Deeanna Golden, a teacher of 24 years at F.M. Golson Elementary
School in Marianna, Florida, is a beloved Illuminations lesson plan
writer. So we asked her, "Why do you think it is important to share resources?"
Equations to solve in your
Is this a joke? Not if you can
multiply the first equation by 6,751 and the second by 3,249 in your head, and
not if you use a second, simpler method.
Ask a friend to pick a number from 1 through 1,000. After asking him
ten questions that can be answered yes or no, you tell him the number.
What kind of Questions?
Three lines cut rectangle ABCD into six congruent
The perimeter of rectangle ABCD is 30
cm. What is the area of the shaded region, in square centimeters?
In bowling, the pins are numbered from 1 to 10 and
form an equilateral triangle, as shown below.
How might a bowler take
two shots in one frame such that the sum of the pins he knocked down on the
first ball equals the sum of the pins he knocked down on the second?
Note that the bowler needn’t knock down all 10 pins. Also, it must be
physically possible to knock down the pins you choose — for instance, it’s
impossible for a bowling ball to knock down pins 3, 4, and 10 without knocking
are 29 students in Miss Spelling’s class. As a special holiday gift, she bought
each of them chocolate letters with which they can spell their names.
Unfortunately, some letters cost more than others — for instance, the
letter A, which is in high demand, is rather pricey; whereas the letter Q,
which almost no one wants, is relatively inexpensive.
price of the chocolate letters for each student in her class is shown in the
AIDEN – 386
ARI – 209
ARIEL – 376
BLAIRE – 390
CHARLES – 457
CLARE – 334
DEAN – 317
EARL – 307
FRIDA – 273
GABRIEL – 410
IVY – 97
KOLE – 249
LEIA – 317
LEO – 242
MAVIS – 246
NADINE – 453
NED – 236
PAUL – 167
QASIM – 238
RACHEL – 394
RAFI – 231
SAM – 168
TIRA – 299
ULA – 148
VERA – 276
VIJAY – 179
WOLKE – 272
XAVIER – 346
ZERACH – 355
much would it cost to buy the letters in your
Algebra exercises often ask students to "Find
." But you won't find
in this brainteaser!
Create an equation of the form
Find four positive integers
such that the product
is equal to the sum of the squares,
What? That's too easy, you say? You're probably right. But can you find four different solutions -
“Mom, look at that license plate,” Will said.
about it?” his mother asked. It didn’t seem unusual to her. The plate consisted
of two sets of three digits, with the state logo between the sets.
Will said, “All six digits are different. And when you multiply the
first three digits, you get the same product as when you multiply the last
you do,” his mother said. “How many plates like that do you suppose there are?”
that’s the cool part,” Will replied. “The number of plates like that is equal
to the product of the first three digits.”
license plate might Will have seen?
The diagram at left shows the top of a regular pentagon with the top of a square
inscribed in it. The shapes share a vertex at the top, and the other two
vertices of the square lie on the sides of the pentagon. If the diagram were
continued to include the entire pentagon and the entire square, which shape
would extend below the other?
other words, does the whole square fit inside the pentagon, does the square
protrude at the bottom, or do the square and pentagon meet at a single point?
Wheels A, B, C, and D are connected with belts as shown. If wheel A starts to rotate clockwise as the arrow indicates, can all 4 wheels rotate? If so, which way does each wheel rotate?
Can all the wheels turn if all 4 belts are crossed? If 1 or 3 belts are crossed?
The number groups below are the last five digits of the fifth powers
of the numbers 31 through 39. However, the groups aren't in the right
order to represent the fifth powers of 31 through 39 sequentially. Using
only these digits, and without using a calculator, can you place the
groups in the correct order?