multiply using the grid method. oma. learning objective read and plot coordinates in all quadrants
TRANSCRIPT
Multiply using the grid method.
OMAOMA
Learning Objective
Read and plot coordinates in all quadrants
DEFINITION
Grid – A pattern of horizontal and vertical lines, usually forming squares.
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
DEFINITION
x axis – a horizontal number line on a coordinate grid.
1 2 3 4 50 6 x
HINT
x ‘is a cross’ (across )
1 2 3 4 50 6 x
DEFINITION
y axis – a vertical number line on a coordinate grid.
12345
0
6
y
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)
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)
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
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
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
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
WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(3,5)
y
x
WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(2,6)
y
x
WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(4,0)
y
x
WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(0,5)
y
x
WHAT IS THE ORDERED PAIR?
1
32
45
0
6
1 2 3 4 50 6
(1,1)
y
x
Abacus 2 Page 27Abacus 2 Page 28
YOUR TASK!
Find a Percentage of a
number
OMAOMA
Learning Objective
Read and plot coordinates in all quadrants
*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
* 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
* 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
* 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
* 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
* 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
* 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
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-3, -3)(-3, -3)
y
x
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-1, 2)(-1, 2)
y
x
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(1, -1)(1, -1)
y
x
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(2, -2)(2, -2)
y
x
-2
0-1
12
-3
3
-2 -1 0 1 2-3 3
(-3, -2)(-3, -2)
y
x
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
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?
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
OMA
Find fractions of numbers
Learning Objective
Recognise parallel and perpendicular faces and edges on 3.D shapesRehearse the terms polyhedron, tetrahedron and begin to use
dodecahedron.
What is the difference between a 2D shape and 3D shape?
Which 3D shapes can you name?
CUBE
Can you think of any objects which are the shape of a cube?
CUBOID
Can you think of any objects which are the shape of a cuboid?
SPHERE
Can you think of any objects which are shape of a sphere?
CONE
Can you think of any objects which are the shape of a cone?
CYLINDER
Can you think of any objects which are the shape of a cylinder?
SQUARE BASED PYRAMID
TRIANGULAR PRISM
What is a Polyhedron?
Polyhedrons Non-Polyhedrons
Do you notice a difference?
Polyhedrons Non-Polyhedrons
PolyhedronsA solid that is bounded by polygons with
straight meeting faces. There are two main types of solids:
Prisms and Pyramids
FaceThe polygons that make up the sides of a
polyhedron
EdgeA line segment formed by the intersection of
2 faces
VertexA point where 3 or more edges meet
Name the Polyhedron and find the number of Faces, Vertices, and Edgesa. b. c.
a. b. c.
F = 5V = 5E = 8
F = 5V = 6E = 9
F = 8V = 12E = 18
a. b. c.
F = 5V = 5E = 8
F = 5V = 6E = 9
F = 8V = 12E = 18
Does anybody see a pattern?
Euler’s Theorem
F + V = E + 2
Euler’s Theorem
F + V = E + 2Example:
Euler’s Theorem
F + V = E + 2Example:
F = 6, V = 8, E = 12
Euler’s Theorem
F + V = E + 2Example:
F = 6, V = 8, E = 12
6 + 8 = 12 +2
Euler’s Theorem
F + V = E + 2Example:
F = 6, V = 8, E = 12
6 + 8 = 12 +2
14 = 14
Example: Use Euler’s Theorem to find the value of n
Faces: 5Vertices: nEdges: 8
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
Abacus Page 30.
YOUR TASK!
OMA
Divide using Chunking.
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.
NET 1
NET 2
NET 3
NET 4
NET 5
NET 6
NET 7
NET 8
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!
Nets of cubesNets of cubes Solutions – There are 11 in total
Mental MathsOld SATS Questions
Mental MathsOld SATS Questions