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Math 1
Skip count by 1's, 2's, 5's, and 10's, Compare and order numbers, Identify place value to 100,Identify ordinal position to tenth Identify a sorting rule,,Identify and extend patterns,,Solve routine and nonroutine problems, Master all basic addition facts and most of the basic subtraction facts Add and subtract two digit numbers without regrouping, Use comparison symbols, Picture and name fractions,Identify a fractional part of a set Measure using
inches, feet, and centimeters, Compare volume, mass, and area, Tell time to the half hour,Order events by time, Count pennies, nickels, dimes, and quarters Identify and draw polygons, Identify geometric solids, Tally,Identify events as certain, likely, or impossible Create, read, and write observations from real graphs, pictographs, and bar graphs |
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Math 2
Skip count by 1's, 2's, 3's, 4's, 5's, 10's, 25's, and 100's, Compare and order numbers Identify ordinal position to tenth, Identify sorting and patterning rules, Solve routine and non routine problems Master all basic addition and subtraction facts, Identify commutative and associative properties of addition Identify place value in a three digit number, Master multiplication facts to 5 Add and subtract two digit numbers, Picture and name fractions Measure to the nearest
half inch, centimeter, and foot, Compare volume Compare and measure mass, Measure perimeter and area, Tell time to five minute intervals Count pennies, nickels, dimes, and quarters, Show change from $1.00, Multiply by 0 Identify geometric solids, Identify lines of symmetry, Identify angles, Tally Create, read, and write observations from real graphs, pictographs, bar graphs, Venn diagrams, and line graph |
Third Grade Math:
Skip count by whole numbers, Compare and order numbers, Identify place value, Identify ordinal position to twentieth, Identify and complete patterns Solve routine and nonroutine problems, Master all basic addition, subtraction, multiplication, and division facts, Add/subtract multidigit numbers Multiply a multidigit number by a single digit number, Divide by single digit divisors, Add positive and negative numbers, Picture, name, and order fractions Add and subtract
fractions with common denominators, Measure to the nearest quarter inch, millimeter, foot, and yard Identify the volume of standard containers, Compare and measure mass, Measure perimeter and area, Tell time to the minute Determine elapsed time, Count money, Make change for a dollar, Identify angles, Identify lines of symmetry, Identify function rules Graph ordered pairs on a coordinate graph, Tally, Write addition, subtraction, multiplication, and division fact families Write story problems for addition/subtraction number
sentences Create, read, and write observations from real graphs, pictographs, bar graphs, Venn diagrams, and line graphs
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Fourth Grade Math
Read, write, compare, and order large numbers, Write numbers in expanded form and identify place value Identify prime and composite numbers, Identify perfect squares and cubes, square roots, and cube roots Approximate square root, Identify the approximate value of pi, Represent numbers using Roman numerals Identify a function rule, Simplify expressions containing exponents Label number lines using fractions, decimals, and
positive and negative numbers, Master basic addition, subtraction, and division facts Add, subtract, and multiply using mental computation, Add, subtract, and multiply multidigit numbers using algorithms Divide a multidigit number by a single digit number, Represent division remainders as fractions Represent mixed numbers as improper fractions and improper fractions as mixed numbers Add and subtract decimals, Write fractions as percents and percents as fractions Name and draw polygons and geometric solids, Identify and
draw parallel and perpendicular lines Draw lines of symmetry and reflections, Identify congruent and similar polygons Draw circles using a compass, Measure and draw angles using a protractor Identify and draw right, acute, and obtuse triangles, Measure to the nearest millimeter or sixteenth of an inch Estimate and measure distance using feet, yards, and meters, Use a scale on a map Estimate and compare the mass of objects, Find the volume of a rectangular prism Estimate and measure perimeter, circumference, and area,
Read a thermometer, Use a perpetual calendar Tell time to the second, Find elapsed time, Locate information on a table or chart Create and read bar graphs, pictographs, and line graphs, Create and read a Venn diagram Conduct a survey and represent the results, Find the mean, identify the probability of an event
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Fourth Grade Math
Read, write, compare, and order large numbers, Write numbers in expanded form and identify place value Identify prime and composite numbers, Identify perfect squares and cubes, square roots, and cube roots Approximate square root, Identify the approximate value of pi, Represent numbers using Roman numerals Identify a function rule, Simplify expressions containing exponents Label number lines using fractions, decimals, and
positive and negative numbers, Master basic addition, subtraction, and division facts Add, subtract, and multiply using mental computation, Add, subtract, and multiply multidigit numbers using algorithms Divide a multidigit number by a single digit number, Represent division remainders as fractions Represent mixed numbers as improper fractions and improper fractions as mixed numbers Add and subtract decimals, Write fractions as percents and percents as fractions Name and draw polygons and geometric solids, Identify and
draw parallel and perpendicular lines Draw lines of symmetry and reflections, Identify congruent and similar polygons Draw circles using a compass, Measure and draw angles using a protractor Identify and draw right, acute, and obtuse triangles, Measure to the nearest millimeter or sixteenth of an inch Estimate and measure distance using feet, yards, and meters, Use a scale on a map Estimate and compare the mass of objects, Find the volume of a rectangular prism Estimate and measure perimeter, circumference, and area,
Read a thermometer, Use a perpetual calendar Tell time to the second, Find elapsed time, Locate information on a table or chart Create and read bar graphs, pictographs, and line graphs, Create and read a Venn diagram Conduct a survey and represent the results, Find the mean, identify the probability of an event
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Fifth Grade Math
Math 54
Whole-number concepts and computation, Estimation, Patterns and sequences, Fractions, decimals, and mixed numbers Negative numbers, Properties of operations, Measurement, Percent,. Square roots, Statistics, Probability, Surveys Perimeter and area, Polygons, Angles, Congruence and similarity, Geometric solids, Volume Symmetry, Tessellations, Transformations, Real-world connections
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Sixth Grade Math
Math 65
Whole number concepts and computation, Patterns and sequences, Fractions, decimals, and mixed numbers Percent, Word problems, Properties of operations, Integers, Divisibility concepts, Prime and composite numbers Ratios, Square roots, Scale drawings, Measurement and unit conversion, Statistics, Probability Data display and analysis, Perimeter and area, Volume, Symmetry, Transformations, Real world connection.
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Seventh Grade Math
Math 76 reinforces the basic mathematical concepts and skills that students practiced in Math 54 and Math 65. Concepts, procedures, and vocabulary that students will need in order to be successful in upper-level algebra and geometry courses are introduced and continually practiced. Students learn to simplify expressions containing parentheses as the first step to solving multi-step equations. They are introduced to exponents; square roots;
geometric formulas; and adding, subtracting, multiplying, and dividing signed numbers. Math 76 students work extensively with ratios, percentages, fractions, mixed numbers, and decimals.
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Eight Grade Math
Math 87 is a transition program for students who have completed Math 76 but are not ready to enroll in prealgebra. Basic mathematical concepts and skills are reviewed and reinforced. Concepts, procedures, and vocabulary needed to succeed in upper-level mathematics courses are introduced and developed incrementally with continual practice. Math 87 includes the study of fractions,
decimals, percents, and ratios; perimeter, circumference, area, and volume; exponents; scientific notation; and signed numbers. Students continually practice problem-solving techniques through word problems.
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Algebra 1/2
Algebra 1/2 is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. Algebra 1/2 covers all topics normally taught in pre-algebra, as well as additional topics from geometry and discrete mathematics. It is recommended for seventh-graders who plan to take first-year algebra inthe eighth grade, or for eighth-graders who plan to take first-year algebra in the ninth grade. Algebra 1/2
represents the culmination of the study of pre-algebra mathematics.
- fractions and their arithmetic operations
- decimals and their arithmetic operations
- mixed numbers and their arithmetic operations
- signed numbers and their arithmetic operations
- translating from words to algebraic expressions
- order of operations
- percents
- proportions
- ratios
- divisibility
- rounding
- place value
- unit conversions
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- scientific notation
- data representation
- evaluation of algebraic expressions
- the simplification of algebraic expressions
- the solution of linear equations in one unknown
- word problems involving pre-algebraic concepts
- perimeter
- area
- surface area
- volume
- classification of geometric figures and solids
- geometric constructions
- symmetry
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| Algebra I
Algebra 1 is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. Algebra 1 covers topics typically treated in a first-year algebra course.
Algebra 1 includes such topics as:
- arithmetic and evaluation of expressions involving signed numbers, exponents, and roots
- properties of real numbers
- absolute value
- equations and inequalities involving absolute value
- scientific notation
- unit conversions
- solution of equations in one unknown
- solution of simultaneous equations
- the algebra of polynomials and rational expressions
- word problems requiring algebra for the solution (such as uniform motion and coin problems)
- graphical solution of simultaneous equations
- graphs of a variety of functions: linear, quadratic, cubic, square root, absolute value, etc.
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- translations and reflections of graphs
- factoring
- Pythagorean theorem
- algebraic proofs
- functional notation and functions
- solution of quadratic equations by factoring, completing the square, and quadratic formula
- direct and inverse variation
- exponential growth
- computation of the perimeter and area of two-dimensional regions
- computation of the surface area and volume of a wide variety of geometric solids
- statistics
- probability
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Algebra II
Algebra 2 is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. Lesson reference numbers are included with the Daily Problem Sets, identifying lessons students can review if they have difficulty in solving the problems. Algebra 2 not only treats topics that are traditionally covered in second-year algebra, but also covers a considerable amount of geometry. Time is
spent developing geometric concepts and writing proof outlines. Students completing Algebra 2 will have studied the equivalent of one semester of informal geometry. Applications to subjects such as physics and chemistry, as well as real-world problems, are also covered. The Test Masters include complete solutions for all tests, and solutions for all practice problems are included in the Solutions Manual.
Algebra 2 includes such topics as:
- graphical solution of simultaneous equations
- basic trigonometric functions
- scientific notation
- radicals
- conic sections
- roots of quadratic equations, including complex roots
- properties of real numbers
- geometric proofs
- factoring
- inequalities and systems of inequalities
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- logarithms and antilogarithms
- exponential equations
- algebra of polynomials
- vectors
- algebraic word problems
- gas law
- set theory
- probability
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Advanced Mathematics
Advanced Mathematics is made up of five instructional components: Introduction of the New Increment, Examples with complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. In Advanced Mathematics, topics from algebra, geometry, trigonometry, discrete mathematics, and mathematical analysis are interwoven to form a fully integrated text. A rigorous treatment of Euclidean geometry is also presented. Word problems are developed throughout the problem sets and become
progressively more elaborate. With this practice, students will be able to solve challenging problems such as rate problems and work problems involving abstract quantities. The graphing calculator is used to graph functions and perform data analysis. Conceptually-oriented problems that prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets. Advanced Mathematics includes such topics as:
- permutations and combinations
- trigonometric identities
- inverse trigonometric functions
- conic sections
- graphs of sinusoids
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- rectangular and polar representation of complex numbers
- De Moivre's theorem
- matrices and determinants
- the binomial theorem
- the rational roots theorem
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| Calculus is made up of four instructional components: Introduction of the New Increment, Examples With Complete Solutions, Daily Problem Set, and Cumulative Tests. Calculus covers all topics in the Advanced Placement Calculus AB and Calculus BC syllabi. The instruction takes full advantage of graphing calculators, using them for visual demonstrations of concepts and confirming calculations.
Calculus includes such topics as:
- review of functions
- review of trigonometry
- limits
- graphing calculators
- derivatives
- integrals
- optimization problems
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- techniques of integration
- polar functions
- area between two curves
- inverse functions
- motion analysis
- applications of integrals
- solids of revolution
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