Carol Fisher's Homepage |

QUARTER | AUG | SEP | OCT | NOV | DEC | JAN | FEB | MAR | APR | MAY | JUN | TOTAL |

first | 2 | 21 | 21.5 | 44.5 | ||||||||

second | 15 | 14 | 14 | 43 | ||||||||

third | 5 | 15 | 21.5 | 3 | 44.5 | |||||||

fourth | 13 | 20 | 14 | 47 |

Algebra Table of Contents

- Introductions, syllabus, start-up
- expressions versus sentences
- addition
- multiplication
- divisibility
- basic properties of zero and one
- deciding if a number is a whole number, an integer, etc.
- addition of signed numbers
- subtraction of signed numbers

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 three signed numbers
- 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
- going from a sequence of operations to an expression

going from an expression to a sequence of operations - solving simple sentences by inspection

"undoing" a sequence of operations - solving for a particular variable
- Getting bigger? Getting smaller?
- scientific notation
- rewriting fractions as a whole number plus a fraction

locating fractions on a number line - 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

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

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

rounding decimals to a specified number of places - Tables of Unit Conversion Information

classifying units as length, time, volume, weight/mass

practice with unit abbreviations - practice with unit names

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
- practice with
*x*^{m}*x*^{n}=*x*^{m+n}

practice with (*x*^{m})^{n}=*x*^{mn} - practice with
*x*^{m}/*x*^{n}=*x*^{m-n}

practice with*x*^{-p}= 1/*x*^{p} - one-step exponent law practice
- multi-step exponent law practice
- practice with radicals
- approximating radicals
- practice with
*x*and -*x*

practice with products of signed variables - practice with the distributive law
- equal or opposites?
- recognizing the patterns
*x*^{n}and (-*x*)^{n}

- writing expressions in the form
*k**x*^{n} - writing more complicated expressions in the form
*k**x*^{n} - writing quite complicated expressions in the form
*k**x*^{n} - identifying variable parts and coefficients of terms

combining like terms - simplifying expressions like
- *a*(3*b*- 2*c*-*d*) - 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 - 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
- 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 2
*x*- 1 = ±5 - Additional Practice
- solving absolute value equations
- solving absolute value inequalities involving "less than"
- solving absolute value inequalities involving "greater than"
- solving absolute value sentences (all types)
- identifying perfect squares

writing expressions in the form*A*^{2} - 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
*x*^{2}+*b**x*+*c*,*c*> 0 - factoring
*x*^{2}+*b**x*+*c*,*c*< 0 - factoring trinomials, all mixed up
- identifying quadratic equations
- writing quadratic equations in standard form

solving simple quadratic equations by factoring - factoring
*a**x*^{2}+*b**x*+*c* - solving more complicated quadratic equations by factoring
- multiplying and dividing 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
- 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
- adding and subtracting fractions with variables
- introduction to the slope of a line
- practice with slope
- finding equations of lines
- point-slope form
- horizontal and vertical lines
- parallel and perpendicular lines
- introduction to functions
- introduction to function notation
- more practice with function notation
- Dividing polynomials by monomials
- introduction to the quadratic formula
- choosing the best method to solve a quadratic equation
- mixture problems
- work problems
- Points, Lines, and Planes
- Segments, Rays, Angles
- Introduction to Polygons
- Sum of Angles in a Triangle
- Constructions
- More Terminology for Segments and Angles
- Angles: Complementary, Supplementary, Vertical and Linear Pairs
- Triangle Congruence
- Parallel Lines
- Quadrilaterals
- Parallelograms and Negating Sentences
- Introduction to Area and Perimeter
- Area Formulas: Triangle, Parallelogram, Trapezoid
- Area of a Rhombus
- Similarity, Ratios, and Proportions
- Two Special Triangles
- Circles and related terminology (center, radius, diameter, chord, secant, tangent, concentric)
- Arcs, Central Angles, and Chords
- Inscribed Angles and Intercepted Arcs
- Arc Lengths and Areas of Sectors
- Geometric Probability
- Introduction to Solids
- Prisms
- Pyramids
- Cylinders and Cones
- Spheres
- Projections and Cross-Sections
- Reflections/Translations
- Rotations/Dilations
- Composition of Mappings
- Symmetry: Line, Point, Rotational
- Vertex-Edge Graphs
- Applications of Vertex-Edge Graphs
- basic probability concepts
- more probability concepts
- probability tree diagrams
- mean, median, and mode
- measures of spread
- graphical representations for data (scatterplot, table, line graphs)
- graphical representations for data (stem-and-leaf plots)
- graphical representations for data (box-and-whisker plots)
- lines of best fit
- First Quarter Midterm
- First Quarter Final
- Second Quarter Midterm
- Second Quarter Final
- Third Quarter Midterm
- Third Quarter Final
- Fourth Quarter Midterm
- Fourth Quarter Final
- (final exams)
- (final exams)
- (final exams)
- (final exams)

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