Throughout the year, you will go through every online Algebra I, Geometry, and Algebra II 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 review questions during class:
however, due to time constraints, we cannot devote much in-class time to this material.
You may get as much help as needed, one-on-one, outside of class.
There will be regular in-class quizzes over this 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 SAT and ACT.
Many of these review exercises will be easy points—take advantage of them!
QUIZ DATE | ASSIGNMENT |
Friday, September 5 |
expressions versus sentences
expressions versus sentences, concept questions
addition: timed quiz, one full sheet (30 problems), 2 minutes 30 seconds
addition, concept questions
multiplication: timed quiz, one full sheet (30 problems), 2 minutes 30 seconds
multiplication, concept questions
divisibility
divisibility, concept questions
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Friday, September 12 |
♥ 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
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
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Friday, September 19 |
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
♥ introduction to variables
♥ reading set notation
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Friday, September 26 |
♥ 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
♥ 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
fractions involving zero
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Friday, October 3 |
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
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
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Friday, October 10 |
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
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
practice with unit conversion information
one-step conversions
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Friday, October 17 |
multi-step conversions
rate problems
practice with exponents
practice with order of operations
basic exponent practice with fractions
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
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Friday, October 24 |
♥ practice with radicals
♥ approximating radicals
♥ 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
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)
basic FOIL
more complicated FOIL
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Friday, October 31 |
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
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
solving simple linear equations with integer coefficients
solving more complicated linear equations with integer coefficients
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Friday, November 7 |
♥ solving linear equations involving fractions
♥ solving linear equations, all mixed up
♥ simple word problems resulting in linear equations
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
solving simple absolute value sentences
solving sentences like 2x - 1 = ±5
solving absolute value equations
solving absolute value inequalities involving "less than"
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Friday, November 14 |
solving absolute value inequalities involving "greater than"
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
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
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Friday, November 21 |
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
♥ adding and subtracting fractions with variables
writing expressions involving percent increase and decrease
calculating percent increase and decrease
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Thursday, December 4 |
problems involving percent increase and decrease
more problems involving percent increase and decrease
locating points in quadrants and on axes
practice with points
♥ the Pythagorean Theorem
♥ the distance formula
♥ the midpoint formula
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Friday, December 12 |
introduction to equations and inequalities in two variables
introduction to the slope of a line
practice with slope
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Friday, December 19 |
graphing lines
finding equations of lines
♥ point-slope form
♥ horizontal and vertical lines
♥ parallel and perpendicular lines
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Friday, January 9, 2009 |
introduction to functions
introduction to function notation
♥ more practice with function notation
♥ domain and range of a function
♥ Beginning Terminology, Points, Lines, and Planes
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Friday, January 16 |
♥ Segments, Rays, Angles
♥ Introduction to Polygons
♥ Introduction to Area and Perimeter
♥ "If ... Then ..." Sentences
♥ Contrapositive and Converse
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Friday, January 23 |
♥ Proof Techniques
♥ Postulates
♥ More Terminology for Segments and Angles
♥ Angles: Complementary, Supplementary, Vertical and Linear Pairs (algebraic questions)
♥ Angles: Complementary, Supplementary, Vertical and Linear Pairs (concept questions)
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Friday, January 30 |
♥ Triangle Congruence
♥ Relationships between Angles and Sides in Triangles
♥ Exterior Angles in Triangles
♥ Parallel Lines
♥ Quadrilaterals
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Friday, February 6 |
♥ Parallelograms and Negating Sentences
♥ Area Formulas: Triangle, Parallelogram, Trapezoid
♥ Similarity, Ratios, and Proportions
♥ Perimeters and Areas of Similar Polygons
♥ Two Special Triangles
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Friday, February 13 |
♥ introduction to recursion and sequences
♥ arithmetic and geometric sequences
♥ loans and investments
♥ the compound interest formula
♥ graphs of functions
♥ basic models you must know
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Friday, February 27 |
♥ graphical interpretation of sentences like f(x) = 0 and f(x) > 0
♥ graphical interpretation of sentences like f(x) = g(x) and f(x) > g(x)
♥ composition of functions
♥ advanced set concepts
♥ basic probability concepts
♥ more probability concepts
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Friday, March 6 |
♥ probability tree diagrams
♥ choosing things: does order matter?
♥ factorial notation
♥ combinations and permutations
♥ summation notation
♥ mean, median, and mode
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Friday, March 13 |
♥ measures of spread
♥ introduction to systems of equations
♥ solving systems using substitution
♥ solving systems using elimination
♥ simple word problems resulting in a system of equations
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Friday, March 20 |
♥ introduction to matrices
♥ basic arithmetic with matrices
♥ multiplying matrices
♥ vertical and horizontal translations
♥ vertical and horizontal scaling
♥ reflecting about the x and y axes; the absolute value transformation
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Friday, March 27 |
♥ geometric transformations: all mixed up
♥ parabolas
♥ equations of simple parabolas
♥ quadratic functions and the completing the square technique
♥ algebraic definition of absolute value
♥ the quadratic formula
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Friday, April 3 |
♥ complex numbers
♥ arithmetic with complex numbers
♥ equations of circles
♥ introduction to logarithms
♥ properties of logarithms
♥ change of base formula for logarithms
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Thursday, April 9 |
♥ introduction to logarithmic functions
♥ introduction to exponential functions
♥ introduction to polynomials
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