Aqeel’s Montessori Math 2018

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
    • Short Bead Chains
      • Count by units and skip counts 2, 3, 4, 5, 6, 7, 8, 9, 10.
    • Long Bead Chains
      • 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
  • Operations: Static Addition
    • 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)
    • Golden Beads (2- & 4- Digit Addends)
    • Stamp Game: Up to 4 Digit Addends
  • Operations: Dynamic Addition
    • Golden Beads (2- & 4- Digit Addends)
    • Stamp Game: Up to 4 Digit Addends
  • Memorisation of Math Facts: Addition
    • Addition Strip Board
    • 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
    • Positive (Addition) Snake Game
    • Commutative Property of Addition
    • Addition with Number Lines
    • Bead Bars: Addition of Two Addends
    • Bead Bars: Addition of Three Addends
    • Bead Bars: Solving for Missing Addends
    • Addition Bingo Games: 1-3
    • Addition Problems with Parentheses
    • Associative Property of Addition
  • 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
    • Addition: Fraction Circles
  • Geometry
    • Geometric Cabinet: Presentation Tray
    • Circles
    • Rectangles
    • Triangles
    • Polygons
    • Four Curved Shapes
    • Four Quadrilateral
    • Geometric Cabinet and Matching Card Set:
      • Circles
      • Rectangles
      • Triangles
      • Polygons
      • Four Curved Shapes
      • Four Quadrilateral
      • 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
      • Six Types of Quadrilateral
      • Regular Polygons
    • Geometry: Solid Figures
      • Geometric Solids: Plane Figures vs Solids (2D vs 3D)
      • Geometric Solids: Cube, Sphere, Cylinder, Cone
      • Geometric Solids: Cube, Sphere, Cylinder, Cone
      • Geometric Solids: Similarities/Differences
      • Geometric Solids: Constructing Solid Figures
      • Flat and Curved Surfaces