Dimension: Space Length of Unit: 5 Lessons Space2.5 2.75 UNIT PLANNER - ALTONA PRIMARY SCHOOL LEVEL 3 Focus: Angles Representation of angles formed dynamically; for example, between the hands of a clock or between their own limbs, and explanations of these angles in terms of simple fractions of a complete revolution Construction of a model for an angle using rotation of lines 3.0 … Students recognise angles are the result of rotation of lines with a common end-point. Standard 3.25 Recognition of angles between lines, particularly when lines are parallel or perpendicular 3.5 Classification and sorting of two-dimensional shapes using the properties of lines (curvature, orientation and length) and angles (less than, equal to, or greater than 90°) 3.75 Construction of a copy of a shape, given details about side lengths and angles Knowledge that the sum of angles at a point on a straight line is 180° 4.0 … Students classify and sort shapes and solids (for example, prisms, pyramids, cylinders and cones) using the Standard properties of lines (orientation and size), angles (less than, equal to, or greater than 90°), and surfaces Vocabulary Development: Revolution, half turn, quarter turn, acute, right angle, obtuse angle, acute angle, reflex angle, straight angle, turn, degrees Common Assessment Tasks Assessment FOR Learning Assessment OF Learning Use student work samples throughout the Nelson Maths – Student Book 5, page 21 – unit and observe reflection tasks. Focus can name lines and angles Other Resources: Mathletics Nelson Maths Rainforest Maths http://www.bbc.co.uk/keyskills/flash/kfa/kfa.shtml - Working out the degrees of an angle Assessment AS Learning Teaching and Learning Sequence Focus What do I want my students to Sequen know by Warm up Student Learning Activity (including introduction) ce the end of the lesson? LEARNING INTENTIONS 1 Good Mastermind – use Mathemati decimals We measure things or we refer to measurement all cians the time: our height, the height of a mountain, our understan weight, the weight of potatoes, our temperature, d quarter the air temperature, the speed of our car, the and half speed of an aeroplane. But there are some things turns and we don’t often think about measuring – turn, for to begin to example. How do you measure turn and what units see that do you measure it with? ‘angle’ is Well, of course, turning is all about angling. And the something amount that we turn through is just the size of the involving angle of the turn and we measure that in degrees. ‘an Play Simon Says, using fractions of turn. Instructions amount of might be: (Simon says) quarter turn (clockwise or turn’. anti-clockwise), half turn (clockwise or anticlockwise), and when they are able, smaller fractions, such as one-eighth. This can be done with one arm held straight out in front, so that they can ‘see’ the angle as a dynamic turning. 1. Draw a rectangle in the playground (or use a small rectangle in class). Have four students stand on the corners of the rectangle (or put four toys on the small rectangle). Share / Reflection / Assessment “3 2 1 (i)” 3 recalls (facts you remember as being significant from the lesson); 2 ideas or notions (you gained from the lesson), 1 question (you still have from the lesson). 2. Have Mike look at Nell. What turn would Mike need to make in order to be looking at Jorge? Have Jorge look at Karen. What turn would Jorge need to make in order to be looking at Mike? Have Karen look at Jorge. What turn would Karen need to make in order to be looking at Jorge? 3. Point out that we can think of the corners of a rectangle as being made up of quarter turns. What other shapes can you think of that have corners that are quarter turns? 1. It’s not just people that we can turn in clockwise or anticlockwise directions. Look at the long thin rectangle in the diagram. 2. Get the students to close their eyes. Then ask a series of questions like the ones below. After each question let them open their eyes and tell you what they think will happen. What happens to the rectangle if we turn it through a clockwise quarter turn about A? What happens to the rectangle if we turn it through 2 Lines makes angles List everything you know about a square. a clockwise half turn about A? What happens to the rectangle if we turn it through an anticlockwise quarter turn about B? What happens to the rectangle if we turn the rectangle through an anticlockwise half turn about C? Establish that the group has an understanding of right angles and that right angles can be found where horizontal and vertical lines meet. Ask, ‘Do all lines meet at a right angle?’ Brainstorm answers where lines don’t make right angles. Discuss the concept of angles being just a rotation of lines. OET A lot of things in our room have angles that are the same as a quarter turn. What things in our room are the same as a quarter turn (right angle), greater than a quarter turn (obtuse angle) and less than a quarter turn (acute angle). 3 Being able to recognise and name angles Greedy Pig WCF – Discuss parts of an angle - including the arms and vertex. Secrets of your Success. Having noted those children who worked effectively or grasped the concept being introduced well or played the game with great use of strategies/tactics or applied learned skills well – ask 3 or 4 of them to come out to the front (after giving them some advance notice that you will be asking them to do this) front of the class and pass on the “secrets to their success”. Rocket Writing Create flashcards and play something similar to stepback but with naming the angle correctly. High – Maths Plus 5 – page 8 Medium - Set tasks from Mathletics – Comparing angles, what type of angle am I? 4 Reinforcin Game of Choice g understan ding of an Low – Maths Plus 4 – page 12 OET – I was watching television and I noticed the hands of the clock made an acute angle. What program might I have been watching? Windscreen check Children describe how their windscreen (understanding) was during the session. Children reflect acute angle and its size 5 Is able to create shapes based on understan ding angles and their size. on whether it was clear (well understood), fogged up (used a demister approach to clear up the understanding), muddy (still not understood and hard to see). These checks can be asked during the session to various students – even whilst working with another student to check progress and understanding. Angle Flash Cards OET – Draw as many shpes as you can, but each shape must have 2 acute, 2 right and 2 obtuse angles. Complete check and self assessment – Nelson Maths Student Book 5 – page 21 Maths Recall Students share all the mathematics that was used during the activity – teacher scribes on an anchor sheet