Embedded Files
Primary
Primary
Rekenrek
Rekenrek
Tens frames
Tens frames
Number Line
Number Line
Gattegno chart
Gattegno chart
Partitioning diagrams including bar models
Partitioning diagrams including bar models
Groups of units in addition to ones such as Dienes, Place Value counters
Groups of units in addition to ones such as Dienes, Place Value counters
Secondary
Secondary
Counters and algebra tiles (zero pairs)
Counters and algebra tiles (zero pairs)
Making sense of the number system
Working with integers
Linking the structure of number to algebra
Manipulating algebraic expressions
Arrays and area models
Arrays and area models
Multiplicative relationships
Area
Multiplication of integers, decimals, fractions …
Expand and factorise
Commutativity property of multiplication
Distributive property of multiplication
Multiplying and dividing algebraic expressions
Cuisenaire Rods
Cuisenaire Rods
Proportional reasoning
Additive and multiplicative relationships
Linking the structure of number to algebra
Sequences
Area and perimeter
Proportional reasoning
Additive and multiplicative relationships
Manipulating algebraic expressions
Gattegno chart
Gattegno chart
Structure of the number system
Multiplying and dividing by powers of 10
Standard index form
Percentages
Place Value Charts
Place Value Charts
Base 10 system
Understanding of the structure of the standard algorithms for the 4 operations on number
Standard index form
Partitioning diagrams including bar models
Partitioning diagrams including bar models
Additive and multiplicative relationships
Part part whole
Equal parts
Comparison
Additive and multiplicative relationships
https://www.ncetm.org.uk/media/8d84e791bafa491/ncetm_ks3_representations_bar_models.pdf
http://thewessens.net/ClassroomApps/subindex.html?id=wordproblems&topic=models&path=Models
http://thewessens.net/ClassroomApps/subindex.html?id=fractions&topic=models&path=Models
Part part whole interactive model - Desmos
Dienes, Base blocks, Place Value counters
Dienes, Base blocks, Place Value counters
Base 10 system
Understand the geometrical structure common to all bases including base x with base blocks (links to algebra tiles)
Understanding of the structure of the standard algorithms for the 4 operations on number (make connections with place value charts)
Perimeter, area and volume
Standard index form
Indices including negative indices.
Make links to the 4 operations on number to algebra.
Number lines
Number lines
Understanding the number system
Number operations
Positioning and ordering
Negative numbers
Fractions and decimals
Rounding
Graphs
Bounds
Double number lines and ratio tables
Double number lines and ratio tables
Multiplicative relationships
Scaling
Ratio and proportion
Compound measures
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