YEAR 8 SCHEME OF WORK

Transcription

1 YEAR 8 SCHEME OF WORK Year 8 Term 1 Chapter: Week Topic :1: Working with 2.2:1: Working with :2: Geometry 2.2:2: Geometry :3: Probability 2.2:3: Probability Topic break-down (sub-topics) 1.1 Adding and subtracting negative 1.2 Multiplying and dividing negative 1.3 Factors and highest common factors (HCF) 1.4 Multiples and lowest common multiple (LCM) 1.5 Squares, cubes and roots Learning Objectives: Students will be able to: carry out additions and subtractions involving negative carry out multiplications and divisions involving negative understand and use highest common factors understand and use lowest common multiples Emerging Developing Independent/Secure understand and use squares and square roots understand and use cubes and cube roots understand and use powers and roots 1.4 Powers and roots 1.6 Prime factors know what prime are identify the prime factors of a number 2.1 Parallel and identify parallel lines perpendicular lines identify perpendicular lines 2.1 Angles in calculate angles in parallel lines parallel lines 2.2 Angles in know that the sum of the angles in a triangles and triangle is 180 quadrilaterals know that the sum of the angles in a 2.2 The geometric properties of quadrilaterals quadrilateral is 360 know the geometric properties of quadrilaterals 2.3 Translations know how translate a point or shape 2.4 Rotations know how rotate a shape 2.5 Constructions construct the mid-point and perpendicular bisector of a line construct an angle bisector 3.1 Probability scales 3.2 Collecting on a frequency table use a probability scale represent a chance collect and use it find probabilities decide if an event is fair or biased

2 3.2 Mutually recognise mutually exclusive events exclusive events 3.3 Mixed events recognise mixed events where you can distinguish different probabilities 3.3 Using a sample use a sample space calculate space calculate probabilities probabilities 3.4 Experimental probability 3.4 Experimental probability calculate probabilities from experiments 7 Extended project opportunity / revision 7 Assessment 8 HALF TERM :4: Percentages 2.2:4: Percentages :5: Sequences 2.2:5: Sequences :6: Area 2.2:6: Area of 2D and 3D shapes 4.1 Calculating percentages 4.2 Calculating the result of a percentage change 4.2 Calculating percentage increases and decreases 4.3 Calculating a change as a percentage 5.1 The Fibonacci 5.4 The Fibonacci 5.2 Algebra and function machines 5.3 The nth term of a 5.3 Working out the nth term of a 6.1 Area of a rectangle 6.2 Areas of compound shapes write one percentage as a percentage of a another calculate the result of a percentage increase or decrease use a multiplier calculate a percentage change work out a change in value as a percentage increase or decrease. know and understand the Fibonacci use algebra with function machines use the nth term of a work out the nth term of a use a formula work out the area of a rectangle work out the area of a compound shape

3 6.3 Area of a use a formula work out the area of a triangle triangle 6.4 Area of a work out the area of a parallelogram parallelogram 6.3 Area of a work out the area of a trapezium trapezium 6.4 Surface area of find the surface areas of cubes and cubes and cuboids cuboids 15 Assessment and review CHRISTMAS HOLIDAY :7: Graphs 7.1 Rules from recognise patterns with coordinates 2.2:7: Graphs coordinates 7.2 Graphs from draw graphs of linear rules rules 7.1 Graphs from recognise and draw the graph of a linear equations linear equations 7.2 Gradient work out the gradient in a graph from a (steepness) of a linear equation straight line work out an equation of the form y = :8: Simplifying 2.2:8: Simplifying 7.3 Graphs from simple quadratic equations 7.3 Graphs from simple quadratic equations 7.4 Distance-time mx + c from the graph recognise and draw the graph from a simple quadratic equation read and draw distance-time graphs graphs 7.4 Real-life graphs draw graphs from real-life situations illustrate the relationship between two variables 8.1 Powers of 10 multiply and divide by 100 and Large and rounding 8.3 Significant figures 8.4 Estimating answers 8.5 Problem solving with decimals 8.4 Standard form with large round large round one significant figure use rounding estimate rough answers calculations solve problems involving decimals write a large number in standard form

4 :9: Interpreting 2.2:9: Interpreting 8.5 Multiplying with in standard form 9.1 Information from charts 9.2 Reading pie charts 9.3 Creating pie charts 9.3 Scatter graphs and correlation 9.4 Creating scatter graphs 23 Assessment 24 HALF TERM :10: Algebra 2.2:10: Algebra 10.1 Algebraic notation :11: Congruence and scaling 2.2:11: Congruence and scaling multiply with in standard form revise reading from charts and tables interpret a pie chart use a scaling method draw pie charts read scatter graphs understand correlations create scatter graphs simplify algebraic expressions involving the four basic operations 10.2 Like terms simplify algebraic expression by combining like terms 10.3 Expanding remove brackets from an expression brackets 10.4 Using algebra use algebraic expressions in different 10.4 Using algebraic contexts expressions manipulate algebraic expressions 10.5 Using powers 10.5 Using index notation 11.1 Congruent shapes 11.2 Shape and ratio identify equivalent expressions write algebraic expressions involving powers recognise congruent shapes use ratio compare lengths and areas of 2D shapes 11.2 Enlargements enlarge a 2D shape by a scale factor er m 11.3 Scale diagrams 11.4 Scales 30 Revision 30 Assessment and review EASTER HOLIDAY :12: Fractions and 12.1 Adding and subtracting fractions understand and use scale diagrams know how use map ratios add and subtract fractions and mixed

5 decimals 2.2:12: Fractions and decimals :13: Proportion 2.2:13: Proportion :14: Circles 2.2:14: Circles 12.2 Multiplying fractions and integers 12.3 Dividing with integers and fractions 12.4 Multiplication with powers of ten 12.4 Multiplication with large and small 12.5 Division with powers of ten 12.5 Division with large and small 13.1 Direct 13.2 Graphs and direct 13.3 Inverse 13.4 Comparing direct and inverse 14.1 The circle and its parts 14.2 Circumference of a circle 14.3 Formula for the circumference of a circle 14.4 Formula for the area of a circle 37 Assessment 38 HALF TERM multiply by a fraction or a mixed number by an integer divide a unit fraction by an integer divide an integer by a unit fractions multiply by a power of ten multiply with combinations of large and small mentally mentally divide by a power of ten divide combinations of large and small mentally understand the meaning of direct find missing values in problems involving represent direct graphically and algebraically understand what is meant by inverse solve problems using inverse recognise direct and inverse and work out missing values know the definition of a circle and the names of its parts work out the relationship between the circumference and the diameter of a circle use a formula calculate the circumference of a circle use a formula calculate the area of a circle

6 :15: Equations and 2.2:15: Equations and :16: Comparing 2.2:16: Comparing 15.1 Equations solve simple equations 15.2 Equations with solve equations that include brackets brackets 15.2 Equations with solve equations with the variable on the variable on both both sides sides 15.3 More complex solve equations involving two equations operations 15.4 Substituting substitute values ina variety of in 15.4 Rearranging change the subject of a formula 16.1 Frequency create a frequency table from raw tables 16.2 The mean understand and use the mean average of 16.1 Grouped create a grouped frequency table from frequency tables raw 16.3 Drawing be able draw a diagram from a frequency diagrams frequency table 16.4 Comparing use the mean and range compare from two sources 16.5 Which average understand when each different type of use? average is most useful Extended project opportunity / revision 45 Assessment, revision and review