Mathematics – United Kingdom – National Curriculum
Year 3 programme of study
KS2.Y3.N.NPV – Number - number and place value
Pupils should be taught to:
KS2.Y3.N.NPV.1 – Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
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10 learning outcomes – click to view
Samples: Place value - hundreds, tens and ones. Counting by 100 (multiples of 100). Groups of 4. Groups of 8.
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Place value - hundreds, tens and ones
- Activities: 4 course, 2 extra
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Counting by 100 (multiples of 100)
- Activities: 1 course, 0 extra
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Groups and rows of 4
- Activities: 3 course, 4 extra
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Groups and rows of 8
- Activities: 2 course, 0 extra
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Adding 10 (to three digit numbers)
- Activities: 1 course, 1 extra
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Adding 100
- Activities: 1 course, 1 extra
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Subtracting 10
- Activities: 5 course, 11 extra
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Subtracting 10 large numbers
- Activities: 1 course, 1 extra
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Subtracting 100
- Activities: 1 course, 1 extra
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Rounding to the nearest 10
- Activities: 3 course, 3 extra
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10 learning outcomes – click to view
KS2.Y3.N.NPV.2 – Recognise the place value of each digit in a 3-digit number (100s, 10s, 1s)
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1 learning outcomes – click to view
Samples: Place value - hundreds, tens and ones. Place value - hundreds. Place value - hundreds, tens and ones. Place Value.
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Place value - hundreds, tens and ones
- Activities: 4 course, 2 extra
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1 learning outcomes – click to view
KS2.Y3.N.NPV.3 – Compare and order numbers up to 1,000
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2 learning outcomes – click to view
Samples: Numbers written in expanded form. Comparing numbers to 1000 (< = >). Greater than or less than.
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Numbers written in expanded form
- Activities: 1 course, 0 extra
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Comparing numbers to 1000 (< = >)
- Activities: 1 course, 1 extra
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2 learning outcomes – click to view
KS2.Y3.N.NPV.4 – Identify, represent and estimate numbers using different representations
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1 learning outcomes – click to view
Samples: Adding two digit numbers (estimating). Estimating. Estimating Answer sheet.
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Adding two digit numbers (estimating)
- Activities: 1 course, 2 extra
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1 learning outcomes – click to view
KS2.Y3.N.NPV.5 – Read and write numbers up to 1,000 in numerals and in words
KS2.Y3.N.NPV.6 – Solve number problems and practical problems involving these ideas
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4 learning outcomes – click to view
Samples: Challenge puzzle. Comparing and Counting Money - Notes and Coins. Odd numbers. Rounding to the nearest hundred.
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Challenge puzzle - Odd and Even Numbers
- Activities: 1 course, 0 extra
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Comparing and counting notes and coins
- Activities: 1 course, 0 extra
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Odd and even numbers
- Activities: 3 course, 2 extra
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Rounding to the nearest hundred
- Activities: 3 course, 0 extra
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4 learning outcomes – click to view
KS2.Y3.N.AS – Number - addition and subtraction
Pupils should be taught to:
KS2.Y3.N.AS.1 – Add and subtract numbers mentally, including:
KS2.Y3.N.AS.1.a: a three-digit number and 1s
KS2.Y3.N.AS.1.b: a three-digit number and 10s
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4 learning outcomes – click to view
Samples: Subtracting multiples of 10. Adding multiples of 10. Adding two digit numbers (split strategy).
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Subtracting multiples of 10
- Activities: 3 course, 5 extra
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Adding multiples of 10
- Activities: 2 course, 4 extra
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Adding two digit numbers (split strategy)
- Activities: 5 course, 2 extra
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Subtracting from 100
- Activities: 5 course, 5 extra
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4 learning outcomes – click to view
KS2.Y3.N.AS.1.c: a three-digit number and 100s
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3 learning outcomes – click to view
Samples: Adding three digit numbers using blocks. Place value - Subtract three digit numbers. Adding three digit numbers.
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Adding three digit numbers using blocks
- Activities: 1 course, 0 extra
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Place value - Subtract three digit numbers
- Activities: 1 course, 0 extra
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Three digit addition (Skill 48)
- Activities: 6 course, 7 extra
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3 learning outcomes – click to view
KS2.Y3.N.AS.2 – Add and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtraction
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5 learning outcomes – click to view
Samples: Adding five digit numbers. Subtracting three digit numbers. Adding two digit numbers (split strategy).
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Adding large numbers
- Activities: 4 course, 27 extra
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Subtracting three digit numbers
- Activities: 2 course, 0 extra
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Adding two digit numbers (split strategy)
- Activities: 5 course, 2 extra
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Adding two digit numbers (jump strategy)
- Activities: 6 course, 5 extra
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Adding two digit numbers (written strategy)
- Activities: 5 course, 8 extra
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5 learning outcomes – click to view
KS2.Y3.N.AS.3 – Estimate the answer to a calculation and use inverse operations to check answers
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9 learning outcomes – click to view
Samples: Adding two digit numbers (split strategy). Adding two digit numbers (jump strategy). Two digit addition.
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Mental strategies for addition (Skill 39)
- Activities: 5 course, 1 extra
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Mental strategies for addition - jump strategy (Skill 40)
- Activities: 5 course, 7 extra
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Two digit addition (Skill 41)
- Activities: 4 course, 7 extra
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Mental strategies for subtraction - jump back (Skill 42)
- Activities: 5 course, 7 extra
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Mental strategy for subtraction - adding on (Skill 43)
- Activities: 5 course, 1 extra
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Two digit subtraction (Skill 44)
- Activities: 4 course, 7 extra
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Mental strategies for subtraction - adding on to make 100 (Skill 45)
- Activities: 4 course, 1 extra
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Subtract From 100 (Skill 46)
- Activities: 5 course, 7 extra
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Mental strategies - 3 digit addition (Skill 47)
- Activities: 5 course, 1 extra
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9 learning outcomes – click to view
KS2.Y3.N.AS.4 – Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction
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8 learning outcomes – click to view
Samples: Adding two digit numbers (problem solving). Challenge Puzzle - Addition Pyramid.
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Adding two digit numbers (problem solving)
- Activities: 6 course, 12 extra
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Challenge Puzzle - Addition Pyramid
- Activities: 1 course, 0 extra
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Adding two digit numbers (missing number)
- Activities: 2 course, 5 extra
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Make 100 - problem solving
- Activities: 2 course, 3 extra
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Challenge puzzle - make 100
- Activities: 1 course, 0 extra
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Subtraction (two step problem solving)
- Activities: 2 course, 1 extra
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Subtracting two digit numbers (problem solving)
- Activities: 5 course, 21 extra
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Challenge puzzle - two digit subtraction
- Activities: 1 course, 0 extra
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8 learning outcomes – click to view
KS2.Y3.N.MD – Number - multiplication and division
Pupils should be taught to:
KS2.Y3.N.MD.1 – Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
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6 learning outcomes – click to view
Samples: Groups of 3. Groups of 4. Learning 8x tables. Dividing by 3. Dividing by 4. Dividing by 8. Learning 3x tables.
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3x tables
- Activities: 8 course, 8 extra
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4x tables
- Activities: 9 course, 6 extra
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8x tables
- Activities: 7 course, 5 extra
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Dividing by 3
- Activities: 4 course, 3 extra
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Dividing by 4
- Activities: 4 course, 3 extra
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Dividing by 8
- Activities: 2 course, 1 extra
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6 learning outcomes – click to view
KS2.Y3.N.MD.2 – Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
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12 learning outcomes – click to view
Samples: Tricky 20. Multiplicative comparison. Multiplying multiples of 10 by a single digit.
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2x-10x tables
- Activities: 5 course, 12 extra
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Multiplicative comparisons
- Activities: 1 course, 0 extra
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Multiplying multiples of 10
- Activities: 7 course, 4 extra
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Division facts (missing number)
- Activities: 2 course, 2 extra
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Halving numbers
- Activities: 3 course, 4 extra
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Division (with remainders)
- Activities: 3 course, 9 extra
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3x times tables (Skill 38)
- Activities: 5 course, 7 extra
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4x times tables (Skill 49)
- Activities: 5 course, 7 extra
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8x times tables (Skill 52)
- Activities: 5 course, 7 extra
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Mixed times tables - 1x-10x (Skill 54)
- Activities: 4 course, 7 extra
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Division facts (Skill 56)
- Activities: 6 course, 7 extra
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Halving numbers - up to 100 (Skill 59)
- Activities: 5 course, 7 extra
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12 learning outcomes – click to view
KS2.Y3.N.MD.3 – Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects
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8 learning outcomes – click to view
Samples: 3x tables (problem solving). Challenge Puzzle - 3x tables. 4x tables (problem solving).
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3x tables (problem solving)
- Activities: 3 course, 3 extra
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Puzzle - 3x tables
- Activities: 1 course, 0 extra
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4x tables (problem solving)
- Activities: 3 course, 6 extra
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4x tables - puzzle
- Activities: 1 course, 0 extra
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8x tables (problem solving)
- Activities: 3 course, 5 extra
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Dividing by 3 (problem solving)
- Activities: 2 course, 2 extra
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Times tables - missing number (Skill 55)
- Activities: 4 course, 7 extra
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Multiplying lots of 10 by a single digit number - missing number (Skill 67)
- Activities: 4 course, 7 extra
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8 learning outcomes – click to view
KS2.Y3.N.F – Number - fractions
Pupils should be taught to:
KS2.Y3.N.F.1 – Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
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1 learning outcomes – click to view
Samples: Hundredths - simplest form. Tenths and hundredths. Recognizing Naming Hundredths. Fractions Assessment.
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Tenths and hundredths.
- Activities: 3 course, 4 extra
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1 learning outcomes – click to view
KS2.Y3.N.F.2 – Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
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2 learning outcomes – click to view
Samples: Fractions of an area. Comparing fractions as quantities. Fractions of an area. Fractions - Area.
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Fractions of an area
- Activities: 2 course, 1 extra
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Comparing fractions as quantities.
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
KS2.Y3.N.F.3 – Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
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2 learning outcomes – click to view
Samples: Comparing fractions - 1 whole. Counting on - fractions.
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Comparing fractions - 1 whole
- Activities: 1 course, 0 extra
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Count by halves, thirds, quarters and eighths.
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
KS2.Y3.N.F.4 – Recognise and show, using diagrams, equivalent fractions with small denominators
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1 learning outcomes – click to view
Samples: Modelling equivalent fractions. Equivalence. Modelling equivalent fractions.
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Modelling equivalent fractions.
- Activities: 3 course, 3 extra
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1 learning outcomes – click to view
KS2.Y3.N.F.5 – Add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7 ]
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1 learning outcomes – click to view
Samples: Adding fractions - same denominators. Adding fractions - visual cues.
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Adding fractions - visual cues
- Activities: 2 course, 0 extra
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1 learning outcomes – click to view
KS2.Y3.N.F.6 – Compare and order unit fractions, and fractions with the same denominators
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2 learning outcomes – click to view
Samples: Compare to a half. Compare fractions: using comparison symbols (<, =, >).
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Compare to one half.
- Activities: 1 course, 0 extra
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Compare fractions: using comparison symbols (<, =, >)
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
KS2.Y3.N.F.7 – Solve problems that involve all of the above
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1 learning outcomes – click to view
Samples: Comparing Fractions. Compare and order fractions. Comparing fractions tutorial. Comparing fractions.
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Compare and order fractions.
- Activities: 2 course, 2 extra
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1 learning outcomes – click to view
KS2.Y3.M – Measurement
Pupils should be taught to:
KS2.Y3.M.1 – Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
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13 learning outcomes – click to view
Samples: Adding and subtracting unit lengths using blocks. Measuring in Centimetres. Measuring in centimeters.
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Adding and subtracting unit lengths
- Activities: 1 course, 0 extra
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Measure length in centimetres
- Activities: 1 course, 1 extra
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Measure length in centimeters
- Activities: 6 course, 3 extra
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Measure length in metres
- Activities: 1 course, 4 extra
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Measure mass in grams and kilograms
- Activities: 3 course, 14 extra
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Measure volume using litres and milliltres
- Activities: 1 course, 2 extra
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Length - problem solving
- Activities: 2 course, 1 extra
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Challenge puzzle - length (m)
- Activities: 1 course, 0 extra
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Use instruments to measure length.
- Activities: 2 course, 0 extra
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Scaled instruments used to measure volume.
- Activities: 1 course, 10 extra
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Customary units
- Activities: 1 course, 3 extra
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Use scaled instruments to measure mass
- Activities: 3 course, 3 extra
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13 learning outcomes – click to view
KS2.Y3.M.2 – Measure the perimeter of simple 2-D shapes
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2 learning outcomes – click to view
Samples: Perimeter. Perimeter of irregular shapes. Perimeter of squares and rectangles.
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Perimeter of squares and rectangles.
- Activities: 3 course, 5 extra
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Perimeter of irregular shapes.
- Activities: 2 course, 12 extra
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2 learning outcomes – click to view
KS2.Y3.M.3 – Add and subtract amounts of money to give change, using both £ and p in practical contexts
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6 learning outcomes – click to view
Samples: Calculations involving money. Represent money in multiple ways. Using ATM's to access our money.
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Calculations involving money
- Activities: 1 course, 0 extra
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Represent money in multiple ways
- Activities: 1 course, 1 extra
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Using ATM's to access our money
- Activities: 1 course, 1 extra
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Calculating the amount left over
- Activities: 1 course, 0 extra
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Calculating the change on simple transactions
- Activities: 1 course, 1 extra
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Reading a menu
- Activities: 1 course, 0 extra
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6 learning outcomes – click to view
KS2.Y3.M.4 – Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks
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2 learning outcomes – click to view
Samples: Timelines. 24 hour time. Timelines: Activity 1. 24 hour time - am or pm. Timelines: Activity 2. 24 hour time.
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Timelines
- Activities: 1 course, 6 extra
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24 hour time - am or pm
- Activities: 4 course, 7 extra
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2 learning outcomes – click to view
KS2.Y3.M.5 – Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight
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2 learning outcomes – click to view
Samples: Reading Five Minute Intervals. Time - 'a.m.' and 'p.m.'. Reading Time - to the minute.
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Reading Time - to the minute
- Activities: 2 course, 9 extra
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Use a.m. and p.m.
- Activities: 1 course, 2 extra
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2 learning outcomes – click to view
KS2.Y3.M.6 – Know the number of seconds in a minute and the number of days in each month, year and leap year
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2 learning outcomes – click to view
Samples: Converting between units of time I. Reading a Calendar. Converting between units of time II. Reading a Calendar.
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Converting between units of time
- Activities: 2 course, 0 extra
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Reading a Calendar
- Activities: 2 course, 5 extra
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2 learning outcomes – click to view
KS2.Y3.M.7 – Compare durations of events [for example, to calculate the time taken by particular events or tasks]
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1 learning outcomes – click to view
Samples: Converting between units of time. Converting between units of time II. Ordering time - hundredths of a second.
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Convert between units of time
- Activities: 2 course, 1 extra
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1 learning outcomes – click to view
KS2.Y3.G.PS – Geometry - properties of shapes
Pupils should be taught to:
KS2.Y3.G.PS.1 – Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
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3 learning outcomes – click to view
Samples: Constructing 2D shapes. Drawing 3D objects. Matching - three-dimensional objects with their nets. Drawing 2D shapes.
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Construct and draw two dimensional shapes
- Activities: 1 course, 3 extra
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Draw three-dimensional shapes
- Activities: 6 course, 9 extra
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Nets of three dimensional objects
- Activities: 4 course, 4 extra
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3 learning outcomes – click to view
KS2.Y3.G.PS.2 – Recognise angles as a property of shape or a description of a turn
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4 learning outcomes – click to view
Samples: Identifying shapes based on attributes. Tessellating patterns. Quadrilaterals. Naming three-dimensional objects.
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Identifying shapes based on attributes
- Activities: 1 course, 0 extra
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Creating tessellating patterns
- Activities: 1 course, 2 extra
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Identifying two-dimensional shapes
- Activities: 5 course, 0 extra
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Naming three-dimensional objects
- Activities: 3 course, 6 extra
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4 learning outcomes – click to view
KS2.Y3.G.PS.3 – Identify right angles, recognise that 2 right angles make a half-turn, 3 make three-quarters of a turn and 4 a complete turn; identify whether angles are greater than or less than a right angle
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2 learning outcomes – click to view
Samples: Comparing angles. Right angles in shapes. Angles in the environment. Comparing to a right angle. Drawing angles.
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Comparing angles
- Activities: 2 course, 1 extra
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Comparing to a right angle
- Activities: 4 course, 3 extra
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2 learning outcomes – click to view
KS2.Y3.G.PS.4 – Identify horizontal and vertical lines and pairs of perpendicular and parallel lines
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3 learning outcomes – click to view
Samples: Parallel and perpendicular lines in shapes. Identifying types of lines. Coordinates. Identifying lines. The map key.
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Parallel and perpendicular lines in shapes
- Activities: 1 course, 0 extra
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Identifying types of lines
- Activities: 2 course, 9 extra
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Reading a simple grid map - the zoo
- Activities: 3 course, 0 extra
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3 learning outcomes – click to view
KS2.Y3.S – Statistics
Pupils should be taught to:
KS2.Y3.S.1 – Interpret and present data using bar charts, pictograms and tables
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2 learning outcomes – click to view
Samples: Data - picture graphs. Surveys to collect data. Display data using picture graphs.
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Interpret data presented using picture graphs.
- Activities: 1 course, 4 extra
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Use surveys to collect data
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
KS2.Y3.S.2 – Solve one-step and two-step questions [for example ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables
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2 learning outcomes – click to view
Samples: Two way tables. Interpreting column graphs. Reading a three way table. Interpreting column graphs - 4.
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Interpret data presented in two way tables.
- Activities: 1 course, 3 extra
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Interpret data using column graphs
- Activities: 2 course, 5 extra
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2 learning outcomes – click to view