Download Topic - Catawba County Schools

2009-2010 Catawba County Schools Pacing Guide – Algebra 1
Topic:
Objectives
Key Concepts/Major Focus
Secondary Terminology
Chapter 1
Model
relationships
with variables
1.1
1.2
1.3
Using variables, exponents and order of
operations; exploring real numbers
Chapter 1
Add real
numbers using
models and rules
applying addition
Chapter 1
Use distributive
property to
simplify
algebraic
expression
1.4
1.5
1.6
Adding, subtracting, multiplying and
dividing real numbers
1.7
1.9
Distributive Property
Graphing data on the coordinate plane
Variable, algebraic expression, equation,
open sentence, simplify, exponent, base,
power, order of operations, evaluate,
natural numbers, whole numbers, integers,
rational numbers, irrational numbers,
inequality, opposites, absolute value
Identity and inverse property of addition,
additive inverse, matrix, element, identity
property of Multiplication of 1, inverse
property of multiplication, multiplicative
inverse, reciprocal
Distributive property, term, constant,
coefficient, like terms, deductive,
reasoning, coordinate plane, x-axis, yaxis, origin, quadrants, ordered pairs,
coordinates, x-coordinates, y-coordinates,
scatter plots, correlation, negative, no
correlation, trend line
REVIEW and TEST on Chapter One
Chapter 2
2.1
To solve
2.2
equations using
addition and
subtraction
Chapter 2
2.3
To use
2.4
distributive
property when
combining like
terms
Chapter 2
2.3
To define a
2.4
variable in terms
of another
variable
Chapter 2
2.5
To define a
variable in terms
of another
variable: to
model distancerate-time
problems
Chapter 2
2.6
Transform
Literal equations
Chapter 2
2.7
Find mean,
median, mode :
make and use
stem and leaf
plots
Chapter 3
3.1
Identify solutions 3.3
of inequalities,
3.2
graph and write
inequalities and
use addition to
solve inequalities
Page 1 of 4
Solve one step and two step equations
Deductive Reasoning
Solution of an equation, equivalent,
equation, inverse operations
Solving multi-step equations and
equations with variables on both sides
Identity
Equations and Problem solving
Consecutive integers
Uniform motion
Equations and Problem Solving
Consecutive integers
Uniform motion
Formulas
Literal equation
Measures of central tendency, mean,
outlier, median, mode, range, stem and
leaf plot
Inequalities and their graphs
Solving inequalities using addition and
subtraction
Solving inequalities using multiplication
and division
A solution of an inequality
Equivalent inequalities
Revised 11/15/09
2009-2010 Catawba County Schools Pacing Guide – Algebra 1
Topic:
Objectives
Chapter 3
3.4
Chapter 3
3.5
Chapter 3
3.6
Chapter 4
4.1
4.2
Chapter 4
4.3
Chapter 4
4.4
Key Concepts/Major Focus
Secondary Terminology
To solve multi-step inequalities with
variables on one side
To Solve multi-step inequalities with
variables on both sides
To solve and graph inequalities containing
“and”
To solve and graph inequalities containing
“or”
Solve equations and inequalities that
involve absolute value
Find ratio’s and rates
Solve proportions
Solving multi-step inequalities
To use proportions when solving percent
problems
To write and solve percent equations
To find percent of change
To find percent of error
Compound inequalities
Absolute value equations and inequalities
Ratio, rate, unit rate, unit analysis,
proportion, extremes of a proportion,
means of a proportion, cross products
Proportions and percent equations
Percent of change
Percent of decrease
Percent of error
Percent of increase
Greatest possible error
Schedule
Benchmark Now
Quarter 1
22 Days:
Topic:
Objectives
Key Concepts/Major Focus
Secondary Terminology
Chapter 8
Exponents and
Scientific Notation
Chapter 8
Multiplicative
Property of
Exponents
Chapter 8
Division Property of
Exponents/Geometric
Sequences
Chapter 8
Exponential
functions and
exponential growth
and decay
Chapter 9
Adding and
subtracting
polynomials
Multiplying and
Factoring
Polynomials
Chapter 9
Multiplying
Binomials and
special Cases
Chapter 9
Factoring Trinomials
Chapter 9
Factoring Special
Cases and REVIEW
1.01a
8.2
Zero and negative exponents
Scientific Notation
Zero exponents, Negative exponents,
Scientific Notation
1.01a
8.3
Multiplication Properties of Exponents
Same base, Power, Simplifying a power
1.01A
8.5
Division Properties of Exponents
Geometric square
Quotient, geometric sequence. Common
ratio, term
4.04
8.8
Exponential functions
Decay and growth
Exponential function, function, decay
factor, exponential growth, compound
interest, interest, exponential decay
1.01b
Adding and subtracting polynominals
1.01b
Multiplying and factoring polynomials
Monomial, degree of moony
Polynomial, degree of polynomial,
standard form of polynomial, trinomial,
like terms
Greatest common factor
Distributive property
1.01b
Multiplying binomials and special cases
Binomial, FOIL, box method, square of
binomial, difference of squares
1.01c
Factoring Trinomials
1.01c
Factoring
Special Cases
Trinomials, factors, GCF
Greatest Common Factor
Perfect square trinomial
Difference of 2 squares
Page 2 of 4
Revised 11/15/09
2009-2010 Catawba County Schools Pacing Guide – Algebra 1
Topic:
Objectives:
Key Concepts/Major Focus
Simplifying Radicals
Chapter 11
1.01a
Simplifying Radicals
Multiplying Radicals
Operations with
Radical Equations
Chapter 11
Pythagorean
Theorem and
Distance and
Midpoint Formulas
Chapter 11
Solving Radicals
Equations/Graphing
Square root functions
Chapter 11
1.01
Operating with Radical expressions
Using FOIL
Using Distributive Property
Pythagorean Theorem
Distance and midpoint formula
1.01
1.02
2.02
2.03
1.01a
Solving radical equations
No solution
Secondary Terminology
Radical expressions, Perfect squares,
Rationalize, Division of property,
Multiplication of property
Like radicals, Unlike radicals,
Conjugates, FOIL
Hypotenuse, Leg, Conditional,
hypothesis
Converse, conclusion, midpoint
formula
Distance formula, Pythagorean theorem
Radical equation, Extraneous solution,
No solution, Square root equation,
Vertical translation, Horizontal
translation
Schedule
Benchmark Now
Quarter 2
18 Days:
Topic:
Objectives:
Key Concepts/Major Focus
Secondary Terminology
Functions
Chapter 5
5-1/5-2/5-3
Functions
Chapter 5
4/01a
Relations and functions
1.03
4.01
Function Rule
Direct variation
Number patterns
Domain, range, vertical line, function
notation, independent and dependent
variable
Variation constant (K), Arithmetic
sequence, Inductive reasoning
5.4/5.5/5.6
Lines
4.01
Chapter 6
4.01b
6-1/6-2
Lines
4.01b
Chapter 6
6-3/6-4
REVIEW and TEST of Lines
Lines
2.02
Chapter 6
6-5
Lines
2.02
Chapter 6
3.03
6.6/6.5
6.6
*2 days
Lines
2.02
Chapter 6
3.03
6-7
Systems
4.03
Chapter 7
7.2
7-2
Systems
4.03
Chapter 7
7.3
7-3
Systems
4.03
Chapter 7
7.3
7-1,7-2,7-3
Systems
4.03
Chapter 7
7-4
Systems
4.01
Chapter 7
4.03
7-5,7-6
Page 3 of 4
Slope
Slope intercept
Form
Standard and point slope form
Rate of change, Rise / run, y- intercept,
zero /undefined slope, +/- correlation
Parallel and Perpendicular Lines
Negative reciprocal, Same slope,
parallelogram
Scatter plots
Line of best fit, Correlation coefficient,
Travel line, Prediction line, Linear
regression
Absolute value
Equations
Translations, Reflections
Solving systems
Substitution method, intersection point,
solution, no solution, infinite solutions
Solving systems
Elimination
Solving systems
Graphing, Elimination, Substitution
Solving systems
Word problems
Application problems
Solving systems
Linear inequalities and systems
X intercept, y-y, Ax+By=C
Revised 11/15/09
2009-2010 Catawba County Schools Pacing Guide – Algebra 1
Topic:
Objectives:
Systems
Chapter 7
4.03
Solving systems
Objectives:
Key Concepts/Major Focus
Exploring Quadratic
Graphs
Chapter 10
Find and estimate
square roots
Chapter 10
10.01
10.02
Graphing inequalities
Investigate and explore quadratic graphs
10.03
To investigate radicals/square roots and
use those basic concepts to solve
quadratic equations.
Factoring to solve
quadratic
equations./Quiz
Quadratic Formula
Chapter 10
Discriminant and
selecting appropriate
models
Quiz Sections:
10.1 to 10.4
To investigate and explore solving
quadratic equations with factoring
10.05
To explore how to use quadratic formulas
to solve quadratic equations
To find the number of solutions of a
quadratic equations
To investigate discriminants and select
appropriate models
Direct and inverse
variation
Chapter 12
Simplify radical
expressions
Chapter 12`
Multiply and divide
rational expressions
Chapter 12
Dividing
Polynomials
Chapter 12
Adding and
subtracting rational
expressions
Chapter 12
12.01
Quarter 2
15 Days:
Page 4 of 4
Secondary Terminology
Shaded solutions, Technology activity
Schedule
Benchmark Now
Quarter 2
22 Days:
Topic:
Key Concepts/Major Focus
12.03
Compare and solve direct and inverse
variations
Identify the constant of variation
Simplify radical expressions
12.04
Multiply rational expressions
12.05
Divide rational expressions
Explore the processes of dividing
polynomials
12.06
To add and subtract rational expression
with /without like denominators
Secondary Terminology
Quadratic function, standard form of
quadratic function, parabola, axis of
symmetry, vertex, minimum, maximum
Principal square root, negative square
root, radicand, perfect squares, quadratic
equation, standard form of quadratic
equations
Zero product property
Quadratic formulas
Discriminant
A) linear functions
B) quadratic functions
C) exponential functions
Regression
Direct variation, Inverse variation,
Constant of variation
Radical expression
Polynomials
Rational expression
Schedule
Benchmark Now
Revised 11/15/09