SCHEME OF WORK YR 8 THETA 2 UNIT / LESSON
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1 SCHEME OF WORK YR 8 THETA 2 UNIT / LESSON STEPS STEPS FROM TO 1 Number 4th 6th OBJECTIVES 1.1 Calculations 5th 5th Use written methods to add and subtract with decimals. Calculate mentally. Calculate with money. Estimate answers to calculations. 1.2 Calculating with negative integers 4th 5th Add, subtract, multiply and divide positive and negative numbers. 1.3 Powers and roots 4th 6th Calculate using squares, square roots, cubes and cube roots. Use index notation for powers of numbers. Estimate the square root of a number. 1.4 Powers, roots and brackets 4th 6th Use mental methods to calculate combinations of powers roots and brackets. Use a calculator to check answers. 1.5 Multiples and factors 5th 6th Use index notation. 2 Area and volume 4th 6th Substitute numbers into formulas involving power, roots and brackets. Write a number as a product of its prime factors. Use prime factor decomposition to find the HCF and LCM. 2.1 Area of a triangle 5th 5th Derive and use the formula for the area of a triangle. Find areas of compound shapes. 2.2 Area of a parallelogram and 5th 6th Calculate areas of parallelograms and trapezia. trapezium 2.3 Volume of cubes and cuboids 4th 6th Calculate the volume of cubes and cuboids D shapes 4th 6th Sketch nets of 3D solids. 2.5 Surface area of cubes and cuboids 4th 6th Calculate the surface area of cubes and cuboids. 2.6 Problems and measures 4th 6th Calculate the volume of cubes and cuboids. Calculate the surface area of cubes and cuboids. Dedicated Improvement Time Common assessment - Summative assessment that assess a student's mastery of units 1&2 3 Statistics, graphs and charts 4th 7th 3.1 Pie charts 4th 5th Interpret simple pie charts. Calculate angles and draw pie charts. 3.2 Using tables 4th 6th Drawing and interpreting two-way tables. Calculating the mean from a simple frequency table. Tallying data into a grouped frequency table, designing a grouped frequency table, using a x < b notation, finding modal class and estimating range. 3.3 Stem and leaf diagrams 6th 6th Drawing and interpreting stem and leaf diagrams with different stem values.
2 Finding mode, median and range from stem and leaf diagrams, and comparing them for different data sets. 3.4 Comparing data 5th 6th Compare data using averages and range, including mean calculated from frequency table. Compare data using the shape of a line graph or pie chart. 3.5 Scatter graphs 5th 7th Draw scatter graphs. Draw line graphs to compare sets of data. Decide on the most appropriate average to use. Describe types of correlation. Draw a line of best fit by eye on a scatter graph. 3.6 FINANCE: Misleading graphs 5th 7th Identify graphs and charts that are misleading because of the scales used and missing axis labels, mainly in financial contexts. 4 Expressions and equations 4th 6th 4.1 Algebraic powers 6th 6th Understand and simplify algebraic powers. Substitute values into formulas involving powers. 4.2 Expressions and brackets 5th 6th Expand brackets. Make and simplify algebraic expressions. 4.3 Factorising expressions 6th 6th Factorise expressions. 4.4 One-step equations 4th 6th Find the inverse of a function. Solve simple equations using function machines. Solve real life problems using equations. 4.5 Two-step equations 5th 5th Solve two-step equations using function machines. Solve real life problems using equations. 4.6 The balancing method 5th 6th Solve equations using the balancing method. Solve equations with the unknown number on both sides. Dedicated Improvement Time Common assessment - Summative assessment that assess a student's mastery of units 3&4 5 Real-life graphs 5th 6th 5.1 Conversion graphs 5th 5th Reading values from conversion graphs. Plotting conversion graphs from a table of data. 5.2 Distance-time graphs 5th 5th Interpreting distance-time graphs. Plotting distance-time graphs from descriptive text. Using distance-time graphs to solve problems. 5.3 Line graphs 5th 5th Plotting line graphs from tables of data. Interpreting line graphs. 5.4 Complex line graphs 5th 5th Reading values from real-life graphs.
3 Describing trends and making predictions based on information presented graphically. Working out percentages. 5.5 STEM: Graphs of functions 5th 6th Draw, use and interpret conversion graphs. Draw, use and interpret distance-time graphs. Draw and interpret line graphs. 5.6 More real-life graphs 6th 6th Interpreting graphs. Draw, use and interpret real-life graphs. Discuss and interpret linear and non-linear graphs. Drawing and using real-life graphs. Using graphs to solve problems and make predictions. 6 Decimals and ratio 5th 7th 6.1 Ordering decimals and rounding 6th 7th Rounding whole numbers and decimals. Writing large numbers as a decimal number of millions. Ordering positive and negative decimals. Using the symbols > and < between two negative decimals. 6.2 Place-value calculations 5th 6th Multiplying larger numbers. Multiplying decimals with up to two decimal places. Multiplying any number by 0.1 and Calculations with decimals 6th 6th Adding and subtracting decimals of any size. Multiplying and dividing by decimals. Dividing by 0.1 and Ratio and proportion with decimals 5th 6th Using ratios involving decimals. Solving proportion problems involving decimals. 6.5 STEM: Using ratios 5th 6th Solving engineering problems using ratio and proportion. Using unit ratios. Dedicated Improvement Time Common assessment - Summative assessment that assess a student's mastery of units 5&6 7 Lines and angles 5th 6th 7.1 Quadrilaterals 5th 6th Matching quadrilaterals to their descriptions. Using known facts about quadrilaterals to solve problems. 7.2 Alternate angles and proof 5th 6th Using alternate angles to find unknown angles. Using reasoning to complete mathematical proofs. 7.3 Geometrical problems 5th 6th Solving geometrical problems using side and angle properties of triangles and quadrilaterals. Identifying corresponding angles. Solving problems using properties of angles in parallel and intersecting lines. 7.4 Exterior and interior angles 6th 6th Calculating the sum of the interior and exterior angles of a polygon.
4 Calculating the interior and exterior angles of a polygon. 7.5 Solving geometric problems 6th 6th Finding unknown angles by forming and solving equations. Solving geometrical problems showing reasoning. 8 Calculating with fractions 4th 7th 8.1 Adding and subtracting fractions 4th 5th Adding and subtracting fractions with any size denominator. 8.2 Multiplying fractions 5th 7th Multiply integers and fractions by a fraction Use appropriate methods for multiplying fractions. 8.3 Fractions, decimals and reciprocals 5th 7th Convert fractions to decimals. Write one amount as a fraction of another. Find the reciprocal of a number. 8.4 Dividing fractions 5th 7th Divide integers and fractions by a fraction. Use strategies for dividing fractions. 8.5 Calculating with mixed numbers 5th 7th Use the four operations with mixed numbers. Dedicated Improvement Time Common assessment - Summative assessment that assess a student's mastery of units 7&8 9 Straight-line graphs 5th 7th 9.1 Direct proportion on graphs 5th 6th Recognising when values are in direct proportion. Plotting graphs and reading values to solve problems. 9.2 Gradients 5th 7th Plot a straight-line graph and work out its gradient. 9.3 Equations of straight lines 6th 6th Plot the graphs of linear functions. Find midpoints of line segments. Write the equations of straight line graphs in the form y = mx + c 9.4 STEM: Direct proportion problems 6th 6th Identify and describe practical examples of direct proportion. Solve problems involving direct proportion with or without a graph. 10 Percentages, decimals and fractions 5th 7th 10.1 Fractions and decimals 5th 6th Recall equivalent fractions and decimals. Recognise recurring and terminating decimals. Order fractions by converting them to decimals or equivalent fractions Equivalent proportions 5th 6th Recall equivalent fractions, decimals and percentages.
5 Use different methods to find equivalent fractions, decimals and percentages. Use the equivalence of fractions, decimals and percentages to compare proportions Writing percentages 5th 6th Working out one number as a percentage of another. Working out percentage increase and decrease Percentages of amounts 6th 7th Use a multiplier to calculate percentage increase and decrease. Use the unitary method to solve percentage problems FINANCE: Solving problems 6th 6th Use strategies for calculating fractions and decimals of a given number. Dedicated Improvement Time - units 9&10 Common assessment - Summative assessment that assess a student's mastery of units 9&10 Use mental strategies of conversion and equivalence of fractions, decimals and percentages to solve word problems mentally.
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CAMI KEYS. TOPIC 1.1 Whole numbers to to to to to
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