Following Montessori Scope & Sequence from Montessori Compass.

Pre-Math

• Concept Development
• Understanding More, Less, Same
• Pattern Blocks
• Size Ordering
• Sorting by Size
• Counting Songs & Fingerplay
• Early counting (tap two times, jump three times)
• Cardinal and Ordinal Numbers
• Decimal System: 0-10
• Red & Blue Number Rod (Counting to 10)
• Sandpaper Numerals (Recognise numerals)
• Red & Blue Rods & Numeral Cards (Label the rods with numerals)
• Spindle Boxes
• Counts to 9
• Zero is empty
• Represent individual spindles as sets by binding each quantity together
• The Zero Game
• Memory Game of Numbers
• Numeral Cards & Counters
• Counts to 10
• 1-10 in correct sequence
• Identify odd & even numbers
• Understand & Apply Cardinal & Ordinal Numbers
• Decimal System: 1, 10, 100 and 1000
• Golden Beads: 1, 10, 100, 1000
• Numeral Cards: 1, 10, 100, 1000
• Golden Beads & Numeral Cards
• Decimal System: 1 to 9,999
• Golden Beads: 1 to 9,999 (Tray of Nines)
• Golden Bead Materials: Exchanging (Bank Game)
• Golden Beads: Zero as a placeholder
• Numeral Cards: 1 to 9999
• Golden Beads and Number Cards: Constructing Quantities
• Golden Beads: Decimal System Practice (Retrieving Quantities)
• 45 Layout (Bird’s Eye View of Place Values)
• Linear Counting: 0 to 100
• Bead Stair (Quantities and the Color) 1-10
• 10-Bead Bars & Colored  11-19 (Teen numbers concept)
• Teen Boards
• Teen Boards & Golden Beads
• Naming Tens (10-90 using golden beads)
• 11 to-99
• Patterns, Number Rolls & Skip Counting
• 100 Chain (Counting by units)
• 100 Chain (Counting by tens)
• The 100 Board
• Recognising numerals 1-100
• Recognise vertical & diagonal patterns
• 1000 Chain & Arrows
• Counting by units
• Counting by tens
• Counting by hundreds
• Number Rolls
• Writes unit, tens, hundreds, thousands
• Count by units and skip counts 2, 3, 4, 5, 6, 7, 8, 9, 10.
• Count by units and skip counts 2, 3, 4, 5, 6, 7, 8, 9, 10.
• Comparing, Rounding & Estimating Values
• Equal, Less Than, Greater Than
• Preparing & Reading Simple Bar Graphs
• Rounding to the nearest 10s, 100s, and 1000s
• Estimating Values
• Red & Blue Rods
• Sums of 5
• Sums of 10
• Adds 2 single digit number eg 4+2=6
• Adds 3 or more single digit number
• Snake Game (Sums of 10)
• Bead Houses (Various combinations for sums of 10)
• Stamp Game: Up to 4 Digit Addends
• Stamp Game: Up to 4 Digit Addends
• Memorisation of Math Facts: Addition
• Addition Charts: 1 (Control Chart)
• Addition Charts: 2 (Commutative Chart)
• Addition Charts: 3 (Finger Chart)
• Addition Charts: 4 (Half Chart)
• Addition Charts: 5 (Slide and Hop Chart)
• Addition Charts: 6 (Blank and Hop Chart)
• Even and Odds Addends (“The Odd One Out”)
• Oral Memorisation Games
• Operations: Static Subtraction
• Red & Blue Rods
• Subtracts within 5
• Subtracts within 10
• Subtract 1 single digit from another
• Golden Beads (Up to 2 & 4 Digit)
• Subtract 1 two digit number without exchanging
• Measurement
• Length
• Measures with Red Rods (measure objects in room)
• Measures with various objects
• Time and Money
• Units of Money
• Fractions
• Fractions in Everyday Life: Pizzas, Pies and Chocolate Bars
• Fraction Circles and Symbols
• Fraction Skittles and Symbols
• Fraction Notation and Language
• Fraction Circles: Recognising Equivalent Fractions
• Fraction Circles: Chart of Equivalents
• Geometry
• Geometric Cabinet: Presentation Tray
• Circles
• Rectangles
• Triangles
• Polygons
• Four Curved Shapes
• Geometric Cabinet and Matching Card Set:
• Circles
• Rectangles
• Triangles
• Polygons
• Four Curved Shapes
• Rectangle Box 1: identifying Basic Quadrilaterals
• Rectangle Box 2: Sides of Triangles and Building Figures
• Rectangle Box 2: Triangles and Constructors of Polygons
• Triangular Box: Forming Stars (12,6 and 4 points)
• Geometry: Lines and Angles
• Concept of Symmetry
• Geometry: Polygons
• Geometry Stick Box: Open/Closed Figures
• Geometry Stick Box: Convex/Concave Figures