SUBJECT: Algebra 1a
TIMELINE: 4th Quarter
1. In the real number
system, rational and
irrational numbers are in
one to one
correspondence to
points on the number
line
1. In the real number
system, rational and
irrational numbers are in
one to one
correspondence to
points on the number
line
GRADE: High School
e. Use square root and cube root
symbols to represent solutions to
equations of the form x2 = p and x3
= p, where p is a positive rational
number. I
I will model square root and
cube to represent solutions
to equations of the form x2
= p and x3 = p, where p is a
positive rational number.
g. Use numbers expressed in the
form of a single digit times a whole
number power of 10 to estimate
very large or very small quantities,
and to express how many times as
much one is than the other. I
I will utilize numbers
expressed in the form of a
single digit times a whole
number power of 10 to
estimate very large
quantities to express how
many times as much one is
than the other.
I will use numbers
expressed in the form of a
single digit times a whole
number power of 10 to
estimate small quantities to
express how many times as
much one is than the other.
2. Direct and indirect
measurement can be
used to describe and
make comparisons
2. Direct and indirect
measurement can be
used to describe and
make comparisons
a. Explain a proof of the
Pythagorean Theorem and its
converse. I
I will explain a proof of the
Pythagorean Theorem and
its converse.
b. Apply the Pythagorean Theorem
to determine unknown side lengths
in right triangles in real-world and
mathematical problems in two and
three dimensions. I
I will apply the Pythagorean
Theorem to determine
unknown side lengths in
right triangles in real-world
problems in two
dimensions.
Appl
Holt, Rinehart, and Winston
P. 146-147, 240, 154, 380381
Square root
Cube Root
Holt, Rinehart, and Winston
P. 146-147, 380-381
Evaluate
Perfect square
Perfect cube
I will apply the Pythagorean
Theorem to determine
unknown side lengths in
right triangles in real-world
problems in three
dimensions.
I will apply the Pythagorean
Theorem to determine
unknown side lengths in
right triangles in
mathematical problems in
two dimensions.
I will apply the Pythagorean
Theorem to determine
unknown side lengths in
right triangles in
mathematical problems in
three dimensions.
Concepts and skills
students master:
2. Variables are used to
represent unknown
quantities within
equations and
inequalities
Concepts and skills
students master:
2. Variables are used to
represent unknown
quantities within
equations and
inequalities
Concepts and skills
students master:
2. Variables are used to
represent unknown
Appl
d. Solve real-world and
mathematical problems by writing
and solving
equations of the form x + p = q and
px = q for cases in which p, q and
x are all nonnegative rational
numbers. I
e. Write an inequality of the form x
> c or x < c to represent a constraint
or condition in a real-world or
mathematical problem. I
We will solve real-world and
mathematical problems by
writing and solving
equations in algebraic form.
We will write an inequality
of the form x > c or x < c to
represent a constraint
or condition in a real-world
or mathematical problem.
Analysis
f. Show that inequalities of the form
x > c or x < c have infinitely many
solutions; represent solutions of
such inequalities on number line
We will show that
inequalities of the form x >
c or x < c have infinitely
many
Analysis
Examples:
Finding the cost of concrete
for a tetherball court.
Determining the amount of
gas needed to drive to Disney
World.
Example;
Xavier’s allowance is more
than Cindy’s.
Algebraic form
Constraint
See above
Infinite
quantities within
equations and
inequalities
diagrams. I
Concepts and skills
students master:
1. Objects in space and
their parts and attributes
can be measured and
analyzed
a. Develop and apply formulas and
procedures for area of plane figures
i. Find the area of right triangles,
other triangles, special
quadrilaterals, and polygons by
composing into rectangles or
decomposing into triangles and
other shapes. I
ii. Apply these techniques in the
context of solving real-world and
mathematical problems. I
Solutions by representing
solutions of such
inequalities on number line
diagrams.
We will develop and apply
formulas to find the area of
triangles, quadrilaterals,
and polygons.
Analysis
& Synt
We will use the formulas
we’ve developed and other
problem solving strategies
to find the area in real-world
situations.
Appl
Find the area of right
triangles, other triangles,
special quadrilaterals, and
polygons by composing into
rectangles or decomposing
into triangles and other
shapes
SMARTBOARD:Smart
exchange
Area
Square units
Plane figures
Polygons
Formulas
Quadrilaterals
Compose
Decompose