## Math

The diocesan mathematics curriculum is implemented at all levels using a variety of methodologies, resources and teaching styles to meet the needs of each learner. At each grade level there is an emphasis on encouraging the development of mathematical concepts and skills that can be applied to real life situations and form the basis of higher-level mathematical study and development. Kindergarten thru 6th grade participates in a computer based mathematics skill development program: Khan Academy.

Primary Grades (K-2)

__Numbers & Operations__

• Write and recite the count sequence

• One-to-one correspondence for objects

• Compare numbers and quantities

• Place value to compose and decompose numbers to 19 (kindergarten)

• Add and subtract within 10 (kindergarten)

• Add and subtract within 20 (first)

• Add and subtract within 100 (second)

__Geometry__

• Identify and describe 2 & 3 dimensional shapes

• Compare and create 2 & 3 dimensional shapes

__Measurement, Data, Probability__

• Length, area, weight & capacity of objects

• Count the number of objects in a category

• Sort objects by attributes

• Time to the hour

• Fractions : half and fourths

• Calendar basics

• Bar graphs, Tables and Pictographs

• Coin values

__Other: (first and second)__

• Fractions- ½, ¼

• Measure- inches and centimeters

• Graphing- bar, picture and circle

• Probability

• Word problems

• Money- coins

Intermediate Grades (3-5)

__Number Computation__

• Numbers, number systems and number relationships

• Computations and estimation

• Measurement and estimation

• Mathematical reasoning and connections

• Problem solving and communication

• Statistics and data analysis

• Probability and Predictions

__Algebra__

• recognize, describe, create, replicate a variety of patterns attribute, activity, number and geometric patterns

__Geometry__

• geometric shapes

Trigonometry –

• right angles

__Concepts of calculus__

• least and greatest values

• categorize rates of change as faster and slower

• continue a pattern of numbers or objects that could be extended to infinitely

• Place Value/Prime-Composite

• Addition/Subtraction/Multiplication/ Division-Whole numbers/Decimals/Fractions

• Fractions-Multiples/Greatest Common Factors

• Probability/Statistics

• Order of operations/Exponents/graphing coordinates

• Algebraic equation/expressions

• Geometry/Measurement-Area/Perimeter/Volume-Conversions

Middle School Grades (6-8)

__Math 6__

• Place Value/Prime-Composite

• Order of operations/Exponents/graphing coordinates

• Scientific Notation

• Algebraic equation/expressions

• Circumference/Surface area/Volume of prisms-cylinders

• Percent/Ratio/Proportions/ Applications/2 step algebraic/ equations/graphing functions

__Math 7&8:__

• Problem Solving

• Expressions & equations

• The Coordinate System

• Scatter Plots

• Absolute Values

• Integers

• The Distributive Property

• Proportional & Non-proportional Relationships

__Math 7:__

• Simplifying & Solving Simple Algebraic Equations

• Using Formulas

• Powers & Exponents

• Prime Factorization

• Simplifying Algebraic Fractions

• Multiplying & Dividing Monomials

• Negative Exponents

• Scientific Notation

• Converting between Fractions, Decimals, & Percentages

• Computing with Rational Numbers

• Measure of Central Tendency

• Ratios & Rates’

• Scale Drawings

• Percent Proportions & Equations

• Squares & Square Roots

• Triangles

• Pythagorean Theorem

• The Distance Formula

• Line & Angle Relationships

• Transformations on a Coordinate Plane

• Quadrilaterals & Polygons

• Area of Polygons

• Three Dimensional Figures

• Volume & Surface Area

• Stem Leaf Plots

• Box-and-Whisker Plots

__Math 8__

• Simplifying & Solving Complex Algebraic Equations

• Solving for a Specific Variable

• Weighted Averages

• Relations & Functions

• Arithmetic Sequences

• Rate of Change, Slope, Direct Variation

• Graphing & Writing Equations with Slope-Intercept Formula

• Scatter Plots & Lines to Fit

• Parallel & Perpendicular Lines

• Graphing, Solving, & Applying System of Linear Equations

• Simplifying & Solving Complex Algebraic Inequalities

• Graphing System of Linear Inequalities

• Expressions with Monomials and Polynomials

• Factoring Monomials, Binomials, & Polynomials

• Graphing & Solving Quadratic Equations

• Exponential Functions

• Growth & Decay

• Simplifying Radical Expressions

• Operations with Radical Expressions