Progress Challenges Maths Pathway: Shape & Space - Movement and Turns Can you use clockwise and anticlockwise in instructions? Can you make whole, half and quarter turns? Can you distinguish between straight and turning movements, giving directions using left and right? Can you follow simple directional symbols? Go to the bookcase and make a quarter turn anticlockwise to face the window. I can move the beebot a half turn to face the other way? Go straight across the playground and when you reach the bin turn left. I am going this way because the arrow is pointing in this direction. Progress Challenges Maths Pathway: Shape - Position Can you describe position and movement? Can you use ordinal numbers to describe position in a row or line? Can you describe position using a wider range of language? Can you use everyday words to describe position and respond to positional language? The pirate has travelled 2 squares forward, made a quarter clockwise turn and moved 1 square forward. He is now in C4. The teddy is the first object in the line, the car is second and the beanbag is third. Near to, far from, next to, etc At the corner of, further away from Next to… on top… behind… below… under Progress Challenges Maths Pathway: Shape - Symmetry Can you identify all the symmetries of 2D shapes – reflections and rotation symmetry? Can you recognise oblique lines of symmetry in shapes? Can you identify lines of symmetry by folding 2D shapes and recognise when a shape does not have a line of symmetry? Can you recognise and draw a line of symmetry or construct patterns with a line of symmetry? This shape has x lines of symmetry. I know this because… If I fold my square diagonally, I have found an oblique line of symmetry. I have folded this square 6 times and found lines of symmetry using my mirror. I have made my pattern the same on both sides, using a mirror to check. Progress Challenges Maths Pathway: Shape - Angles Can you identify alternate, corresponding and supplementary angles involving parallel lines? Can you draw angles to the nearest 1˚ and use language associated with angles? This is an alternate angle because… this is a corresponding angle because… Acute, obtuse, reflex, complementary and supplementary Can you draw angles to the nearest 5 ˚? Can you recognise angles as a measure of turn and know that one whole turn is 360˚? Can you use the terms acute and obtuse? Can you identify a right angle and explain what it is? (2D/3D shapes, environment) I have turned my beebot all the way round, it has turned 360 ˚ This angle is smaller than a right angle, it is acute. This rectangle has 4 right angles. The corner of the bookcase is a right angle. Progress Challenges Maths Pathway: Shape - Rotation Can you fully describe the rotation of a shape? Children identify the angle and point of rotation accurately. Can you rotate from any given point on a grid? I rotated the shape about point (8,4) and the other shape about point (7,3) Can you rotate a simple shape or object about its centre or a vertex? I made sure that the shape did not move at the point of rotation and rotated the shape 90° Can you identify congruent shapes? I know these shapes are congruent because… Can you draw common 2D shapes in different orientations on grids? Progress Challenges Maths Pathway: Shape - Reflection Can you reflect shapes on graph paper given the equation of the mirror line? Can you reflect shapes that are not presented on a grid? Can you reflect shapes which cross a mirror line? Can you draw the reflection of a shape in an oblique mirror line when the shape is and is not touching the mirror line? Can you draw the reflection of a shape with a horizontal or vertical line when the shape is and is not touching the mirror line? Children draw the line x+2 and reflect a shape in it. I can measure perpendicular distances to/from the mirror line to reflect shapes not on a grid. Progress Challenges Maths Pathway: Shape - Properties Can you use and describe a wide range of properties of 2D and 3D shapes? Can you use a widening range of mathematical vocabulary when describing shapes and use the properties of 2D and 3D shapes? Can you classify a wide range of 2D and 3D shapes in various ways using mathematical properties? Can you identify, describe and sort common shapes according to their properties? Can you identify, name and describe simple 2D and 3D shapes? Parallel and perpendicular lines and faces, angle sum of a triangle and straight line. Vocab: opposite, adjacent, parallel, perpendicular, equal, complementary, acute, obtuse. Horizontal, vertical, congruent, parallelogram, convex, concave include quadrilaterals and triangles (scalene and isosceles). Oblique lines of symmetry Making 3D mathematical models by linking faces/edges Visualising shapes and recognising them in different orientations Prisms, regular and irregular shapes, right angled and equilateral triangles, lines of symmetry, nets. Faces, edges, corners, sides, identifying lines of symmetry and right angles. 2D: square, triangle, circle, rectangle, pentagon. 3D: sphere, cube, cylinder, pyramid, cuboid Sides, faces, corners. Children can make patterns, pictures and models using shapes. Progress Challenges Maths Pathway: Measures – Scales & Units (L1-3) Can you read scales with increments of 2, 5, 10 and 25 (and their multiples e.g, 20, 40, 60… 2.5, 5, 7.5)? Can you read scales to the nearest division and half division on a labelled scale? Can you read scales to the nearest labelled division? Can you use standard units to estimate measures? Can you compare the length, mass or capacity of two or more objects? 2 cm…m…km l…ml g…kg “The red tower is much taller than the blue tower of cubes.” “I think this basket of shopping is heavier than the pile of books.” Progress Challenges Maths Pathway: Measures – Scales & Units (L3-5) Can you convert metric units into imperial measures? “1km = 0.62 miles so 10km = 6.2miles.” “1kg = 2.2lb” Can you convert units of measures to solve problems? 2.5kg + 50g = 2.5kg + 0.05kg = 2.55kg Do you know and use the relationship between familiar units of length, mass and capacity? “1m = 100cm so ½ m = 50cm” “350ml = 0.35l” “2.05km = 2050m” Can you choose appropriate units and instruments to measure accurately? “I will measure the length of the classroom in metres using a trundle-wheel.” “It would be best to measure the capacity of a can using a measuring cylinder with a smaller and more precise scale.” Can you read scales to the nearest division where scales are partially numbered? Progress Challenges Maths Pathway: Measures – Time (L1-3) Can you read a clock to the nearest minute? “It’s 3 minutes to 12… it’s 17 minutes past 5.” Can you read a clock to the nearest 5 minutes? 5 past… 10 past… to… 5 to… Can you tell the time to o’clock, half past and quarter past and quarter to? The time is 3 o’clock. It is quarter to 4. Lunchtime is at half past 12 Can you use a timeline to order daily events? “Walk to school… playtime… lunchtime… hometime… swimming lesson… teatime… bedtime.” Can you use time related words and start to read o’clock times? Order everyday events… days of the week… phases of the day… ordinal numbers… 1st, 2nd, 3rd 20 Progress Challenges Maths Pathway: Measures – Time (L3-4) Can you use and interpret timetables? Bus timetables… train timetables… “What time would I need to be at the bus stop for if I needed to be in town for 1.30? How long does it take the train to reach London?” Can you read the 24hr clock and convert between 12hr and 24hr clock times? Digital… analogue… 17:00 = 5pm… 01:30 = half past one in the morning Can you find a time interval greater than 1 hour? 1 min = 60 seconds so 2 mins = 120 seconds. 3 hours = 180 minutes. Can you calculate time intervals less than 1 hour? “If I catch a bus at half past 11 and arrive at 5 to 12, how long was my journey?” “A cake needs to go in the oven for 30mins. What time should I take it out if it went in at 20 past 2?” Can you use units of time and know the relationship between them? 1 min = 60 so 2 minutes = 120 seconds 1 hour = 60 mins so 4 hours = 240 minutes Month, year, decade, century Progress Challenges Maths Pathway: Measures - Area and Perimeter Can you find the area of a triangle, trapezium and circle (using π)? Can you find the volume and surface area of a cube and cuboid? Can you find the perimeter and area of a compound shape with missing measurements? Can you find the perimeter and area of a compound shape by splitting into rectangles? Can you use “length x width” to find area of a rectangle? Can you find the perimeter and area of a simple shape by counting squares and part squares? Area of triangle = ½ x b x h Area of circle = πr² Area of a trapezium = ½(a+b) ×h