ee Lesson Plans for Year at MP Primary Practice ook b WR Imagine that this shape continues in any direction without ending, so it represents a plane. The rays a and b are drawn from the same starting point, P. P angle b a angle We call the two parts of the plane angles. We call the measure of them an angle too. Mark in red the angle which is greater than the other. raw these angles. (r.a. means ' right angle') α r. a. β r. a. γ. r. a. δ r. a. ε. r. a. α β γ δ ε tart at the compass direction orth and draw the rotations asked for. d) W W W W right angles clockwise right angles anti-clockwise half a right angle clockwise and a half right angles anti-clockwise Write down the angle formed by the arms of the clock in right angles. d) right angles right angle right angles right angles In your exercise book, draw a quadrilateral (if it is possible) which has: e.g. only one right angle two adjacent right angles and two angles which are not right angles exactly right angles d) right angles. Impossible or Page
ee Lesson Plans for Year at MP Primary Practice ook b WR Measure these angles using a protractor and write their sizes in the boxes. α b e c γ d h a β f g δ α 0 β 0 γ 0 δ 0 Measure these angles with a protractor and write their sizes in the boxes. α β a c b α 0 β d Use a ruler and protractor to draw the given angles. 0 0 a e d) 0 e) 0 f) 0 g s F t r Measure the angles of the triangle and add them up. γ α 0 β 0 b a γ 0 α + β + γ 0 α β c Page
ee Lesson Plans for Year at MP Primary Practice ook b WR Write the name of the type of angle in the box, then measure the angle. O a b a zero angle α 0 β O acute angle β 0 b d) e) f) b χ right angle χ 0 O a O δ a b obtuse angle δ ε b O a straight angle ε 0 b a g) γ O φ O b a reflex angle φ whole angle γ 0 Measure or calculate the angles marked on the clock. a 0 b 0 c 0 d 0 e 0 0 e d a b c Measure or calculate the angles between the given compass directions. W W W and and 0 ( ) (0 ) and d) and W ( ) ( ) e) and 0 f) and W (0 ) ( ) g) W and W. h) and. (. ) (. ) Page
ee Lesson Plans for Year at MP Primary Practice ook b WR Here is a sketch of some mountain peaks and the corresponding map. ketch Map orth Ridge lack Hill White Peak You are at the bridge () and want to walk to White Peak. On the map, draw and measure the angle at point between orth and your planned direction of travel. Write the angle and draw it on the compass diagram. W You have reached the top of White Peak and want to continue to orth Ridge. Measure the angle, in a clockwise direction, between orth and your next planned direction of travel. W Write the angle and draw it on the compass diagram. raw turns from orth by the given angles. Write the new compass directions below. d) e) W W W W W + 0 W W + W 0?? How many degrees is the angle between: i) and ii) and? If a ship sails and then turns to the right by 0, in which compass direction is the ship travelling now? If we are facing and turn to the right by, in which direction are we facing now? In your exercise book, write the angle made by the minute hand of a clock as it moves: minutes 0 minutes 0 minutes d) minutes e) minute. 0 0 0 0 Page
ee Lesson Plans for Year at MP Primary Practice ook b WR Measure the angles of this quadrilateral and add them up. α β γ c δ d δ γ b β α + β + γ + δ 0 α a tart at the compass direction orth and draw the rotations asked for. Write the new compass directions below the diagrams. d) W W W W and a half right angles clockwise half a right angle anti-clockwise and a half right angles clockwise and a quarter right angles clockwise outh ast orth West outh West ast outh-ast Measure or calculate the angles between the given compass directions. W and W 0 and and W d) and W e) W and W 0 f) W and W g) W and. h) W and 0 You are facing orth and turn clockwise to face outh-ast. Through what angle do you turn? You are facing orth-west and turn anti-clockwise through 0. In which direction are you now facing? fter turning anti-clockwise through, you are facing ast. In which direction were you facing at the start? d) You make equal turns from to. What angle is each turn? Page W W.
ee Lesson Plans for Year at MP Primary Practice ook b WR If the diagram has line symmetry, draw the lines of symmetry in red. If the diagram has rotational symmetry, mark the centre of rotation in green. d) e) f) g) h) Reflect the shape in the mirror line. Label the corresponding points ', ', etc. mirror line mirror line mirror line ' ' ' ' ' ' ' If the shape has line symmetry, draw the lines of symmetry. If the shape has rotational symmetry, mark the centre of rotation and label it. d) e) f) g) h) raw the mirror image of each shape and label the corresponding points. ' ' ' ' ' ' ' d) ' ' e) ' ' Page
ee Lesson Plans for Year at MP Primary Practice ook b WR Reflect quadrilateral in the x-axis, then reflect its image in the y-axis. y Fill in the missing signs., '', '''' '' '' ' ' x x, '', '''' '' '''' '' '' ' ' '' '''' Reflect the mouse in the y-axis. Label the image of point with ', etc. Reflect the original mouse in the x-axis. Label the image of with *, etc. Reflect the image in in the x-axis. Label the image of ' with '', etc. ' ' '' '' ' '' y ' x 0 '' * * * * (, ) (, ) (, ) (, ) (, ) ' (, ) ' (, ) ' (, ) ' (, ) ' (, ) * (, ) * (, ) * (, ) * (, ) * (, ) '' (, ) '' (, ) '' (, ) '' (, ) '' (, ) raw lines of symmetry on the polygons. d) e) f) g) h) i) t ' Imagine that the whole plane is reflected in mirror line t. re these statements true or false? Write T or F. ' ach half plane determined by t is a reflection of the other. ' very point in the plane has just image point. The image of any line is also a line. d) The image of a point on the mirror line is the point itself. e) The image of a line perpendicular to the mirror line is the line itself. f) The length of a line segment is greater than the length of its image. g) The size of any angle is equal to the size of its image. h) The midpoint between any point and its image ' lies on the mirror line. Page T T T T T F T T
ee Lesson Plans for Year at MP Primary Practice ook b WR Which of these shapes is symmetrical? raw the lines of symmetry.,,,,,, 0,, 0 Reflect the word PTR: in the x-axis y in the y-axis. x Two translations were done one after the other. Replace them with just one translation. raw arrows between the corresponding points on the diagram (e.g. ") '. cm '. cm. cm. cm +. cm cm '' '' cm. cm. cm (ccept slight variations) '' ' ' '' ' '' Measure the distance of each translation and write it below the arrow. How much shorter is your translation than the sum of the two given?. cm Translate the mouse by adding to the first coordinate and to the second coordinate of each vertex. y 0 iagram showing translation. (+, + + + 0 0 x Page
ee Lesson Plans for Year at MP Primary Practice ook b WR Reflect the points P, Q and R in line e. raw the triangles PQR and P'Q'R'. Measure the angles in each triangle and add them up. R P α Q Q' e α P' R' Join up congruent shapes in red and similar but not congruent shapes in blue. red blue Translate the shape according to the given vector (arrow). ' ' ' ' ' ' List the houses which are similar to one another. Houses, and are similar. The symbol ~ can be used to indicate similarity, e.g. house ~ house. Houses and are similar. Houses and are similar and equal. In your exercise book, list similar pairs of shapes. Write the ratio of enlargement or reduction beside each pair. imilar shapes and ratios shown on diagram.. F G.. Page
ee Lesson Plans for Year at MP Primary Practice ook b WR How many lines of symmetry do each of these letters have? raw them all. () () () () () If the shape has line symmetry, draw the lines of symmetry in red. If the shape has rotational symmetry, mark the centre of rotation in green. If the shape is a polygon, colour it yellow. Reflect each shape in the mirror line. Label the corresponding points ', ', etc. mirror line mirror line mirror line ' ' F ' ' ' ' F' ' ' ' F G ' ' G' ' F' Reflect the quadrilateral in the x-axis, then reflect its image in the y-axis. y '' T '''' T '' '' ' ' x '' d) '''' F T '' '' ' ' e) '' F Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR nlarge the square in the ratio of: i) : ii) :. Write the area inside each square. Reduce the triangle in the ratio of i) : ii) :. nlarge the semicircle in the ratio of: i) : ii) :. i) ii) i) ii) i) ii) < < < < < < ontinue enlarging the rhombus, the triangle and the regular hexagon. Write their areas as sequences in your exercise book. reas of parallelograms:,,,, 0 reas of triangles:,,,, reas of hexagons:,, ontinue dividing the large shape into congruent (equal) parts. () () olour similar triangles in the same colour. alculate their areas in your exercise book. F G e.g. G Page
ee Lesson Plans for Year at MP Primary Practice ook b WR In your exercise book, calculate the real area of the gardens shown in these plans. reas rea of diagram: cm cm cm rea of garden: 0 m 0 m 00 m rea of diagram: ( ) cm ( ) cm cm cm cm rea of garden: (0 00) m (0 0) m 000 m 00 m 00 m Fill in the coordinates of the points. (, ), (, ), (, ), (, ), (, ) ivide the coordinates of each point by. ' (, ), ' (, ), ' (, ), ' (, ), ' (, ) hange each of the original coordinates to its opposite number. " (, ), " (, ), " (, ), " (, ), " (, ) y ' ' ' ' ' 0 0 x '' '' '' '' '' omplete the drawing of the third cuboid. c a ontinue the sequences for sides a, b and c and for area () and volume (V). ontinue the sequences for a, and V. b c a b c a a:,,,,,,... (+ ) [ n, n,,,...] b:,,,, 0,,... (+ ) [ n, n,,,...] c:,,,,,... (+ ) [ n, n,,,...] :,,,,... [ n n, n,,,...] V:,,,,... [ n n n, n,,,...] a:,,,,,... [n, n,,,...] :,,,, 0,... [ n n, n,,,...] V:,,,,,... [n n n, n,,,...] b Page
ee Lesson Plans for Year at MP Primary Practice ook b WR Reflect the shapes in axis t. t ' ' ' ' ' I I' F H G G' H' L L' K' K J J' F' t ' ' ' ' L I H' G G' H K L' K' ' F F' R Q P J O M I' J' ' M' R' O' Q' P' ' X X' Y' Y T W W U V V' T' U' Write the coordinates of the shape. ( 0, ), (, ), (, ), ( 0, ), ( 0, ) y Rotate the shape by 0 around point O. ' ' ' Write the new coordinates. O '' '' ' (, 0 ), ' (, ), ' (, ), ' '' ' (, 0 ), ' (, 0 ) '' ' '' Repeat the rotation with the image. Write the new coordinates. '' ( 0, ) '' (, ), '' (, ), '' ( 0, ), '' ( 0, ) x Write the coordinates of the points in the original diagram and in its images in your exercise book. What kind of transformations have been done? (, ), ' (, ), '' (, 0) (, ), ' (, ), '' (, ) (, ), ' (, ), '' (, ) (, ), ' (0, ), '' (, ) (, ), ' (, ), '' (, ) ll movements are translations. to ': units horizontally to the right ' to '': units vertically up and units horizontally to the left (, ), ' (, ), '' (, ), * (, ) (, ), ' (, ), '' (, ) * (, ) (, ), ' (, ), '' (, ) * (, ) (, ), ' (, ), '' (, ) * (, ) (, ), ' (, ), '' (, ) * (, ) to ': Reflection in the y-axis ' to '': Reflection in the x-axis " to *: Rotation by 0 around point O Page
ee Lesson Plans for Year at MP Primary Practice ook b WR y ' ' ''' ''' ' ' ''' ''' ''' ' O * '' * * '' '' * * '' '' x Translate shape F so that the coordinates of point ' are (, ). Reflect the original shape F in the x-axis. Rotate the original shape F by 0 around point O. d) Rotate the original shape F by 0 around point O. Reflect shape in line e. Reflect its image in line f. Translate the image units to the right. d) Rotate the last shape by 0 around point O. Repeat the rotation several times. e ' ' ' ' M ' '' f '' '' '' '' ''' ''' ''' ''' ''' O Write beside each solid how many planes of symmetry it has. i) ii) iii) iv) square-based cuboid Which type of solid is formed by rotating each of the shaded shapes around the given axis? Write the names in your exercise book. square-based pyramid Page cuboid i) cylinder ii) iii) iv) e f g h cone cylinder sphere cylinder
ee Lesson Plans for Year at MP Primary Practice ook b WR nlarge the rectangle in the ratio of: i) : ii) :. Write the area and perimeter of each shape. nlarge the parallelogram in the ratio of: P i) P i) ii) ii) P units i) : ii) : olour similar triangles in the same colour. alculate their areas in your exercise book. F H G I J ~ F ~, ~ H, G I reas: : square units : square units : square unit : square units : square units F: of a square unit G: I: square unitsh: square units square units J: square units Write the coordinates of these points. (, ), (, ), (, ), (, ) (, ), F (, ). G (, ), H (, ), I (, ), J (, ), K (, ) L (, ), M (, ) Reflect the shape in the x-axis. Write the coordinates of: '' y F H G I J K L M 0 x ' ' (, ), ' (, ), J' (, ) J'' J' Reflect the new shape in the y-axis. Write the coordinates of: '' ' " (, ), " (, ), J" (, ) d) How have the coordinates of the original points changed to make the third shape? The original coordinates have changed to their opposite values in the rd shape. Page
unit ee Lesson Plans for Year at MP Primary Practice ook b WR If this square is unit, what part of the unit is each grid square? ompare the fractions. Fill in the missing signs. (<,, ) i) < ii) < iii) iv) v) vi) < vii) < viii) < ach rectangle is unit. olour red one part of each of the rectangles. Write below it what fraction the red part is of the whole unit. List the fractions in decreasing order................................ Write beside each fraction its opposite value., ;, ;, ; Use your ruler to measure and draw appropriate ticks on the number line, then mark on it and label all the eight fractions. 0 Write the fractions in increasing order. < < < < < < < Write these fractions in increasing order.,,,,,, < < < < < <,,,,,,, < < < < < < < Page
ee Lesson Plans for Year at MP Primary Practice ook b WR ach pentagon is unit. olour the given fractions and compare them. (<, or ) < < < < < (qual denominators, so greater fraction has greater numerator) ach circle is unit. olour two parts in each circle. Write the fractions coloured below the circles and compare them. (<, or ) ( ) ( ) ( ) ( ) Mark these fractions and their opposite values on the number line.,,,,, 0 < < < < < < < < < < < ( ) ( ) ( ) ( ) ( ) ( ) Fill in the missing numbers. + + + + + + + 0 + 0 0 ompare the fractions. Fill in the missing signs. (<, or ) d) < 0 < 0 g) e) h) 0 0 0 0 00 0 00 Page f)
ee Lesson Plans for Year at MP Primary Practice ook b WR Write different forms of the same quantities from the diagram. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ach hexagon is unit. Which form of the fraction shaded do they each show? Write each of these fractions in at least different forms. e.g. 0 0 ( 0, etc.) d) 0 ( 00 00, etc.) 0 0 0 0 0 0 0 ( 0 0 0, etc.) (, etc.) e.g. i) 0 ii) iii) v) iv) (cannot be simplified further, but ) vi) ompare the fractions and write them in increasing order. < < < < (e.g. < ) Page
ee Lesson Plans for Year at MP Primary Practice ook b WR List the numbers marked on the number line in increasing order and continue the sequence. 0,,,,,,,,... (+ ) or,,,,,,,,... (+ ) Fill in the missing numerators and denominators. Write other forms of the numbers. e.g. 0 0 0 etc. 0 0 + e.g. 0 0 etc. ompare the fractions in each pair. Fill in the missing signs. (<, or ) as 0 0 0 as as d) 0 as 0 0 0 0 e) as f) g) h) as as 0 0 as 0 0 0 0 0 0 red ( cm) blue ( cm) yellow ( cm) green ( cm) How many centimetres are in: fifths of 0 metres 00 cm fifths of metre? 0 cm Page
ee Lesson Plans for Year at MP Primary Practice ook b WR unit If this square is unit, what part of the unit is grid square? ompare the fractions. Fill in the missing signs. (<,, ) i) < ii) iii) iv) v) < vi) vii) < viii) Fill in the missing numerators and denominators. 0 d) 0 e) f) g) h) Mark these fractions on the number line.,,, 0,, 0 0 List all the fractions in decreasing order........ 0... <...... < <.. 0....... <..... <.............. ompare the quantities. Fill in the missing signs. (, <, ) litres 00 ml litres < 00 ml hours 00 minutes d) e) km < 00 m f) g) 0 m 0 cm h) days 0 hours years 0 months kg 00 g ompare the fractions. Fill in the missing signs. (<,, ) < < d) 0 0 0 e) < f) g) 0 < 0 h) Page 00
ee Lesson Plans for Year at MP Primary Practice ook b WR Put these numbers into three groups. Less than : qual to : Greater than :, ( ),,,,,, ( ), ( ), ( ) What part of each diagram is shaded? Write the fraction and show it as as an addition. d) + + + + + 0 0 + 0 ndrew planted ninths of his garden with strawberries and ninths of his garden with gooseberries. hade the part used for strawberries in red and the part used for gooseberries in green. What part of his garden did ndrew use to plant the fruit? What part of his garden did he not use to plant the fruit? red + green (or ) i) + ii) + + + iii) + + iv) + + + i) + + ii) + + iii) + + iv) + + v) + + vi) + + + + + + ( ) ( ) 0 d) 0 0 + 0 0 + 0 0 ( 0 ) Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR raw a rectangle which has an area of cm. cm cm olour cm of its area. e.g. cm or cm cm cm raw a rectangle which has an area of cm. e.g. cm cm cm cm Write the numbers below the dots marked on the number line. 0 0 alculate: i) + ( ) ii) + ( ) iii) + iv) + v) + ( ) vi) + ( ) i) from : ii) from : ( ) iii) from : ( ) iv) from : ( ) v) from : ( ) vi) from : ( ) nswer each question by writing an operation. How much should we add to 0 to get 0? dd 0 How much more is than? more How much should be added to to get? dd d) How much more is than? more e) How much should be added to to get? dd + + + ( ) + + d) e) f) g) h) i) 0 + 0 0 0 0 j) Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR o the calculations. + + ( ) + d) + + e) 0 + 0 0 + 0 0 ( ) f) g) + h) i) alculate the sums and differences. Use the diagrams to help you. 0 i) 0 ii) iii) 0 i) ii) iii) i) ii) iii) alculate the sums and differences. Write details in your exercise book if necessary. e) + + 0 + + 0 d) + + ( ) 0 0 0 or 0 0 f) + + 0 0 0 + + 0 g) h) i) 0 or tep tep tep tep tep tep tep,,,,,, 0 olve the equations. raw suitable number lines in your exercise book if necessary. a b c d) d + e) e f) f Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR Use the diagram to help you do the calculations. + + + + Use the diagram to help you do the calculations. + + 0 + + 0 or + Use the diagram to help you do the calculations. + 0 + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 dd and in different ways. omplete the diagrams and equations. + + 0 0 0 0 + 0 0 + + + Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR Jim planted eighths of his vegetable garden with beetroot and one quarter of it with leeks. green hade the part used for beetroot in red and the part used for leeks in green. What part of the vegetable garden has not yet been used? red a b d) d + e) e c f) f olve the problems in your exercise book. John has left. i) ally gave 0 stamps to her brother. ii) ally still has 0 stamps left. alculate the sums and differences. g) + 0 + 0 0 + 0 + 0 0 e) + + i) 0 0 + + d) f) 0 0 h) + + 0 + + What has been done to to get? What has been done to 0 to get? 0 0 What has been done to 0 to get? 0 0 0 d) What has been done to to get? Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR alculate the sums and differences. Write details in your exercise book. i) 0 0 0 iii) iv) + ( + ) + i) + ii) 0 0 0 + iii) + + + i) + ii) + + iii) i) + + ii) + + iii) i) iii) + + + ( ) ii) 0 + People in ritain need to heat their houses for months of the year. For what part of the year do ritish people Plan: (yr) not need to heat their houses? nswer: ritish people do not need to heat their houses for twelfths of the year. For how many months will ritish people Plan: (yr) months heat their houses over the next years? nswer: ritish people will heat their houses for months over the next years. The jugs each have a capacity of litres. The first jug is a third full, the second jug is half full and the third jug is a quarter full of water. If all the water is poured into one of the jugs Plan: what part of the jug will be filled? + + + + (jugs) nswer: The whole jug will be filled and twelfth of litres of water will overflow. What part of each square is shaded? ubtract the smallest from the greatest fraction. ifference between smallest and greatest is: Page 0 i) ii) iii) haded: 0
ee Lesson Plans for Year at MP Primary Practice ook b WR olve the equations. a b c d) d + e) e f) f g) g h) h + 0 + What part of the unit square is shaded? + What part is not shaded? (or + + ) What area is shaded if the area of the unit square is m? of m 0 (m ) The first number in a sequence is. We know that each of the other terms is more than the previous term. Write down the first five terms and add them up. e.g: + +, then add each time, so first terms are:,, 0,, (or,,,, ) um: + + 0 + + 0 Mum made butterfly cakes for aturday tea. If ndrew ate of them, how many cakes did he eat? If ella ate of them, how many cakes did she eat? If hristine ate of them, how many cakes did she eat? d) If Mum ate what was left, how many cakes did she eat? Three eighths of a m cm long pipe was cut off. What part of the pipe was left? How many cm were cut off? cm cm cm Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR o the calculations. Write details in your exercise book where needed. i) iii) + ii) 0 0 0 + + + (as + ) i) iii) + + ii) 0 0 0 + + i) iii) + + + 0 + 0 ii) 0 d) i) iii) + + + 0 0 0 + + 0 0 ii) 0 0 alculate: of 0 metres 0 m 0 m 0 m of hours of hour min of 0 litres 0 (litres) d) times 0 kg 0 kg + 0 kg 0 kg + 0 kg 0 kg or of 0 kg 0 0 0 kg alculate the whole quantity if: of it is 0 metres 0 metres of it is hours hours of it is litres litres d) times it is 0 kg 0 kg Jim was putting up a 0 m fence around his garden. On the first day he put up of the fence. How many metres of fence did he still have to put up? m I had marbles. I lost third of them, then I lost another marbles. How many marbles did I have left? marbles left What part of the marbles did I have left? Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR xchange the quantities. week days, day week, days week m 00 cm, cm m, cm 00 00 m h 0 min, min hour, 0 min 0 hour d) litres 00 cl, cl litre, 0 ml 00 litre xchange the quantities. o the calculations in your exercise book. 0 min hour, min hour, 0 min hours hour 0 min, hour min, hour min 0 0 cm m, 0 cm m, cm m 0 0 00 d) m 0 cm, m cm, m cm 0 e) cl litre, 0 g kg, m km 00 0 000 f) litres cl, kg g, km m 000 000 alculate the sums and differences. 0 0 0 + 0 0 0 0 e) 0 + + 0 d) f) 0 + + + 0 0 0 0 Fill in the missing numbers. o the calculations in your exercise book. + + d) e) + f) harlie spends a quarter of every week-day in school and third of the day sleeping. How many hours does he have left for doing other things? nswer: harlie has 0 hours left for doing other things. Page 0
ee Lesson Plans for Year at MP Primary Practice ook b WR alculate the quantities. of hours (hours) of 00 m 00 0 0 (m) of 0 kg 0 0 0 (kg) d) times 0 litres 0 + of 0 0 + 0 0 + (litres) alculate the whole quantity if: of it is hours of it is 00 m of it is 0 kg d) times it is 0 litres (hours) 00 0 0 (m) 0 (kg) 0 (litres) The farmer had some chickens. He sold of them and had 0 chickens left. How many chickens did the farmer have at first? 0 (chickens) xchange the quantities. min 0 sec kg 00 g km 00 m 0 d) litre 00 ml e) hour min f) yr month 0 0 g) 0 cl litre h) cm m i) 00 g kg j) 0 min hour k) hours day l) days week olve these problems in your exercise book. nn bought some mini chocolate eggs. he gave half of them to her nephews and nieces and used a quarter of them to decorate her aster cake. he had eggs left. How many mini chocolate eggs did she buy? eggs Mary made small cakes. he took thirds of them to the school fair and gave an eighth of them to her neighbours. How many cakes did Mary have left? 0 cakes Page 0