HOMEWORK #3
SQUARES INSIDE
SQUARES
By:
Spongebob SQUAREpants!
http:/theladywolf.blogspot.com/2010/04/spongebob-squarepants-svg.html
TEKS Grade 8
(9) Measurement. The student uses
indirect measurement to solve problems.
The student is expected to:
(A) use
Understanding the Problem
KnownsThe first triangle has 2 rows with three on top and two on bottom
It takes 1 move to move the triangle upside down
A triangle with 3 rows has three pennies on bottom, two the next, and one on top
It takes 2 moves to move th
Understanding the Problem
Knowns
- You start with one sheet of paper
- You cut the paper in half and stack one sheet on top of the other
- Continue this process
- The papers are 7/1000 of an inch thick
Unknowns
- How tall the stack would be if you cut the
Understanding the Problem
Knowns4 different kinds of dogs
4 different owners
4 different classes
4 different places- first, third, fourth, and ninth
All the other information given
UnknownsWho owns what dog
What kind of dog each one is
Which place each on
Understanding the Problem
KnownsThere are 3 prisoners
1 of the prisoners was blind
There were 3 white hats and 2 red hats
The jailer placed the hats on the prisoners in the dark
The game they played was that one of them had to say the color of their hat a
Homework Problem #3
The sides of the outside square in the figure are 6 inches long. The corners
of the next smaller square are at the midpoints of the outside square, and
so on.
a.
Find the sum of the perimeters of the three
squares in the figure.
b.
Understanding The Problem
KnownsStart with a 16 oz. bottle of wine
On the 1st day, he drinks 1 oz. then fills it up with water
On the 2nd day, he drinks 2 oz. then fills it up with water
On the 3rd day, he drinks 3 oz. then fills it up with water
He conti
Understanding the Problem
Known
- Sides of the outside square are 6 inches long.
- The corners of the next smaller square are at the midpoint of the outside square
- This pattern continues
Unknown
- Length of sides of smaller squares
- Perimeter of each s
1. Understanding the Problem
KnownConcert begins in 17 minutes
All members must cross bridge
Two people can cross at one time
A torch is always required to cross bridge
Torch must be walked back and forth
Pair must walk at slower mans rate
Bono takes 1 mi
Understanding The Problem
Knowns
- Farmer Moore is separating her prized bovine collection.
- For one cow, there are eight haystacks surrounding it
- For two cows, there are ten haystacks surrounding it
- For three cows, there are twelve haystacks surroun
Understanding The Problem
KnownThe triangle is isosceles, thus the two sides are equal.
The sides AC and AB are both 6 inches.
Angle CAB is greater than or equal to 60 degrees.
The edge lengths of the triangle must be integers.
UnknownThe length of side B
MASC 351
08/31/2016
S
Examples of Videos
Rubrics will be available online.
Game Stop
Trevor's Mean
S
Examples of presentations
Key note: need to give example before
giving the problem to solve.
Rubrics will be available on eCampus.
S
Presentation evaluati
Masc 351
9/5/2016
Draw a diagram
When would you use a
diagram?
Drawing a diagram is the
most common problem
solving strategy.
Often, the problem solver
needs to draw a diagram even
to understand the problem.
Planting grapes
Jack decided to plant
grapes
MASC 351
09/12/16
Brain Warm Up
A quart bottle contains a mixture that is 1/3
orange juice, 2/3 water. A half gallon bottle
contains a mixture that is 3/4 orange juice, 1/4
water. The contents of the two bottles are
poured into a gallon
jug. What is the r
MASC 450
MIDTERM
NOTES
Howdy,
Here are general tips how to prepare for the midterm exam.
Focus on reviewing notes and labs conducted during this course. I will make the notes
from previous weeks available on eCampus. Most of the questions will ask to buil
Week Four
System of linear equations is defined as a collection (set) of linear functions with
common variables.
Graphical Method of Solving
Solve each equation for y
Graph the equations
Find intersection
Algebraic Method of Solving
Elimination Method
Week Five
Piece-wise function
Composed of different pieces or forms: quadratic, linear, cubic, etc.
Forms are restricted to specific domains x-intervals.
Can be continuous or discontinuous.
Can be increasing, decreasing, or constant.
Example:
Rules
Th
Week One
Best Fit Lines
Describing Motion
Motion can be described by finding function that shows objects position, velocity,
or acceleration.
The most standard representation is a position function that can be used to find
object location at any time in
Week Six
Quadratic Functions
Highest exponent is 2
Minimum and/or Maximum value
Finding the equation of a quadratic line
Vertex form with a vertex of (0,2):
To find a plug in a point for f(x) and x. Then solve for a
Week Three
Most composite figures (except of a circle, ellipse, etc.) can be decomposed into
triangles.
Connect opposite vertices
Draw the heights for each triangle. The heights must be perpendicular to the
base.
Measure the bases and the heights and fi
Week Two
Coefficient of Determination (r2) CAN BE CALCULATED IN A TI84 CALCULATOR
Describes the percent of data variation that can be explained by derived
regression model.
If r2= 0.6 then 60% of data is supported by the model.
Can take values between