Khan Academy on a Stick
Applying mathematical reasoning
You already have many tools in your mathematical toolkit. In this topic, you'll use these in settings that you're likely to encounter in the real world!
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Stem-and-leaf plots
Stem-and-leaf Plots
- Reading stem and leaf plots
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Reading pictographs
Common sense tells you that a pictograph must be some kind of....picture. Yes! A pictograph is basically a way to represent data with pictures that relate to the data. Let's look at this word problem that asks to interpret a pictograph.
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Reading bar graphs
Reading Bar Graphs
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Histograms
Histograms
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Reading bar charts: basic example
Let's start with this bar chart that brings back the days of Harry Potter! Putting our toes in the water on this one...
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Creating a bar chart
We're going to create a bar chart together using using data from a survey.
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Reading bar charts: comparing two sets of data
A bar chart is especially useful with comparing two sets of data. The difference in the bars give us a quick snapshot that allows us to draw some conclusions.
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Reading bar charts: putting it together with central tendency
Let's combine some learning! Here we looking at bar charts and using the information to determine the measures of central tendency.
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Reading line graphs
A line graph is another way to visually represent data, especially data that changes over time. They are extremely useful Let's take a look at this example.
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Reading pie graphs (circle graphs)
Reading Pie Graphs (Circle Graphs)
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Misleading line graphs
Misleading Line Graphs
Reading and interpreting data
This tutorial is less about statistics and more about interpreting data--whether it is presented as a table, pictograph, bar graph or line graph. Good for someone new to these ideas. For a student in high school or college looking to learn statistics, it might make sense to skip (although it might not hurt either).
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Multi-step word problem with decimals and subtraction
First visualize this word problem then use subtraction and multiplication of decimals and fractions to get at the answer.
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Multi-step word problem with fractions and units of time
Remember units of measurement? Convert minutes into hours and put your knowledge of fractions to work in this word problem.
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Multi-step word problem with addition, subtraction, and multiplication
Budgeting money is one of the most valuable math skills you'll learn. Practice with us as we figure out how much money is left after a cab fare.
Multi-step word problems
The world seldom gives you two numbers and tells you which operation to perform. More likely, you'll be presented with a bunch of information and you (yes, YOU) need to make sense of them. This tutorial gives you practice doing exactly that. When watching videos, pause and attempt it before Sal. Then work on as many problems as you want in the exercise at the end of the tutorial.
- Greater than and less than symbols
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Inequalities: plotting on a number line
We've been taking a lot of equalities. What about when the relationships between numbers need to be expressed as inequalities? For example, less/greater than and/or equal to? How can we represent that idea on a number line?
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Inequality word problems
We're writing inequalities by using information from the word problems. Woohoo!
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Inequality word problem: one variable
This time we're creating a variable to represent a number, and then writing an inequality. We're building on our knowledge.
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A simple inequality: plotting on a number line
We're plotting a simple inequality on a number line in this example.
Inequalties : Greater than and less than basics
Equality is usually a good thing, but the world is not a perfect place. No matter how hard we try, we can't help but compare one thing to another and realize how unequal they may be. This tutorial gives you the tools to do these comparisons in the mathematical world (which we call inequalities). You'll become familiar with the "greater than" and "less than symbols" and learn to use them.
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Rational number word problem with fractions
Word problems force us to put concepts to work using real-world applications. In this example, determine the volume of frozen water and express the answer as a fraction.
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Rational number word problem with ratios
In this word problem, we'll compare the weight of two objects using a ratio of integers. We'll practice simplifying a fraction, too.
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Rational number word problem with proportions
Use your knowledge of proportions and fractions to determine shareholders profit in this word problem.
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Rational number word problem with decimals
Your checking account is overdrawn. Not good. Use your knowledge of decimals and adding negative and positive numbers to bring your account back into the black.
Cross topic arithmetic
You've probably been learning how to do arithmetic for some time and feel pretty good about it. This tutorial will make you feel even better once by showing you a bunch of examples of where it can be applied (using multiple skills at a time). Get through the exercises here and you really are an arithmetic rock star!
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Using factors and multiples to figure out days of the week
Can you help us think of a mathematical way to determine what day of the week a certain number day falls on? You may say no....but wait! Watch this.
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Math patterns example 1
Part of our exploration of math is learning to identify patterns among numbers. Can you see the pattern in this example?
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Math patterns example 2
We continue to strengthen our skill in identifying patterns. This time we'll use a table to track the pattern.
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Number patterns: Seeing relationships
Laying the foundation for algebraic thinking by learning to recocognize the relationships between paterns and graphing out those relationships.
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Number patterns: interpreting relationships
Examining the points on a number line and interpreting the patterns to discover the relationships.
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Number patterns:: interpreting and graphing relationships
We're building in complexity as we interpret and graph the relationships between patterns in the given ordered pairs. Don't stress. We're here to help!
Number patterns
Let's explore how numbers can grow in different ways and use what we learn to figure out where they can go. We think you'll find this tutorial on number patterns more fun that you do :)
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Constructing numerical expressions
This word problem can be solved by constructing a numerical expression. Can you help? We bet you can!
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Evaluating expressions with and without parentheses
So maybe parentheses don't seem like a big deal? Check out this problem and the difference in the answer when you work it without the parentheses. Wow.
Constructing numeric expressions
Let's construct and interpret expressions from word problems. We can also think about what the effects of parentheses are.
Binary and hexadecimal number systems
Most of us are use to using the digits 0-9 to represent numbers in the base-10 (decimal)number system. In this tutorial, we'll see that is just one of many (really infinite) number systems. In particular, we will focus on the binary (base-2) and hexadecimal (base-16) systems.