# Curriculum Outline

The sections below outline critical topics we cover at each level.
Jump to level: 1 2 3 4 5 6 7 8

## Our Level 1 Curriculum covers these concepts

• Addition and Subtraction up to Double Digits
• Using a Number Line and an Array
• Using Symbols to Compare
• Ordering Numbers up to 100
• Adding and Subtracting up to 4 Numbers
• Fact Families
• Counting Money using Cents: Dimes, Nickles, and Quarters
• Word Problems and Bar Graphs
• Time: Whole and Half Hours
• Patterns: Adding and Subtracting from 10
• Counting Forwards and Backwards up to 100
• Counting Tens
• Shapes and Measuring using Inches and Centimeters

## Our Level 2 Curriculum covers these concepts

• Skip Counting Forward and Backwards
• Addition with Carrying Over
• Subtraction with Borrowing
• Ordinal Numbers
• Counting to Hundreds
• Comparing Hundreds
• Adding and Subtracting Hundreds and Thousands, Regrouping twice
• Multiplication on a Number Line and Multiplication by 2, 3, 4, 5, and 10
• Introducing Fractions
• Counting Money and Making Change Using More Than \$1
• Telling Time with Minutes
• Measuring Using Half Inches
• Estimating Weight
• Bar Graphs and Tally Marks
• Measuring Weight Using Pounds and Kilograms and Using Measuring Devices
• Word Problems

## Our Level 3 Curriculum covers these concepts

• Adding, Subtracting, and Comparing Thousands
• Rounding to the Tens and Hundreds
• Multiplication Two Digits
• Multiplication with Powers of Ten
• Elapsed Time with Minutes and Hours
• Measuring Capacity Using Quarts, Cups, Gallons, and Ounces
• Measuring Weight Using Pounds and Ounces
• Long Division with Remainders
• Units of Length, Converting Units
• Perimeter and Area
• Fractions, Mixed Numbers, and Decimals
• Comparing Fractions
• Probability
• Introduction to the Coordinate Grid

## Our Level 4 Curriculum covers these concepts

• Mental Addition and Subtraction of 3 and 4 digits
• Patterns and Sequences
• Place Value and Comparison up to Millions
• Rounding to Thousands
• Estimation of Addition, Subtraction, and Multiplication
• Order of Operations
• Money Operations including Discount and Tax
• 3 Digit Multiplication
• Long Division with Remainders
• Basic Algebra: Addition and Subtraction to Find the Unknown
• Time & Temperature
• Length & Unit Conversion
• Volume and Weight
• Lines, Angles, and Polygons
• Transformation, Congruency, and Symmetry
• Addition and Subtraction of Fraction and Decimals
• Probability
• Data Analysis & Graphs
• Addition and Subtraction of three or more 3 digit numbers

## Our Level 5 Curriculum covers these concepts

• Mental Math Operations and Proportions
• Elapsed Time with Minutes, Hours, Months, and Years
• Long Division with 2-Digit Divisors and Repeating
• Simplifying Fractions and Equivalence
• Adding and Subtracting Unlike Fractions
• Adding and Subtracting Mixed Fractions
• Multiplication and Division of Fractions and Decimals
• Decimal Rounding, Multiplication, and Division up to Thousandths
• Volume and Surface Area of Pyramids, Prisms, Cylinders, and Cones
• Operations with Powers of 10
• Area, Perimeter of Triangles and Polygons
• Introduction to Integers
• Ratios and Percents
• Simple Probability
• Bar Graphs
• Statistic: Mean, Median, Mode, Stem-and-Leaf Plots
• Order of Operations with Decimals, Fractions and Mixed Numbers
• Rounding and Comparing up to Ten Millions

## Our Level 6 Curriculum covers these concepts

• Exponents and Scientific Notation
• Perfect Squares and Square roots
• Percentages
• Decimal/Fractional Equivalence
• Metric Units: Weight, Length, Capacity
• Least Common Multiples and Greatest Common Factors
• Prime Numbers
• Factorization
• Special Triangles and Construction
• Statistic: Box and Whisker Plots, Histograms, Range
• Circumfrence and Area of Cirlces
• Similar Figures
• Surface Area and Volume
• Basic Operations with Integers
• Coordination
• Expressions and Equations
• Ratios, Scaling, and Proportions
• Simple and Compound Probability
• Addition Subtraction, Multiplying, Dividing, and Rounding with Decimals and Fractions

## Our Level 7 Curriculum covers these concepts

• Operations with Absolute Value
• Multiplying and Dividing Integers
• Exponents with a Negative Base
• Solving Linear Equations
• Distributive Property
• Up to 2 Step Ineqaulities with Graphing
• Slope, Intercepts, and Plotting Lines
• Slope-intercept and Point-slope Formulas
• Equations with Temperature and Speed
• Proportions and Unit Rates
• Order of Operations with Exponents, Factions, and Decimals
• Percentages with Interest and Proportions
• Bar, Circle, and Line Graphs
• Permutations and Combinations
• Independent and Dependent Events
• Parallel and Perpendicular Lines
• Bisecting Angles and Construction
• Congruency and Angle Relationships
• Area and Volume of Polygons and Circles
• Pythagorean Theorom
• Trigonometric Functions for Right Triangles
• Adding, Subtraction, Multiplying, and Factoring Polynomials

## Our Level 8 Curriculum covers these concepts

• Set Notation
• Multi-step Equations with Variables on Both Sides
• Standard Form, Point-Slope From, and Slope-Intercept Form
• Percent Change
• Solving Systems of Equations with Substitution, Combination, and Graphing
• Mixture and Uniform Motion Problems
• Graphing Functions
• Direct and Indirect Variation
• Graphing Equations with Absolute Value and Inequalities
• Compound Inequalities
• Operations with Negative Exponents
• Exponential Growth and Decay
• Special Polynomials
• Factoring with the Difference of Squares and Zero Property
• Operations with Trinomials
• Quadratic Functions: Vertex Form, the Discriminant, Solving, and Graphing
• Quadratic Inequalities
• Simplifying Rational Expressions and Complex Fractions
• Operations with Rational and Irrational Numbers
• Pythagorean Theorom
• Distance and Midpont Formulas