STAAR Review

STAAR Review

Your Algebra STAAR exam is tomorrow. Remember to bring your IDEA issued chromebook to school.

Problem Solving Strategies

• Use Desmos to graph (draw a picture if necessary)

• Write out your work! Do not add things up in your head, write things out

• Skip over problems you do not know and come back to them later. Who cares if you skip 20 problems and start on question #21. Do what you feel good about first.

• Do not leave any question blank.

Solving Literal Equations

Use inverse operations to solve

Solving Square Roots

Use your calculator to simplify square root

Graphing: Key Words

On the next few slides please review key words you should be familiar with when graphing in Algebra 1

Domain and Range

• Domain is x values and Range is y values

• Domain- scan your eye balls from LEFT to RIGHT

• Range- scan your eye balls from BOTTOM to TOP

Domain and Range

• When you are given an equation: GRAPH IT!

• Go to Desmos and put in f(X)=-37

• For domain look at the x-axis and ask yourself how far to the left and right does this line go? Forever...so it's all Real numbers

• For the Range ask yourself, how far down and up does the graph go on the y-axis. The only number for y is -37. So the range is -37

X-intercepts

• X-intercepts are also called ZEROS, ROOTS, or SOLUTIONS

• X-Intercept crosses the x-axis

• What are the zero(s) of the function?

• -6 is the zero of the function.

• Why are the points (-8,3) and (-3,-4.5) labeled on the graph?

• The extra points labeled on the graph are just a distraction.

Y-intercepts

• Y-intercepts cross the y-axis

• Y-intercepts also mean the "starting point" or "initial value"

• What is the meaning of the y-intercept in this picture? Write your answer in the chat box.

• The y-intercept is the initial value. So initially the water level was 16ft.

Slope

• Slope tells us how steep is a line.

• Slope is also named "rate of change"

• y=mx+b is SLOPE INTERCEPT FORM. Where the variable "m" is the slope

• On a graph count the Rise over run to find the slope

SLOPE

• To find the slope from a graph you can also use the slope formula

• Label your points correctly and plug into the formula

SLOPE

• From a table find the slope with the slope formula

• Label your points and plug them in the formula correctly!

SLOPE

You can also find slope from just two points. Once again use the slope formula. Label your points and plug them into the formula correctly!

Slope Intercept Form

y=mx+b

We have discussed slope and y-intercept in depth. The next step is putting them into an equation. In this equation "m" is the slope. "b" is the y-intercept.

The slope of this line is -3/2

The y-intercept is (0,7)

Writing Linear Equations

• Write an equation given "m" and a point

• Plug in the x, y, and m into equation (y=mx+b) then solve for "b"

Point slope Form

y-y1=m(x-x1)

Parallel Lines

Same slope but different y-intercept

Parallel lines have no solution because the lines never touch.

Perpendicular Lines

Opposite reciprocal slopes.

"Flip" and "Switch"

Example:

Line 1: m=2

Line 2: m= -1/2

Transformations

Linear, Quadratic, and Exponential functions can be moved around.

In this picture the line h has been moved up 2 units from the parent function f(x)=x²

The graph of h is h(x)=f(x)+2

Now it's your turn to practice answering problems.

I have each of you a group of problems to work on. Please ask me questions when you get stuck or are unsure about how to solve.

Also use your Desmos STAAR calculator. Here is the link: https://www.desmos.com/testing/texas/graphing