Download ABC project

By: Scott Bowers
Definition:
Algebra tiles are known as
mathematical manipulatives that
allow students to better
understand ways of algebraic
thinking and the concepts of
algebra.
What I know:
An Algebra Tile Model is an
easy way to model an algebra
equation. They help you with
the matching part of algebra
equations and are a very good
visualization tool.
Definition:
The rules of which
calculation comes first
in an expression.
What I Know:
BEDMAS or Order of
Operations explains which
operations happen when in an
equation. This year learned
more about how brackets and
exponents work.
Definition:
To cross-multiply is to
simplify the equation or
determine the value of a
variable.
What I Know:
Cross multiplying is an easy and
efficient way to simplify ratios and
to help solve the variable in ratio.
Definition:
The Distributive Law says that
multiplying a number by a group of
numbers added together is the
same as doing each multiplication
separately.
What I Know:
The Distributive law is a law
that explains how to multiply a
number into a group of
numbers. E.g.. Brackets
Definition:
The exponent of a number
says how many times to use that
number in a multiplication.
What I Know:
Exponents are used on numbers
to show the multiplication of one
number over and over again in a
shortened form.
Definition:
Part of a whole. The bottom
number says how many parts the
whole is divided into. The top
number says how many you have.
What I Know:
Fractions are one effective way
to show many different types of
numbers or even a equation. E.g..
Ratios, Whole Numbers, Division.
Definition:
As well as the familiar equals
sign (=) it is also very useful to
show if something is not equal
to (≠) greater than (>) or less
than (<)
What I Know: The signs>, <, ≥,
≤ are all used in to solve
inequalities statements. The
inequality statements are solve
similar to linear equation
statements.
Definition:
The side opposite the right
angle in a right-angled triangle.
What I Know:
The hypotenuse is the longest
side on a right triangle. This is
important to know because
hypotenuse is always C in
Pythagorean Theorem.
Definition:
Integers are like whole
numbers, but they also
include negative numbers ...
but still no fractions allowed!
What I Know:
Integers are any whole number that
can be positive or negative. Integers
are easily represented on a number
line. Integers are also used in
polynomials, linear equations and
inequalities.
Definition:
Two angles are Adjacent if
they have a common side and a
common vertex (corner point),
and don't overlap.
What I Know:
Adjacent Angles are angles
usually inside a isosceles triangle.
You know angles are adjacent if
the sides are also equal.
Definition:
"Common" Denominator just
means that the denominators
in two (or more) fractions are
common, or the same.
What I Know:
Finding a common denominator
is the easiest way to add and
subtract fractions. A common
denominator can be found
between two numbers by
multiplying the denominators
together.
Definition:
An equation that makes a
straight line when it is graphed.
What I Know:
A linear equation is a way to show a
linear relation. You solve a linear
equation similarly to how you solve an
inequality.
Definition:
A polynomial with just one
term.
What I Know:
A monomial is a polynomial that is
made up of term or number. If you
add, subtract, multiply or divide
multiple monomials your answer will
always be a monomial.
Definition:
The top number in a fraction.
What I Know:
The numerator of a fraction is the
top number of fraction. When you are
adding or subtracting fractions, you
just add or subtract the numerators if
there are common denominators. If
you are multiplying you just multiply
and if you are diving your second
numerator flips and becomes your
second denominator.
Definition:
With Rotational Symmetry, the
image is rotated (around a
central point) so that it appears
2 or more times. How many
times it appears is called the
Order.
What I Know:
The order of rotation is how
many times one picture can
turn and look the same before
getting back to it’s original
position.
Definition:
In a right angled triangle the
square of the long side is
equal to the sum of the
squares of the other two sides.
What I Know:
Pythagorean Theorem is the formula
you use to figure out a side of a right
triangle. Depending on which side you
are trying to get, the formula is written
like A²+B²=C² or C²-B²=A²
Definition:
The answer after you divide one
number by another. Dividend ÷
Divisor = Quotient.
What I Know:
A quotient is the answer to any
division operation. A quotient can be
represented in many different forms,
it just has to be the answer to a
division question.
Definition:
The distance from the center
to the edge of a circle. It is half
of the circle's diameter.
What I Know:
The radius of a circle is half the
diameter of a circle. Any line that
starts at the center of the circle and
goes directly to the edge of the
circle is a radius. The radius is
usually C in Pythagorean Theorem.
Definition:
What I Know:
The total area of the surface
Surface Area is the total amount of
of a three-dimensional object. space or area that a 3-D Shape would
take up if it was laid out flat. To get SA
for a rectangular shape you add up the
side amounts, to get SA for a circular
shape you have to use the formula 2pi r²
Definition:
A line that just touches a
curve at one point, without
cutting across it.
What I Know:
A tangent is a straight line that
touches the outside of a circle at one
point without going through the circle.
Definition:
two or more terms that are not
like terms.
What I Know:
When solving a polynomial question,
one of the steps is to simplify by
matching. When you are doing this you
are matching the terms that are the
same. When the terms are different
they are called Unlike Terms.
Definition:
A symbol for a number we
don't know yet.
What I Know:
Variables are used to represent an
unknown number. They are the focus
of linear equations question and
inequality questions.
Definition:
There is no fractional or
decimal part. And no negatives.
What I Know:
A whole number is any number that
on a circle graph fill up the whole
circle. Whole Numbers can not be a
fraction, decimal or percent.
Definition:
The line on a graph that runs
horizontally (left-right) through
zero.
What I Know:
The X-axis is the axis on a grid that
is horizontal.
Definition:
The line on a graph that runs
vertically (up-down) through
zero.
What I Know:
The Y-axis is the axis on a grid that is
vertical.
Definition:
A zero pair is when one
pairs a positive counter and a
negative counter.
What I Know:
Using zero pairs is an easy way to
simplify a linear equation or inequality
question. A zero pair is when you
have a positive number and it’s
negative opposite. When you have this
they make zero son you can just
remove them from the equation.
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