SIXTH GRADE        MATH

Course Description:  Students are to:
•    Use algebraic methods to describe patterns and simplify algebraic expressions in a variety of contexts
•    Use numbers and number relationships to solve problems
•    Use geometric properties and relations to recognize, describe and analyze shapes and representations in a variety of contexts
•    Use measurements within the metric and U.S. customary system to solve problems in a variety of contexts.
•    Use data analysis and statistics to interpret data in a variety of contexts.

RESOURCES:  Glencoe Mathematics Course 1 Textbook

I.  Math – First Nine Weeks
    A.  Review
<>        1.  Place value
<>        2.  Rounding whole numbers
<>        3.  Adding, subtracting, multiplying, and dividing whole numbers
<>
<>             B.  Review Multiplication Facts (all facts from 1-12)
             C. Number Patterns
<>        1.  Divisibility rules (2, 3, 4, 5, 6, 9, 10)
<>        2.  Prime numbers and prime factorization
<>        3.  Powers and exponents
<>        4.  One-step equations and Hands-on Equations
<>        5.  Area of rectangles
<>        6.  Order of operation
<>        7.  Algebraic expressions
<>
             D.  Statistics and Graphs
<>        1.  Frequency tables
<>        2.  Line and bar graphs
<>        3.   Spreadsheets
<>        4.   Circle graphs
<>        5.   Stem-n-leaf plots
<>        6.   Mean, median, mode, and range
<>        7.   Metric day activities
<>

II.  Math – Second Nine Weeks
             A.  Lessons 1-3, 6 from Lessons From Decimals and Percents
             B.  Decimals: Adding and Subtracting
<>        1.  Comparing and ordering
<>        2.  Rounding decimals from tenths to thousandths
<>        3.  Estimating sums and differences
<>        4.  Adding and subtracting decimal
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             C.  Decimals: multiplying and dividing
                            1.  Multiply decimals by whole numbers
                            2.  Multiply decimals by decimals
                            3.  Divide decimals by whole numbers
                            4. Divide decimals by decimals
                            5.  Perimeter of rectangles and square
                            6.  Circumference

             E.   Fractions and Decimals
                            1.  Greatest Common Factor
                            2.    Simplify fractions
                            3.    Mixed Numbers/Improper Fractions
                            4.    Least Common Multiple
                            5.    Compare and order fractions
                            6.    Fractions/Decimals
III.  Math – Third Nine Weeks
             A.   Adding and Subtracting Fractions and Mixed Numbers
                            1.    Round fractions to the nearest half
                            2.    Estimating sums and differences
                            3.    Adding and subtracting with like denominators (use Fraction Factory Pieces)
                            4.    Adding and subtracting with like and unlike denominators
                            5.    Adding and subtracting with mixed numbers
                            6.    Subtracting mixed numbers with renaming
                            7.    100th Day Activities
              B.   Multiplying and dividing fractions
                            1.    Multiply fractions
                            2.    Multiply mixed numbers
                            3.    Divide fractions
                            4.    Divide mixed numbers
                            5.    Recognize and extend sequences
              C.     Geometry and Measurement
                            1.    Classify and measure angles
                            2.    Classify supplementary and complementary angles
                            3.    Estimate angle measurements
                            4.    Determine whether figures are congruent or similar
                            5.   Length in customary systems
                            6.   Convert units of mass and capacity in customary systems
                            7.   Convert units in the metric system
                            8.    Add and subtract units of time
                            9.    Pi Day Activitites

IV.  Math – Fourth Nine Weeks
               A. Review all PASS Skills for CRT Testing
               B.  Pascal’s Triangle Project 
               C.  Integers
                            1.    Identify, graph, and compare integers
                            2.    Add integers
                            3.    Subtract integers
                            4.    Multiply and divide integers
                            5.    Coordinate plane
                D.   Ratios, Proportions, and Percents
                            1.    Ratios and rates as fractions
                            2.    Solving proportions
                            3.    Scale drawings
                            4.    Lessons 9-11 from Lessons for Decimals and Percents
                            5.    Percents/Decimals
                            6.    Percent of a number
                            7.    Estimate Percent
   

SIXTH GRADE        HONORS MATH

Course Description:  Students are to:
•    Use number properties to simplify and solve simple linear equations.
•    Use numbers and number relationships to acquire basic facts and determine the reasonableness of results.
•    Apply the properties and relationships of plane geometry in a variety of contexts.
•    Use measurement to solve problems in a variety of contexts.
•    Use probability to formulate and justify predictions from a set of data.

RESOURCES:  Glencoe Mathematics Course 2 textbook

I.  Honors Math – First Nine Weeks
    A.  Review
          1.   Place value to trillions
          2.   rounding whole numbers
          3.   decimal place value
4.   estimate by rounding
5.   compare and order decimals
6.   adding and subtracting decimals
7.   multiplying and dividing decimals
8.   powers of ten
                                  B.  Decimal patterns
                                        1.    algebraic expressions
                                        2.    powers and exponents
                                        3.    order of operations
                                        4.    one-step equations
                                        5.    sequences
                                        6.    metric conversion
                                        7.    scientific notation
                                  C.  Statistics and Data Analysis
                                        1.    frequency tables
                                        2.    line plots
                                        3.    bar graphs
                                        4.    mean, median, mode, and range
                                        5.    stem-n-leaf plots
                                   D.  Integers
                                        1.    identify integers
                                        2.    compare and order integers
                                        3.    coordinate plane
                                        4.    add integers
                                        5.    subtract integers
                                        6.    multiply  and divide integers
                                        7.    Metric Day Activities
   
       
                         II.  Honors Math – Second Nine Weeks
                                   A.  Linear equations and Functions
                                        1.    Hands-On Equations
                                        2.    expressions and equations
                                        3.    equations with adding and subtracting
                                        4.    equations  with multiplication
                                        5.    2-step equations
                                        6.    inequalities
                                        7.    graph linear equations
                                        8.    slope of a line
                                   B.  Fractions, Decimals and Percents
                                        1.    divisibility rules (2,3,4,5,6,9,10)
                                        2.    prime numbers and prime factorization
                                        3.    Greatest Common Factor
                                        4.    improper fractions/mixed numbers       
                                   C. Fractions, Decimals and Percents, cont.
                                        1.    fractions in simplest form
                                        2.    fractions/decimals
                                        3.    fractions/percents
                                        4.    percents/decimals
                                        5.    Least common Multiple
                                        6.    compare and order fractions, decimals, and percents
                         III.  Honors Math - Third Nine Weeks
                                  A.   Applying Fractions
                                        1.    Estimating fractions
                                        2.    Adding and subtracting fractions
                                        3.    Adding and subtracting mixed numbers
                                        4.    Multiplying fractions and mixed numbers
                                        5.    equations with rational solutions
                                        6.    dividing fractions and mixed numbers
                                        7.    convert in customary system
                                        8.    circumference
                                        9.    perimeter and area of rectangle
                                      10.    100th Day Activities
                                  B.   Ratios and Proportions
                                        1.    ratios as fractions
                                        2.    unit rates
                                        3.    solve proportions
                                        4.    scale drawings
                                        5.    percents/fractions
                                        6.    percents greater then 100% or less than 1%
                                        7.    percent of a number
                                        8.    percent proportion
                                  C.  Geometry
                                        1.  Classify and measure angles
                                        2.  Draw and estimate angles
                                        3.  Determine congruent and similar figures
                                  D.  Probability
                                        1.    simple events
                                        2.    tree diagrams
                                        3.    Fundamental Counting Principle
                                        4.    Permutations
                                        5.    Theoretical and Experimental Probability
                                        6.    Independent/Dependent Events
                                        7.    Pi Day Activities

                         IV.  Honors Math – Fourth Nine Weeks
                                 A.    Review all PASS Skills for CRT testing
                                 B.    Geometry
                                        1.    classify triangles
                                        2.    classify quadrilaterals
                                        3.    similar figures
                                        4.    classify polygons
                                        5.    translations
                                        6.    reflections and line of symmetry
                                B.   Applications with Percent
                                        1.  estimating percents
                                        2.    percent equation
                                        3.    using statistics to predict
                                        4.   Percent of change
                                        5.  Discounts and sales tax
                                        6.   Simple interest
                                        7.  Pascal’s Triangle Project
                                  B.  Measurement of 2-dimensional figures
                                        1.    squares and square roots
                                        2.    Pythagorean Theorem
                                        3.    area of parallelogram
                                        4.    area of triangles and trapezoids
                                        5.    area of circles
                                        6.    area of complex figures
                                        7.    probability with area models
   
                                 D.  Measuring 3-dimensional figures
                                        1.    nets with Polydrons
                                        2.    Identify 3-dimensional figures
                                        3.    Identify faces, edges and vertices
                                        4.    volume rectangular prisms
                                        5.    volume of cylinders
                                        6.    surface area of rectangular prisms
                                        7.    surface area of cylinders
                                        8.    Line design project


SEVENTH GRADE MATHEMATICS
 

Course description :  Students are to achieve proficiency in addition, subtraction, multiplication, and division of fractions and one step equations.  Emphasis is placed on  problem solving strategies, integers,  proportions , geometry  and  equations.  Concepts that are introduced include two step equations, and equations with integer solutions square roots, Pythagorean theorem, properties of addition and multiplication  and surface area of cylinders.
 

Resources:  text Glenco , workbooks, supplemental materials/supplies  such as Lola May, videos and workshop materials.

I. First Nine Weeks
    A. Problem solving strategies
    B. Use of order of operations
    C. Solving algebraic expressions
    D. Operations with decimals
        1. compare and order decimals
        2. estimate sums and differences of decimals
        3. add, subtract, multiply and divide decimals
        4. use of decimals to convert units within the metric system
    E. Number theory
        1. identify prime and composite numbers
        2. use the divisibility rules to factor numbers
        3. find the prime factors of a number
        4. find the GCF and LCM of 2 or 3 numbers
        5. compare and order fractions and decimals using common denominators
        6. identify patterns in a sequence
        7. interchange fractions and decimals
        8. find the probability of a simple event

II. Second Nine Weeks

    A. Applications with fractions
        1. interchange mixed numbers and improper fractions
        2. estimate sums and differences with fractions and mixed numbers
        3. add, subtract, multiply, and divide fractions and mixed numbers
        4. find the perimeter and  circumference
    B. Introduction to Algebra
        1. write algebraic expressions
        2. solve equations using inverse operations and addition, subtraction, multiplication, and division                 properties of equality
        3. find the area of rectangles and parallelograms
        4. introduce 2 step equations
        5. convert units in the customary measurement system

III. Third  Nine Weeks

    A. Operations with integers
        1. identify positive and negative integers
        2. compare and order integers
        3. add , subtract, multiply and divide integers using models and rules
        4. graph points on a coordinate axis
        5. introduce solving equations with integers solutions
    B. Investigating  geometric principles
        1.classify angles according to measurement
        2. measure angles using protractors
        3. identify polygons by number of sides
        4. classify triangles by sides and angles
        5. classify quadrilaterals by number of sides and parallel sides and measurement of angles
        6.  find square roots of perfect square numbers and non perfect square numbers by rounding to the                 nearest hundreth
        7. apply square root to area and perimeter of a square
        8. introduce the  Pythagorean theorem
        9. find area of triangles , trapezoids, parallelograms and circles.

IV. Fourth Nine Weeks
    A. Investigate 3 dimensional figures by using models
    B. Find surface area of prisms and cylinders
    C. Find volume of prisms and cylinders
    D. Ratio, proportion and percent
        1. identify and find ratios, rates, and  proportions
        2. scale drawings
        3. percents , fractions and decimals
    E. Applications with percent
        1. find the percent of a number
        2. find the percent of change
        3. circle graphs using percent
        4. figure discounts and sales tax
        5. using the simple interest formula
    F. Probability
        1.find the theoretical probability
        2. find the experimental probability
        3. finding the probability of two events.
 
 
 

SEVENTH AND EIGHTH GRADE                               PRE-ALGEBRA

Course Description:  In Pre-Algebra, students will learn algebraic concepts and apply them to geometry, statistics, data analysis, and probability.

Resources:  textbooks, worksheets, transparencies, and videos

I.  Pre-Algebra - First Nine Weeks
     A.  To review basic algebraic and geometric concepts
          1.  To use order of operations
          2.  To evaluate expressions containing variables
          3.  To identify properties of addition and multiplication
          4.  To use distributive property
          5.  To identify and solve open sentences
          6.  To use ordered pairs to locate points
          7.  To use inverse operations to solve equations
          8.  To write and solve inequalities
          9.  To gather and record data in frequency table or bar graph
     B.  To recognize and explore integers
          1.  Find absolute value
          2.  Explore the coordinate system
          3.  Compare and order integers
          4.  Four basic operations involving integers
          5.  To solve problems by eliminating possibilities
     C.  Solving equations and inequalities
          1.  Using addition and subtraction to solve equations
          2.  Using multiplication and division to solve equations
          3.  To solve problems using formulas
          4.  Finding area and perimeter of basic shapes
          5.  Using addition and subtraction to solve inequalities
          6.  Using multiplication and division to solve inequalities
     D.  Exploring factors and fractions
          1.  Recognizing monomials and determining factors
          2.  Simplifying powers and exponents
          3.  Solving problems by drawing diagrams
          4.  Find prime factors of composite numbers
          5.  Finding greatest common factor
          6.  Finding least common multiple
          7.  Simplifying fractions
          8.  Multiply and divide monomials
          9.  Use of negative exponents in equations
II.  Pre-Algebra - Second Nine Weeks
     A.  Using addition and subtraction with rational numbers
          1.  To identify and compare rational numbers
          2.  Adding and subtracting decimals
          3.  Adding and subtracting fractions with like denominators
          4.  Adding and subtracting fractions with unlike denominators
          5.  Solving equations using rational numbers
          6.  Solving inequalities using rational numbers
     B.  Using multiplication and division with rational numbers
          1.  Changing fractions to decimals
          2.  Multiplying fractions
          3.  Dividing fractions
          4.  Using multiplication and division with decimals
          5.  Find measures of central tendency
          6.  Solving equations and inequalities containing rational numbers
     C.  Solving multi-step equations and inequalities
          1.  Solving problems by working backward
          2.  Solving two step equations
          3.  Writing and solving two step equations
          4.  Solving equations with variables on each side
          5.  Solving multi-step inequalities
          6.  Writing and solving inequalities
III.  Pre-Algebra ? Third Nine Weeks
     A.  Functions and graphing
          1.  Using tables and graphs to represent relations and functions
          2.  Graphing linear equations
          3.  Determine whether an equation is a function
          4.  Find slope of a line
          5.  Find intercepts and graph
          6.  Graph using system of equations
          7.  Graph inequalities
     B.  Finding ratio, proportion, and percent
          1.  Write ratios as fractions in simplest form
          2.  Solve problems by making a table
          3.  Use proportion to solve problem
          4.  Use percent proportion to write fractions as percentage
          5.  Compare and change fractions, decimals, and percents
          6.  Use percent equations to solve problems
          7. Find percent of change
     C.  Finding area, surface area, and volume of geometric figures
          1.  Find area of one -dimensional shapes
          2.  Problem solving using models
          3.  Find surface area of three - dimensional figures
          4.  Find volume of three ? dimensional figures
IV.  Pre-Algebra ? Fourth Nine Weeks
     A.  Exploring polynomials
          1.  Identify and add polynomials
          2.  Subtract polynomials
          3.  Find and simplify powers of monomials
          4.  Multiply monomials by polynomials
          5.  Multiply binomials
     B.  Applying Algebra to Geometry
          1.  Find angle relationship and identify parallel lines
          2.  Identify all parts of triangle
          3.  Compare congruent triangles
          4.  Show how triangles are similar and use indirect measure
          5.  Identify quadrilaterals
          6.  Identify polygons
     C.  Apply Algebra to right triangles
          1.  Square numbers and find their square root
          2.  Use Venn diagram to solve problems
          3.  Explore real number system
          4.  Use pythagorean theorm to solve for missing sides of right triangle
          5.  Identifying properties of special right triangles
          6.  Find Sine, Cosine, and Tangent of trianles
 

Course Syllabus
Eighth Grade Math
 

Course Description:  Eighth grade math is designed for students not yet ready for Pre-Algebra.  With a smaller class size and slower pace, it gives students more time to mature mathematically.  It covers integers, statistics, geometry, fractions and real numbers. Problem Solving is included in each unit. Students taking this course will take Pre-Algebra as a freshman

 UNIT 1:       INTRO TO ALGEBRA
                     Variables and Expressions
                      Equations (Solve ? add, subtract, multiply and divide)
                     Simple Two-Step Equations
                      Inequalities
UNIT 2:         INTEGERS
                      Absolute Value
                      Comparing and Ordering
                       Add, subtract, multiply and divide
                     Cartesian coordinate system

UNIT 3:        STATISTICS
                      Histograms, Line Plots, Stem and Leaf Plots
                      Measures of Central Tendency  -  Mean, Median and Mode

UNIT 4:         GEOMETRY
                   Parallel Lines
                   Classifying Triangles, Quadrilaterals
                   Symmetry, Congruence and Similarity

UNIT 5:          PATTERNS AND NUMBER SENSE
                    Divisibility Rules, Prime Factorization
                    Greatest Common Factor
                    Least Common Multiple
                    Comparing and Ordering
                    Rational Numbers
                    Repeating Decimals
                    Scientific Notation

UNIT 6:          FRACTIONS
                    Add, subtract, multiply and divide
                    Mixed Numbers
                    Fibonacci Sequence

UNIT 7:          REAL NUMBER SYSTEM
                    Square Roots
                    Pi
                    Pythagorean Theorem
                    Special Right Triangles

UNIT 8:          RATIO AND PROPORTION
                    Ratio’s, rates and unit rates
                    Solving Proportions

UNIT 9:          PERCENTS
                    Is/of  =  P/100  or (part/whole)
                    Changing Fractions to Decimals  -  Decimals to Fractions
                    Percent of Change
                    Percent of Discount
                    Simple Interest
 

HONORS ALGEBRA I

Course Description:  Students will:
     Use expressions and equations to model number relationships.
     Use relations and functions to model number relationships.
     Use data analysis and statistics to formulate and justify predictions from a set of data.

RESOURCES:  Glencoe Mathematics Algebra 1 textbook

I.  First Nine Weeks
       A.  Language of Algebra
        1. Mathematical expressions/verbal expressions
        2. Numerical expressions/algebraic expressions
        3. Open sentences and inequalities
        4. Properties of identity and equality
        5. Distributive property
        6. Commutative and associative properties
        7. Logical Reasoning
        8. Graphs and Functions
        9. Analyze data given table and graphs
    B.  Real Numbers
        1. Graph on a number line and absolute value
        2. Add and subtract rational numbers
        3. Multiplying rational numbers
        4. Dividing rational numbers
        5. Line plots, stem-n-leaf plots, mean, median, mode
        6. Probability of a simple event and odds
        7. Square roots and ordering real numbers
    C.  Solving Linear Equations
        1.  Writing equations
        2. Equations using addition and subtraction
        3. Equations using multiplication and division
        4. Multi-step equations
        5. Equations with variables on both sides of the equations
        6. Proportions
        7. Percent of change
        8. Equations and formulas
        9. Weighted averages (mixture and uniform motion problems)
    D.  Graphing Relations and Functions
        1. Coordinate plane
        2. Reflections, translations, dilations, and rotations
        3. Relations as ordered pairs, tables, mappings, and graphs
        4. Determine range and domain
        5. Graph linear equations
       
II. Second Nine Weeks
    A. Graphing Relations and Functions, continued
        1.  Functions
        2.  Arithmetic sequences
        3.  Write equations for patterns
    B.  Analyzing Linear Equations
        1. Slope of a line
        2. Rate of change
        3. Direct variation
        4. Graph equations in slope-intercept form
        5. Write equation of a line given one point and the slope
        6. Write equation of a line given two points on a line
        7. Write equation in the slope-intercept form
        8. Write equation in the point-slope form
        9. Parallel and perpendicular lines
        10. Scatter plots and lines of best fit
C.   Solving Linear Inequalities
        1. Linear equations using addition and subtraction
        2. Linear equations using multiplication and division
        3. Linear inequalities involving more than one operation

III. Third Nine Weeks
    A.  Solving Linear Inequalities, continued
        1.  Compound inequalities containing the words “and” or “or”
        2. Absolute value equations and inequalities
        3. Graph inequalities on the coordinate plane
    B.  Solving Systems of Linear Equations and Inequalities
        1. Graphing systems of equations
        2. Solve systems of equations by substitution
        3. Solve systems of equations by elimination with addition or subtraction
        4. Solve systems of equations by elimination with multiplication
        5. Solve systems of inequalities by graphing
    C.  Polynomials
        1. Multiply monomials. Simplify expressions involving power of monomials.
        2. Divide monomials.
        3. Scientific notation/standard form
        4. Degree of polynomials
        5. Add and subtract polynomials
        6. Multiply binomials using the FOIL method
        7. Squares of sums and differences
    D.  Simplify Radical Expressions Introduction (concluded in the 4th nine weeks)
    E.  Factoring
        1. Prime factorization and GCF of integers and of monomials.
        2. Factoring polynomials using the distributive property
        3. Factoring trinomial               
IV.  Fourth Nine Weeks
    A.  Review for CRT and Algebra EOI
        1.  EOI workbook
        2. CRT sample test
    B.  Factoring, continued
        1.  Factor binomials that are the differences of squares
        2.  Factor perfect square trinomials.
    C.  Simplify Radical Expressions, continued
        1. Add and subtract radical expressions
        2. Multiply radical expressions
        3. Radical equations
        4. Pythagorean Theorem
        5. Distance Formula
        6. Similar Triangles
        7. Trig Functions