Position and Direction Lesson 1 LO to describe
Position and Direction Lesson 1 LO. to describe positions on a grid as coordinates
L. O. to describe positions on a grid as coordinates Label the x and y axis Can you think of a way to remember which is which? x comes before y in the alphabet. Along the corridor, up the stairs. y-axis x is along the bottom (horizontal), you go along the bottom first before going up (vertical). When describing or plotting coordinates you ALWAYS start with the x-axis first followed by the y-axis. Along the corridor, up the stairs.
L. O. to describe positions on a grid as coordinates Describing positions on a grid as coordinates you ALWAYS describe the x coordinate first followed by the y coordinate. Why do you think this is so important? Look at the below question.
L. O. to describe positions on a grid as coordinates Coordinates-Alien-Attack Have a go at this interactive game to describe positions (click on title). How many points can you get stopping the alien attack? Challenge - try all 4 quadrants (working in negative numbers!) https: //mathsframe. co. uk/en/resources/resource/469/Coordinates-Alien-Attack
L. O. to describe positions on a grid as coordinates Who is correct? Teddy is correct. What mistake has one of the children made? Rosie has read the y-axis before the x-axis.
L. O. to describe positions on a grid as coordinates Are the coordinates of each point correct? Make any corrections.
L. O. to describe positions on a grid as coordinates Fun Task For example – Mrs Grima (1, 4), (9, 8), (5, 5) (4, 4), (9, 8), (2, 8), (1, 4), (1, 1)
L. O. to describe positions on a grid as coordinates Which clue matches which coordinate? Clue 1 - My x coordinate is half my y coordinate. B Clue 2 - My y coordinate is less than my x coordinate. A Clue 3 - Both my coordinates are prime numbers. C
L. O. to describe positions on a grid as coordinates Independent task - start with completing the below pirate map task and then pick 1 of the following 3 tasks on the next 3 pages - mild, hot, spicy (answers at beginning of lesson 2)
L. O. to describe positions on a grid as coordinates Mild
L. O. to describe positions on a grid as coordinates Hot
L. O. to describe positions on a grid as coordinates Spicy
Position and Direction Lesson 2 L. O. to plot coordinates and draw on a grid
ANSWERS from lesson 1 - Pirate map
ANSWERS from lesson 1 Mild Hot Spicy
L. O. to plot coordinates and draw on a grid Which colour dot has been plotted accurately? The red dot. Where do you need to mark the numbers on the x and y axis? On the lines. Why is it important to be accurate when plotting on a grid? - Discuss with your helper
L. O. to plot coordinates and draw on a grid Plot the points for the coordinates on the grid (2, 1), (7, 5), (2, 8)
L. O. to plot coordinates and draw on a grid Do you agree with Amir? Explain your answer. Amir is incorrect, the x-axis must be plotted before the yaxis Proof - If you are getting the coordinates to the treasure of (10, 7) and plotted the y-axis first you would end up in the ocean!
L. O. to plot coordinates and draw on a grid If you draw a right-angled triangle on the grid what could the other 2 coordinates be? (1, 1), (6, 1), (1, 8) – as one example
L. O. to plot coordinates and draw on a grid True or False - these are vertices of a square? (2, 1), (7, 1), (2, 6), (7, 7) False
L. O. to plot coordinates and draw on a grid When plotted which coordinates make a parallelogram? (3, 4), (7, 4), (6, 2), (2, 2)
L. O. to plot coordinates and draw on a grid Identify and plot 6 pairs of coordinates, each with a total of less than 12. For example: (5, 6), (1, 8), (3, 4), (6, 3), (4, 4), (2, 7)
L. O. to plot coordinates and draw on a grid
L. O. to plot coordinates and draw on a grid Independent task - pick 1 of the following tasks either below or on the next 2 pages- mild, hot, spicy (answers at beginning of lesson 3) Mild
L. O. to plot coordinates and draw on a grid Hot
L. O. to plot coordinates and draw on a grid Spicy
Position and Direction Lesson 3 L. O. to move on a grid
ANSWERS from lesson 2 Mild Hot Spicy
L. O. to move on a grid Let's recap our coordinates knowledge with a game! (Click on the link) Coordinates reasoning There are 4 levels, we have been working in the first quadrant only so stick with level 1 or 2. How do we remember which coordinate to read or write first? Along the corridor (x-axis), up the stairs (y-axis). https: //mathsframe. co. uk/en/resources/resource/153/Coordinates%20%20 reasoning%20 about%20 position%20 and%20 shapes%20 -%20 KS 2%20 maths%20 game
L. O. to move on a grid In maths terms what does the word 'translation' mean? To move an object or shape on a grid left or right, up or down without changing the size or turning it.
L. O. to move on a grid Translate the point 4 left and 3 up. Record the new coordinates. (0, 6)
L. O. to move on a grid Which mini-beast would have to move 1 left and 1 up to land on the caterpillar? Grasshopper Which mini-beast would have to move 3 right and 1 down to land on the bee? Woodlouse
L. O. to move on a grid Translate A 6 right and 3 down. Record the coordinates before and after. A before (2, 3), after (8, 0). Translate B 5 left and 3 up. Record the coordinates before and after. B before (5, 6), after (0, 9).
L. O. to move on a grid Points are placed on the following coordinates: (7, 5) (4, 7) (5, 4) Each of the points have been moved 2 squares in one direction and 2 squares in another. What could the new coordinates be? Find 2 possibilities. (9, 8), (6, 10), (7, 7) or What do you notice? (5, 2), (2, 4), (3, 1)
L. O. to move on a grid Translate the rectangle 2 left and 3 up. Record the coordinates of each vertex of the rectangle before and after the translation. Before (2, 5), (6, 7), (2, 7) After (0, 8), (4, 10), (0, 10)
L. O. to move on a grid Independent task - pick 1 of the following tasks either below or on the next 2 pages - mild, hot, spicy (answers at beginning of lesson 4) Mild
L. O. to move on a grid Hot
L. O. to move on a grid Spicy
Position and Direction Lesson 4 L. O. to describe movements between positions as translations on a grid
ANSWERS from lesson 3 Mild Hot Spicy
L. O. to describe movements between positions as translations How many guesses will it take you to find the treasure? (Click on the link) Hunt the treasure https: //nrich. maths. org/6288
L. O. to describe movements between positions as translations
L. O. to describe movements between positions as translations Describe the translations from: 2 right, 1 down 2 down 1 left, 1 down 3 right, 2 up
L. O. to describe movements between positions as translations Describe how each of the orange points must move to get to the green point. A: 3 right and 3 down B: 3 left and 1 down C: 5 left and 1 up D: 4 right and 2 up E: 3 up F: 2 left and 5 up
L. O. to describe movements between positions as translations Star A has been translated three times. Match each numbered point to the correct translation statement. 2 left, 6 up - star 2 4 right, 1 up - star 3 5 right, 7 up - star 1
L. O. to describe movements between positions as translations Describe the translation of shape A to shape B 5 left, 2 up Describe the translation of shape B to shape A 5 right, 2 down What do you notice?
L. O. to describe movements between positions as translations Points A and B make exactly the same translations to points C and D. Write the translations made and the coordinates of the start and finish positions of each point. They have both moved 3 squares right and 2 squares down. A (3, 8) has moved to C (6, 6). B (2, 6) has moved to D (5, 4).
L. O. to describe movements between positions as translations Independent task - try the below questions AND then choose from challenge 1 on the next page or challenge 2 on the page after (answers at beginning of lesson 5)
L. O. to describe movements between positions as translations Challenge 1
L. O. to describe movements between positions as translations Challenge 2
Position and Direction Lesson 5 Investigations
ANSWERS from lesson 4 Challenge 1 Challenge 2
Position and Direction – Investigations On the next slides there are 6 different investigations, pick 1 or 2 to try (the answers will follow)
Position and Direction - Investigation 1
Position and Direction - Investigation 2 Emoji Coordinates
Position and Direction - Investigation 3
Position and Direction - Investigation 4 On the graph below there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Each of the 4 red points is a vertex shared by two squares. The other 24 points are each a vertex of just one square. All of the squares share just one vertex with another square. All the squares are different sizes. There are no marked points on the sides of any square, only at the vertices. Can you find the eight hidden squares? Extension - record the coordinates for each square!
Position and Direction - Investigation 5
Position and Direction - Investigation 6 Can you position the ten letters below in their correct places according to the eight clues below? Clues: The letters at (1, 1), (1, 2) and (1, 3) all have a vertical line of symmetry. The letter at (4, 2) is not symmetrical in any way. The letters at (1, 1), (2, 1) and (3, 1) all have a horizontal line of symmetry. The letters at (0, 2), (2, 0) have rotational symmetry (if turned upside down look the same). The letter at (3, 1) consists of just straight lines. The letters at (3, 3) and (2, 0) consist of just curved lines. The letters at (3, 3), (3, 2) and (3, 1) are consecutive in the alphabet. The letters at (0, 2) and (1, 2) are at the two ends of the alphabet. Here is a grid:
Position and Direction - Investigation 1 - Answers
Position and Direction - Investigation 2 - Answer
Position and Direction - Investigation 3 - Answers
Position and Direction - Investigation 4 - Answers
Position and Direction - Investigation 5 - Answers
Position and Direction - Investigation 6 - Answers
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