The third year of the Elementary Program focuses on 5 main elements, growing each year from First through Second:


  • 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)

  • Addition of Multiple Addends

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

  • Associative and Commutative Properties of Addition

  • Passage to Abstraction


Operations - Subtraction

  • Subtraction of two four-digit numbers static (Stamp Game, Dot Board, Small Bead Frame, Large Bead Frame, Golden Mat)

  • Subtraction of two four-digit numbers dynamic (Stamp Game, Dot Board, Small Bead Frame, Large Bead Frame, Golden Mat)

  • Memorization of Math Facts 1-18 (Bead Bars, Negative Snake Game, Flash Cards, Subtraction Cards, etc.)

  • Missing Subtrahend, Minuend and Difference

  • Passage to Abstraction


Operations - Multiplication

  • Multiplication of a 7-digit number by a 1-digit multiplier (Stamp Game, Small Bead Frame, Large Bead Frame, Checkerboard Golden Mat)

  • Multiplication of a 7-digit number by 2-digit multiplier (Stamp Game, Small Bead Frame, Large Bead Frame, Checkerboard Golden Mat)

  • Memorization of Math Facts Tables 1-10 (Bead Bars, Multiplication Charts, Flash Cards, Decanomial, Games, etc.)

  • Missing Factors

  • Passage to Abstraction


Operations - Division

  • Process of Division

  • Division of a 7 digit number without a remainder (Golden Bead, Stamp Game, Racks and Tubes, Golden Mat)

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

  • Division Memorization - Facts of Divisors 1 -9 (Unit Division Board, Division Chart, Flash Cards, Games, etc.)

  • Rules of Divisibility



  • Introduction to Fractions

  • Recognition of Fractions: Concrete Material and Symbol

  • Fraction Skittles

  • Fraction Circles

  • Equivalences: (Fraction Circles, Mortenson, Fraction Circle Box)

  • Count 1/2 to 1/10

  • Fractions: Addition with Like Denominators (Fraction Circles, Fraction Circle Box)

  • Fractions: Addition with Unlike Denominators (Fraction Circles, Fraction Circle Box)

  • Fractions Subtraction with Unlike Denominators (Fraction Circles, Fraction Circle Box)

  • Fractions: Multiplication (Fraction Circles, Fraction Circle Box)

  • Mixed Numbers: Reading, Addition and Subtraction (Fraction Circles, Fraction Circle Box)

  • Rounding Numbers: 1,10,100 and 1,000


Problem Solving

  • Addition Word Problems

  • Subtraction Word Problems

  • Multiplication Word Problems

  • Multi-Step

  • Reverse Order

  • Simplify

  • Middle Answer

  • Extra Information/Missing/Extra



  • Identifying Units of Currency

  • Counting Money

  • Making Change

  • Adding Money

  • Subtracting Money

  • Multiplying Money



  • Linear Measurement: Inch, Yard, and Mile

  • Liquid: Cup, Pint, Quart and Gallon

  • Dry: Tsp., Tbsp., and Cup

  • Using a Trundle Wheel

  • Weight: Ounce, Pound

  • Volume: Sensorial

  • Temperature: Fahrenheit

  • Practical Applications: Cooking and Science



  • 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

  • Powers

  • Squaring: Bead Bars and Bead Cabinet

  • Cubing: Bead Bars and Bead Cabinet



  • Area of Square

  • Area of Rectangle



  • Sensorial Volume


Decimal Fractions

  • Introduction

  • Nomenclature and Recognition of Fractions up to .9999

  • Addition of Decimals (Pegs, Abstract)

  • Subtraction of Decimals (Pegs, Abstract)

  • Multiplication of Decimals (Pegs, Abstract)




  • Five Kingdoms

  • Five Classes of Vertebrates; review of external parts: Fish, Amphibians, Reptiles, Birds and Mammals

  • Internal Anatomy of Vertebrates: Fish, Amphibians, Reptiles, Birds and Mammals

  • Continuation of Invertebrates

  • Annelids

  • Platyhelminthes

  • Aschelminthes

  • Arthropods: Insects, Crustaceans

  • Mollusks: Snail, Clam, Octopus, Squid

  • Echinoderms: Starfish, Sear Urchin, Sand Dollar

  • Defense and Camouflage

  • Animal Descriptive Stories

  • Animal Classification Charts

  • Tree of Life



  • Pollination

  • Germination

  • Photosynthesis

  • Thallophytes: Algae, Fungi, Lichen

  • Bryophytes: Liverworts, Mosses

  • Pteridophytes: Ferns, Horsetails

  • Gymnosperms

  • Angiosperms

  • Tree of Life

  • Classification Chart


Physical Science

  • Light: Eye, Color, Reflection, Refraction, Shadows, Camera, Sundial

  • Physics: Simple Machines, Technology

  • Chemistry: Freezing, Melting, Currents, Matter, Mixture, Solutions Compounds, Periodic Table

  • Sound: Ear, Vibrations, Sound Waves, Pitch, Frequency

  • Electricity: Static Electricity, Batteries, Resistance, Conductor/Insulator, Open/Closed Circuit, Series/Parallel Circuit, Magnetism

  • Energy: Types: Potential/Kinetic, Atomic/Nuclear, Mechanical, Electrical, Magnetic, Thermal, Chemical and Conservation


Note: The science curriculum follows a three-year cycle. Year one includes light and physics. Year two includes energy and chemistry. Year three includes sound and electricity.



Speaking Skills

  • Oral Reports

  • Public Speaking

  • Participating in Group Discussions


Listening Skills

  • Follows Directions

  • Oral Comprehension



  • Identifying Character's Feelings/Motives/Traits/Behavior

  • Summarizes Plot

  • Identifying Problems

  • Predictions

  • Locating the Answer

  • Getting the Facts

  • Drawing Conclusions

  • Working within Words

  • Following Directions

  • Sequencing

  • Identifying Inferences

  • Using the Context


Sentence Analysis

  • Simple and Compound Sentences



  • Upper and Lower Case Cursive

  • Margins

  • Correct Spacing

  • Correct Letter Size

  • Calligraphy

Word Attack Skills

  • Phonograms

  • Puzzle Words



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



  • Language Series

  • Chapter Books

  • Fictional and Non-Fictional

  • Read Aloud

  • Dolch/High Frequency

Word Study

  • Contractions

  • Synonyms

  • Antonyms

  • Syllabication

  • Suffixes

  • Prefixes

  • Homonyms

  • Root Words

  • Dictionary Skills

  • Thesaurus



  • Rhyming Words

  • Word Families

  • Sight Words

  • Spelling Series



  • Periods

  • Question Marks

  • Exclamations

  • Paragraph Indentation

  • Commas

  • Quotation Marks

  • Semicolon



  • Proper Nouns

  • Initial Word

  • Pronoun I

  • Proper Adjectives



  • First, Second, Third and Fourth Letter


Creative Writing

  • Journals

  • Simple and Complex Sentences

  • Friendly Letter

  • Business Letter

  • Paragraph Development

  • Writing Workshop/Editing

  • Webbing

  • Outlining



  • Paraphrasing

  • Atlas

  • Glossary

  • Index

  • Table of Contents

  • Bibliography

  • Almanac



  • Based on Units of Study in Various Curricula Areas, Vocabulary Series



Political Geography

  • The continents are studied in a 3-year cycle. Year one includes North American and Europe. Year two includes Asia, Australia and Antarctica. Year three includes South America and Africa.

  • Continents: (In-depth study of two continents per year)

  • Pin Maps (Countries, Capitals, Waterways, Geographical Features and Islands)

  • Compass Directions/Skills: N,S,E, and W, Intermediate Directions

  • Map Skills: Distance and Scale, Direction and Map Keys, Resource Maps, Landform Maps, Contour Maps, Route Maps, Grids, Equator, Prime Meridian, Hemispheres, Longitude, Latitude, Graphs, Orienteering


Physical Geography

  • The physical geography curriculum is cycled on a three year basis. Year one is the lithosphere; year two is the hydrosphere and atmosphere.

  • Lithosphere: Formation of the Earth, Earth Layers, Composition of the Earth, Earthquakes, Volcanoes, Formation of Mountains, Parts of the Crust, Composition of Rocks, Types of Rocks, What is a Rock, Rock Cycle, Minerals, Mohs Hardness Scale.

  • Atmosphere: Earth's insulation. Composition of the Atmosphere, Layers of the Atmosphere, Earth's Magnetosphere, Aurora, Electromagnetic Spectrum, Clouds, Tornadoes, Hurricanes, Precipitation, Barometer, Weather Maps, Oxygen/Nitrogen, Cycle, Wind Currents, Formation of Wind, High/Low Pressure, Wind Belts, Land Breeze, Sea Breeze, Greenhouse Effect.

  • Hydrosphere: Water Cycle, Ocean Currents, Types of Water: Freshwater and Saltwater, Acid Rain, Aquifers, Dams, Reservoirs.

  • The climates/biomes units of study are based on the continents being studied: Africa (desert); South America (rainforest); North America and Europe (temperate); and Antarctica (arctic).

  • Climates: Study relevant climates of continents being studied

  • Environments/Biomes: Study relevant climates of continents being studied


Cultural Geography

  • Needs of People: Boxes for material/spiritual needs - Shelter, clothing, transportation, self-defense, food, art, music, government, beauty, religion, holidays.