Mathematics
Building Strong Foundations, One Skill at a Time
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Math is a vertically aligned subject—each concept builds upon the last, like stepping stones. That’s why a solid foundation matters so much. At Seagull Scholars, I recognize that every child’s path in math is unique. Some students are mastering grade-level skills, others need support revisiting earlier concepts, and some are ready to soar ahead and explore new challenges. No matter where your child is in their journey, I will meet them there—nurturing their confidence and helping them grow with understanding, skill, and joy.
Below, you’ll find examples of the key skills typically introduced and practiced at each grade level. These serve as a guide for what we might focus on during sessions, always personalized to fit your child’s unique needs and goals.
8th Grade
8th Grade
Rational Numbers
Operations with Rational Numbers
Properties of Exponents
Squares and Square Roots
Cubes and Cube Roots
Ration and Proportion
Simplifying Algebraic Expressions
Factorization
Division of Algebraic Expressions
Linear Equations
Simultaneous Linear Equations
Quadratic Equations
Quadrilaterals
Perimeter and Area
Volume and Surface Area
Histograms
Linear Equation Word Problems
Polynomials
7th Grade
7th Grade
Integers
Fractions and Decimals
Rational Numbers
Operations with Rational Numbers
Factors, Multiples, and Primes
Powers and Exponents
Ratio, Proportion, and Variation
Algebraic Expressions
One Variable Linear Equations and Inequalities
Lines and Angles
Triangles and Congruence
Construction of Triangles
Perimeter and Area
Surface Area and Volume
Graphs and Pie Charts
Measures of Center
6th Grade
6th Grade
Numbers up to 10 digits
Arithmetic Operations
Integers
Addition and Subtraction of Integers
Multiplication and Division of Integers
Fraction Operations
Decimal Operations
Factors, Multiples, and Primes
Exponents
Ratio, Proportion, and Unit Rates
Percentages
Simplifying Algebraic Expressions
Adding and Subtracting Algebraic Expressions
Multiplication and Division of Algebraic Expressions
One Variable Linear Equations
Lines and Angles
Triangles, Quadrilaterals, and Circles
Shapes and Symmetry
Construction of Lines and Angles
Perimeter and Area
Surface Area and Volume
Bar and Line Graphs
Pie Charts
5th Grade
5th Grade
Numbers up to 9 Digits
Arithmetic Operations
Order of Operations
Factors and Multiples
Greatest Common Factor
Least Common Multiple
Divisibility Rules
Equivalent Fractions
Addition and Subtraction with Fractions
Multiplying Fractions
Dividing Fractions
Decimals
Addition and Subtraction with Decimals
Multiplying Decimals
Dividing Decimals
Percentages
Unit Rates
Lines and Angles
Triangles, Quadrilaterals, and Circles
Perimeter, Area, and Volume
Bar Graphs and Pie Charts
4th Grade
4th Grade
Place Value, Expanded Notation
Ordering and Rounding Numbers
Multiplication and Division
Properties of Operations
Factors and Multiples
Prime Numbers
Divisibility
Representing Fractions
Equivalent Fractions
Improper Fractions and Mixed Numbers
Representing Decimals in Standard, Pictorial, and Written Form
Adding and Subtracting Decimals
Relationship between Fractions and Decimals
Time Problems
Money Problems
Lines and Angles
Measuring and Constructing Angles
Polygons and Solid Shapes
Measuring Weight and Capacity
Perimeter and Area
Pictographs, Bar Graphs and Pie Charts
3rd Grade
3rd Grade
Place Value with numbers in standard, written, and expanded form
Odd, Even, and Ordinal Numbers
Dynamic Addition and Subtraction
Mental Arithmetic
Representing Multiplication
Abstract Multiplication
Representing Division
Abstract Division
Properties of Multiplication and Division
Fractions
Time and Calendar
Money
Lines, Line Segments, and Rays
Polygons and Circles
Linear Measurement
Weight and Capacity
Pictographs and Bar Graphs
2nd Grade
2nd Grade
Place Value with Pictorial, Expanded, and Standard Form
Comparing 3-digit Numbers
Ordering 3-digit Numbers
Skip Counting with 3-digit Numbers
Odd, Even, and Ordinal Numbers
Static and Dynamic Addition and Subtraction
Mental Arithmetic
Representing Multiplication
Abstract Multiplication
Representing Division
Abstract Division
Properties of Multiplication
Time
Money
Lines and Plane Shapes
Solid Shapes
Patterns
Measurement
Bar Graphs and Pictographs
1st Grade
1st Grade
Representing and Naming Numbers
Comparing and Ordering Numbers up to 99
Expanding 3-digit Numbers
Visualization of Addition and Subtraction
Abstract Addition and Subtraction - Static
Abstract Addition and Subtraction - Dynamic
Introduction to Multiplication
Time
Money
Lines and Shapes
Plane Figures and Solids
Patterns
Introduction to Measurement
Pictographs
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