What I Learned in 8th Grade

MathMy personal review capstone project

Personal Review Capstone Project Instructions:

Look on my website for the Release STAAR Test. I have also attached all the questions for the project at the end of the PowerPoint.

You may choose any media you’d like. Your project must be at least 12 slides or sections;

one for each Big Idea and one for the title page. Solve the indicated problems. Instructions Part 1: Work out the problems. Give

the answers you come up with. Instructions Part 2: Create a similar problem, do not

copy it. Work it out as if you are teaching someone else who doesn’t understand it yet. What are the tricky points? Where could careless mistakes or common errors be made? How do you know it is right? Is there a different way to solve it? How did you check for reasonableness?

Make it personal. Do your best. Save it and show it to your kids when they are in the 8th grade.

Big Idea #1Convert and Order Numbers

I understand that different forms of numbers are appropriate for different situations. I know how to compare and order rational

numbers in various forms including integers, percents, and positive and negative fractions and decimals

Released STAAR questions 8, 30

Instructions Part 1: Work out the problems. Give the answers you come up with.

Instructions Part 2: Create a similar problem, do not copy it. Work it out as if you are teaching someone else who doesn’t understand it yet. What are the tricky points? Where could careless mistakes or common errors be made? How do you know it is right? Is there a different way to solve it? How did you check for reasonableness?

Big Idea #2Word Problems

I can use appropriate operations to solve problems involving rational numbers in problem situations

Released STAAR questions 15, 27Things to remember:

Watch out for careless mistakes by checking your work and solving it in more than one way.

Round numbers to whole numbers and estimate to check for reasonableness

Line up decimals when adding and subtracting

Count decimal places when multiplying

Move the decimals to the right when dividing if necessary

Big Idea #3Percents and Rates

I can estimate and find solutions to application problems involving percents and other proportional relationships such as

similarity and rates

Released STAAR questions 12, 34Things to remember:Is/of = %/100At least 4 ways to set up a

proportion Unit rates are powerful. Find out

the value of one and multiply it by how ever many you need

Big Idea #4MARS

(Multiple Algebraic Representations)I can make connections among various representations of a

numerical relationship. I can generate a different representation of data given another representation of data

(such as a table, graph, equation, or verbal description)

Released STAAR questions 18, 26Things to remember:

Y=.0825x+xIf x represented the cost of something

and the tax rate is 8.25%, what would Y represent?

Y=-5x+160 Verbal: you have $160 and will spend

$5 per week. Y=how much money you have, X=the

week numberPlug in a value for the week and solve

for y. These ordered pairs are solutions to the equation that make the table.

Is this proportional or non-proportional?

Big Idea #5Using MARS

(Multiple Algebraic Representations) I can predict, find, and justify solutions to application problems

using appropriate tables, graphs, and algebraic equations;

Released STAAR questions 1, 24

Big Idea #6Similar Figures

I can generate similar figures using dilations including enlargements and reductions

Released STAAR questions 9, 32Things to remember:

Scale Factors bigger than 1 enlarge.Scale Factors less than 1 and

greater than 0 reduce.Scale factors can be represented by

a fraction, decimal or percent.SF: new/old

Big Idea #7Surface Area and Volume

I can estimate measurements and use formulas to solve application problems involving lateral and total surface area and

volume

Released STAAR questions 11, 33Things to remember: Formulas are

friends.B= Area of the baseP= Perimeter of the baseShade and trace the baseFormula, plug-in, evaluate, check for

reasonableness

Big Idea #8Pythagorean Theorem

I can use the Pythagorean Theorem to solve real-life problems

Released STAAR questions 7, 23Things to remember:

a^2+b^2=c^2Hypotenuse is the longest sideWorks only with right triangles If a is the side length, a^2 is the

area of the side squared

Big Idea #9Find missing measurements

I can use proportional relationships in similar two-dimensional figures or similar three-dimensional figures to find missing

measurements

Released STAAR questions 2, 37Things to remember:

Set up a proportionFind scale factor: new divided by old

corresponding side lengthsMultiply to apply the scale factor

Big Idea #10Probability

I can find the probabilities of dependent and independent events

Released STAAR questions 6, 20Things to remember: Each event gets

its own fraction. The numerator is how many of what you want there are. The denominator is how many total things there are. Independent: one event does not effect

the next events. (tossing a coin, spinners, pulling out a color tile and putting it back)

Dependent: one event DOES effect the next events. The denominator gets smaller. Pulling out something and not replacing it. Dependent duplicate events: pulling out a

King from a deck, keeping it out and pulling out another King: (4/52)(3/51) Assume you got what you wanted on the first pull.

Big Idea #11Tricky Graphs

I can recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis

Released STAAR questions 16, 29Things to remember:

Read the title and axisWhat is the story of the graph?Where did the data come from?Can it be trusted? Is the sample enough to predict? If 20% of the class likes chocolate

ice cream does that mean 1/5 of the world likes chocolate ice cream?