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Addition Components of an addition equation

Addend + addend = sum

Using Addition Control Chart 1

Essential Combinations

Adding with Zero

Doubling Addends

Using Addition Chart 3

Using Addition Chart 5

Bingo Game with Addition Chart 6

Oral Games to Memorise Addition Facts

Learning about the basic formats of addition

Addition Snake Game

Subtraction Components of a subtraction equation

Minuend – subtrahend = difference

Using subtraction Strip board

Using Subtraction Chart 2

Bingo Game with Subtraction Chart 3

Mathematics

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Oral Games to Memorise Subtraction Facts

Learning about Basic Formats for Subtraction

Subtraction Snake Game

Multiplication Components of a subtraction equation

Multiplicand x multiplier = product

Using the Multiplication Bead Board

Finding Combinations of Numbers on the Multiplication Bead Board

Using Multiplication Chart 3



Oral Games to Memorise Multiplication facts

Learning about the Basic Formats of Multiplication

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Skip counting Using the Short Bead Chains

Skip counting using the Long Bead Chains

Building the Decanomial

Building the Decanomial Diagonally

Multiplying by 10

Division Components of a subtraction equation

Dividend ÷ divisor = quotient

Using the Unit Division Board

Using Division Control Chart 1

Using Division Chart 2

Oral Games to Memorise Division Facts

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Learning about the Basic Formats of Division

Finding Multiples Using Coloured Bead Bars

Learning about Multiples Using the Algebraic Pegboard

Finding the Lowest Common Multiple Using the Algebraic Pegboard

Graphing Multiples on the Chart of Multiples

Learning About Multiples using the Multiples Tables

Learning about Prime Numbers Using Multiples Table C

Learning about Factors Using the Algebraic Pegboard

Identifying Prime Factors

Identifying Prime Factors Using the Algebraic Pegboard


Building Lowest Common Multiples from Prime Factors Using the Algebraic Pegboard

Using Prime Factors to Find Lowest Common Multiples and Greatest Common Factors

Long Division Notation

Doing Division with the Golden beads

Practicing Division with the Golden Bead Material

Dividing a 3-Digit Dividend by a 2-Digit Divisor with the Golden Bead Material

Learning About Geometric Representation to 1,000,000

Learning about Numerals to 1,000,000

Exploring the Small Bead Frame

Using the Small Bead Frame and Notation Paper

Adding with the Small Bead Frame Adding with Exchanging, Using the Small Bead Frame

Subtracting Using the Small Bead Frame Subtracting with Exchanging, Using the Small Bead Frame Multiplying with the Small Bead Frame

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Exploring the Large Bead Frame

Using the Large Bead Frame and Notation Paper

Multiplying with the Large Bead Frame

Exploring the Flat Bead Frame

Multiplying by a 1-Digit Multiplier Using the Flat Bead Frame Multiplying by a 2-Digit Multiplier Using the Flat Bead Frame

Exploring the Checkerboard

Multiplying by a 1-Digit Multiplier Using the Checkerboard

Multiplying by a 2-Digit Multiplier Using the Checkerboard

Drawing Using the Checkerboard

Multiplying a 4-Digit Number by a 1-Digit Multiplier Using the Bank Game

Exploring the Long Division Material

Dividing by 1-Digit Numbers Without Remainders Using the Long Division Material

Dividing by 1-Digit Numbers With Remainders Using the Long Division Material Dividing by 2-Digit Numbers Using the Long Division Material

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Fraction Circles – sensorial exploration

Understanding the Concept of Fractions

Introducing Fractions Using

the Fraction Circles

Putting Fractions in Order from a Whole to Tenths

Matching Fractions from a Whole to One Tenth

Common Fractions numerator 1 fractus --- denominator 3

Understanding Written Fractions

Matching Fraction Tickets to

Fraction Circles

Constructing Fractions to Match Fraction Tickets

Finding Equivalences of Fractions

Adding Fractions with the Same Denominator That Add

Up to One or Less

Adding Fractions with the Same Denominator That Add

Up to More than One

Introduction to Adding Fractions with Different

Denominators

Subtracting Fractions with the Same Denominator

Introduction to Subtracting Fractions with Different

Denominators

Multiplying Fractions by Whole Numbers

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Dividing Fractions by Whole Numbers

Dividing Fractions by Whole

Numbers when Equivalent Fractions Must Be Made

First

Constructive triangles – sensorial exploration

Geometric Presentation Tray – sensorial exploration

Geometric solids – sensorial exploration

Reviewing Shapes with Demonstration Tray

Working with Geometric Cabinet

Traingles

Rectangles

Regular Polygons

Circles

Quadrilaterals

Curved Figures

Exploring Shapes with the Geometric Form Cards

Reviewing Shapes with the Constructive Triangles

Introducing Similar,

Congruent, and Equivalent Shapes with the

Constructive Triangles

Learning the Concept of Point, Line, Plane, And Solid

Learning about Straight and Curved Lines

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http://www.google.co.uk/imgres?start=121&um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=fMN0UOKrKs3B9M:&imgrefurl=http://malawimontessoriproject.org/?m=201105&docid=mjpFSvPqrAaBnM&imgurl=http://malawimontessoriproject.org/wp-content/uploads/2011/05/HPIM3360-300x225.jpg&w=300&h=225&ei=wToeUKa9O82Z0QXz-IGoCQ&zoom=1&iact=hc&vpx=340&vpy=83&dur=2534&hovh=180&hovw=240&tx=138&ty=154&sig=117321849375163490908&page=6&tbnh=132&tbnw=193&ndsp=26&ved=1t:429,r:1,s:121,i:92


Studying the Parts of a Line

Learning about Horizontal, Vertical and Oblique Lines

Geometry Sticks

Understanding the Relationship Between Lines:

Parallel, Divergent, and Converget Lines

Understanding the Relationship Between Lines: Intersecting, Perpendicular,

And Oblique Lines

Learning About an Angle and its Parts

Learning Five Types of

Angles

Learning to Measure Angles

Montessori Protractor

Making Open and Closed Figures

Learning the Difference Between Close Curved

Figures and Polygons

Studying Irregular Polygons

Studying Regular Polygons

Learning Some Closed

Curved Figures

Circle

Ellipse

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=8sM_3xR9n2VHBM:&imgrefurl=http://montessorispanish.blogspot.com/2009/04/geometry-training-geometry-stick-box.html&docid=KZCDgt9dLeRZqM&imgurl=http://3.bp.blogspot.com/_8nLmOc2DKGw/SeENR_Hk3mI/AAAAAAAAAr4/MaOjc9Fof60/s320/measuring+angle.jpg&w=320&h=240&ei=6jweUPWACILQ0QWV0IDgBg&zoom=1&iact=hc&vpx=1044&vpy=144&dur=1083&hovh=192&hovw=256&tx=95&ty=119&sig=117321849375163490908&page=1&tbnh=126&tbnw=174&start=0&ndsp=19&ved=1t:429,r:5,s:0,i:85

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=1VcAVGaFOiGIpM:&imgrefurl=http://homeschoolescapade.blogspot.com/2011/02/geometric-stick-lessons-polygons.html&docid=7XbVm9fE9t4Y9M&imgurl=http://1.bp.blogspot.com/_kTfW4ACkxBc/TVAvQtzSCQI/AAAAAAAAAHI/LSl6RjXXJds/s1600/v+day+019.JPG&w=1600&h=1200&ei=uz8eUJH3GcPU0QX6jIHoDw&zoom=1&iact=hc&vpx=1050&vpy=142&dur=1219&hovh=194&hovw=259&tx=127&ty=85&sig=117321849375163490908&page=1&tbnh=123&tbnw=160&start=0&ndsp=21&ved=1t:429,r:6,s:0,i:88

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=8ISL4ti2vCce9M:&imgrefurl=http://makingmontessoriours.blogspot.com/2011/11/little-montessori-geometry.html&docid=Q30kd509V3esQM&imgurl=http://1.bp.blogspot.com/-s9RGjLJdyUs/TsWdCjl084I/AAAAAAAACJg/Hrik1TxvBGI/s1600/DSCN2592.JPG&w=1600&h=1200&ei=ej8eUO2bJ4jT0QW-2oDICQ&zoom=1&iact=hc&vpx=1044&vpy=53&dur=5289&hovh=194&hovw=259&tx=151&ty=93&sig=117321849375163490908&page=1&tbnh=126&tbnw=172&start=0&ndsp=19&ved=1t:429,r:18,s:0,i:126

http://www.nienhuis.com/en/geometric-inset-circle-90-mm-1.html


Ovoid

Quatrefoil

Curvilinear Trinagle

Learning the Parts of a Circle

centre, arc, circumference, chord, diameter, radius

Learning the Parts of a Triangle

sides, vertex/vertices, angles, base, perimeter, area

Classifying Triangles by Their Sides

Classifying Triangles by Their Angles

Building Equilateral, Isosceles, and Scalene

Triangles

Building Right, Obtuse, and Acute Triangles

Classifying Triangles by Sides and Angles: The Seven Types

of Triangles in the World

Studying the Sides of a Right Triangle

Equilateral Triangle

Right Angled Scalene Traingle

Right Angled Isosceles Triangle

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=6-tMiYk3voSR0M:&imgrefurl=http://homeschoolescapade.blogspot.com/2011_02_01_archive.html&docid=3cmkJLvgqSNqLM&imgurl=http://3.bp.blogspot.com/-HrNRBzdeWGo/TWVksTSB7lI/AAAAAAAAALY/q3oXdrXE7SI/s1600/035.JPG&w=1600&h=1200&ei=G0MeUKSAEejL0QX7-oDYCg&zoom=1&iact=hc&vpx=509&vpy=145&dur=928&hovh=194&hovw=259&tx=149&ty=94&sig=117321849375163490908&page=1&tbnh=129&tbnw=167&start=0&ndsp=21&ved=1t:429,r:3,s:0,i:79

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=ovYjbs_LORF2QM:&imgrefurl=http://thelearningark.blogspot.com/2009_11_01_archive.html&docid=oWkUf62KvlKnzM&imgurl=http://3.bp.blogspot.com/_IYE9lO9IKj8/SwbpNFY--lI/AAAAAAAAAfk/J_b-iVjJ0HQ/s1600/november+09+012.JPG&w=1600&h=1200&ei=q0MeUPnlAaem0QW5g4CQDw&zoom=1&iact=hc&vpx=1048&vpy=242&dur=1190&hovh=194&hovw=259&tx=128&ty=114&sig=117321849375163490908&page=2&tbnh=133&tbnw=164&start=18&ndsp=28&ved=1t:429,r:6,s:18,i:147

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=BQmZlJGlgFOMaM:&imgrefurl=http://theadventuresofbear.blogspot.com/2010/09/preschool-wrap-up-week-4.html&docid=SK_irvPXsQ3p2M&imgurl=http://2.bp.blogspot.com/_6690VNY9Tt4/TJP9iTMzYkI/AAAAAAAAIQs/B65B321C6Dk/s1600/CIMG4060.JPG&w=640&h=480&ei=gkQeUITeH6eb1AXfqYHACA&zoom=1&iact=hc&vpx=846&vpy=146&dur=5354&hovh=194&hovw=259&tx=147&ty=111&sig=117321849375163490908&page=1&tbnh=132&tbnw=182&start=0&ndsp=18&ved=1t:429,r:4,s:0,i:82

http://www.nienhuis.com/en/geo-inset-right-angled-scalene-triangle-1.html

http://www.nienhuis.com/en/geo-inset-right-angled-isosceles-triangle-1.html


Obtuse Angled Isosceles Triangle

Acute Angled Isosceles Triangle

Acute Angled Scalene Triangle

Obtuse Angled Scalene Triangle

Combining Triangles to Make Stars

Combining Triangles to Make Diaphragms

Combining Triangles to Make Different Figures

Learning the Types of

Quadrilaterals

Trapezoid

Parallelogram

Rhombus

Rectangle

Square

Kite

Making Quadrilaterals with Geometry Sticks

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=Pl2rhYeRM7Qg_M:&imgrefurl=http://www.jojoebi-designs.com/2011/02/blue-constructive-triangles-not-as-easy.html&docid=yffIB_ZZk-RlTM&imgurl=http://3.bp.blogspot.com/_iCUc5aO8dmM/TUdIUC42VHI/AAAAAAAAGS4/gdMIy4LP_u4/s1600/constructive+triangles.jpg&w=709&h=531&ei=h0UeUNPADo200QWrnYGYBQ&zoom=1&iact=hc&vpx=277&vpy=265&dur=1425&hovh=194&hovw=259&tx=169&ty=106&sig=117321849375163490908&page=1&tbnh=132&tbnw=173&start=0&ndsp=20&ved=1t:429,r:8,s:0,i:95

http://www.google.co.uk/imgres?start=126&um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=lJ6pHKXyq-gymM:&imgrefurl=http://omsdaily.blogspot.com/2012/01/friday-january-13-2012.html&docid=bRWQhAlqsHJFiM&imgurl=http://4.bp.blogspot.com/-w7bKfO368nI/TxCQYPX_E6I/AAAAAAAAAbI/t38x_kjlqKk/s1600/IMG_3063.JPG&w=1024&h=752&ei=jkUeUNmSGoeW0QWIk4HYBg&zoom=1&iact=hc&vpx=697&vpy=139&dur=622&hovh=192&hovw=262&tx=125&ty=112&sig=117321849375163490908&page=6&tbnh=136&tbnw=181&ndsp=28&ved=1t:429,r:11,s:126,i:200

http://www.google.co.uk/imgres?um=1&hl=en&biw=1366&bih=614&tbm=isch&tbnid=eRo2-s7QipAKoM:&imgrefurl=http://www.polestarmontessori.com/Blue_Constructive_Triangles.html&docid=Yt4jtPcoYA3XTM&imgurl=http://www.polestarmontessori.com/Blue_Constr_Tri1.jpg&w=381&h=287&ei=h0UeUNPADo200QWrnYGYBQ&zoom=1&iact=hc&vpx=863&vpy=304&dur=1195&hovh=195&hovw=259&tx=145&ty=120&sig=117321849375163490908&page=1&tbnh=127&tbnw=169&start=0&ndsp=20&ved=1t:429,r:18,s:0,i:126

http://www.google.co.uk/imgres?start=120&um=1&hl=en&sa=N&biw=1366&bih=614&tbm=isch&tbnid=-QY4X4sb4EWrBM:&imgrefurl=http://pinterest.com/tamaro606/montessori-3-6-sensorial/&docid=ry_0akwt_6XpzM&imgurl=http://media-cache-ec6.pinterest.com/upload/79938962106155256_d2Ix1aqu_b.jpg&w=191&h=271&ei=PkweUMr2FKqN0wX654HgBg&zoom=1&iact=hc&vpx=715&vpy=283&dur=3818&hovh=216&hovw=152&tx=122&ty=130&sig=117321849375163490908&page=6&tbnh=138&tbnw=97&ndsp=27&ved=1t:429,r:10,s:120,i:120


Learning that Triangles Combine to Make

Quadrilaterals

Seeing How Many Quadrilaterals the Various

Triangles Can Form

Making Figures Using the Reverse Side of Triangles

Learning About Regular Many-Sided Polygons

Pentagon

Hexagon

Heptagon

Octagon

Nonagon

Decagon

Forming Regular Many-Sided Polygons

http://www.google.co.uk/imgres?um=1&hl=en&sa=N&biw=1366&bih=614&tbm=isch&tbnid=r2GsM-N_5qIHjM:&imgrefurl=http://www.montessoriworld.org/sensfile/sconstr.html&docid=_cKMNVRFK1sP6M&imgurl=http://www.montessoriworld.org/sensfile/contrian.JPG&w=252&h=216&ei=KEweUPWICaOn0QX56IGADA&zoom=1&iact=hc&vpx=527&vpy=299&dur=1336&hovh=172&hovw=201&tx=117&ty=78&sig=117321849375163490908&page=1&tbnh=127&tbnw=148&start=0&ndsp=18&ved=1t:429,r:8,s:0,i:98

http://www.google.co.uk/imgres?start=200&um=1&hl=en&sa=N&biw=1366&bih=614&tbm=isch&tbnid=2fysc6ntWpyH_M:&imgrefurl=http://tothelesson.blogspot.com/2011/03/all-in-weeks-time.html&docid=5Y1Qsg68grA4MM&imgurl=https://lh4.googleusercontent.com/-_qr82SAtWLw/TYD6Th2dv6I/AAAAAAAAAIY/IwMVLTo9svg/DSC00734.JPG&w=1600&h=1460&ei=00weUKjOB_K10QX04ICoCw&zoom=1&iact=hc&vpx=318&vpy=167&dur=553&hovh=214&hovw=235&tx=154&ty=128&sig=117321849375163490908&page=9&tbnh=130&tbnw=168&ndsp=27&ved=1t:429,r:22,s:200,i:158


Reviewing the Geometric Solids

Sphere

Ovoid

Cone

Cube

Square-Based Prism

Triangular-Based Prism

Square-Based Pyramid

Triangular-Based Pyramid

Cylinder

Ellipsoid

Geometric Solids Activity Set

http://www.nienhuis.com/en/sphere-includes-clear-stand.html

http://www.nienhuis.com/en/ovoid-includes-clear-stand.html

http://www.nienhuis.com/en/cone.html

http://www.nienhuis.com/en/square-based-prism.html

http://www.nienhuis.com/en/triangular-based-prism.html

http://www.nienhuis.com/en/square-based-pyramid.html

http://www.nienhuis.com/en/triangular-based-pyramid.html

http://www.nienhuis.com/en/cylinder.html

http://www.nienhuis.com/en/ellipsoid-includes-clear-stand.html

http://www.nienhuis.com/en/geometric-solids-activity-set-1-2.html

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