Strategies To Teach Algebraic Thinking Paper

Standard Deviation for the mean column is 0.476Standard Deviation for the median column is 0.754Standard deviation for the mean column has least variability

12. For the following scores, find the mean, median, sum of squared deviations, variance, and standard deviation:

The median is basically the middle score for a set of data that has been arranged in order of extent. The median is less affected by outliers and twisted data

6. When do the mean and median have the same value? 7. Describe the relationship between variance and standard deviation.

These represent the range of the sale price. Lastly, I used the formula to get the standard deviation 48,945.28, which measures the variability.

Show your students how to use prediction strategies. For instance, a prediction strategy would work when students have the text in front of them and can find the answer in the text before they look at the multiple choice answer options.

The mean is the average of all numbers. The Liberal’s mean is 50.76, Conservative’s mean is 38.45 and NDP’s mean is 54.57. The NDP’s mean is higher than Liberal and Conservative. It means that the NDP is more popular than the other two parties and the Conservative, which has the lowest mean, is the less popular party among these three parties. In the data center, means and medians are often tracked over time to spot trends which power cost predictions. The statistical median is the middle number in a sequence of numbers. The median is 56 for Liberal, 38 for conservative and 60 for NDP. As we can see, the mean and the median are related and following each other. When the mean is higher the median is higher too and when the mean is lower the median is lower too. To find the median, organize each number in order by size; the number in the middle is the median. Standard Deviation is a measure that is used to quantify the amount of variation or dispersion of a set of data values. A low standard deviation indicates that the data points tend to be close to the mean of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values. The standard deviation for Conservative is 31.4 which is higher in relation to the other two parties. The standard deviation for Liberal is 28.4 and for NDP is 27.1. The data points in the conservative party spread out over a wider range of values in relation to the other two parties. The standard

The NCTM Standard states that “the Number and Operations Standard deals with understanding numbers, developing meanings of operations, and computing fluently” (Executive Summary Principles and Standards for School Mathematics, 2000, p. 3). In this video, the students are prompted to solve “The Staircase Problem” where they are given information to help them find an nth staircase. The students were given a hint during the exercise to first determine the pattern that is taking place before they solve the question. To be able to follow that hint the students must first have an understanding of the number system and the type of numbers being used. Secondly, the students must have an understanding of operations and how to compute their findings. As the students determine the amount of blocks it takes for each staircase they will need to use mathematical operations and computations to determine the amount. In the video, the students discuss with the teacher how they are able to use the previous answer to help aid in finding the block needed for the current amount of stairs. For example, there are 6 blocks for 3 staircases and 10 blocks for 4 staircases. The students recognize that they can add the 6 blocks and 4 staircases to get the total amount of blocks for 4 staircases. By determining this the students had to recognize a pattern and have computations/operational math skills to be able to determine this logic.

5. In stats, spread is a way to measure the variability of the observations around the center.

25. It is not necessary to look at the frequency distribution if the mean, median, and mode are known. (Points : 1)

A manipulative is often used in many ways to teach mathematics such as basic addition, fractions, decimals, order of operations. To name a few manipulatives; blocks, cards, number tiles, counting tubes, etc…A manipulative can be taught either concrete (hands-on) or virtual. Hands-on manipulative models are physical objects such as base-ten blocks, deck of cards, Dice games, and Algebra tiles. A virtual manipulative is a technology that models the existing manipulatives such as base ten blocks, rulers, fractions bars and algebra tiles to name a few. These manipulatives are in the form of Java or Flash applets, a web base technology.

Some of the strategies that she states in the article are daily mental math, fact family challenge book, flashcards, and posters. With all of these different strategies the students are able to challenge themselves, learn to apply doubles without using their fingers, and being able to add numbers using mental math. These strategies are helpful for the student because they are able to recognize fact families and doubles. The fact family challenge will help the student recognize that three numbers have different combinations to be solve as either a subtraction or addition problem. The daily mental math will help the student resolve math problems by choosing the simplest form to solve the problem. In the future, I would like to implement some of the strategies that Buchholz uses in her classroom because students will get to learn different ways to compute math

• Verify a conclusion using algebraic properties • Express mathematical relationships using number sentences/equations • Find the missing values in simple multiplication and division equations • Describe or extend (including finding missing terms) geometric and numeric patterns

Rather, their scores will be spread out. Some will be lower and others higher. Measures of spread help us to summarize how spread out these scores are. To describe this spread, a number of statistics are available to us, including the range, quartiles, absolute deviation, variance andstandard deviation.

In statistics, that single value is called the central tendency and mean, median and mode are all ways to describe it. The mean is the average of all numbers. To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list. The mode is the number that occurs most often within a set of numbers to find the mode, identify which value in the data set occurs most