Year 8 Fast Track (Set 1)

Transcription

1 Year 8 Set 1 05/09/2016 Numeracy skills 12/09/2016 1: Number 1 19/09/ /09/ Algebra1 03/10/ /10/ /10/ S, S & M 1 24/10/2016 HALF TERM 31/10/ /11/ /11/ Number 2 Yr 8 Parents evening 17th 21/11/ /11/ Handling Data 1 05/12/ /12/ S, S & M 2 19/12/ DAY WK 26/12/2016 XMAS HOL 02/01/ Algebra 2 2 DAY WK 09/01/ /01/2017 MID YEAR TESTS 23/01/2017 MID YEAR TESTS 8. Number 3 30/01/ /02/ /02/2017 HALF TERM 20/02/ Handling Data 2 27/02/ /03/ /03/ Representing 3D Shapes & S, S & M 3 20/03/ /03/ /04/2017 EASTER HOL 10/04/2017 EASTER HOL 17/04/ Algebra 3 BANK HOL MON 24/04/ /05/2017 BANK HOL MON 08/05/ Ratio & Compound Units 15/05/ /05/ Algebra 4 29/05/2017 HALF TERM 05/06/2017 End of year test 12/01/ S, S & M 4 06/01/ /06/ /06/ Handling Data 3 26/06/ /07/2017 Page 1

2 10/07/ /07/2017 CATCH UP/ RE-VISIT 24/07/2017 Year 8 Fast Track (Set 1) Page 2

3 MODULE 1 Number 1 DURATION: 5 lessons PRIOR KNOWLEDGE Work out a percentage of a given number, with or without a calculator Write one number as a percentage of another number LEARNING OBJECTIVES N10, N11, N15 Understand and use equivalences between fractions, decimals and percentages Choose the correct calculation to work out a percentage R8, N15 Understand what simple interest is Solve problems involving simple interest Calculate the result of a percentage increase/decrease (with a multiplier) Choose the most appropriate method to calculate a percentage change Given the result of a percentage change, calculate the original value (reverse percentage) Understand and use compound interest RESOURCES New Collins Frameworking Yr 9 3:2 Ex 1A, B, C, D Compound interest 10 ticks KEYWORDS Original value Multiplier Increase/decrease Rate of interest Lender Simple interest/ compound interest VAT value added tax Percentage Equivalent Reverse percentage NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS Pg 20 Q 4 Simple Interest Pg 21 Q 5 Finance Pg 21 Q 7 % inc/dec Pg 21 Q 11 reverse % Page 3

4 MODULE 2 Algebra 1 DURATION: 7 lessons PRIOR KNOWLEDGE Collect like terms in an expression Use one or two operations to solve equations Substitute values into a formula Understand HCF LEARNING OBJECTIVES A4, A6? Multiply out brackets Factorise expressions A7, F3 Solve equations with one or more set of brackets Solve equations involving fractions A5, F3 Change the subject of a formula F4, M10, A2 To use trial & Improvement to estimate the value of a variable New Collins Frameworking Yr 9 3:2 Ex 2A, B, C Hodder Higher Tier Ex 6.6 RESOURCES KEYWORDS Equation Rearrange Collect like terms Solve Expression Formula Subject Factorise Simplify Expand Brackets HCF Decimal places Estimate Trial & Improvement NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS MR Pg 34 Section A, B & C Pg 39 Q 10 Simple interest & subject of formula Pg 39 Q 11 Subject of a formula Page 4

5 MODULE 3 Shape, Space and Measures 1 DURATION: 7 lessons PRIOR KNOWLEDGE The sum of interior angles of a triangle and of a quadrilateral The names of polygons How to solve equations LEARNING OBJECTIVES G3, G4, M5 Make accurate geometric constructions To construct the perpendicular bisector To construct the angle bisector G5, G12, M5 Work out the sum of the interior angles in a polygon Work out the exterior angles of polygons Work out the exterior and interior angles of a regular polygon Understand tessellation with reference to polygons RESOURCES New Collins Frameworking Yr 9 3:2 Ex 3A, B, C, D Hodder Higher Tier Ex 14.2, 14.3 Collins Higher Tier Ex 9C, D KEYWORDS Line segment Perpendicular Interior angle Polygon Regular/ irregular polygon Exterior/interior angle Chord Regular polygon Tessellate Semi-tessellation Perpendicular bisector Angle bisector Locus/loci Construct NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS MR Pg 57 Q2, 4 & 6 angles in polygons Pg 59 Q7 Locus MR Pg 59 Q8 Tessellation Page 5

6 MODULE 4 Number 2 DURATION: 5 lessons PRIOR KNOWLEDGE Add and subtract fractions LEARNING OBJECTIVES N2, N4, N11, F5 Add or subtract any two mixed numbers confidently Multiply two fractions Multiply one mixed number by another Divide one fractions or mixed number by another New Collins Frameworking Yr 9 3:2 Ex 7A, B, C, D RESOURCES KEYWORDS NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS Invert Convert Equivalent Improper/mixed fraction Reciprocal Pg 126 Q8, 9 & 10 apply fractions knowledge with other skills Pg 126 Q 14 PS in context Pg 126 Q16 Fractions in sequences Page 6

7 MODULE 5 Handling Data 1 DURATION: 5 lessons Read information from graphs Draw graphs on co-ordinate axes PRIOR KNOWLEDGE LEARNING OBJECTIVES S2, A13, M7 Interpret step graphs Interpret and draw time graphs Interpret and draw exponential graphs New Collins Frameworking Yr 9 3:2 Ex 5A, B, C RESOURCES KEYWORDS NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS Discontinuous graphs Step graph Line graph Time graph Distance-time graph Exponential growth graph Pg 96 Q1 Step Graph Pg 97 Q4 Time, speed graph Pg 97 Q6 Exponential graph Page 7

8 MODULE 6 Shape, Space and Measure 2 DURATION: 5 lessons Square a number Calculate the square root of a number PRIOR KNOWLEDGE LEARNING OBJECTIVES G13, G14, M2? Understand Pythagoras Theorem Calculate the length of the hypotenuse or short side of a right-angled triangle Show that a triangle is right-angled Use Pythagoras Theorem to solve problems New Collins Frameworking Yr 9 3:2 Ex 6A, B, C, D RESOURCES KEYWORDS NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS Hypotenuse Pythagoras Pythagoras Theorem Shorter side Equilateral triangle Vertical Pythagorean triple PS MR MR PS Pg 113 Q4 Show that.. Pg 113 Q5 Apply Pythagoras Pg 113 Q6 Apply Pythagoras in context Pg 113 Q7 Page 8

9 MODULE 7 Algebra 2 DURATION: 7 lessons PRIOR KNOWLEDGE To expand and factorise expressions in simple cases LEARNING OBJECTIVES A1, A3, A4, N3 Expand a term with a variable or constant outside brackets Take out a variable as a factor Multiply out two brackets New Collins Frameworking Yr 9 3:2 Ex 8A, B, C RESOURCES KEYWORDS NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS Factor Factorise HCF Variable Expand product PS Pg 138 Q3 Show that MR Pg 138 Q5 Draw diagram to explain PS Pg 138 Q11 PS Pg 138 Q12 Show that.. Page 9

10 MODULE 8 Number 3 DURATION: 7 lessons PRIOR KNOWLEDGE Multiply and divide by powers of 10 (10, 100, 0.1 and 0.01) LEARNING OBJECTIVES N5, F1 Understand and work with both positive and negative powers of 10 N8 Understand and work with standard form, using both positive and negative powers of 10 N13, N14, N15 Round numbers where necessary to an appropriate or suitable degree of accuracy Learn and understand some routines that can help in mental arithmetic New Collins Frameworking Yr 9 3:2 Ex 9A, B, C, D RESOURCES KEYWORDS Index notation Powers Standard form Decimal places Estimate Rounding Significant figures Brackets Order of operations BIDMAS Positive/negative power Electron Appropriate degree of accuracy NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS Pg 158 Q2 Best buys Pg 159 Q7 Standard Form Page 10

11 MODULE 9 Handling Data 2 DURATION: 7 lessons PRIOR KNOWLEDGE Calculate averages mean, median and mode Use a suitable method to collect data Draw and interpret graphs for discrete data Use mode, median, mean and range to compare two sets of data LEARNING OBJECTIVES S1, S2 Interpret a variety of two-way tables Compare two sets of data from statistical tables and diagrams Use and interpret a variety of time series graphs S3 Draw and interpret scatter graphs Infer a correlation from two related scatter graphs Plan a statistical investigation RESOURCES New Collins Frameworking Yr 9 3:2 Ex 4A, B, C, D, E KEYWORDS Trend Time series graph Positive/negative/no correlation Scatter graph Two-way table Mean, median, mode Range NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS MR Pg 80 Q1 Interpret MR Pg 81 Q2 Compare MR Pg 81 Q3 Scatter graph PS Pg 81 Q4 Scatter graph Page 11

12 Representing 3D shapes Plans And Elevations Learning Objectives: 1. To interpret 2 D representations of 3D shapes 2. To analyse 3D shapes using plans, elevations and isometric drawings 3. To develop their reasoning ability in spatial contexts Starter: to be able to draw multi-link cubes onto isometric paper practise Time: 1-2 hours or if possible 80 mins Resources: Building Houses 1& 2 OHT 1 Plans & Elevations OHT 2 Isometric drawing Card set A Perspectives Card set B - Plans & Elevations Card set C - Isometric drawing Squared & triangular grid paper & isometric graph paper Multi-link cubes Need a set of each card set for each group of 4 Lesson: Building house 1: In groups of 2 or 4 ask what they think this house looks like from above (plan), from the front (front elevation), from the right side ( right side elevation) draw onto squared grid paper. Discuss: Could add colour to picture plan in red, front elevation coloured in blue, and right side elevation coloured in green this helps focus Repeat with Building house 2, OHT 1 In groups of 2/4 using card sets A & B match up the perspectives to the plans & elevations give reasons for each match. Do not pack these away but leave out (needed later) Sketch a cube house for the remaining 3 plans & elevations cards onto perspective card F (& make it using multi-link cubes) Using 4 multi-link cubes make all possible arrangements & draw onto isometric paper. OHT 2 Isometric drawings -which shows perspective card F together with isometric drawing. Explain how this shows how cubes can be hidden in the isometric view. Give out Card set C & match the drawings to the previous card set A & B Plenary: Present them with a front and side elevation & ask them to draw a plan, sketch or to make it using multi-link cubes. See below for example Front Side elevation Page 12

13 MODULE 10 Shape, Space and Measure 3 DURATION: 7 lessons PRIOR KNOWLEDGE Calculate areas of 2D shapes Calculate the surface area and volume of a cuboid LEARNING OBJECTIVES R1 Convert from one metric unit to another G1, G2 Calculate the volume of a prism Calculate the surface area of a prism Calculate the volume of a cylinder Calculate the curved surface area and the total surface area of a cylinder New Collins Frameworking Yr 9 3:2 Ex 10A, B, C, D, E Pg Problem solving task RESOURCES KEYWORDS Dimension Area Mass Capacity, volume Metric units, hectare Circumference Diameter Radius Pi Surface area Prism Cylinder Conversion factor Hexagonal/octagonal prism Trapezium NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS Extension task composite shapes MR Pg 178 Q3 Area of circle MR Pg 178 Q5 Surface area with Pythagoras PS Pg 178 Q7 Volume of cylinder Page 13

14 MODULE 11 Algebra 3 DURATION: 7 lessons PRIOR KNOWLEDGE Draw linear graphs of the form y = mx + c Draw a simple quadratic graph LEARNING OBJECTIVES F6, M1, M3, A1, A2, A9, A10 Draw any linear graph from any linear equation Solve a linear equation from a graph Draw graphs from quadratic equations Solve a quadratic equation by drawing a graph A12, M1, M3 Solve a pair of simultaneous equations graphically New Collins Frameworking Yr 9 3:2 Ex 11A, B RESOURCES KEYWORDS Linear equation Substitute Quadratic Quadratic equation Variable Solution Simultaneous equations NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS PS Pg 192 Q2, 5 plot & interpret quadratic PS Pg 192 Q4, 6 Simultaneous equation graphically PS & MR Pg 192 Q9 Interpret Quadratic Graphs MR Pg 192 Q10 Page 14

15 MODULE 12 Ratio: Compound Units DURATION: 7 lessons PRIOR KNOWLEDGE Know what is meant by direct proportion Know the standard units of length, mass, capacity and volume Calculate the volumes of simple shapes LEARNING OBJECTIVES R9, R10 Understand and use the measures of speed Understand and use density and other compound units Understand & use unit pricing (best buys) New Collins Frameworking Yr 9 3:2 Ex 12A, B, C & D RESOURCES KEYWORDS Compound unit Speed Density Rate Mass NOTES & MISCONCEPTIONS Ensure use of correct units of measure EXAM STYLE QUESTIONS FS Pg 208 Q1 speed FS PS Pg 209 Q10 Best buys- unit cost FS PS Pg 209 Q12 Best buys- unit cost FS PS Pg 209 Q13 Best buys- unit cost Page 15

16 MODULE 14 Shape, Space and Measure 4 DURATION: 7 lessons PRIOR KNOWLEDGE Know what a right angled triangle is Round numbers to a suitable degree of accuracy Know what a hypotenuse is Change a fraction into a decimal LEARNING OBJECTIVES G14 Understand what trigonometric ratios are Understand what the trigonometric ratios sine, cosine and tangent are Find the angle identified from a trigonometric ratio Find an unknown length of a right-angled triangle given one side and another angle RESOURCES New Collins Frameworking Yr 9 3:2 Ex 13A, B, C Links to: Barnes Wallis & bouncing bomb Pg 228 & 229 KEYWORDS Adjacent Opposite Hypotenuse Similar Tangent Cosine Sine Ratio Inverse trigonometric function Decimal place NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS PS Pg 227 Q4 find area of Triangle MR Pg 227 Q6 Apply Trigonometry Pg 227 Q7 Page 16

17 MODULE 15 Handling Data 3 DURATION: 6 lessons PRIOR KNOWLEDGE Draw and interpret line graphs Plot data on a co-ordinate grid Find mean, median, mode and range from a set of data LEARNING OBJECTIVES S1, S2 To draw accurately cumulative frequency graphs To use cumulative frequency graphs to find a measure of dispersion the interquartile range To use cumulative frequency graphs to find the median To read & interpret box & whisker plots To accurately draw box & whisker plots Hodder Higher tier Ex 21.4, Collins Higher Tier Ex 18 C, D, E AQA Maths GCSE text Ex 2E, 3B, 3A, 3C RESOURCES KEYWORDS Cumulative Frequency diagram Dispersion Interquartile range Lower quartile Upper quartile Median Box & whisker plot (box plot) Highest value Lowest value NOTES & MISCONCEPTIONS EXAM STYLE QUESTIONS MR AQA text Pg 67 Q2 Additional questions available : Cambridge.org/uk schools/gcsemaths Use GCSE Questions on box plots & Cumulative frequency graphs Page 17

18 Building Houses 1 Year 8 Fast Track (Set 1) Building Houses 2 Back to Pre-Module 10 Teacher Notes Page 18

19 SSM 3 OHT 1 Plans and Elevations Year 8 Fast Track (Set 1) Back to Pre-Module 10 Teacher Notes Page 19

20 SSM3 OHT 2 Isometric Drawing Year 8 Fast Track (Set 1) Back to Pre-Module 10 Teacher Notes Page 20

21 Perspectives Card set A Back to Pre-Module 10 Teacher Notes Page 21

22 Perspectives Card set B Year 8 Fast Track (Set 1) Back to Pre-Module 10 Teacher Notes Page 22

23 Perspectives Card set C Year 8 Fast Track (Set 1) Back to Pre-Module 10 Teacher Notes Page 23

24 Back to Pre-Module 15 Teacher Notes Page 24

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