Integrated Algebra
Time
Unit 1:
Number Theory and Sets
& Numeracy w/Calculator
Usage
12 days
(1) Set-Builder Notation
1 day
(2) Operations w/Sets (Venn) 1 day
(3) Properties of Real #s
1 day
Scientific Notation
(4) Simplifying Radical
2 days
Expressions (no variable
In the denominator)
(5) Translating Verbal Phrases
& Formulas
2 days
(6) Factorial, Absolute Value,
& Exponential Evaluation 1 day
(7) Solving Linear Equations 2 days
Unit 2:
Geometric Formulas
(1) Area & Perimeter of
Polygons
(2) Circumference/Area of
Circles including Sectors
(3) Areas of Composite &
Shaded Regions
(4) Volume/Surface Area of
Solids
(5) Manipulating Formulas
for Variables
State Perf. Ind.
AA29
AA30, AA31
AN1
AN4
AN2
AA1, AA2
AN6
AA22
9 DAYS
2 days
AG1
1 days
AG1
1 day
AG1
1 day
AG2
2 days
AA23
Time
Unit 3:
Ratio & Proportion
State Perf. Ind.
12 days
(1) Motion Problems w/ 1 day
Calculating Rates
(Rates as slopes)
(2) Conversions of Units 1 day
Within a System;
Kmm
(3) Verbal Problems w/ 2 days
Fractions, %, Decimals
(4) Verbal Problems w/ 3 day
Proportions and Direct
Variation
(5) Calculating Relative 2 days
Errors in Measurement
Unit 4:
AM1
AM2
AN2
AN5
AM3
Basic Operations with Polynomials
9 days
(1) Adding/Subtracting
1 day
Monomials/Polynomials
& Geometric Applications
(2) Mult./Div. Polynomials 3 days
(3) Undefined Fractions
1 day
(4) Adding/Subtracting
1 day
Rational Expressions
w/Same Denominators
AA13
AA12,13,14
AA15
AA17
Unit 5:
Time State Perf. Ind.
Solving Linear Equations/Inequalities Algebraically
12 days
(1) Checking Routines
ongoing
AA21
For Linear Equations
& Inequalities
(2) Distinguishing between Algebraic Expressions
And Equations
ongoing
AA3
(3) Translating Verbal Phrases
Into Equations/Inequalities
ongoing AA4
(4) Solving Equations involving Fractional
Coefficients
AA25
(5) Solving Proportions w/
1 day
AA26
Linear Equations
(6) Solving Inequalities
1 day
AA24
(7) Applications of Verbal Problems
Involving Equations and
Inequalities
5 days
AA6,
AN5
Unit 6:
Graphical Solutions of Linear Equations/Inequalities
12days
(1) Slope Formula
1 day
AA32
AA33
(2) Slope-Intercept Form of a Line 1 day
AA37
w/ Parallelism
AA38
(4) Graphing Lines and
2 days
AG4
Absolute Value
(5) Writing Equation of a Line
3 days AA34
- AA36
(6) Determining if a point
1 day
AA39
is on a line
(7) Relations vs. Functions
1 day
Examine ordered pairs/graphs
(8) Graphing/Shading Inequalities 1 day
AG3
AG6
Time State Perf. Ind.
Unit 7:
Solving Systems of Linear Equations & Inequalities
11 days
(1) Solving Systems of Linear Equations
& Inequalities Graphically
2 days
(2) Solving System of Equations
Algebraically
3 days
(3) Solving Verbal Problems that
Lead to a System
2 days
(4) Graphing/Solving Systems with
Fractional Coefficients
2 days
(5) Determine whether a given point 1 day
is within the solution set of a system
of equations/inequalities
Unit 8:
Probability
AG7
AA10
AA7
AG7
AA40
13 days
(1) Singleton Events, “and, or, not” 2 days
Sample Space/Tree Diagrams
(2) Empirical vs. Theoretical Prob, 1 day
(3) Complements/Counting Principle 1 day
AN7
AS19
AS21
AN7
(4) Counting Principle Probability with 1 day
Replacement
(5) Permutations
1 day
(6) Permutations with repetition/factorials 1 day
(7) Comparative likelihood of events
1 day
AS20
AN7
AS20
AN7
AN8
AS22
Occurring
(8) Probability with permutations
2 days
AS23
(9) Probability of compound events
1 day
AS23
(dependent/independent)
*****MIDTERM for INTEGRATED AGLEBRA *********************
Time
Unit 9
State Perf. Ind.
Statistics
13 days
(1) Interpreting Graphs/Charts
ongoing AS1
Analyzing and collecting data
AS15
Biased Samples
(2) Mean/Median/Mode and comparing 1 day AS4
Appropriate of each
(3) Building Tables and histograms
1 day AS5
(4) Cumulative Frequency histograms
1 day AS5
(5) Percentiles/Quartiles (Modal Interval) 1 day AS11
(6) Box and Whisker Plots
1 day AS6
(7) Bivariate Data and Scatter plots
1 day AS7
(8) Scatter plots and graphing calc
1 day AS7
(9) Line of best fit/ Causation/
2days AS8
Correlation Coefficient/ Extrapolation
AS13
AS14
AS17
(10) Data Analysis
1 day AS10
*****************END OF ALGEBRA A COURSE*****************
Algebra B Course
Unit 10
Unit 11
Operations with Radicals
(1) Simplifying Radicals
(2) Adding and Subtracting Radicals
(3) Multiplying with radicals
(4) Dividing Radicals/ rationalizing
Denominators
7 days
1 day
1 day
1 day
2 days
Factoring
(1) GCF greatest common factor
(2) Difference of 2 squares
10 days
1 day AA20
1 day AA19
Time
AN2
AN3
AN3
AN3
State Perf. Ind.
(3) Factoring trinomials
2days AA20
(Coefficient of leading term = 1)
(4) Factoring trinomials
2 days AA20
(Coefficient of leading term not =1)
(5) Factoring completely
2 days AA20
Unit 12
Solving Quadratics Algebraically and Graphically 10 days
(1) Solving quadratics with integral
2 days AA27
Coefficients/ integral roots
AA28
(2) Graphing Parabolas
2 days AG4
(3) Determine Axis of Symmetry
2days AG10
Finding a vertex (integral values)
(graph to equation and equation to graph)
(4) Changing coefficients and the effect 1 day AG5
On graphs of parabolas
(5) Finding roots of quadratics graphically 1 day AG8
Unit 13
Quadratic Applications
8 days
(1) Solving algebraic proportions
2 days AA26
(linear/quadratic)
(2) Solving verbals with quadratics
2 days AA8
(3) Solving quad/linear systems graphically 1 day AG9
(4) Quadratic/linear systems algebraically 2 days AA11
Unit 14
Unit 15
Exponential Functions
(1) Exponential graphs
(2) Coefficient changes
(using y = a(b^x) )
(3) Growth and Decay verbals
(4) Comparing linear, quadratic
And exponential graphs
9 days
2 days AG4
1 day AG5
Pythagorean Theorem (right triangle trig)
(1) using theorem to find sides
(include irrational lengths)
(2) Introduction to trig ratios
10 days
1 day AA45
Time
3 days AA9
1 day AG4
1 day
State Perf. Ind.
(3) Trig ratios when you know 2 sides
(4) Trig ratios(finding a side) given an
Acute angle and a side
(5) Finding an acute angle given 2 sides
(6) Application/verbals
Unit 16
Algebraic Fractions
(1) Undefined fractions with quadratic
Denominators
(2) Simplifying algebraic fractions
By factoring and cancelling
(3) Simplifying products of algebraic
Expressions by factoring
(4) Simplifying quotients of algebraic
Expressions by factoring
(5) Adding/Subtracting expressions with
Unlike denominators
1 day AA42
2 days AA44
1 day AA43
2 days AA43-44
9 days
1 day AA15
1 day AA16
2 days AA18
1 day AA18
2 days AA17
**************END OF COURSE********************************