Look toward heaven and number the stars.

Math, most folks top choice for a, “least favorite,” subject. However, imagine being taught the, “why,” of mathematics as it pertains to the real-world. This class covers the basics of arithmetic, applications to life and careers, and challenges for those particularly interested in the subject. Below, you will find an outline of topics to be covered as laid out by the Board of Directors. Though traditional grade levels are not utilized at The ARC, the topics are divided thusly for easy comparison.

Exceeding abundantly above all that we ask or think.

Kindergarten

  • Counting in groups of 2, 3, 5, and 10

  • Counting beyond 20

  • Comparisons (greater than, less than, equal)

  • Patterns

  • Addition and Subtraction to 10

  • Mixed Operations

  • Positions

  • Fractions (half, third, fourth)

  • Time

  • Sorting

  • Simple Measurements

  • Looking at graphs

  • Money

  • 2 and 3 Dimensional shapes

First Grade

  • Master Counting

  • Adding and Subtracting (to 20)

  • Adding and Subtracting Strategies

  • Mixed Operations

  • Word Problems

  • Comparisons

  • Estimations

  • Place Values

  • Spatial Sense

  • Patterns

  • Looking at data and graphs

  • Measurements

    • Thermometer

    • Length and height

    • Weight

    • Using an inch ruler

  • Money

  • Probability

  • Sorting and classifying

  • 2 and 3 Dimensional Shapes

  • Fractions (half, third, fourth)

Second Grade

  • Counting using number patterns

    • Number lines

    • Odd vs. even

    • Skip counting

  • Names of numbers

    • Ordinal Numbers

    • Spelling Numbers

    • Roman Numerals

  • Patterns

  • Addition and Subtraction into 3-digit numbers

  • Mixed Operations

  • Place values

  • Estimation and Rounding

  • Logical Reasoning/Educated Guessing

  • Money

  • Time

  • Using and Creating Graphs

  • Units of Measurement

    • Choosing the right unit

    • Choosing the right tools

    • Metric vs. Standard

  • 2 and 3 Dimensional shapes

  • Geometric Measurements

  • Fractions within word problems

  • Probability

  • Multiplication and Division

Third Grade

  • Comparing numbers

  • Place Values

  • Addition, Subtraction, Multiplication, Division

  • Multiplication and Division Fluency

  • Mixed Operations

  • Equations and variables

  • Estimation and Rounding

  • Logical Reasoning/Educated Guessing

  • Money

  • Time

  • Using and creating graphs

  • Fractions (to an eighth)

    • Mixed numbers

    • Word Problems

  • Equivalent fractions

  • Operations with Fractions

  • Units of Measurement

  • 2 and 3 Dimensional shapes

  • Triangles and Quadrilaterals

  • Geometric Measurements

Fourth Grade

  • Number sense

    • Place values

    • Primes

    • Composites

    • Written numbers

    • Rounding

    • Arithmetic values of even and odd

    • Comparisons

  • Addition, Subtraction, Multiplication, Division

  • Variable Expressions

  • Coordinate Planes

  • Data and Graphing

  • Logical Reasoning/Educated Guessing

  • Patterns and Sequences

  • Money

  • Units of Measurement

  • Time

  • Fraction Equivalence and Ordering

  • Adding and Subtracting Fractions

  • Multiplying Fractions

  • Decimals

  • Adding and Subtracting Decimals

  • Statistics

  • 2-Dimensional Shapes

  • Triangles and Quadrilaterals

  • Symmetry

  • Angles

  • 3-Dimensional Shapes

  • Geometric Measurements

  • Financial Literacy

Fifth Grade

  • Place values and number sense

  • Addition, Subtraction, Multiplication, Division

  • Exponents

  • Number Theory

  • Decimals

  • Adding and Subtracting Decimals

  • Multiplying and Dividing Decimals

  • Fractions and Mixed Numbers

  • Adding and Subtracting Fractions

  • Multiplying and Dividing Fractions

  • Mixed Operations

  • Problem Solving

  • Percentages

  • Money

  • Number Sequences

  • Coordinate Plane

  • Variable Expressions

  • Data and Graphs

  • Probability and Statistics

  • Time

  • Units of Measurement

  • 2-Dimensional Shapes

  • Triangles and Quadrilaterals

  • Symmetry and Transformations

  • 3-Dimensional Shapes

  • Financial Literacy

Sixth Grade

  • Whole numbers

  • Multiplication and Division

  • Exponents

  • Number Theory

  • Decimals

  • Adding and Subtracting Decimals

  • Multiplying and Dividing Decimals

  • Fractions and Mixed Numbers

  • Adding and Subtracting Fractions

  • Multiplying and Dividing Fractions

  • Integers

  • Operations with Integers

  • Mixed Operations

  • Rational Numbers

  • Problem Solving and Estimation

  • Ratios and Rates

  • Percentages

  • Units of Measurement

  • Money

  • Consumer Math

  • Time

  • Coordinate Plane

  • Expressions and Properties

  • One-variable equations

  • One-variable inequalities

  • Two-variable equations

  • 2-Dimensional Shapes

  • Symmetry and Transformations

  • 3-Dimentional Shapes

  • Geometric Measurements

  • Data and Graphs

  • Statistics

  • Probability

  • Financial Literacy

Seventh Grade

  • Number Theory

  • Integers

  • Operations with Integers

  • Decimals

  • Operations with Decimals

  • Fractions and Mixed Numbers

  • Operations with Fractions

  • Rational Numbers

  • Exponents and Square Roots

  • Ratios, Rates, and Proportions

  • Proportional Relationships

  • Percentages

  • Consumer Math

  • Problem Solving and estimation

  • Units of Measurement

  • Coordinate Plane

  • Number Sequences

  • Expressions and Properties

  • One-variable equations

  • One-variable inequalities

  • Two-variable equations

  • Linear Functions

  • 2-Dimensional Figures

  • 3-Dimensional Figures

  • Geometric Measurement

  • Scaled Drawings

  • Transformations and Congruence

  • Pythagorean Theorem

  • Data and Graphs

  • Statistics

  • Probability

Eighth Grade

  • Number Theory

  • Integers

  • Operations with Integers

  • Exponents

  • Scientific Notation

  • Square Roots and Cube Roots

  • Rational Letters

  • Operations with Rational Numbers

  • Rational and Irrational Numbers

  • Ratios, Rates, and Proportions

  • Proportional Relationships

  • Percentages

  • Consumer Math

  • Units of Measurement

  • Problem Solving

  • Coordinate Plane

  • 2-Dimensional Figures

  • Transformations and Congruence

  • Transformations and Similarity

  • Pythagorean Theorem

  • 3-Dimensional Figures

  • Geometric Measurements

  • Number Sequences

  • Expressions and Properties

  • One-variable Equations

  • One-Variable Inequalities

  • Linear Equations

  • Functions

  • Systems of Linear Equations

  • Monomials and Polynomials

  • Data and Graphs

  • Statistics

  • Probability

Ninth Grade (Algebra)

  • Numbers and Operations

  • Ratios, Rates, and Proportions

  • Percentages

  • Measurements

  • Geometry

  • Coordinate Plane

  • Properties

  • Variable Expressions and Equations

  • Solving Linear Equations

  • Single-variable Linear Inequalities

  • Absolute Value Equations and Inequalities

  • Matrices

  • Data and Graphs

  • Problem Solving

  • Number Sequences

  • Relations and Functions

  • Direct and Inverse Variation

  • Linear Functions

  • Two-variable linear inequalities

  • Systems of Linear Equations

  • Exponents

  • Scientific Notation

  • Monomials

  • Polynomials

  • Factoring

  • Quadratic Equations

  • Functions (linear, quadratic, and exponential)

  • Absolute Value and Function Families

  • Radical Expressions

  • Radical Functions and Equations

  • Rational Functions and Expressions

  • Trigonometry

  • Sets

  • Logic

  • Probability

  • Statistics

Tenth Grade

  • Algebra Review

  • Points, lines, line segments, and planes

  • Parallel and Perpendicular Lines

  • Lines in the Coordinate Plane

  • Triangles

  • 2 and 3-Dimensional Figures

  • Logic

  • Congruent Figures

  • Transformations

  • Triangles and Quadrilaterals

  • Symmetry and Similarity

  • Pythagorean Theorem

  • Trigonometry

  • Area and Perimeter

  • Surface area and volume

  • Circles

  • Circles and Parabolas in the Coordinate Plane

  • Measurements

  • Probability

  • Vectors

Eleventh and Twelfth Grades

  • Continuation of Interest Area Mathematics

  • Financial Fluency

  • Advanced Math Options

    • Algebra 2

    • Trigonometry

    • Pre-Calculus

    • Calculus