# 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

- Red & Blue Rods
**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

- Red & Blue Rods
**Measurement**- Length
- Measures with Red Rods (measure objects in room)
- Measures with various objects

- Length
**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