Categorías: Todo - equations - graphing - functions - students

por Rachel Herrig hace 9 años

841

Functions and Graphs

This educational resource is designed to help elementary students gain a better understanding of algebra and graphing. It offers various review materials, including definitions, problem-solving techniques, and interactive games to make learning engaging.

Functions and Graphs

Algebra and Graphing

The goal of this map is provide students with review materials such as definitions, how to do the problems, and review games. The audience is elementary students.

Graphs

Putting it together

This videos puts these concepts all together for you. It may be a little more challenging, but take a look!

Graphing review

You know that the functions tell you where to go on the graph.

Recall that the X-axis (in-put) is the horizontal line and that the Y-axis (out-puts) is the vertical line.

Use these games to review WHERE to plot those points from a function.

Catch the fly!

Save the Zogs!

Ready for something a little more difficult?

A Y intercept is a horizontal line the passes through where "Y" is.

A X intercept is a vertical line that crosses through X.

In this game, you get the rescue the Zogs!

Use these tips to save them!

HINT: Remember, you can adjust the slope to!

Function grapher

Here is a beginner's graph that uses y=mx+b

Take a look at where x and y end up and if they follow the "rule"!

Graphing

You know how to do algebra and use functions. Now what?

Next, you use those skills to create a graph!

You are given an equation that says,

" y=3x+1" (or y=mx+b)

Let's take this apart together!

Y

Remember our functions? Y is the "output". Our job is to discover where to put the points on the graph.

3x

The number attached to the x is something called a "slope". A slope, like a skiing hill, takes you up or down. The format is RISE/RUN. Since 3/1 is 3, we know that the RISE is 3 (How far you go up or down) and the RUN (the LENGTH you go).

X

This is where you put your input. For an example, x=2 (like your in a function!)

if x=2, 3x= 6

1

Where the number one is where your point (called b) on the graph begins. 

Algebra, functions, and graphs can all go together!

The Slope Song

Functions

Functions are fun!
Stop that Creature!

Function Machine

What about functions?

Imagine that you have a magical machine. You put an object in it, magic is given to that object, and something completely different comes out!

Now functions aren't magic, but it is similar to this! A function is a rule that you have a number follow. When the rule is applied, a new number is created!

 

Take a look at these numbers...X is the original number and Y is the new number. Guess the rule!

X                   Y

0                   2

1                   3

2                   4

3                   5

If you guessed that the rule is to "add 2" you are correct! Functions are about finding the relationship between the numbers. Good job!

Algebra

Try it out!
Balance the scale

Play ball!

In this baseball game, be sure to scroll down and select "Yes" for the Algebra option. Start out with addition and work your way up to Division and "All of the above"! Have fun!

Key ideas
Important words

Adding/ subtracting

Multiplying/ dividing

What is ALGEBRA?

Algebra is a fancy word for find missing parts in a math problem. The way that you find those missing pieces is an equation. Finding these parts balances out the problem and completes it.

"Jose gave 2 markers to Yoki. He has 3 left over. How many did he start out with?"

The missing piece is how many he first had. For the missing piece, we use a letter (like x) to show where it is missing.

x-2=3             (We subtract because he GAVE AWAY and we want to find what he started with.

x=3+2       (2 is added so X is alone and the sides are balanced)

x=5

See? It's not so bad!