Letter Capital Letter Do I have a capital letter at the beginning? Do I have a capital letter at the beginning? Subject Subject Do I have a subject? Do I have a subject? Verb Verb Do I have an action verb or linking verb? Do I have an action verb or linking verb? End Mark End Mark Do I have an end mark? Do I have an end mark? Check Check Does it make sense? Does it make sense? You have earned 5 minutes of reward time. GOAL REACHED! 8 7 6 5 4 3 2 1 You need teacher permission to use the computer. You need teacher permission to use the computer. Teachers only open these drawers Teachers only open these drawers Teachers only open these drawers Teachers only open these drawers The Write Stuff I want to write on my own I want to type on the Alpha Smart I want to speak into a tape recorder to get my ideas out. I would like someone else to write for me. I can use this option 3 times during this period, for 5 minutes each time. 1 2 3 The Write Stuff 1 I want to write on my own 1/2 2 I want to type on the Alpha Smart 1/2 I want to speak into a tape recorder to get my ideas out. 1/2 I would like someone else to write for me. I can use this option 4 times during this period, for 5 minutes each time. 1 2 3 4 PRE-WRITING STEPS FOR PROMPTS Read it Underline Key Words Pre-write Re-Read PIRATES TEST TAKING CHECKLIST Prepare- Name on paper Inspect- Read the instructions carefully and underline what to do and where to respond Read, remember, reduce Read the whole question write down what I remember in the margins reduce the answers by eliminating obviously wrong answers Answer or abandon Answer those questions of which I am certain Abandon those I am not sure of until later Turn back- when I have answered the questions I know, then I may go back and answer the questions I abandoned earlier. Estimate- make an educated guess if I cannot come up with an answer. Survey- read back over the test and check my answers. SHOW WORK ON PAPER SHOW WORK ON PAPER SHOW WORK ON PAPER SHOW WORK ON PAPER SHOW WORK ON PAPER SHOW WORK ON PAPER “WORK TIME” = “WORK ON MATH HOMEWORK” “WORK TIME” = “WORK ON MATH HOMEWORK” “WORK TIME” = “WORK ON MATH HOMEWORK” “WORK TIME” = “WORK ON MATH HOMEWORK” “WORK TIME” = “WORK ON MATH HOMEWORK” “WORK TIME” = “WORK ON MATH HOMEWORK” Odd Numbers Even Numbers End with: 1, 3, 5, 7, 9 End with: 0, 2, 4, 6, 8 Examples: 23 451 4,421 Examples: 34 450 3,258 Odd Numbers Even Numbers End with: 1, 3, 5, 7, 9 End with: 0, 2, 4, 6, 8 Examples: 23 451 4,421 Examples: 34 450 3,258 Odd Numbers Even Numbers End with: 1, 3, 5, 7, 9 End with: 0, 2, 4, 6, 8 Examples: 23 451 4,421 Examples: 34 450 3,258 1 11 21 31 41 51 61 71 81 91 2 12 22 32 42 52 62 72 82 92 3 13 23 33 43 53 63 73 83 93 4 14 24 34 44 54 64 74 84 94 5 15 25 35 45 55 65 75 85 95 6 16 26 36 46 56 66 76 86 96 7 17 27 37 47 57 67 77 87 97 8 18 28 38 48 58 68 78 88 98 9 10 19 20 29 30 39 40 49 50 59 60 69 70 79 80 89 90 99 100 Prime: A whole number that is greater than 1 whose only factors are 1 and itself. Composite: is a whole number greater than 1 that has factors other than 1 and itself. *1 is neither prime nor composite Finding the Greatest Common Factor (GCF) The Greatest Common factor is the largest of the common factors that a number shares. Finding the Factors Method Example: Find the GCF of 50 and 120 Step 1: List all of the factors for both numbers 50: 120: 1, 2, 5, 10, 25,50 1, 2, 3, 4,5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 Step 2: Circle the number that each one has in common (same). 50: 120: 1, 2, 5, 10, 25,50 1, 2, 3, 4,5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 Step 3: Find the biggest number that both number shares. This is your GCF. GCF: 10 Finding the Greatest Common Factor (GCF) The Greatest Common factor is the largest of the common factors that a number shares. The “Cake” Method (Ladder) Step 2: Step 1: Example: Find the GCF of 50 and 120 Find a number that you can divide into all numbers in the cake 5 50 120 Do the division for each number and write the answer below the cake layer. 5 50 10 120 24 5 2 50 10 5 120 24 12 A.) If there are more than one number B.) If there are no numbers to the left of to the left of the cake, multiply those numbers to find the GCF. the cake, you have your GCF 5 2 Step 4: Step 3: Find another number that can be divided into both. If you find one, repeat step 2. If there is not another one, go to step 4. 5x2=10 GCF= 10 50 10 5 120 24 12 10 GCF =10 50 5 120 12 Multiplication Chart 1 2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 4 5 6 7 8 9 10 11 12 2 2 4 6 8 10 12 14 16 18 20 22 24 3 3 6 9 12 15 18 21 24 27 30 33 36 4 4 8 12 16 20 24 28 32 36 40 44 48 5 5 10 15 20 25 30 35 40 45 50 55 60 6 6 12 18 24 30 36 42 48 54 60 66 72 7 7 14 21 28 35 42 49 56 63 70 77 84 8 8 16 24 32 40 48 56 64 72 80 88 96 9 9 18 27 36 45 54 63 72 81 90 99 108 10 10 20 30 40 50 60 70 80 90 100 110 120 11 11 22 33 44 55 66 77 88 99 110 121 132 12 12 24 36 48 60 72 84 96 108 120 132 144 Divisibility Rules for 2, 3, 5, 6, 9 and 10 A whole number is divisible by: 2 if the number is even 3 if the sum of its digits is divisible by 3 5 if it ends with 5 or 0 6 if it is even and divisible by 3 9 if the sum of its digits is divisible by 9 10 if it ends with 0 Divisibility Rules for 2, 3, 5, 6, 9 and 10 A whole number is divisible by: 2 if the number is even 3 if the sum of its digits is divisible by 3 5 if it ends with 5 or 0 6 if it is even and divisible by 3 9 if the sum of its digits is divisible by 9 10 if it ends with 0 Order of Operations Step 1: ( ) x2 Parenthesis, Exponents Step 2: ÷ X Division, Multiplication Step 3: + - Addition, Subtraction Rounding: changing a number to the nearest ten, hundred, thousand or so on… Round: 4 5 6 to the nearest tens. Step 1 Underline the digit in the rounding place. Example: 4 5 6 Step 2 Look at the digit to the right of the underlined number. 456 Step 3 If the digit is 0, 1, 2, 3, 4 If the digit is 5, 6, 7, 8, 9 Keep the underlined number the same Add one to the underlined number 456 466 Step 4 Change all of the digits to the right of the underlined number to a zero. 466 460 3 Steps to Changing a Decimal to a Fraction 1. Read it Eight tenths 2. Write it 8 10 3. Reduce it. 2 5 Adding and Subtracting Fractions *To add or subtract fractions, You ALWAYS need a Common Denominator. Numerator Denominator STEP 1: Check to see if you have a common (same) denominator If Yes If No COMMON DENOMINATOR 4 + 7 5 7 DIFFERENT DENOMINATORS = Step 2: Add the numerators 4 + 5 = 4+5 7 7 7 Step 3: Simplify the Numerator 9 7 1 4 + 2 3 = Step 2: Find the Least Common Denominator for both fractions. 1 + 2 = 4 3 Least Common Denominator is 12 Step 3: Rewrite the fractions using the Least Common Denominator 1 X3 3 4 X3 12 Step 4: Rewrite the Improper fraction as a mixed Number 2 X4 8 2 3 X4 12 7 Step 4: Add or subtract the fractions. Simplify if possible. 3 + 8 = 11 12 12 12 1 1) 2) 3) 4) Multiplying Fractions Make everything a fraction Reduce-vertically and diagonally Multiply straight across Make sure final answer is in simplest form 1) 2) 3) 4) 5) Dividing Fractions Make everything a fraction Flip the second fraction Reduce-vertically and diagonally Multiply straight across Make sure answer is in simplest form Least Common Multiple (LCM) The least common multiple of two or more numbers is the smallest of the common multiples. Here are 2 methods to find the LCM Example: Find the LCM of 8 and 10 Step 1: Start listing the multiples of each number. 8: 8, 16, 24, 32, 40, 48 10: 10, 20, 30, 40, 50, 60 Step 2: Then find the smallest of the common multiples. 8: 8, 16, 24, 32, 40, 48 10: 10, 20, 30, 40, 50, 60