Lines
This value is sometimes referred to as an initial value.
What is Y-intercept?
An independent variable can only produce one of these types of variables.
What is a dependent variable?
This group of people invented the concept of zero?
Who are the Myans and/or Babylonians?
Jo Boeler is a Stanford Professor who has done extensive research on how people learn math. She identified seven attributes for optimal learning and found those who display these attributes learn math at a faster pace and maintain their learning for longer. Those with these attributes are said to have this?
What is either a growth mindset or a mathematical mindset?
This is how to find the future value of $1,000 invested at 18% for 5 years in a way that will earn full credit.
What is y=ab^x or y=1,000(1.18)^5?
This value is often referred to as the rate of change.
What is slope?
This variable is normally in the exponent for exponential functions involving time.
What is time?
This famous scientist is often credited with saying "Compound interest is the eighth wonder of the world. He who understands it earns it... he who doesn’t... pays it."
Who is Albert Einstein?
Someone with a growth mindset would describe a conceptual mistake that they were making while learning math as this.
What is a valuable opportunity for growth?
A financial and mathematical reason not to borrowing on a credit card and not pay it back at the end of each month.
What is the interest rates are very high (sometimes over 18%) and over time the amount you have to pay back grows exponentially?
This is normally the best equation to use to find the slope if you are given any two points.
What is point slope form? (y-b)=m(x-a)
This dollar amount is equal to ab^x. Where a is the initial amount, b is the growth rate, and x is time specifically expressed in terms of the timeframe for the rate used in b.
What is the future value of money?
The number of people who use Khan Academy every year?
What is 100 million?
This causes the brain to grow.
What is making mistakes and understanding the reasons for the mistake?
This NBA player adjusted his game as he got older to improve his 3 pointer?
Who is Michael Jordan?
This is normally the best form to use if you have the y-intercept and the slope.
What is Y intercept form? y=mx+b
The number of slopes that are represented in an exponential function.
What is infinity?
The number of years it would take something to double at a 15% growth rate.
What is five?
A necessary but unpleasant part of learning math according to a growth mindset.
What is struggle?
The reason that it is almost always important to calculate the value of the independent variable at stage zero.
What is because it is the y-intercept and the initial value and therefore hard to understand a mathematical phenomenon if you don't include that data point?
This is the type of analysis that is normally used to plot two independent variables to determine if there is a linear relationship.
What is a linear regression?
For most regression analysis this type of model predicts slower growth at the beginning but delivers higher growth as time goes on.
What is an exponential analysis?
Malthus believed the human population would be subject to regular war and famine because our ability to utilize resources would grow linearly while our population would grow like this.
What is exponentially?
The percentage of people who are capable of doing difficult math very well.
What is nearly 100%?
A way of stretching or scrunching the underlying graph allowing the author to express an exponential function linearly.
What is using the log function of a graph?