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Numbers on a number line
Measurement
Solve word problems involving elapsed time by adding and subtracting time intervals in minutes, including using a number line
Numbers to 10,000
Number Representation & Place Value
Identify, represent, and estimate numbers up to 10,000 using different representations
Patterns in Times Tables
Multiplication & Division
Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations
Perimeters of polygons
Measurement
Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa)
Place value of each digit
Number Representation & Place Value
Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
Place Value Problem-Solving
Number Representation & Place Value
Solve number and practical problems involving place value with increasingly large positive numbers
Properties of Operations
Multiplication & Division
Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
Representing numbers with objects (age 8+)
Data & Statistics
Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables
Roman numerals to 100
Number Representation & Place Value
Read Roman numerals to 100 (I to C) and understand that the numeral system changed over time to include zero and place value
Rounding to 10, 100, 1000
Number Representation & Place Value
Round any number to the nearest 10, 100, or 1000
Telling time to the minute (age 8+)
Measurement
Tell and write time to the nearest minute using analogue and digital clocks
Tenths (age 8+)
Fractions
Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10
Times tables (age 8+)
Mathematical Thinking
Recognise and use repeated reasoning to generalise: extend patterns in times tables and equivalent fractions, derive unknown facts from known facts efficiently, describe general rules
Transformations on a grid
Geometry
Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size
Two-step addition and subtraction problems
Addition & Subtraction
Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
Two-Step Equations
Addition & Subtraction
Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
Types of angles
Geometry
Identify acute and obtuse angles; compare and order angles up to two right angles by size
Types of angles (age 8+)
Geometry
Use and interpret standard geometric diagram conventions: mark right angles with a small square, equal lengths with single or double tick marks, and equal angles with arc marks; label angles in three-letter notation (∠ABC) and individual angles with a single letter or number; draw diagrams showing angles at a point, angles on a straight line, and angles inside polygons with these conventions; read diagrams with these marks to identify given information and find unknown values
Understanding angles (age 8+)
Measurement
Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas
Understanding angles (age 8+)
Geometry
Understand that shapes in different categories may share attributes defining a larger category; classify quadrilaterals (rhombuses, rectangles, squares) and draw examples of quadrilaterals not in those subcategories
Understanding Area
Measurement
Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps
Unknown in Multiplication & Division
Multiplication & Division
Determine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42)
Using Mathematical Structure
Mathematical Thinking
Look for and use mathematical structure: exploit place-value patterns for ×10/×100, use the distributive property to break apart multiplications, apply fraction equivalence to compare and compute, use shape properties to classify quadrilaterals
What Division Means
Multiplication & Division
Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)