Download - Multiply using the grid method. OMA. Learning Objective Read and plot coordinates in all quadrants
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Multiply using the grid method.
OMAOMA
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Learning Objective
Read and plot coordinates in all quadrants
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DEFINITION
Grid – A pattern of horizontal and vertical lines, usually forming squares.
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DEFINITION Coordinate grid – a grid used to locate a point by its distances from 2 intersecting straight lines.
1
32
45
0
6
1 2 3 4 50 6
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DEFINITION
x axis – a horizontal number line on a coordinate grid.
1 2 3 4 50 6 x
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HINT
x ‘is a cross’ (across )
1 2 3 4 50 6 x
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DEFINITION
y axis – a vertical number line on a coordinate grid.
12345
0
6
y
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DEFINITION
Coordinates – an ordered pair of numbers that give the location of a point on a grid. (3, 4)
12345
0
6
1 2 3 4 50 6
(3,4)
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HINT
The first number is always the x or first letter in the alphabet. The second number is always the y the second letter in the alphabet.
1
32
45
0
6
1 2 3 4 50 6
(3,4)
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HOW TO PLOT ORDERED PAIRS
Step 1 – Always find the x value first, moving horizontally
1
32
45
0
6
1 2 3 4 50 6
(2, 3)
y
x
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HOW TO PLOT ORDERED PAIRS
Step 2 – Starting from your new position find the y value by moving vertically
1
32
45
0
6
1 2 3 4 50 6
(2, 3)(2,3)y
x
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HOW TO FIND ORDERED PAIRS
Step 1 – Find how far over horizontally the point is by counting to the right
1
32
45
0
6
1 2 3 4 50 6
(5, 4)
y
x
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HOW TO FIND ORDERED PAIRS
Step 2 – Now count how far vertically the point is by counting up
1
32
45
0
6
1 2 3 4 50 6
(5,4)
y
x
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WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(3,5)
y
x
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WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(2,6)
y
x
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WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(4,0)
y
x
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WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(0,5)
y
x
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WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(1,1)
y
x
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Abacus 2 Page 27Abacus 2 Page 28
YOUR TASK!
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Find a Percentage of a
number
OMAOMA
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Learning Objective
Read and plot coordinates in all quadrants
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*When the number lines are extended into the negative number lines you add 3 more quadrants to the coordinate grid.
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
y
x
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* If the x is negative you move to the left of the 0.
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
x = -2y
x
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* If the y is negative you move down below the zero.
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
y = -3y
x
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* Step 1 - Plot the x number first moving to the left when the number is negative.
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-3, -2)(-3, -2)y
x
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* Step 2 - Plot the y number moving from your new position down 2 when the number is negative.
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-3, -2)(-3, -2)
y
x
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* When x is positive and y is negative, plot the ordered pair in this manner.
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(2, -2)(2, -2)
y
x
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* When x is negative and y is positive, plot the ordered pair in this manner.
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-2, 2)(-2, 2)
y
x
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-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-3, -3)(-3, -3)
y
x
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-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-1, 2)(-1, 2)
y
x
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-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(1, -1)(1, -1)
y
x
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-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(2, -2)(2, -2)
y
x
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-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-3, -2)(-3, -2)
y
x
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Mr D. Pay34
0 1 2 3 4 5 6 7 8 9 10-9 -8 -7 -6 -5 -4 -3 -2 -1-10 x
y
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Coordinates Keywords & Rules
FIRST QUADRANT
Y Axis and positioning vertical
Use brackets (?,?) and remember X firstY next
ORIGIN
(4,8)
SECOND QUADRANT
THIRD QUADRANT
FOURTH QUADRANT
X Axis and positioning horizontal
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YOUR TASK! NHM Page 106
Whole class investigation: Pairs plot the following coordinates on grids:( -3, -7), (3,5), (0, -1), (1, 1), (-2, -5), (5,9), (-1, -3), (2,3). Join al l the points, what do you notice? Choose three of the points and add 3 to each of the x coordinates. Chose these three new points to each other using a different coloured pencil. Try subtracting three and drawing the new points from x coordinates. What happens if you subtract three from the y and x coordinates?
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Mr D. Pay
37
0 1 2 3 4 5 6 7 8 9 10-9 -8 -7 -6 -5 -4 -3 -2 -1-10
x
y
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Coordinates in 4 Quadrants.
a
b
c
d
a b
c
a b
cd
a
bc
d
a b
cd
a
bc
ab
cd
e
a b
c
d
1
2
3
4
5
6
8
What are the vertex coordinates of each shape?
d
7
8,10
10,7
8,4
2,7
1,4
6,4
1,07,-1
10,-1
10,-6
7,-6
4,-3
6,-92,-9
-2,6
-1,2-6,2
-5,6
-8,9-5,9
-7,4
-10,4
-10,-1
-6,-1
-6,-5
-10,-5
-3,-5
0,-6
-1,-10-4,-10
-6,-8
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OMA
Find fractions of numbers
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Learning Objective
Recognise parallel and perpendicular faces and edges on 3.D shapesRehearse the terms polyhedron, tetrahedron and begin to use
dodecahedron.
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What is the difference between a 2D shape and 3D shape?
Which 3D shapes can you name?
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CUBE
Can you think of any objects which are the shape of a cube?
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CUBOID
Can you think of any objects which are the shape of a cuboid?
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SPHERE
Can you think of any objects which are shape of a sphere?
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CONE
Can you think of any objects which are the shape of a cone?
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CYLINDER
Can you think of any objects which are the shape of a cylinder?
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SQUARE BASED PYRAMID
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TRIANGULAR PRISM
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What is a Polyhedron?
Polyhedrons Non-Polyhedrons
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Do you notice a difference?
Polyhedrons Non-Polyhedrons
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PolyhedronsA solid that is bounded by polygons with
straight meeting faces. There are two main types of solids:
Prisms and Pyramids
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FaceThe polygons that make up the sides of a
polyhedron
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EdgeA line segment formed by the intersection of
2 faces
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VertexA point where 3 or more edges meet
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Name the Polyhedron and find the number of Faces, Vertices, and Edgesa. b. c.
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a. b. c.
F = 5V = 5E = 8
F = 5V = 6E = 9
F = 8V = 12E = 18
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a. b. c.
F = 5V = 5E = 8
F = 5V = 6E = 9
F = 8V = 12E = 18
Does anybody see a pattern?
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Euler’s Theorem
F + V = E + 2
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Euler’s Theorem
F + V = E + 2Example:
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Euler’s Theorem
F + V = E + 2Example:
F = 6, V = 8, E = 12
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Euler’s Theorem
F + V = E + 2Example:
F = 6, V = 8, E = 12
6 + 8 = 12 +2
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Euler’s Theorem
F + V = E + 2Example:
F = 6, V = 8, E = 12
6 + 8 = 12 +2
14 = 14
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Example: Use Euler’s Theorem to find the value of n
Faces: 5Vertices: nEdges: 8
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Example: Use Euler’s Theorem to find the value of n
Faces: 5Vertices: nEdges: 8
F + V = E + 25 + n = 8 + 25 + n = 10 n = 5
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Abacus Page 30.
YOUR TASK!
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OMA
Divide using Chunking.
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Visualise 3.D shapes from 2.D drawings
and identify different nets for a closed
cube.
Visualise 3.D shapes from 2.D drawings
and identify different nets for a closed
cube.
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NET 1
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NET 2
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NET 3
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NET 4
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NET 5
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NET 6
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NET 7
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NET 8
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Draw the net of an open cube using five squares.
What other arrangements of five squares will also make a net which we can fold to
make an open cube? Explore different arrangements.
Cut them out to check they do indeed fold to create an open cube.
YOUR TASK!
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Nets of cubesNets of cubes Solutions – There are 11 in total
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Mental MathsOld SATS Questions
Mental MathsOld SATS Questions