Mathematics

Swain offers an above-grade-level mathematics program with emphasis on numeracy and on mathematical relationships and order in our environment. Vocabulary and specific terminology are introduced to help students acquire ease in using the language of mathematics. Mathematical reasoning and problem-solving are emphasized as are authentic, hands-on experiences in patterning, sorting, estimation, number sense and numeration, computation, measurement, probability, fractions, two- and three-dimensional geometry, recording results and discussing strategies.

There is a strong emphasis on interactive problem-solving, which is taught through cooperative group activities and through real-life situations that arise.  All students leave 8th grade with a solid foundation of Algebra I under their belts.

All math courses are one year above grade level.  All students will have completed Algebra I in the 8th grade; some will complete Algebra II.

Preschool

• Habits of thinking and problem solving
• Counting
• Estimating
• Classifying
• Sorting
• Ordering
• Identifying numbers
• Identifying shapes

Prekindergarten

• Learning to be observant
• Sorting objects; Making patterns; Ordering objects
• Counting, numeral recognition, more/less/same, sets to 10, one-to-one correspondence
• Using different kinds of graphs
• Concepts: before/after, months, days, yesterday, today, tomorrow, sequencing events, estimation time
• Shorter, longer, taller, smaller, size sequencing
• Temperature
• Identifying penny, nickel, dime, quarter

Kindergarten

• Patterns and readiness for addition and subtraction
• Addition and subtraction facts to 12
• Geometry and fractions
• Time
• Counting to 100
• Place value, data and graphs
• Money
• Measurement and probability
• Addition and subtraction facts to 18
• Two digit addition and subtraction

Grade 1

• Addition and subtraction
• Mentally compute
• Solving story problems
• Develop math vocabulary
• Counting using 1s and 10s
• Comparing numbers
• Skip counting
• Money
• Estimation
• Solving problem stories
• Two digit addition and subtraction
• Geometry and fractions
• Time, data and graphs
• Measurement and probability
• Numbers to 100

Grade 2

• Place value and money
• Addition and subtraction number sense
• Multiplication concepts and facts
• Division concepts and facts
• Geometry and measurement
• Fractions and measurement
• Decimals and measurement
• Multiplying and dividing larger numbers
• Measurement and probability

Grade 3

• Place value and money
• Adding and subtracting whole numbers and money
• Multiplication and division concepts and facts
• Time, data, and graphs
• Multiplying by 1 digit numbers
• Multiplying and dividing by 2 digit numbers
• Geometry
• Fractions; fraction operations
• Decimals

Grade 4

• Numbers and operations
• Whole numbers and decimals
• Addition and subtraction of whole numbers and decimals
• Multiplication of whole numbers and decimals
• Algebra
• Division of whole numbers and decimals
• Data and graphs
• Probability
• Understanding fractions and mixed numerals
• Geometry
• Addition of fractions and mixed numbers
• Subtractions and mixed numerals
• Multiplication and division of fractions and mixed numerals
• Customary measurement
• Perimeter, area and volume

Grade 5

• Whole numbers and decimals
• Number theory and fractions
• Adding and subtracting fractions
• Multiplying and dividing fractions
• Ratio, proportions, percents
• Tools of geometry and measurement
• Intro to probability
• Data and graphs
• Patterns and variables
• Intro to integers
• Intro to equations & inequalities

Grade 6 Pre-Algebra

• Statistics and probability
• Patterns and investigations in algebra
• Integers and the number line
• Number theory
• Ratios, proportions and percents
• Measurements in geometry
• Introduction to 2-variable equations

Grade 7 Algebra I and I-A

• Review integers and expressions
• Functions and their graphs
• Simple equations
• Equations and inequalities
• Graphing and writing linear equations
• Quadratic equations and functions
• Exponents and exponential functions
• Right triangles
• Radical expressions
• Polynomials
• Rational expressions and functions

Grade 8 Algebra II

• Linear relationships and functions
• Systems of linear equations
• Solution methods
• Absolute value functions
• Quadratic equations and functions
• Polynomials and their functions
• Intro to exponential and logarithmic functions
• Rational functions
• Periodic functions and trigonometry
• Quadratic relations