KS3 Bitesize: Maths - Probability - Introduction Fractions Teach Multiplication Using Base 10 Blocks This video is pretty self explanatory, so I won't put too much here in the way of words. People don't read these posts much anyway just look at the pictures and watch the videos...so: But for those interested in a little more in the way of training for parents or teaches, with little kids you don't need to write symbols to start. (By little kids I mean 6 and under.) Just do what you see here and talk about it. Later the symbols will make sense when we write them. Here again I want to drive home the point that all we are doing is counting and basically I am teaching him to count and count quickly using fractions manipulatives. Introduce skip counting early and sing songs and play and this whole problem can be avoided...too many teen-agers have this exact same problem, they are having trouble with math (particularly algebra) because they can't even multiply and having a calculator doesn't help. They were trying to spare students the pain of memorization and drill.
Rules of Probability, Independent Events - Statistics and Probability The study of probability mostly deals with combining different events and studying these events alongside each other. How these different events relate to each other determines the methods and rules to follow when we're studying their probabilities. Events can be pided into two major categories dependent or Independent events. Independent Events When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring. Dependent Events When two events are said to be dependent, the probability of one event occurring influences the likelihood of the other event. For example, if you were to draw a two cards from a deck of 52 cards. There are 4 Aces in a deck of 52 cards On your first draw, the probability of getting an ace is given by: If we don't return this card into the deck, the probability of drawing an ace on the second pick is given by Conditional Probability Rules of Probability
Grade 4 Common Core Math - 4.NF.2 Activities Lesson Activity Ideas:Benchmark Fraction Activities:It is important for students to learn the benchmarks of 0, 1/2, and 1. These same benchmarks are also helpful when comparing mixed numbers. Below is a possible question to pose to your students.Place fractions on a number line.Compare fractions with questions like:Is 1/3 closer to 0, 1/2, or 1? How do you know? Warm-Up Activities:As part of a daily warm-up, ask students to place numbers on a number line. Good Questions for Comparing Fractions:Have students select 3 digit cards at random.
Conditional Probability How to handle Dependent Events Life is full of random events! You need to get a "feel" for them to be a smart and successful person. Independent Events Events can be "Independent", meaning each event is not affected by any other events. Example: Tossing a coin. Each toss of a coin is a perfect isolated thing. What it did in the past will not affect the current toss. The chance is simply 1-in-2, or 50%, just like ANY toss of the coin. So each toss is an Independent Event. Dependent Events But events can also be "dependent" ... which means they can be affected by previous events ... Example: Marbles in a Bag 2 blue and 3 red marbles are in a bag. What are the chances of getting a blue marble? The chance is 2 in 5 But after taking one out you change the chances! So the next time: if you got a red marble before, then the chance of a blue marble next is 2 in 4 if you got a blue marble before, then the chance of a blue marble next is 1 in 4 See how the chances change each time? "Replacement" Tree Diagram Check
Fraction Exercises with Shapes and Number Lines September 28, 2012 Continue learning to identify and count fractions with this new set of interactive exercises. Building on the skills learned in our fraction exercises for first and second graders, this set of problems introduces more numerator values to students while continuing to apply both a variety of shapes and number lines to the student's learning experience. Lots of Shapes Fractions are inherently visual and a solid foundation in fraction identification and problem-solving application requires the consistent use of a variety of colored and divided shapes. Applying Fractions to the Number Line In addition to shapes, number lines play an important (and often overlooked) role in mastering fraction skills. Number lines also allow students to visualize fractions in an entirely different way. Additional screenshots:
Probabilty Tree Diagrams We can construct a probability tree diagram to help us solve some probability problems. A probability tree diagram shows all the possible events. The first event is represented by a dot. In this lesson, we will learn how to draw probability tree diagrams for independent events (with replacement) how to draw probability tree diagrams for dependent events (without replacement) Related Topics:More Probability Lessons Example: A bag contains 3 black balls and 5 white balls. a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks: i) two black balls ii) a black ball in his second draw Solution: a) Check that the probabilities in the last column add up to 1. b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. ii) There are two outcomes where the second ball can be black. Either (B, B) or (W, B) From the probability tree diagram, we get: P(second ball black) = P(B, B) or P(W, B) (ii) both are black.
Learn How to Measure Angles through Time! To help learn how to measure angles take a look at the two clocks that are shown here. The red line segments that are drawn over the hands of the clocks are the sides of the angles. The measure of the angles deals with the distance between the two hands of the clock. In this example, the clock on the right has a great distance between the two hands. This translates to a larger angle measurement. The most common way to measure an angle is by degrees. Use the following colors to understand the examples below: When both sides of the angle are on top of each other, the angle is 0°. When both sides of the angle are completely opposite each other, the angle is 180°. We are interested in determining how far apart the two sides of the angle are when they are in between 0° and 180°. Take a look at the first example. along the line on the protractor. Now, take a look at the blue side of the angle. The blue line goes across the numbers 40° and 140°. Answer: 80°
Stats: Probability Rules "OR" or Unions Mutually Exclusive Events Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0. Disjoint: P(A and B) = 0 If two events are mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring. Specific Addition Rule Only valid when the events are mutually exclusive. P(A or B) = P(A) + P(B) Example 1: Given: P(A) = 0.20, P(B) = 0.70, A and B are disjoint I like to use what's called a joint probability distribution. The values in red are given in the problem. Non-Mutually Exclusive Events In events which aren't mutually exclusive, there is some overlap. General Addition Rule Always valid. P(A or B) = P(A) + P(B) - P(A and B) Example 2: Given P(A) = 0.20, P(B) = 0.70, P(A and B) = 0.15 Interpreting the table Certain things can be determined from the joint probability distribution.
Grid Paper PDFs Free Online Graph Paper / Grid Paper PDFs Downloadable and very printable, I find these PDFs extremely useful. Tip number one! Though I do return the correct header for a PDF, sometimes Explorer gets confused when downloading... So if you're running Windows, you may need to right-click a link and choose "Save link to disk". Tip number two! Some people may need to turn off the option in Adobe's Acrobat reader "shrink to fit" which may resize the grid slightly to fit your printer's printable area. Tip number three! If you want the hexes aligned with the other edge of the paper, just make your paper size "11 x 8.5" and print the result in landscape mode! Translations Belorussian (provided by Ucallweconn weblog) Other
Graphing Polynomials With A 7 Year Old. If you've played with blocks and done the lessons for YEARS this stuff is easy by the time you reach the ripe old age of 7. Ot you can wait ten years until your kids are 17 and watch the pain and frustration mount until the domestic tranquility leave your house hold they hate math, they hate school, and they hate they teachers and of course they hate you and let you know it sometimes at the top of their lungs. Make math fun and easy and now they don't hate going to school anymore in fact they might like going because people will think they are smart because people think people who can do math are smart whether they are or not...but anyway remove the pain and domestic tranquility returns. Or you could avoid the problems in the first place and let me teach you to teach your kids math. I have also had untold numbers of fathers and mother who DID understand the math but weren't able to get their kids to understand it come come me...after they figured out turning the volume up didn't help.