Y6 Long Term Plan

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Y6 Long Term Plan 2020-2021

Week 1

Week 2

Week 3

Week 4

Week 5 Week

6

Week 7

Week 8

Week 9

Week 10

Week 11

Week 12 Week 13 Week 14

Autumn

^Number:

Place Value

Number: four operations Number: Fractions

^Geometry:

position and direction

Revise core concepts and mixed questions

Spring ^Number:

decimals

Number:

percentages

Number:

algebra

Measure: converting units

Geometry:

properties of shape

Measurement:

perimeter, area and volume

Statistics

Summer

S tat ist ics Number:

Ratio

Consolidation and SATs preparation

SA Ts wee k

Consolidation of KS2 and preparation for KS3

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Year 6 Medium Term Plan - Whole Overview 2020 - 2021

Number Talks Sessions – revise and practise arithmetic paper questions

Autumn Term

Number and Place Value:

NC objectives:

• Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit

• Round any whole number to a required degree of accuracy

• Use negative numbers in context, and calculate intervals across zero

• Solve number and practical problems that involve all of the above.

Key Vocabulary: numeral, placeholder, integer, multiple, digit, number, multiple, greater than, greatest, less than, more than, ascending, descending, increase, decrease, partition, negative, positive.

Steps in progression (based on White Rose Scheme of Learning – see this for planning guide, although some steps have been added to or broken down further based on knowledge of children’s prior learning/ Recap Work for 2020-2021/Mini Assessment(Stick in Maths Book to see progression):

NB: These steps are not one lesson or one learning target. Breakdown steps into smaller learning targets, with one learning target per lesson. The White Rose planning will need breaking down and supplementing for every lesson.

Revision LTs: revise written methods for the four operations as prior assessment for the calculation unit to assess starting point , Roman Numerals (Not Taught last year)

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© Hook Junior School Mini starters / prior learning required to achieve objective as a reminder: read, write and compare and order numbers up to 1,000,000 using equality and inequalities; counting forwards and backwards in 10s, 100s, 1000s, 5s, 50s using counting stick (including into negative numbers), class chanting, counting orchestra etc.; revise 10, 100, 1000, 10,000, 100,000 more or less.

1. Recap: numbers to 10,000 – using concrete manipulatives and pictorial representations to represent numbers and solve place value problems

2. Recap: numbers to 10,000 – adding and subtracting 10,100,1000

3. Recap: numbers to 100,000 – represent numbers on a place value grid and place them on a number line to 100,000

4. Recap: numbers to 100,000 – using a numberline, find numbers between two points, place a number and estimate where larger numbers will be

5. Recap: Numbers to one million 6. Numbers to ten million

7. Compare and order

8. Recap: Round to 10, 100 and 1,000 9. Round within ten million

10. Negative numbers – counting forwards and backwards through zero and solving simple problems in context 11. Negative numbers – solving problems and reasoning activities to secure understanding (more abstract) 12. Mini Assessment

Number: four operations (Long Division and word problems taught Via Seesaw) NC Objectives:

• Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

• Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

• Divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context

• Perform mental calculations, including with mixed operations and large numbers

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• Identify common factors, common multiples and prime numbers

• Use their knowledge of the order of operations to carry out calculations involving the four operations

• Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

Key vocabulary: sum, total, difference, more, less, of multiple, product, factor, dividend, divisor and quotient, commutative, : , times, multiplied by, groups of, lots of, of, divided by, shared, split, grouped, multiple, factor, prime, inverse, addend, subtrahend, minuend, exchange.

Steps in progression (based on White Rose Scheme of Learning – see this for planning):

NB: These steps are not one lesson or one learning target. Breakdown steps into smaller learning targets, with one learning target per lesson.

Revision starter questions – revise place value objectives above, times tables.

Mini Starters – times tables facts, counting orchestra, number bonds, mental strategies for the four operations, consider prior learning for the lesson

1. Recap: Add more than 4 digits 2. Recap: Subtract more than 4 digits

3. Recap: inverse operations (addition and subtraction) 4. Recap: multi-step problems

5. Add and subtract integers

6. Recap: multiply 4-digits by 1-digit 7. Recap: multiply 2-digits (area model) 8. Recap: Multiply 2-digits by 2-digits 9. Recap: multiply 3-digits by 2-digits 10. Multiply 4-digits by 2-digits

11. Recap: divide 4-digits by 1-digit

12. Recap: divide with remainders (DO NOT TEACH THE NEXT ON THE UNIT – SHORT DIVISION HERE) 13. Division using factors

14. Long division (1) 15. Long division (2)

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17. Long division (4)

18. Short division – teach short division here once children are secure with the process and understanding behind long division 19. Multi-step mixed word problems involving the four operations – Testbase may be useful here

20. Recap: factors 21. Common factors 22. Primes to 100

23. Square and cube numbers 24. Order of operations

25. Four 4s investigation applying order of operations 26. Mental calculations

27. Reason from known facts

28. Multi-step mixed word problems involving the four operations – Testbase may be useful here 29. Mini Assessment

Number: Fractions (Taught Via Seesaw/ Not taught multiplying proper fractions) NC Objectives:

• use common factors to simplify fractions; use common multiples to express fractions in the same denomination

• compare and order fractions, including fractions >1

• add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

• multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, × = ]

• divide proper fractions by whole numbers [for example, ÷ 2 = ]

Key vocabulary: numerator, denominator, unit fraction, non-unit fraction, improper, proper, equal parts, quantity, equivalent, divisor, dividend, quotient, greater than, less than, factor, common factor, highest common factor, simplify, common multiples, lowest common multiple

Steps in progression (based on White Rose Scheme of Learning – see this for planning guide):

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Revision starter questions – Long division, multiplication questions with reasoning, multi-step problems, factors, prime numbers, etc.

Mini Starters / prior learning – times table facts, counting up and back in fractions on a counting stick / numberline, counting orchestra;, shading and calculating different fractions of amounts to gain conceptual understanding, ordering fractions in images and numerals, finding common factors and factors of numbers, common multiples.

1. Recap: equivalent fractions 2. Simplify fractions

3. Recap: improper fractions to mixed numbers 4. Recap: mixed numbers to improper fractions 5. Fractions on a number line

6. Compare and order (denominator) – where denominators are not multiples of the same number 7. Compare and order (numerator)

8. Add and subtract fractions within 1 9. Add and subtract fractions 2 10. Recap: Add mixed numbers 11. Add fractions

12. Recap: Subtract mixed numbers 13. Subtract fractions

14. Mixed addition and subtraction

15. Multiply fractions by integers – spend at least a couple of lessons on this so children are secure. Use Testbase to supplement.

16. Multiply fractions by fractions 17. Divide fractions by integers 1 18. Divide fractions by integers 2 19. Four rules with fractions 20. Fractions of an amount

21. Fraction of an amount – find the whole

22. Mixed problems involving fractions applying the four operations (Not taught scaling up/down word problems) 23. Mini Assessment

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NC Objectives:

• describe positions on the full coordinate grid (all 4 quadrants)

• draw and translate simple shapes on the coordinate plane, and reflect them in the axes Key vocabulary: translate, quadrant, co-ordinate, reflection, symmetry, symmetrical, x-axis, y-axis Steps in progression (based on White Rose Scheme of Learning – see this for planning guide):

Revision starter questions – Fractions of amounts, equivalent fractions, improper fractions, reasoning questions plus word problems.

1. The first quadrant 2. Four quadrants 3. Translations

4. Recap: Y5 reflections without co-ordinates (Y5 summer block) 5. Reflections on co-ordinates

6. Mini Assessment

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Spring Term

Number: Decimals NC Objectives:

• Identify the value of each digit in numbers given to 3 decimal places and multiply numbers by 10, 100 and 1,000 giving answers up to 3 decimal places.

• Multiply 1-digit numbers with up to 2 decimal places by whole numbers.

• Use written division methods in cases where the answer has up to 2 decimal places.

• Solve problems which require answers to be rounded to specified degrees of accuracy.

Key vocabulary: tenth, hundredth, thousandth, place holder, equal parts, intervals, whole, decimal point, equivalent, see addition and subtraction vocabulary, term

Mini Starters / prior learning – secure understanding of place value for integers, multiplying and dividing by 10,100 and 1000 and concept of fraction

Revision starter questions – Coordinates, translations and quadrants, timetables, 1. Recap: Decimals up to 2d.p.

2. Recap: Understand thousandths 3. Three decimal places

4. Multiply by 10, 100 and 1,000 5. Divide by 10, 100 and 1,000 6. Multiply decimals by integers

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8. Division to solve problems 9. Decimals as fractions 10. Fractions to decimals (1) 11. Fractions to decimals (2)

12. Mixed multi-step word problems involving the four operations, including decimals 13. Mini Assessment

Number: Percentages NC Objectives:

• Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison.

• Recall and use equivalences between simple fractions, decimals and percentages including in different contexts.

Key vocabulary: percent, percentage, equivalent, equal, ascending, descending.

Revision starter questions – Decimals revisions from previous unit including reasoning problems and fraction links 1. Recap: Understand Percentages

2. Fractions to percentages 3. Equivalent FDP

4. Order FDP

5. Percentage of an amount (1)

6. Percentage of an amount (2) – using the bubbles to support with finding different percentages of amounts may be helpful here 7. Percentages ––missing values

8. Mixed word problems involving fractions and percentages – Testbase may be useful here (Not taught last year)

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Number: Algebra NC Objectives:

• Use simple formulae.

• Generate and describe linear number sequences.

• Express missing number problems algebraically.

• Find pairs of numbers that satisfy an equation with two unknowns.

• Enumerate possibilities of combinations of two variables.

Key vocabulary: formula, term, linear, expression, enumerate, variable, function, output, input, substitute.

Revision starter questions – Percentages, fractions, decimals and addition and subtraction word problems 1. Find a rule ––one step

2. Find a rule ––two step 3. Forming expressions 4. Substitution

5. Formulae

6. Forming equations (Not taught last year)

7. Solve simple one-step equations(Not taught last year) 8. Solve two-step equations (Not taught last year) 9. Find pairs of values

10. Enumerate possibilities 11. Mini Assessment

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NC Objectives:

• Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate.

• Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 dp.

• Convert between miles and kilometres.

Key vocabulary: kilogram, kilometre, milligram, millilitre, metric, imperial, centimetre, metre, gram, inch, pounds, pint.

Mini Starters / prior learning – secure understanding of place value, multiplying and dividing by 10,100 and 1000, size of units of measure e.g. being able to estimate the length of a metre, centimetre, km etc.

Revision starter questions – Revision of Algebra from previous unit, Multiplication and division word problems

1. Metric measures – consider splitting this into length and capacity and volume if required so children have a sense of scale and size.

This could also be built into the golden run (measuring and running 1km), jumping and measuring in PE, measuring in DT etc.

2. Convert metric measures 3. Calculate with metric measures 4. Miles and kilometres

5. Imperial measures

6. Mixed multi-step problems involving measure – use Testbase 7. Mini Assessment

Geometry: properties of shapes (Taught Via Seesaw) NC objectives:

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• Draw 2-D shapes using given dimensions and angles.

• Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygons.

• Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

Key Vocabulary: acute, obtuse, angle, polygon, isosceles, scalene, right angle, equilateral triangle, straight line, quadrilateral, regular shape, irregular shape, square, rectangle, rhombus, trapezium, kite, parallelogram, pentagon, hexagon, heptagon, octagon, parallel, perpendicular, vertex, sides, symmetry, symmetrical, properties, horizontal, vertical, diagonal lines, 2-D, 3-Dimensional, polyhedron, faces, edges, vertices,3-D shape names, planes, elevation.

Steps in progression (based on White Rose Scheme of Learning – see this for planning guide, although some steps have been added to or broken down further based on knowledge of children’s prior learning):

Revision LTs: Kilometres, metres, millilitres, litres, kilograms and grams reasoning questions, mental strategies, times tables

Mini starters / prior learning required to achieve objective as a reminder: recap angles (acute, obtuse, reflex, right, straight line) and estimate the size of angles, accurate measuring using a ruler, recap names of quadrilaterals, triangles and their properties, recap language of regular and irregular shapes

1. Recap: Y5 protractor 1 measuring acute angles, then Y5 protractor 2 measuring obtuse angles 2. Measure with a protractor

3. Introduce angles – this should be a recap from previous years so may not require a whole lesson 4. Calculate angles

5. Vertically opposite angles

6. Angles in a triangle – this should be a recap. Step 6 and 7 may be able to be combined as revision. Complete AfL to assess retention of prior learning

7. Angles in a triangle ––special cases 8. Angles in a triangle ––missing angles 9. Angles in special quadrilaterals

10. Recap: Y5 regular and irregular polygons to secure names of different polygons and properties, including regular and irregular shapes 11. Angles in regular polygons

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13. Properties of 3-D shapes – see session 19 of Y6 Geometry (investigate polyhedron) so children can name and describe the properties of pyramids, prisms and other 3-D shapes

14. Recap: Y5 reasoning about 3-D shapes to explore and create nets 15. Draw nets of 3-D shapes

16. Mini Assessment

Measurement: perimeter, area (Taught Via Seesaw)and volume NC objectives:

• Recognise that shapes with the same areas can have different perimeters and vice versa.

• Recognise when it is possible to use formulae for area and volume of shapes.

• Calculate the area of parallelograms and triangles.

• Calculate, estimate and compare volume of cubes and cuboids using standard units, including cm3, m3and extending to other units (mm3, km3)

Key Vocabulary: area, surface, 2-D shape, names of quadrilaterals, perpendicular, parallel, right angle, rectilinear, perimeter, compound shapes, regular, irregular shapes, formula, length, width, 3-D shape, volume, capacity

Revision LTs: Geometry revision, number lines - scales, reflection

Mini starters / prior learning required to achieve objective as a reminder: accurate measuring using a ruler, recap names of quadrilaterals, triangles and their properties, recap language of regular and irregular shapes

1. Shapes ––same area 2. Area and perimeter 3. Area of a triangle (1) 4. Area of a triangle (2)

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6. Area of parallelogram 7. Recap: What is Volume?

8. Volume ––counting cubes 9. Volume of a cuboid 10. Mini Assessment

Statistics NC objectives:

• Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius.

• Interpret and construct pie charts and line graphs and use these to solve problems.

• Calculate the mean as an average.

Key Vocabulary: tally, table, duration, difference, scale, intervals, continuous, discrete, value, x axis, y axis, estimate, radius, circumference, diameter, mean, average, pie chart, frequency

Revision LTs: Volume, area and perimeter word problems and reasoning questions, time related questions

Mini starters / prior learning required to achieve objective as a reminder: tally charts, bar graphs and simple line graphs, addition and subtraction to solve comparison problems, interpreting different scales and that scales have equal intervals, read analogue and digital clocks

1. Recap reading and interpreting tables, tally charts and bar graphs to solve comparison problems – see Y5 and Testbase 2. Read and interpret line graphs

3. Draw line graphs

4. Use line graphs to solve problems 5. Circles

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7. Pie charts with percentages 8. Draw pie charts

9. The mean

10. Recap: Y4 years, days, months, hours and build in more complex problems involving this

11. Recap: Y5 Statistics reading timetables – children will need to be secure with reading the time (analogue and digital) 12. Mini Assessment

Number: Ratio (Not Taught) NC objectives:

• Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.

• Solve problems involving similar shapes where the scale factor is known or can be found.

• Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

Key Vocabulary: scale factor, ratio, in every, for every, proportion, enlargement

Revision LTs: Data handling questions, formal methods, mental strategies Mini starters / prior learning required to achieve objective as a reminder:

Ratio was taught in Y5 so steps 1-3 could be a recap – use AfL to assess starting point.

1. Using ratio language 2. Ratio and fractions

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4. Calculating ratio 5. Using scale factors 6. Calculating scale factors

7. Ratio and proportion problems – develop this further with a range of different questions 8. Mini Assessment