ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra 1a
TIMELINE: 3rd Quarter
Concepts and skills
students master: 1.
Quantities can be
expressed and
compared using ratios
and rates
a. Apply the concept of a ratio
and use ratio language to
describe a ratio
relationship between two
quantities. I
GRADE: High School
We will write ratios to
express how two
quanities relate to each
other.
Appl
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Ratio
Quantity
Terms
Relationship
Comparison
Proportion
Simplify
Scale Factor
Appl
Example:
This recipe has a ratio of
25 cups of water to 5
teaspoons of salt, so there
are 5 cups of water to each
teaspoon of salt.
Rate
Unit rate
Ratio
Relationship
Quantity
Comparison
Convert
Eval
Note: verbally, written,
model, etc.
Appl
Book Shelf:
36 =2x2x3x3
42 = 2x3x 7
GCF= 2x3
=6
LCM= 2x2x3x3x7=252
We will write ratios in
three forms: a to b; a:b;
a/b.
We will use multiplication
or division to create
equivalent ratios.
Concepts and skills
students master: 1.
Quantities can be
expressed and
compared using ratios
and rates
Concepts and skills
students master: 2.
Formulate, represent,
and use algorithms
with positive rational
numbers with
flexibility,
b. Apply the concept of a unit
rate
a/b associated with a ratio
a:b
with b ≠ 0, and use rate
language in the context of
a
ratio relationship. I
c. Find the greatest common
factor of two whole numbers
less than or equal to 100. C
We will simplify ratios
We will convert rates to
unit rates, and use rate
language in the context
of a ratio relationship.
We will use the
characteristic of rates
and unit rates to
describe the difference
between the two.
We will find the greatest
common factor of two
whole numbers less than
or equal to 100.
Factor
Common Factor
GCF (greatest
common
factor)
Prime factorization
Divisibility
accuracy, and
efficiency
Concepts and skills
students master: 2.
Formulate, represent,
and use algorithms
with positive rational
numbers with
flexibility,
accuracy, and
efficiency
Concepts and skills
students master: 2.
Formulate, represent,
and use algorithms
with positive rational
numbers with
flexibility,
accuracy, and
efficiency
Concepts and skills
students master: 2.
Formulate, represent,
and use algorithms
with positive rational
numbers with
flexibility,
accuracy, and
efficiency
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
d. Find the least common
multiple of two whole numbers
less than or equal to 12. C
We will find the least
common multiple of two
whole numbers less than
or equal to 12.
Appl
See above
Common multiple
LCM (least
common
multiple)
Prime factorization
e. Use the distributive property
to express a sum of two whole
numbers 1–100 with a
common factor as a multiple of
a sum of two whole numbers
with no common factor. M
We will factor the sum of
two numbers.
Appl
Example:
4+8 = 4(1+2)
Distribute
Property
Distributive
Property
GCF
f. Interpret and model
quotients of
fractions through the
creation of
story contexts. C
We will create a story
problem which uses
quotients of fractions
4+8
4(1) + 4(2)
4(1+2)
Synth
We will draw and
describe (annotate) a
model/diagram/picture
that represents a story
problem which uses
quotients of fractions
d. Solve real-world and
We will solve real-world and
mathematical problems by writing
mathematical problems by
and solving
writing and solving
equations of the form x + p = q and
equations in algebraic form.
px = q for cases in which p, q and
x are all nonnegative rational
numbers. I
e. Write an inequality of the form x
We will write an inequality
> c or x < c to represent a constraint of the form x > c or x < c to
or condition in a real-world or
represent a constraint
Quotient
Dividend
Divisor
Reciprocal
Multiplicative
Inverse
Model
Diagram
Annotate
Appl
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
represent unknown
quantities within
equations and
inequalities
Concepts and skills
students master:
2. Variables are used to
represent unknown
quantities within
equations and
inequalities
mathematical problem. I
or condition in a real-world
or mathematical problem.
f. Show that inequalities of the form
x > c or x < c have infinitely many
solutions; represent solutions of
such inequalities on number line
diagrams. I
We will show that
inequalities of the form x >
c or x < c have infinitely
many
Solutions by representing
solutions of such
inequalities on number line
diagrams.
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
Analysis
See above
Infinite
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
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Area
Square units
Plane figures
Polygons
Formulas
Quadrilaterals
Compose
Decompose