Math 6 Boot Camp Review

6.4 Multiplying and Dividing Fractions using Models Multiplication: One fraction is your rows, the second your columns. The numerator (top) is how many are shaded, the denominator (bottom) is how many total rows/columns. Answer = the number of boxes double shaded over the total number of boxes Ex: ¼ x ½ Ex: 3 x ½

Don’t Forget…

6.8 Order of Operations *Remember: Multiplication and Division you do in the order you see them. *Remember: Addition and Subtraction you do in the order you see them.

6.9 Metrics 1.1 inch is about 2.5 centimeters 2.1 foot is about 30 centimeters 3.1 meter is a little longer than a yard (40 inches) 4.1 mile is slightly farther than 1.5 kilometers 5.1 kilometer is slightly farther than ½ a mile 6.1 ounce is about 28 grams 7.1 pound is 16 ounces 8.1 nickel has the mass of about 5 grams 9.1 kilogram is a little more than 2 pounds quart is a little less than a liter 11.1 liter is a little more than a quart 12.Water freezes at 0 degrees Celcius and 32 degree F 13.Water boils at 100 degrees Celcius and 212 F 14.Normal Body temperature is about 37 degrees C and 98 degrees F 15.Room temperature is about 20 degrees celcius and 70 degrees F

6.9 Metric Examples Ex: What number of meters equals 24 yards? Ex: How many liters is equivalent to 3 gallons? Ex: If a pencil is 8 inches long, how many centimeters is that? Ex: If Tom runs 10 kilometers, how many miles did he run? On the moon April weighs 60 kilometers, how much does she weigh on earth in pounds?

6.18 Equations

6.18 Equations Vocabulary Equation – has an = sign Expression – has NO = sign Coefficient – the number in front of the variable 3x Variable – the letter in the equation or the expression 3x Term – each section of an equation or an expression separated by a +, -, or =. Ex: 3 + 2x = 9

6.18 Models

6.7 Computation of Decimals When working with word problems you have to read the problem carefully. Determine what the question is asking. Eliminate the given information that you don’t need. Determine what operation is needed to solve the problem.

6.7 Decimal Examples Ex: Jill bought items costing $3.45, $1.99, $6.59, and $ She used a coupon worth $2.50. If Jill had $50.00 when she went into the store, how much did she have when she left? Ex: Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1.2 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape? Ex: Alisha wants to buy a camera that cost $228, including tax. She has saved $4.75 each week for the past 8 weeks. How much more money does Alisha need to purchase the camera? Ex: The regular price of a meal is $6.75. On Tuesday, the meal is on sale for $2.00 off the regular price. Sarah bought 4 of these meals on Tuesday. What is the total cost of these 4 meals before tax?

6.15 Measure of Central Tendency Mean – when the data set has no very high or low numbers and all numbers are close in value Median – when the data set has some high or low numbers and most of the data in the middle are close in value Mode – when the data set has many identical numbers (you can only have one mode for it to be the best measure, usually the number repeats at least 3 times) Ex: Which situation would require finding the median as an appropriate center of measure? a)The temperatures recorded were either 20 degrees or 25 degrees b)All of the temperatures recorded were all between 80 degrees and 90 degrees c)A few of the temperatures recorded were very low or very high d)All of the temperatures recorded were 55 degrees Ex: Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. 48, 12, 11, 45, 48, 48, 43, 32 Ex: Which measure best describe the cost of the CDs? $12, $14, $18, $10, $14, $12, $12, $12

6.15 Mean as a Balance Point The balance point is just the mean, plotted on a number line, where the data is equally distributed. The sum of the number of bunny hops from each x on the right of the balance point has to be the same as the sum of the number of bunny hops from each x on the left of the balance point.

6.15 Mean as a Balance Point

6.3 Absolute Value/Integers The distance or bunny hops from zero, distance is ALWAYS POSITIVE. Left and down means negative Up and right means positive When ordering and comparing integers think of money. Which ever one you would rather have is the bigger number. Remember the bigger the negative the smaller the number. Integers cannot be a fraction or a decimal Order for least to greatest: -5, 27, 8, - 32, 0, 15 Order for greatest to least: -7, 3, 2, 1, -10, -4 Compare: -7 to -8, -20 to -14, 10 to 8, -13 to -11 Absolute Value of: -4, 2, 0, 1, - 3

6.2 Fractions, Decimals, and Percents Dr. Pepper: Decimal to Percent -> to the right two times Percent to Decimal <- to the left two times Decimal to Fraction: place value Fraction to decimal: timber and divide Fraction to percent: timber and divide, then Dr. Pepper Percent to fraction: drop %, and put over, then simplify

6.2 Fraction, Decimal, and Percent Examples FractionDecimalPercent ½0.550% ¼0.2525% ¾0.7575% 1/ % 2/ % 1/50.220% 2/50.440% 3/50.660% 4/50.880% Ex: Order from greatest to least: 0.5%, 3/5, 0.22 Ex: Compare ¾ to 80%, 0.87 to 7/10, 0.25% to 0.25 Ex: Which one belong between 2/3 and 87%? A) 6/10 B) ¾ C) 92/10 D) 55/100

6.13 Quadrilaterals All angles add up to be 360°

6.13 Quadrilaterals Examples Ex: Which shapes are not parallelograms? Ex: Which statement is false? A) all squares are rectangles B) all squares are parallelograms C) all rhombuses are squares D) all rhombuses are parallelograms

6.17 Sequences Arithmetic: common difference, adding and subtracting Geometric: common ratio, multiplying and dividing Ex: If the arithmetic pattern shown continues, what will be the 8 th number: 54, 48, 42, 36, … A) 34 B) 30 C) 12 D) 6 Ex: Which statement is true about the pattern shown? 5, 20, 80, 320, … A) the common ratio is 4 B) the common ratio is 15 C) the common difference is 4 D) the common difference is 15