KS3 Scheme of Work - Year 8 - SET 1: IMPACT 2R

MATHS DEPARTMENT

YEAR 8

SCHEME OF WORK

SET 1: IMPACT 2R

2R PLAN

AUTUMN TERM – FIRST HALF

Topic 1 / Number / 2R Ch. 1
Topic 2 / Angles / 2R Ch. 2
Topic 3 / Fractions, Decimals & Percentages / Additional Transition Unit
Topic 4 / Fractions & Ratio / 2R Ch. 3
Topic 5 / Probability / 2R Ch. 4

TEST 1

AUTUMN TERM – SECOND HALF

Topic 6 / Decimals / 2R Ch. 5
Topic 7 / Shape & Measure / 2R Ch. 7
Topic 8 / Percentages / 2R Ch. 6

TEST 2

SPRING TERM – FIRST HALF

Topic 9 / Positive & Negative Numbers / 2R Ch. 8
Topic 10 / Multiplicative Relationships / Additional Unit
Topic 11 / Working with Algebra / 2R Ch. 10

TEST 3

SPRING TERM – SECOND HALF

Topic 12 / Handling Data + unit / 2R Ch. 13 + Additional Unit
Topic 13 / Number Patterns / 2R Ch. 9
Topic 14 / Perimeter, Area & Volume / 2R Ch. 15

TEST 4

SUMMER TERM – FIRST HALF

Topic 15 / Averages / 2R Ch. 16
Topic 16 / Graphs / 2R Ch. 12
Topic 17 / Problem Solving / Additional Unit

TEST 5

SUMMER TERM – SECOND HALF

Topic 18 / Formulae & Equations / 2R Ch. 14
Topic 19 / Transformations / 2R Ch. 11

“OPTIONAL TESTS“

Topic 20 / Thinking Proportionally / Additional Transition Unit
Topic 21 / Investigation

AUTUMN TERM A TOPIC 1

Topic: Number

/ NC Level: 4 - 7
NC Programme of Study:
Ref2ab: use previous understanding of integers and place value to deal with arbitrarily large positive numbers and round them to a given power of 10; order integers.
Ref3h: round to the nearest integer and to one significant figure; estimate answers to problems involving decimals.
Ref4c: use a variety of checking procedures, including working through the problem backwards, and considering whether the result is of the right order of magnitude.
Learning Objectives:
·  understand place value, recognising HTU etc with large numbers.
·  recognise and use multiples, factors, common factor, HCF, LCM and primes
·  use squares, positive and negative square toots, cubes and cube roots, and index notation for small positive integer powers
·  round positive numbers to any given power of 10
·  make and justify estimates and approximations of calculations
·  round numbers to 1 significant figure
·  use inverse operations to check calculations
Key Vocabulary:
MILLIONS BILLIONS MULTIPLE FACTOR PRIME POWER ROUND NEAREST SIGNIFICANT FIGURE CHECK ESTIMATE
INVERSE OPERATION
Impact Reference:

Book 2R – ch. 1

/ Other references:

V4 - ch.2-4 V5 – ch. 2 V8 – ch. 2 KM83 – 1-2

Mental & Oral Starters:

2R folder: pg. 4 – 5

101 Starters: pg. 14-18, 22, 47, 58

Discussion opportunities:
Discuss whether an answer is ‘sensible’.
Pair / Group Work:
Students can show each other their methods or check each others’ answers; compare estimations.
ICT Links:

SMILE

Spiritual/Moral/Citizenship Links:
Investigation:
Time: 4 – 5 lessons

AUTUMN TERM A TOPIC 2

Topic: Angles / NC Level: 4 - 6
NC Programme of Study:
Ref 2abcdg: recall and use properties of angles at a point, angles on a straight line, perpendicular lines and opposite angles at a vertex. Distinguish between acute, obtuse, reflex and right angles; estimate the size of an angle in degrees. Use parallel lines; the angle sum of a triangle is 180 degrees. Use angle properties of equilateral, isosceles, and right-angled triangles; understand congruence, recognising when 2 triangles are congruent; explain why the angle sum of any quadrilateral is 360 degrees. Calculate and use the sums of interior and exterior angles of quadrilaterals, pentagons and hexagons; calculate and use the angles of regular polygons.
Ref4bd: understand angle measure, using the associated language. Measure and draw lines to the nearest millimetre and angles to the nearest degree; draw triangles and other 2D shapes using a ruler and protractor, given information about their side lengths and angles.
Learning Objectives:
·  Use angle measure; distinguish between and estimate the size of acute, obtuse and reflex angles.
·  Identify parallel and perpendicular lines; know the sum of right angles, angles at a point, on a straight line and in a triangle. Recognise vertically opposite angles.
·  Identify alternate angles and corresponding angles
·  Understand the proof that :
-  the sum of the angles of a triangle is 180° and quadrilateral is 360°
-  the exterior angle of a triangle is equal to the sum of the 2 interior opposite angles
·  Find the interior and exterior angles of different polygons
·  solve the geometrical problems of side and angle properties or equilateral, isosceles and right angled triangles and special quadrilaterals, explaining reasoning with diagrams and text
·  classify quadrilaterals by their geometric properties
Key Vocabulary:

MEASURE DRAW ESTIMATE LINE AT A POINT TRIANGLE QUADRILATERAL POLYGON REGULAR PARALLEL

Impact Reference:

Book 2R – ch. 2

/ Other references:

V4 - ch. 13, 18 V5 – ch. 15 V6 - ch. 12, 13 KM83 – 5, 7

Mental & Oral Starters:
2R folder: pg. 20 - 22
101 Starters: pg. 73, 79, 80
Discussion opportunities:
Pair / Group Work:
ICT Links:
SMILE – Angle 360, Snooker. LOGO can be used to construct shapes; experiment with angles.
Spiritual/Moral/Citizenship Links:
Investigation:
Time: 8 lessons

AUTUMN TERM A TOPIC 3

Topic: Fractions, Decimals &

Percentages

/ NC Level:
NC Programme of Study:
Learning Objectives:
·  Begin to use the equivalence of fractions, decimals and percentages to compare proportions
·  Recall known facts including fraction to decimal conversions
·  Use known facts to derive unknown facts, including products such as 0.7 & 6, and 0.03 & 8
·  Consolidate and extend mental methods to include decimals, fractions and percentages
·  Solve word problems mentally
Key Vocabulary:
EQUIVALENT FRACTION DECIMAL PERCENTAGE
CONVERT NUMERATOR DENOMINATOR PROPORTION
Impact Reference:
/ Other references:

Transition Unit lessons N2.1 & N2.2

Mental & Oral Starters:

See lesson plans

Discussion opportunities: / Pair / Group Work:
ICT Links:
Spiritual/Moral/Citizenship Links:
Investigation:
Time: 2 lessons

AUTUMN TERM A TOPIC 4

Topic: Fractions & Ratio

/ NC Level: 5 & 6
NC Programme of Study:
Ref2cd: Use fraction notation; understand equivalent fractions, simplifying a fraction by cancelling all common factors; order fractions by rewriting then with a common denominator. Use decimal notation and recognise that each terminating decimal is a fraction.
Ref3cdf: Calculate a given fraction of a given quantity, expressing the answer as a fraction; express a given number as a fraction of another; add and subtract fractions by writing them with a common denominator; perform short division to convert a simple fraction to a decimal. Understand and use unit fractions as multiplicative inverses; multiply and divide a given fraction by an integer, by a unit fraction and by a general fraction Divide a quantity in a given ratio.
Learning Objectives:
·  know that a recurring decimal is a fraction
·  use division to convert a fraction to a decimal
·  understand addition and subtraction of fractions
·  use the laws of arithmetic and inverse operations
·  add and subtract fractions by writing them with a common denominator
·  calculate fraction of quantities (fraction answers)
·  multiply and divide an integer by a fraction
·  consolidate understanding of the relationship between ratio and proportion
·  reduce a ratio to its simplest form, including a ratio expressed in different units, recognising links with fraction notation
·  divide a quantity into 2 or more parts in a given ratio
·  use the unitary method to solve simple word problems involving ratio and direct proportion
Key Vocabulary:

MIXED NUMBER IMPROPER EQUIVALENT CANCEL SIMPLIFY LOWEST TERMS NUMERATOR DENOMINATOR DECIMALS COMPARE RATIO SCALE

Impact Reference:

Book 2R – ch. 3

/ Other references:

V4 - ch.6 V5 – ch. 5 V6 - ch.2, 4 KM83 – ch. 9

Mental & Oral Starters:

2R folder: pg. 42 - 44

101 Starters: pg. 36-38, 56, 60

Discussion opportunities:
Pair / Group Work:
Adapting recipes – enough to feed the whole class – display work.
ICT Links:
Spiritual/Moral/Citizenship Links:
Investigation:

Find ratios in real life – e.g. no. of boys to girls in school, in population.

Time: 9 – 10 lessons

AUTUMN TERM A TOPIC 5

Topic: Probability

/ NC Level: 5 & 6
NC Programme of Study:
Ref3a: Design and use data collection sheets for grouped discrete and continuous data; collect data using various methods including observation, controlled experiment, data logging, questionnaires and surveys.
Ref4cdef: Understand and use the probability scale. Understand and use estimates or measures of probability from theoretical models, including equally likely outcomes, or from relative frequency. List all outcomes for single events, and for 2 successive events in a systematic way. Identify different mutually exclusive outcomes and know that the sum of the probabilities of all these outcomes is 1.
Learning Objectives:
·  use the vocabulary of probability when interpreting the results of an experiment
·  appreciate that random processes are unpredictable
·  understand that if the probability of an event occurring is p, then the probability of it not occurring is 1 – p (numerically rather than algebraically at this level)
·  find and record all possible outcomes for single events and 2 successive events in a systematic way using diagrams or tables.
·  estimate probabilities from experimental data, understand that:
-  if an experiment is repeated there may be different outcomes
-  increasing the number of times an experiment is repeated generally leads to better estimates of probability
Key Vocabulary:
CALCULATE TOTAL EVENT OUTCOME NOT HAPPENING EXPERIMENTAL SAMPLE SPACE DIAGRAM
Impact Reference:

Book 2R – ch. 4

/ Other references:

V4 - ch.22 V5 – ch. 22-24 V6 - ch.20 V7 – ch. 22, 23 KM83 – 8

Mental & Oral Starters:

2R folder: pg. 58 - 59

101 Starters: pg. 99 - 101

Discussion opportunities:
Discuss the likelihood of things happening in everyday life.
Pair / Group Work:
Probability experiments can be done in pairs to ensure results are recorded carefully.
‘Play your cards right’, human probability scale, Bingo with dice.
ICT Links:

SMILE

Spiritual/Moral/Citizenship Links:
Morality of gambling.
Investigation:
Investigate the probability of real events occurring – set up hypotheses etc.
Time: 6 lessons – perhaps more depending on practical work

AUTUMN TERM B TOPIC 6

Topic: Decimals
/

NC Level: 4, 5 & 7

NC Programme of Study:
Ref2d: Use decimal notation and recognise that each terminating decimal is a fraction.
Ref3chijk: Perform short division to convert a simple fraction to a decimal. Round to the nearest integer and to 1 significant figure; estimate answers to problems involving decimals. Use standard column procedures for addition and subtraction of integers and decimals. Develop a range of strategies for mental calculation; derive known facts from those they know; add and subtract mentally numbers with up to 2 decimal places; multiply and divide numbers with no more than one decimal digit using factorisation where possible. Use standard column procedures for multiplication of integers and decimals, understanding where to position the decimal point by considering what happens if they multiply equivalent fractions; solve a problem involving division by an integer.
Learning Objectives:
·  order fractions by writing them with a common denominator or by converting them to decimals
·  recall known facts, including fraction to decimal conversions
·  use known facts to derive unknown facts, including products involving numbers such as 0.7 and 6, and 0.03 and 8
·  consolidate and extend mental methods of calculation, working with decimals, fractions and percentages
·  order decimals
·  use standard column procedures for addition and subtraction of decimals
·  multiply and divide decimals by powers of 10
·  round decimals to the nearest whole number, or to one or two decimal places
·  use standard column procedures for multiplication and division of decimals; understand where to position the decimal point by considering equivalent calculations
·  find approximate answers to calculations, checking a result by considering whether it is of the right order of magnitude and by working the problem backwards
Key Vocabulary:
ORDER DECIMAL POINT FRACTION ROUND NEAREST PLACE ESTIMATE SIGNIFICANT FIGURE
Impact Reference:

Book 2R – ch. 5

/ Other references:

V4 - ch.6 V5 – ch. 4, 5 V6 - ch.2 V7 – ch. 2 KM83 – 9

Mental & Oral Starters:

2R folder: pg. 74 - 75

101 Starters: pg. 38

Discussion opportunities:
Pair / Group Work:
ICT Links:
Spiritual/Moral/Citizenship Links:
No matter how small, everything is significant.
Investigation:
Time: 6 – 7 lessons

AUTUMN TERM B TOPIC 7

Topic: Shape & Measure
/

NC Level: 4 - 6

NC Programme of Study:
Ref 2fijk: Recall the essential properties of special types of quadrilateral, including square, rectangle, parallelogram, trapezium and rhombus; classify quadrilaterals by their geometric properties. Recall the definition of a circle and the meaning of related terms including centre, radius, chord, diameter, circumference, tangent, arc, sector, and segment. Explore the geometry of cuboids and shapes made from cuboids. Use “2D representations of 3D shapes and analyse 3D shapes through 2D projections and cross sections including plans and elevation.
Ref 4ade: Interpret scales on a range of measuring instruments, including those for time and mass; know that measurements using real numbers depend on the choice of unit; convert measurements from one unit to another; know rough metric equivalents of pounds, feet, miles, pints and gallons. Measure and draw lines to the nearest millimetre and angles tot he nearest degree; draw triangles and other 2D shapes using a ruler and protractor, given information about their side lengths and angles; construct cubes, regular tetrahedra, square based pyramids and other 3D shapes from given information. Use straight edge and compasses to do standard constructions, including an equilateral triangle with a given side, the midpoint and perpendicular bisector of a line segment, the perpendicular from a point to a line, the perpendicular from a point on a line and the bisector of an angle.
Learning Objectives:
·  solve geometrical problems using side and angle properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, explaining reasoning with diagrams and text
·  classify quadrilaterals by their geometric properties
·  use straight edge and compasses to construct:
-  a triangle given 3 sides
-  the midpoint and perpendicular bisector of a line segment
-  the bisector of an angle
-  the perpendicular from a point to a line
-  the perpendicular from a point on a line
·  know and use geometric properties of cuboids and shapes made from cuboids
·  use plans and elevations
·  know rough equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons)
Key Vocabulary:
CIRCLE CONSTRUCTION POLYGON BISECT PERPENDICULAR SOLID NET PLAN ELEVATION METRIC IMPERIAL UNIT
Impact Reference:

Book 2R – ch. 7