Year 3 - Maths
|NRICH nrich. problems linked to the Framework for teaching mathematics in Years 3, 4, 5 and 6 | |
|A list of recent updates can be found at the end of this document. The letters and numbers refer to blocks and units. The level of maths challenge is indicated by a scale of one, two or three| |
|stars, with three stars being the most challenging. | |
|(N.B. This is work in progress– we would really appreciate your comments. Please email emp1001@cam.ac.uk) | |
| |Year 3 |Year 4 |Year 5 |Year 6 |Year 6-7 |
| |Round two-digit or three-digit numbers |Use decimal notation for tenths and |Express a smaller whole number as a |Express a larger whole number as a fraction|Recognise approximate proportions of a |
| |to the nearest 10 or 100 and give |hundredths and partition decimals; |fraction of a larger one (e.g. |of a smaller one (e.g. recognise that 8 |whole and use fractions and percentages|
| |estimates for their sums and differences|relate the notation to money and |recognise that 5 out of 8 is five |slices of a 5-slice pizza represents eight |to describe and compare them, for |
| | |measurement; position one-place and |eighths); find equivalent fractions |fifths or 1three fifths pizzas); simplify |example when interpreting pie charts |
| | |two-place decimals on a number line |(e.g. seven tenths equals fourteen |fractions by cancelling common factors; | |
| | | |twentieths, or nineteen tenths equals |order a set of fractions by converting them| |
| | | |1nine tenths); relate fractions to |to fractions with a common denominator | |
| | | |their decimal representations |NRICH: Chocolate ** | |
| | | |NRICH: Fractions in a Box** |E1 E2 E3 | |
| | | |E1 E2 E3 | | |
| | |Use diagrams to identify equivalent |Use sequences to scale numbers up or |Solve simple problems involving direct | |
| | |fractions (e.g. six eighths and three |down; solve problems involving |proportion by scaling quantities up or down| |
| | |quarters, or seventy hundredths and |proportions of quantities (e.g. |NRICH: Orange Drink ** | |
| | |seven tenths); interpret mixed numbers |decrease quantities in a recipe |NRICH: Pumpkin Pie Problem ** | |
| | |and position them on a number line (e.g.|designed to feed six people) |E1 E2 E3 | |
| | |3 one half) |NRICH: Blackcurrantiest*** | | |
| | | |E2 E3 | | |
| |Year 3 |Year 4 |Year 5 |Year 6 |Year 6-7 |
| |Derive and recall multiplication facts |Identify the doubles of two-digit |Recall quickly multiplication facts up |Use knowledge of multiplication facts to |Recognise the square roots of perfect |
| |for the 2, 3, 4, 5, 6 and 10 |numbers; use these to calculate doubles |to 10 multiplied by 10 and use them to |derive quickly squares of numbers to |squares to 12 multiplied by 12 |
| |times-tables and the corresponding |of multiples of 10 and 100 and derive |multiply pairs of multiples of 10 and |12multiplied by12 and the corresponding | |
| |division facts; recognise multiples of |the corresponding halves |100; derive quickly corresponding |squares of multiples of 10 | |
| |2, 5 or 10 up to 1000 | |division facts |NRICH: One Wasn’t Square** | |
| |NRICH: Growing Garlic *** | | |NRICH: Cycling Squares** | |
| |A2 A3 B1 B2 B3 E1 E2 E3 | | |B1 B2 B3 | |
| |Year 3 |Year 4 |Year 5 |Year 6 |Year 6-7 |
| |Understand that division is the inverse |Find fractions of numbers, quantities or|Find fractions using division (e.g. one| |Use bracket keys and the memory of a |
| |of multiplication and vice versa; use |shapes (e.g. one fifth of 30 plums, |hundredth of 5 kg), and percentages of | |calculator to carry out calculations |
| |this to derive and record related |three eighths of a 6 by 4 rectangle) |numbers and quantities (e.g. 10percent,| |with more than one step; use the square|
| |multiplication and division number |NRICH: A Bowl of Fruit *** |5percent and 15percent of pound80) | |root key |
| |sentences |NRICH: Fractional Triangles * | | | |
| |NRICH: Secret Number ** |E1 E2 E3 | | | |
| |NRICH: Journeys in Numberland * | | | | |
| |E2 D3 | | | | |
| |Year 3 |Year 4 |Year 5 |Year 6 |Year 6-7 |
| |Read the time on a 12-hour digital clock|Draw rectangles and measure and |Draw and measure lines to the nearest |Calculate the perimeter and area of |Calculate the area of right-angled |
| |and to the nearest 5 minutes on an |calculate their perimeters; find the |millimetre; measure and calculate the |rectilinear shapes; estimate the area of an|triangles given the lengths of the two |
| |analogue clock; calculate time intervals|area of rectilinear shapes drawn on a |perimeter of regular and irregular |irregular shape by counting squares |perpendicular sides, and the volume and|
| |and find start or end times for a given |square grid by counting squares |polygons; use the formula for the area |NRICH: Numerically Equal** |surface area of cubes and cuboids |
| |time interval |NRICH: Torn Shapes * |of a rectangle to calculate the |NRICH: Area and Perimeter * |NRICH: Brush Loads * |
| |NRICH: Two Clocks ** |D2 D3 |rectangle's area |D1 D3 |NRICH: More Transformations on a |
| |D1 D3 C1 | |NRICH: Fitted *** | |Pegboard ** |
| | | |D1 D2 D3 | |NRICH: Making Boxes ** |
| | | | | |NRICH: Next Size Up ** |
| | | | | | |
Updates in January 2011: The Car That Passes, Probably, Winning the Lottery Updates in May 2011: Journeys in Numberland, Area and Perimeter, Discuss and Choose, The Time Is …
Updates in September 2011: Four Go, Sponge Sections, Plants
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.