Carol Fisher's Homepage

ALGEBRA and GEOMETRY REVIEW SCHEDULE

Throughout the year, you will go through every online Algebra I and Geometry web exercise,
to assure that your foundational skills are solid and complete.

This review work will largely be done on your own, outside of class.
Feel free to ask algebra review questions at the beginning of each class, during the time when we are going over homework questions.
(Put your question on the side board as you come in; e.g., addition concept.)
Also, you may get as much help as needed, one-on-one, outside of class.

There will be regular in-class quizzes over the algebra/geometry review material.
The points accumulated from these review exercises are a substantial part of your grade, so please take them seriously.
Not only will this review help you to do well in this course, but it is also excellent preparation for standardized tests, like the MCAS, SAT, and ACT.
Many of these review exercises will be easy points—take advantage of them!

These review exercises are a WIN-WIN situation:
ones that are difficult for you are filling in gaps in your understanding;
ones that are easy for you are building up your course grade!

HOW TO PREPARE FOR THE QUIZZES OVER THESE EXERCISES:

ALL EXERCISES ARE TO BE DONE WITHOUT A CALCULATOR,
UNLESS SPECIFIED OTHERWISE


QUIZ DATEASSIGNMENT
Friday, September 5 expressions versus sentences
expressions versus sentences, concept questions
addition, TIMED QUIZ, one full sheet (30 problems), 3 minutes
addition, concept questions
multiplication, TIMED QUIZ, one full sheet (30 problems), 3 minutes
multiplication, concept questions
Friday, September 12 divisibility
divisibility, concept questions
basic properties of zero and one
deciding if a number is a whole number, an integer, etc.
deciding if a number is a whole number, an integer, etc., concept questions
addition of signed numbers
addition of signed numbers, concept questions
Friday, September 19 subtraction of signed numbers
subtraction of signed numbers, concept questions
mixed addition and subtraction of signed numbers
fractions with a denominator of 2 to decimal form
the average of two signed numbers
the average of two signed numbers, concept questions
the average of three signed numbers
the average of three signed numbers, concept questions
Friday, September 26 identifying place values
multiplying by powers of ten
changing decimals to fractions
multiplying and dividing decimals by powers of ten
changing decimals to percents
changing percents to decimals
introduction to sets
interval and list notation
Friday, October 3 introduction to variables
reading set notation
going from a sequence of operations to an expression
going from an expression to a sequence of operations
solving simple sentences by inspection
using mathematical conventions
"undoing" a sequence of operations
Friday, October 10 solving for a particular variable
Getting bigger? Getting smaller?
scientific notation
significant figures and related concepts
rewriting fractions as a whole number plus a fraction
locating fractions on a number line
Friday, October 17 fractions involving zero
finding reciprocals
determining if a product is positive or negative
multiplying and dividing fractions
practice with the form  a(b/c)
more practice with the form  a(b/c)
renaming fractional expressions
Friday, October 24 practice with multiples
finding least common multiples
renaming fractions with a specified denominator
practice with factors
adding and subtracting fractions
adding and subtracting simple fractions with variables
divisibility equivalences
Friday, October 31 identifying inequalities as true or false
bigger, smaller, greater, lesser
practice with the phrases "at least" and "at most"
identifying inequalities with variables as true or false
solving equations of the form  xy = 0
recognizing zero and one
writing fractions in simplest form
Friday, November 7 deciding if a fraction is a finite or infinite repeating decimal
deciding if numbers are equal or approximately equal
rounding decimals to a specified number of places
Tables of Unit Conversion Information (just study this)
classifying units as length, time, volume, weight/mass
practice with unit abbreviations
practice with unit names
Friday, November 14 practice with unit conversion information
one-step conversions
multi-step conversions
rate problems
practice with exponents
practice with order of operations
basic exponent practice with fractions
Friday, November 21 practice with  xmxn = xm+n
practice with  (xm)n = xmn
practice with  xm/xn = xm-n
practice with  x-p = 1/xp
one-step exponent law practice
multi-step exponent law practice
practice with radicals
approximating radicals
Thursday, December 4 writing radicals in rational exponent form
writing rational exponents as radicals
practice with rational exponents
practice with  x  and  -x
practice with products of signed variables
practice with the distributive law
equal or opposites?
recognizing the patterns xn and (-x)n
Friday, December 12 writing expressions in the form kxn
writing more complicated expressions in the form kxn
writing quite complicated expressions in the form kxn
identifying variable parts and coefficients of terms
combining like terms
simplifying expressions like  -a(3b - 2c - d
Friday, December 19 basic FOIL
more complicated FOIL
simplifying  (a + b)2  and  (a - b)2
simplifying expressions like  (a - b)(c + d - e
practice with the mathematical words and, or, and is equivalent to
recognizing products and sums; identifying factors and terms
identifying common factors
Friday, January 9, 2009 factoring simple expressions
listing all the factors of a whole number
finding the greatest common factor of 2 or 3 numbers
finding the greatest common factor of variable expressions
factoring out the greatest common factor
practice with the Addition Property of Equality
practice with the Multiplication Property of Equality
Friday, January 16 solving simple linear equations with integer coefficients
solving more complicated linear equations with integer coefficients
solving linear equations involving fractions
solving linear equations, all mixed up
simple word problems resulting in linear equations
Friday, January 23 solving simple linear inequalities with integer coefficients
solving linear inequalities with integer coefficients
solving linear inequalities involving fractions
simplifying basic absolute value expressions
determining the sign (plus or minus) of absolute value expressions
Friday, January 30 solving simple absolute value sentences
solving sentences like 2x - 1 = ±5
additional practice
solving absolute value equations
solving absolute value inequalities involving "less than"
solving absolute value inequalities involving "greater than"
Friday, February 6 solving absolute value sentences (all kinds)
identifying perfect squares
writing expressions in the form A2
factoring a difference of squares
solving simple equations involving perfect squares
solving more complicated equations involving perfect squares
Friday, February 13 translating simple mathematical phrases
word problems involving perfect squares
basic concepts involved in factoring trinomials
factoring   x2 + bx + c,   c > 0
factoring   x2 + bx + c,   c < 0
factoring trinomials, all mixed up
Friday, February 27 identifying quadratic equations
writing quadratic equations in standard form
solving simple quadratic equations by factoring
factoring  ax2 + bx + c
solving more complicated quadratic equations by factoring
multiplying and dividing fractions with variables
Friday, March 6 adding and subtracting fractions with variables
writing expressions involving percent increase and decrease
calculating percent increase and decrease
problems involving percent increase and decrease
more problems involving percent increase and decrease
Friday, March 13 locating points in quadrants and on axes
practice with points
the Pythagorean Theorem
the distance formula
the midpoint formula
introduction to equations and inequalities in two variables
Friday, March 20 introduction to the slope of a line
practice with slope
graphing lines
finding equations of lines
point-slope form
horizontal and vertical lines
Friday, March 27 parallel and perpendicular lines
introduction to functions
introduction to function notation
more practice with function notation
domain and range of a function
Friday, April 3 Beginning Terminology, Points, Lines, and Planes
Segments, Rays, Angles
Introduction to Polygons
Introduction to Area and Perimeter
Thursday, April 9 "If ... Then ..." Sentences
Contrapositive and Converse
Proof Techniques
Postulates
Friday, April 17 More Terminology for Segments and Angles
Angles: Complementary, Supplementary, Vertical and Linear Pairs (algebraic questions)
Angles: Complementary, Supplementary, Vertical and Linear Pairs (concept questions)
Triangle Congruence
Friday, May 1 Relationships between Angles and Sides in Triangles
Exterior Angles in Triangles
Parallel Lines
Thursday, May 7 Quadrilaterals
Parallelograms and Negating Sentences
Area Formulas: Triangle, Parallelogram, Trapezoid
Friday, May 15 Similarity, Ratios, and Proportions
Perimeters and Areas of Similar Polygons
Two Special Triangles



Dr. Carol J.V. Fisher
Monterey, Massachusetts, USA