Algebra I Pacing Guide 2014-15

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Revised 8/29/14
Date
Topic
SOL
#
Curriculum Pacing Guide
ACMS 2014-2015
Algebra 1
Reporting
Blooms
Category
Objective
1st 9Wks
3 Days
3 Days
Pre-Assessments
Translating
A1
Expressions
& Operations
24%
Synthesis
Translate verbal quantitative situations into algebraic
expressions
A1
Synthesis
Translate algebraic expressions into verbal quantitative
situations.
3 Days
Exponents
A2a
Analysis
Simplify expressions using the laws of exponents.
5 Days
Square Roots
A3
Analysis
Express square roots of a whole number in simplest form.
Cube roots
A3
Analysis
Express the cube root of a whole number in simplest form.
Scientific
Notation
Order of
Operations
A2a
Analysis
A1
Analysis
A1
Analysis
A1
Synthesis
Express numbers, using scientific notation, and relate the
operations to the laws of exponents.
Evaluate algebraic expressions for a given replacement set to
include rational numbers.
Evaluate expressions that contain absolute value, square
roots, and cube roots.
Model real-world situations with algebraic expressions in a
variety of representations (concrete, pictorial, symbolic, verbal).
Simplify expressions and solve equations using the field
properties of the real numbers and properties of equality to
justify simplification and solution.
2 Days
4 Days
5 Days
Properties
A4
Equations &
Inequalities
36%
Evaluate
End 1st Interim
Revised 8/29/14
5 Days
Equations
and
Inequalities
A4
Application
Solve multistep linear equations in one variable
algebraically and graphically.
1st 6 Weeks Review, Assessment, and Reteach Period
5 Days
5 Days
A5
Application
Solve multistep linear inequalities in one variable
algebraically and graphically.
3 Days
A4
Synthesis
Solve a literal equation (formula) for a specified variable.
5 Days
A4
Evaluate
Justify simplifications and solutions using the field properties of
real numbers and properties of equality.
A5
Evaluate
A4
Comprehension
A4
A4
Comprehensi
on
Evaluate
Justify steps used in solving inequalities, using axioms of
inequality and properties of order that are valid for the set of
real numbers.
Confirm algebraic solutions to linear equations, using a
graphing calculator.
Determine if a linear equation in one variable has one, an
infinite number, or no solutions.
Solve real world problems involving equations.
A5
Evaluate
Solve real world problems involving inequalities.
End of 1st Quarter
2nd 9
Weeks
Expressions
& Operations
24%
Monomials
A2
Analysis
Simplify monomial expressions and ratios of monomial
expressions in which the exponents are integers, using the
laws of exponents.
A2
Analysis
Find products of monomials.
4 Days
4 Days
5 Days
2nd 6 Weeks Review, Assessment, and Reteach Period
Revised 8/29/14
Monomials
8 Days
A2
A2
Analysis
Analysis
Find the quotient of monomials, using a monomial divisor.
Find the quotient of polynomials, using a monomial divisor.
End 2nd Interim
2 Days
Polynomials
5 Days
5 Days
A2
Analysis
Find sums and differences of polynomials.
A2
Analysis
A2
Analysis
Find products of polynomials. The factors will have no more
than five total terms (i.e. (4x+2)(3x+5) represents four terms
and (x+1)(2x2 +x+3) represents five terms).
Find the quotient of polynomials, using monomial divisors.
A2
Analysis
Find the quotient of polynomials, using binomial divisor.
A2
Analysis
Find the quotient of polynomials, using a completely factored
divisor.
3rd 6 Weeks Review, Assessment, and Reteach Period
4 Days
5 Days
A3
Analysis
2 Days
A2
Analysis
A2
Analysis
Express the principal square root of a monomial algebraic
expression in simplest form where variables are assumed to
have positive values.
Model, sums differences, products, and quotients of
polynomials with concrete objects and their related pictorial
representations.
Relate concrete and pictorial manipulations that model
polynomial operations to their corresponding symbolic
representations.
End of 2nd Quarter/Semester
3rd
9Weeks
7 Days
6 Days
Factoring
A2
Analysis
A2
Analysis
Factor completely first degree polynomials with integral
coefficients.
Factor completely second-degree polynomials with integral
coefficients
Revised 8/29/14
2 Days
8 Days
Factoring
Statistics
A2
Analysis
Identify prime polynomials.
A2
Comprehension
Use the x-intercepts from the graphical representation of the
polynomial to determine and confirm its factors.
Synthesis
Given data, including data in a real-world context, calculate
and interpret the mean absolute deviation of a data set.
A9
Synthesis
A9
Synthesis
A9
Synthesis
Given data, including data in a real-world context, calculate
variance.
Given data, including data in a real-world context, calculate
and interpret standard deviation.
Given data, including data in a real-world context, calculate
variance and standard deviation of a data set and interpret the
standard deviation.
A9
Synthesis
Given data, including data in a real-world context, calculate
and interpret z-scores for a data set.
A9
Synthesis
Explain ways in which standard deviation addresses dispersion
by examining the formula for standard deviation.
A9
Synthesis
Compare and contrast mean absolute deviation and standard
deviation in a real-world context.
A9
Functions &
Statisitics
40%
End of 3rd Interim
4 Days
4th 6 Weeks Review, Assessment, and Reteach Period
4 Days
A9
Evaluate
A10
Analysis
Analyze descriptive statistics to determine the implications for
the real-world situations from which the data derive.
Compare, contrast, and analyze data, including data from realworld situations displayed in box-and-whisker plots.
Revised 8/29/14
4 Days
5 Days
5 Days
Functions
Slope
A7
Comprehension
Identify the domain, range, zeros, and x and y intercepts of a
function presented algebraically.
A7
Comprehension
A7
Application
Determine whether a relation, represented by a set of ordered
pairs, a table, or a graph is a function.
For each x in the domain of f, find f(x).
A7
Knowledge
A7
Analysis
A7
Analysis
Identify the domain, range, zeros, and intercepts of a function
presented graphically.
Detect patterns in data and represent arithmetic and geometric
patterns algebraically.
Make connections between multiple representations and
represent relations and functions using concrete, verbal,
numeric, graphic, and algebraic forms. Given one
representation, students will be able to represent the
relation in another form.
Knowledge
Describe slope as the rate of change.
A6
Comprehension
A6
Application
A6
Application
A6
Analysis
A6
Synthesis
A6
Evaluate
A6
Analysis
Recognize and describe a line with a slope that is positive,
negative, zero, or undefined.
Find the slope of a line, given the graph of a line.
Recognize and describe a line with a slope that is positive,
negative, zero, or undefined
Find the slope of a line, given the coordinates of two points on
the line.
Find the slope of the line, given the equation of a linear
function.
Graph linear equations and inequalities in two variables,
including those that arise from a variety of practical situations.
Use the parent function y = x and describe transformations
defined by changes in the slope or y-intercept.
Use transformational graphing to investigate effects of changes
in equation parameters on the graph of the equation.
End of 3rd Quarter
A6
Equations &
Inequalities
36%
Revised 8/29/14
4th
9Weeks
5 Days
Writing
Equations for
Slope
A6
Synthesis
Write an equation of a vertical line as x = a.
A6
Synthesis
Write an equation of a horizontal line as y = c.
A6
Synthesis
Write an equation of a line when given two points on the line
whose coordinates are integers.
A6
Synthesis
Write an equation of a line when given the slope and a point on
the line whose coordinates are integers.
A6
Synthesis
Write an equation of a line when given the graph of a line.
Spring Break
3 Days
3 Days
Line of Best
Fit
Variations
A11
Functions &
Statistics
40%
Synthesis
A11
Evaluate
A11
Synthesis
A11
Evaluate
A8
Application
A8
Application
A8
Synthesis
Write an equation for a curve of best fit, given a set of no more
than twenty data points in a table, a graph, or real-world
situation.
Make predictions about unknown outcomes, using the equation
of the curve of best fit.
Design experiments and collect data to address specific, realworld questions.
Evaluate the reasonableness of a mathematical model of a
real-world situation.
Given a situation, including a real-world situation, determine
whether a direct variation exists.
Given a situation, including a real-world situation, determine
whether an inverse variation exists.
Write an equation for a direct variation, given a set of data.
A8
Synthesis
Write an equation for an inverse variation, given a set of data.
A8
Synthesis
Graph an equation representing a direct variation, given a set
of data.
Revised 8/29/14
3 Days
2 Days
15 Days
Systems of
equations
Quadratics
REVIEW FOR
SOL TEST
ADMINISTER
EXAM/SOL
TEST
A4
Comprehension
Determine whether a system of two linear equations has one
solution, no solution, or infinite solutions.
A4
Application
A4
Application
A5
Evaluate
A4
Synthesis
Given a system of two linear equations in two variables that
has a unique solution, solve the system by substitution or
elimination to find the ordered pair which satisfies both
equations.
Given a system of two linear equations in two variables that
has a unique solution, solve the system graphically by
identifying the point of intersection.
Solve systems of linear inequalities algebraically and
graphically.
Solve real world problems involving systems of equations.
A4
Synthesis
A4
Evaluate
A4
Analysis
A4
Analysis
A4
Comprehension
SOL’s
1–11
Equations &
Inequalities
36%
Write a system of two linear equations that models a real-world
situation.
Interpret and determine the reasonableness of the algebraic or
graphical solution of a system of two linear equations that
models a real-world situation.
Solve quadratic equations algebraically and graphically.
Identify the roots or zeros of a quadratic function over the real
number system as the solution(s) to the quadratic equation that
is formed by setting the given quadratic expression equal to
zero.
Confirm algebraic solutions to quadratic equations, using a
graphing calculator.
Final review, assessment and reteach period
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