Sixth Grade General Math

- Place Value
- Base ten addition, subtraction, division and multiplication; area models
- Different bases
- Order of Operations
- Properties
- Distributive; Commutative; Associative
- Decimals
- Representation – expanded notation
- Modeling with base ten blocks, number lines, and set models
- Writing as fractions and percents
- Comparing, ordering, and rounding
- Adding, subtracting, multiplying, and dividing (by whole number, by decimal)
- Powers of 10 – dividing and multiplying
- Percent
- Metric System – measuring and changing unit of measure
- Powers and Exponents
- Problem Solving
- Factors
- Finding factors of a number; greatest common factor of number sets
- Area models for factor pairs
- Divisibility rules
- Multiples
- Finding multiples of a number; least common multiple of number sets
- Prime Factorization
- Finding the Square Root of a Number
- Fundamental Fraction Concepts
- Naming parts of a fraction; writing fractions
- Proper and Improper Fractions
- Equivalent Fractions
- Ratios and proportions
- Set and area models
- Comparing and ordering fractions
- Changing to mixed numbers and improper fractions
- Adding, subtracting, multiplying, and dividing fractions and mixed numbers
- Probability – experimental and theoretical
- Measurement in the customary system
- Area and perimeter
- Statistics and graphs
- Averages – mean, mode, and median

Seventh Grade General Math

- Problem Solving
- Planning, using geometric figures, using drawings, using experiments and simulations
- Guess, check, and revise
- Logical reasoning
- Looking for a pattern
- Making a table or list
- Working backwards
- Order of Operations
- Number Properties
- Distributive; Commutative; Associative
- Number Theory
- Divisibility rules
- Factors and multiples
- Prime factorization
- Great common denominator and least common multiple
- Rational Numbers
- Simplifying fractions
- Fractions as division models
- Ordering on a number line
- Mixed numbers and improper fractions
- Adding, subtracting, multiplying, and dividing
- Integers
- Plotting on a number line and a coordinate plane
- Adding and subtracting
- Algebra
- Creating tables and finding patterns
- Writing and solving equations
- Using mental math
- Using addition and subtraction
- Data Analysis
- Measures of central tendency
- Mean, mode, and median
- Frequency tables
- Graphs, histograms, box and whisker plots, scatter plots
- Appropriate and misleading graphs
- Probability – experimental and theoretical
- Ratios, Rates, and Proportions
- Solving equivalent fractions and cross products
- Writing proportions
- Similar polygons
- Percents
- Symbol form, fraction form, and decimal form
- Modeling percents
- Using mental math
- Writing very large or small percents
- The perfect equation
- Using percents to create circle graphs
- Finding simple interest
- Finding percent increase or decrease
- Geometry
- Identifying parallel lines, vertical angles, complementary, supplementary, and congruent angles
- Translations – finding coordinates of a translated figure
- Tessellations
- Finding radius, diameter, and circumference of a circle
- Area of circles, parallelograms, and trapezoids
- Radicals – perfect squares and estimating square roots
- Angles – acute, obtuse, and right
- Pythagorean Theorem
- Absolute Value – defining and graphing
- Real life application of skills

Seventh and Eighth Grade Pre-Algebra

- Patterns
- Number patterns and operations
- Powers and square roots
- Variables in expressions
- Tables and graphs
- Patterns in geometry and technology
- Number properties
- Commutative, Associative, and Distributive
- Simplifying by adding like terms
- Modeling verbal expressions
- Real-like modeling with equations
- Problem solving plan
- Variables and inequalities
- Absolute value
- Integers
- Adding, subtracting, multiplying, and dividing
- Problem solving
- Patterns in a coordinate plane
- Solving equations
- Using mental math, addition, subtraction, multiplication, or division
- Two-step and multi-step equations
- Using the distributive property
- With variables on both sides
- Using problem solving techniques and technology
- Using formulas and variables in geometry
- Data Analysis
- Pictographs, time lines, bar graphs, histograms, and line graphs
- Choosing the appropriate graph
- Recognizing misleading graphs
- Statistics – line and scatter plots
- Probability – experimental and theoretical
- Number Theory
- Divisibility rules
- Factors and primes
- Greatest common factor and least common multiple
- Simplifying and comparing fractions
- Rational numbers and decimals
- Powers and exponents
- Scientific notation
- Recognizing number patterns
- Rational numbers and percents
- Addition and subtraction or like and unlike fractions
- Writing fractions as decimals
- Multiplication and division of rational numbers
- Changing percents, decimals, and fractions
- Finding a percent of a number
- Problem solving with percents
- Proportion, percent, and probability
- Rates and ratios
- Solving proportions and percents
- Problem solving proportions and percents
- Percent increase or decrease
- Probability and simulations
- Real Numbers and Inequalities
- Square roots
- Rational and irrational numbers
- Pythagorean Theorem and problem solving
- Graphing inequalities
- Solving inequalities using multiplication and division
- Solving multi-step inequalities
- Triangle inequality
- Geometry Concepts and Spatial Thinking
- Points, lines, and planes
- Naming, measuring, and drawing angles
- Parallel lines
- Symmetry
- Triangles and quadrilaterals
- Polygons and congruence
- Angles of polygons
- Angle and side relationships
- Linear Equations
- Solving linear equations in two variables
- Graphs of linear equations
- Finding intercepts
- Slope
- Slope-Intercept form
- Using graphs of linear equations to model real-life situations
- Graphing linear inequalities
- Distance and midpoint formulas
- Real life applications of skills

Eighth Grade Algebra 1

- Solving equations
- Simple, factoring, quadratic formula, radicals, and rationals
- Word Problems
- Ratio, coin, consecutive integers; odd and even
- Solving systems of equations
- Substitution
- Addition/Linear Combination
- Graphing
- Simplification
- Order of operations
- Adding like terms
- Simple equations
- Distributive property
- Radicals
- Expanding binomials
- Other topics
- Pythagorean Theorem
- Distance between two points on a graph
- Factorials
- Sets
- Use of technology; graphing calculators
- Probability
- Data analysis; stem and leaf, box and whisker
- Radicals/Exponents
- Multiplication, division, addition, and subtraction
- Graphing on coordinate plane
- Equations; linear and quadratic
- using point and slope of lines
- Inequalities
- Rational Fractions
- Multiplication, division, addition, and subtraction
- Graphing on a number line
- Absolute value and inequalities
- Factoring
- Difference of perfect squares
- Common factors
- Trinomials
- Completing the square
- Writing equations of lines given
- Point/slope form
- Two points
- Graph
- Slope/Intercept