What I Learned in 8 th Grade Math
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Transcript of What I Learned in 8 th Grade Math
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?