ELEMENTARY - FOURTH THROUGH SIXTH                                  YEARS

The fourth through sixth years of the Elementary Program focuses on 5 main elements, growing each year from First through Third:


  • Math

  • Language

  • History

  • Geography

  • Science


Fundamentals of Decimal System

  • Counting 1-1,000

  • Skip Counting 1-10's with number rolls

  • Place Value up to 9,999,999

  • Hierarchy of Decimal System Material


Operations - Addition

  • Addition up to 7-digit addends static (Stamp Game, Dot Board, Small Bead Frame, Large Bead Frame, Golden Mat)

  • Addition of 7-digit addends dynamic (Stamp Game, Dot Board, Small Bead Frame, Large Bead Frame, Golden Mat)

  • Memorization of Math Facts - Addends between 1-18 (Bead Bears, Flash Cards, Games, Addition Charts, etc.)


Operations - Subtraction

  • Subtraction up to 7-digit numbers static (Stamp Game, Dot Board, Small Bead Frame, Large Bead Frame, Golden Mat)

  • Subtraction up to 7-digit numbers dynamic (Stamp Game, Dot Board, Small Bead Frame, Large Bead Frame, Golden Mat)

  • Memorization of Math Facts 1-18 (Bead Bears, Flash Cards, Games, Subtraction Charts, etc.)


Operations - Multiplication

  • Memorization of multiplication tables one through ten

  • Multiplication up to 7-digit numbers by 2-digit multiplier (Stamp Game, Small Bead Frame, Large Bead Frame, Checkerboard Golden Mat)

  • Multiplication up to 7-digit numbers by 3-digit multiplier (Stamp Game, Small Bead Frame, Large Bead Frame, Checkerboard Golden Mat)


Operations - Division

  • Memorization of Division Tables one through ten

  • Division up to a 7 digit number with a remainder (Golden Beads, Racks and Tubes, Stamp Game, Golden Mat)

  • Rules of Divisibility



  • Fraction Equivalence and Reducing Fractions

  • Fractions Addition with like and unlike Denominators (Fraction Circles, Fraction Circle Box)

  • Fractions Subtraction with like and unlike Denominators (Fraction Circles, Fraction Circle Box)

  • Fractions Multiplication (Fraction Circles, Fraction Circle Box)

  • Fractions Division (Fraction Circles, Fraction Circle Box)

  • Decimal equivalencies for regular fractions: 1/2 to 1/10


Problem Solving

  • Addition Word Problems

  • Subtraction Word Problems

  • Multiplication Word Problems

  • Multi-Step

  • Reverse Order

  • Simplify

  • Middle Answer

  • Extra Information/Missing/Extra


Money & Interest

  • Identify Units of Currency

  • Counting money

  • Making change

  • Adding, subtraction and multiplying money

  • Calculating interest for word problems



  • Tell Time on a Digital Clock

  • Tell Time on an Analog Clock

  • Able to measure length, weight, volume and temperature

  • Solve word problems involving measurements



  • Calculate distance or space in word problems

  • Calculate rate or time in word problems


Square & Cube Roots

  • Calculate the square of binomial and trinomial

  • Calculate the square root of numbers (Square Chains, Golden Beads, Table of Squares, Peg Board)

  • Calculate the cube root of numbers (Cube Chains, Golden Beads, Chart of Cube Root)



  • Solve equations and inequalities containing positive and negative numbers

  • Determining the square of two dimensional figures

  • Cubes of Equations



  • Line Graphs

  • Picture Graphs

  • Bar Graphs

  • Number Lines



  • Greater Than

  • Less Than

  • Equal to...



  • Recognition and Nomenclature of Geometric Figures - 3D

  • Lines

  • Angles

  • Can Identify Regular Polygons through the Decagon

  • Can Identify Irregular Polygons through the Decagon

  • Can Identify Quadrilaterals

  • Construction of Geometric Figures

  • Congruence, Similarity and Equivalence

  • Symmetry

  • Can Identify Triangles by Sides and Angles

  • Protractors

  • PowersSquaring: Bead Bars and Bead Cabinet

  • Cubing: Bead Bars and Bead Cabinet


  • Name, organize, and classify the components of the plant and animal kingdom

  • Understand the basic needs of animals and their place in the food chain

  • Understand an animals’ adaptation to their environment

  • Explore the vital functions of the major phyla of animals

  • Examine the vital functions of plants

  • Research human biology7 and understand the human function

  • Investigate the basic functions of life

  • Understanding the interdependencies within the different ecosystems of the natural world

  • The evolution of the solar system and planet Earth

  • Explore astronomyInvestigate the location of the earth in the universe

  • Scientific theory on the formation of the universe, galaxies, stars, and planets

  • Experiment with forces of nature

  • Explored the spectrum of electromagnetic energy

  • Define atoms and experiment with basic molecular combinations and states of matter

  • Research about individuals who have contributed to human progress

  • Using imagination and creativity to solve problems

  • Using scientific processes to investigate questions about nature

  • Demonstrating lab safety and care of materials

  • Conducting studies outside of the classroom in natural environments

  • Understanding the effect of the sin, wind, and water in the earth’s crust (erosion, seasons, currents, etc.)

  • Exploring climatic zones and biomes on Earth

  • Exploring the effects of wind currents weather on Earth’s crust and populations

  • Relationship of hydrosphere and atmosphere



  • Upper and Lower Case Cursive

  • Margins

  • Correct Spacing

  • Correct Letter Size

  • Calligraphy



  • Brainstorming for Daily Journal

  • Writing in Daily journal

  • Mastering skills of drafting, revising, editing and publishing

  • Communicating ideas through different types of writing (Reports, Instructions, Advertisements, Letters, etc.)

  • Sequence ideas, compare and contrast

  • Correct use of grammar and spelling


Speaking and Listening

  • Oral Reports

  • Public Speaking

  • Participating in Group Discussions

  • Follows Directions

  • Oral Comprehension


Word Study and Spelling

  • Utilizing phonograms, phonetics and an understanding of the English language to spell words

  • Understanding compound words, contractions, noun number, noun gender, prefixes and suffixes, and synonyms, antonyms and homonyms


Punctuation and Mechanics

  • Understanding correct usage of different punctuation

  • Periods

  • Question Marks

  • Exclamations

  • Paragraph Indentation

  • Commas

  • Quotation Marks

  • Semicolon

Grammar and Syntax

  • Identifying nouns – person, place or thing; common and proper; number; and gender

  • Use of definite and indefinite articles

  • Correct use of adjectives

  • Identify adjectives

  • Grammar Boxes (Adverb, Preposition, Conjunction, Interjection)

  • Identify function and tense of verb.

  • Identify logical relationship/agreement with noun family

  • Identify transitive and intransitive verbs, infinitive, copulative and auxiliary verbs, verb mood and voice

  • Identify function of preposition, its relationship with noun families and types of prepositions

  • Identify function of the advert and its relationship with the verb

  • Identify the function of adverbs in different classes

  • Identify the correct use of pronouns in different classes

  • Identify the correct use of the conjunction

  • Identify coordinating, subordinating, and correlative conjunctions

  • Analyze sentences and identify the above sentence parts along with indirect object and adverbial extension



  • Read interpret and draw conclusions from materials

  • Read from many different written sources (Book, basal readers, student authored materials, research reference books, poems, newspapers, etc.)

  • Word identification

  • Retell events of a story in proper order

  • Identifying Characters

  • Finding the main idea

  • Make predictions

  • Compare stories

  • Read a variety of genres

  • Students read silently, orally, and to each other

  • Using literary tools

  • Use the library

  • Report writing

  • The use of globe and map to locate major natural and man-made features

  • Examine the major cities in the world

  • Locate items using longitude and latitude

  • Understand the concepts of tome zones

  • Utilizing maps to locate and investigate political and geographic data

  • Create their own maps

  • Employ various resources to research geographical themes (atlas, computers, etc.)

  • Compare and contrast lands use and economic interdependencies of people locally and worldwide

  • Explore the significance of the appearance of humans on earth

  • Explore the relationships between humans and other living animals

  • Explore the relationship between humans and fossil hornicnids

  • Explore the evolution of humansIntroduce to the science of archaeology

  • Describe and compare lifestyles of early human cultures

  • Create a timeline showing the chronology of evolution of ancient and modern humans

  • Define civilization as an evolutionary stage

  • Explore the great civilizations

  • Explain how geographical features influence a region, a culture and a settlement

  • Explore the formation of North America

  • Explore prehistoric and historic human inhabitants of North AmericaIdentify and describe American artifacts, customs, foods, traditions, and ideas which have been inherited from other cultures

  • Identify significant scientific discoveries and inventions

  • Analyze the influence of inventions in historic periods

  • Describe and explain significant events and trends in the development of the U.S. as an independent nation

  • Examine the structure and function of the US federal government

  • Identify and describe the important national documents of the US

  • Identify the rights and responsibilities of individuals in our society and in the classroom

  • Identify individuals who made significant contributions to our society

  • Participate in democratic processes and elections and describes how policies and laws change

  • Demonstrate knowledge of significant events in the development of Pennsylvania throughout history