Jr. High Math

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