Maths Scheme of Work P14

Transcription

1 Maths topic: calculation (approx 3 weeks) Key: = Main Objective o = On the Boil Objective o Blue Text = Repeated Objective Blue Text = NS Key Objectives and Non-Statutory Guidance Autumn Term Maths Scheme of Work P14 Recognise the of each digit in a four-digit number (thousands, hundreds, tens, and ones) Find 1000 more or less than a given number NRICH: Some Games That May Be Nice or Nasty * Solve number and practical problems that involve all of the above and with increasingly large positive numbers Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and Addition and subtraction o add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction estimate and use inverse operations to check answers to a calculation NRICH: Fifteen Cards * add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate o add and subtract numbers mentally, including: a three-digit number and ones a three-digit number and tens a three-digit number and hundreds

2 Maths topic: Measures (approx 2 weeks) o Pupils practise solving varied addition and subtraction questions. For mental calculations with two-digit numbers, the answers could exceed 100. Multiplication and division Recall multiplication and division facts for multiplication tables up to Use, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects. Solve one-step and two-step problems involving numbers and money Develop and use written methods to record, support and explain multiplication and division of two-digit numbers by a one-digit number NRICH: Trebling * NRICH: All the Digits ** NRICH: Multiplication Square Jigsaw NRICH: Shape Times Shape * Choose and use standard metric units and their abbreviations when estimating, measuring and recording length NRICH: Train for Two Find 1000 more or less than a given number Count backwards through zero to include negative numbers Solve number and practical problems that involve all of the above and with increasingly large positive numbers Identify, represent and estimate numbers using different representations NRICH: Roll These Dice **

3 Maths topic: Time, money, and calculation (approx 3 weeks) Read time to the nearest minute Read, write and convert time between analogue and digital 12 and 24-hour clocks Choose units of time to measure time intervals; calculate time intervals from clocks and timetables Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days. Estimate, compare and calculate measures of time NRICH: 5 on the Clock Compare and order numbers beyond 1000 Identify, represent and estimate numbers using different representations NRICH: The Deca Tree * Fractions Count up and down in hundredths; recognise that hundredths arise when dividing an object by a hundred and dividing tenths by ten. Recognise and show, using diagrams, families of common equivalent fractions Add and subtract fractions with the same denominator Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number NRICH: Fractional Triangles *

4 Maths topic: calculation (approx 3 weeks) Place Value Know multiples of 2, 3, 4, 5, 6, 7, 8, 10, 25, 50, 100 and 1000 Recognise the of each digit in a four-digit number (thousands, hundreds, tens, and ones) NRICH: Amy s Dominoes ** Identify patterns and relationships involving numbers or shapes, and use these to solve problems Multiplication and division Solve number and practical problems that involve all of the above and with increasingly large positive numbers Recall multiplication and division facts for multiplication tables up to Use, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers NRICH: Table Patterns Go Wild! ** Recognise and use factor pairs and commutativity in mental calculations Multiply and divide numbers to 1000 by 10 and then 100 (whole-number answers), understanding the effect; relate to scaling up or down NRICH: Let s Divide Up! * Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects. Position one-place and two-place decimals on a number line Round any number to the nearest 10, 100 or 1000 Solve number and practical problems that involve all of the above and with increasingly large positive numbers NRICH: Zios and Zepts * NRICH: Spiralling Decimals

5 (approx 3 weeks) Maths topic: Geometry and statistics (approx 2 weeks) Properties of shapes draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes Pupils continue to classify shapes using geometrical properties, extending to classifying different triangles (e.g. isosceles, equilateral, scalene) and quadrilaterals (e.g. parallelogram, rhombus, trapezium). NRICH: Nine-pin Triangles *** NRICH: Cut it Out *** Statistics Suggest a line of enquiry and the strategy needed to follow it; collect, organise and interpret selected information to find answers Interpret and present discrete data using bar charts NRICH: Venn Diagrams * Spring Term Maths topic: calculation Number facts Place value, ordering, estimating, rounding Count backwards through zero to include negative numbers Multiplication and division Recall multiplication and division facts for multiplication tables up to Multiply and divide numbers to 1000 by 10 and then 100 (whole-number answers), understanding the effect; relate to scaling up or down NRICH: Round the Dice Decimals 2 NRICH: That Number Square! * NRICH: Carrying Cards *

6 Maths topic: Time (approx 1 weeks) Fractions Recognise and write decimal equivalents of any number of tenths or hundredths Recognise and write decimal equivalents to 1 / 4 ; 1 / 2 ; 3 / 4 Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as units, tenths and hundredths Solve simple measure and money problems involving fractions and decimals to two decimal places. NRICH: Bryony s Triangle * NRICH: Fair Feast * NRICH: Fractions in a Box ** Read time to the nearest minute Read, write and convert time between analogue and digital 12 and 24-hour clocks Choose units of time to measure time intervals; calculate time intervals from clocks and timetables Position one-place and two-place decimals on a number line Reading numbers from scales Solve number and practical problems that involve all of the above and with increasingly large positive numbers NRICH: How Many Times? * NRICH: 5 on the Clock *** NRICH: Sealed Solution ** Position and direction identify horizontal and vertical lines and pairs of perpendicular and parallel lines. NRICH: Dotty Relationship NRICH: Crossings

7 Maths topic: money (approx 3 weeks) Maths topic: Time (approx 1 weeks) Geometry identify lines of symmetry in 2-D shapes presented in different orientations complete a simple symmetric figure with respect to a specific line of symmetry. Pupils draw symmetric patterns using a variety of media to become familiar with different orientations of lines of symmetry; and recognise line symmetry in a variety of diagrams, including where the line of symmetry does not dissect the reflected shape NRICH: Let s Reflect * NRICH: Stringy Quads ** NRICH: Symmetry Challenge *** NRICH: Coordinate Challenge * Estimate, compare and calculate different measures, including money in pounds and pence Solve one and two step problems involving different measures NRICH: Discuss and Choose * Use decimal notation to record measurements Statistics Answer a question by identifying what data to collect; organise, present, analyse and interpret the data in tables, diagrams, tally charts, pictograms and bar charts, using ICT where appropriate Interpret and present discrete data using bar charts and continuous data using line graphs Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and simple line graphs NRICH: Plants ** Addition and subtraction o add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate NRICH: Escape from the Castle ** estimate and use inverse operations to check answers to a calculation Pupils continue to practise both mental methods and columnar addition and subtraction with increasingly large numbers to aid fluency

8 Maths topic: Number, calculation and measures Maths topic: Measures (approx 2 weeks) Measures Find the area of rectilinear shapes by counting squares Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres NRICH: Torn Shapes * Solve one-step and two-step problems involving measures NRICH: Rod Measures Position and direction Use decimal notation to record measurements of length describe positions on a 2-D grid as coordinates in the first quadrant plot specified points and draw sides to complete a given polygon. NRICH: Olympic Starters NRICH: A Cartesian Puzzle NRICH: Coordinate Tan Summer Term Multiplication and division Fractions Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Solve one-step and two-step problems involving numbers and money Round decimals with one decimal place to the nearest whole number Compare numbers with the same number of decimal places up to two decimal places Solve simple measure and money problems involving fractions and decimals to two decimal places. NRICH: Light the Lights Again * NRICH: Multiples Grid * NRICH: Chocolate **

9 Maths topic: Geometry and statistics Maths topic: Measures Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days. Estimate, compare and calculate measures of time NRICH: Wonky Watches ** NRICH: Watch the Clock *** Convert between different units of measure (e.g. kilometre to metre; hour to minute) NRICH: Olympic Starters * Position and direction Pupils draw a pair of axes in one quadrant, with equal scales and integer labels. They read, write and use pairs of coordinates (2, 5) including using coordinate-plotting ICT tools. describe movements between positions as translations of a given unit to the left/right and up/down NRICH: Transformations on a Pegboard * Geometry identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle identify acute and obtuse angles and compare and order angles up to two right angles by size NRICH: The Numbers Give the Design * Pupils compare and order angles in preparation for using a protractor and compare lengths and angles to decide if a polygon is regular or irregular. Statistics Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and simple line graphs NRICH: More

10 Maths topic: money Pupils should understand and use a greater range of scales in their representations Pupils should begin to relate the graphical representation of data to recording change over time Carroll Diagrams * Counting and properties of numbers Reasoning about numbers NRICH: Money Bags ** Compare and order numbers beyond 1000 Solve number and practical problems that involve all of the above and with increasingly large positive numbers Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and Addition and subtraction o estimate and use inverse operations to check answers to a calculation o solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why. add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate NRICH: The Puzzling Sweet Shop ** Pupils continue to practise both mental methods and columnar addition and subtraction with increasingly large numbers to aid fluency