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Pattern and Sequence for grade 10 mathematics
generates patterns.
Identify sequence from not sequence
Show patience in describing patterns and
recognizing sequences.
LEARNING OBJECTIVES
Pattern and Sequence for grade 10 mathematics
What ’s next?
20
36
-16
-26
PAT TERN
is an arrangement of
things repeated in an
orderly, recognizable
fashion.
SEQUENCE
is a succession of numbers in a specific or
logical order.
Each number in a sequence is called a term.
The first and the last terms of the sequence are
referred to as extremes.
The terms between the first and the last terms
are called means.
FINITE SEQUENCE
it has a last term
{3, 6, 9, 12, 15}
INFINITE SEQUENCE
it has NO last term, the 3 dots (ellipsis)
signifies it will just continue.
{10, 12, 14, 16, ...}
EXAMPLE OF SEQUENCE
2, 11, 20, 29, ... ADD 9
37, 33, 29, 25, ... SUBTRACT 4
6, 30, 150, 750, ... MULTIPLY BY 5
256, 128, 64, ... DIVIDED BY 2
NUMBER OF
SEQUENCE
PATTERN
generates patterns.
illustrates an arithmetic sequence
determines arithmetic means, nth term of
an arithmetic sequence and sum of the
terms of a given arithmetic sequence
LEARNING OBJECTIVES
Look
Number of Sides Name of Polygon
3 Triangle
4 Quadrilateral
5 Pentagon
6 Hexagon
7 Heptagon
8 Octagon
9 Nonagon
10 Decagon
n n-gon
side
vertex
angle
≅
A
B
C
D
E F
G
H
I
J
Side Angle
AB FG
≅
BC GH
≅
CD HI
≅
DE IJ
≅
EA JF
≅
∠A F
≅ ∠
∠B G
≅ ∠
∠C H
≅ ∠
∠D I
≅ ∠
∠E J
≅ ∠
ACTIVITY
Count the number of sides of each polygon and
classify what type ofpolygon is it based on its number
of sides.
1.
Sides: __________
Polygon: ________
2.
Sides: __________
Polygon: ________
3.
Sides: __________
Polygon: ________
4.
Sides: __________
Polygon: ________
ACTIVITY
Count the number of sides of each polygon and
classify what type ofpolygon is it based on its number
of sides.
1.
Sides: __________
Polygon: ________
2.
Sides: __________
Polygon: ________
3.
Sides: __________
Polygon: ________
4.
Sides: __________
Polygon: ________
Pattern and Sequence for grade 10 mathematics

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Pattern and Sequence for grade 10 mathematics

  • 2. generates patterns. Identify sequence from not sequence Show patience in describing patterns and recognizing sequences. LEARNING OBJECTIVES
  • 5. PAT TERN is an arrangement of things repeated in an orderly, recognizable fashion.
  • 6. SEQUENCE is a succession of numbers in a specific or logical order. Each number in a sequence is called a term. The first and the last terms of the sequence are referred to as extremes. The terms between the first and the last terms are called means.
  • 7. FINITE SEQUENCE it has a last term {3, 6, 9, 12, 15}
  • 8. INFINITE SEQUENCE it has NO last term, the 3 dots (ellipsis) signifies it will just continue. {10, 12, 14, 16, ...}
  • 9. EXAMPLE OF SEQUENCE 2, 11, 20, 29, ... ADD 9 37, 33, 29, 25, ... SUBTRACT 4 6, 30, 150, 750, ... MULTIPLY BY 5 256, 128, 64, ... DIVIDED BY 2 NUMBER OF SEQUENCE PATTERN
  • 10. generates patterns. illustrates an arithmetic sequence determines arithmetic means, nth term of an arithmetic sequence and sum of the terms of a given arithmetic sequence LEARNING OBJECTIVES
  • 11. Look Number of Sides Name of Polygon 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon n n-gon
  • 13. ≅ A B C D E F G H I J Side Angle AB FG ≅ BC GH ≅ CD HI ≅ DE IJ ≅ EA JF ≅ ∠A F ≅ ∠ ∠B G ≅ ∠ ∠C H ≅ ∠ ∠D I ≅ ∠ ∠E J ≅ ∠
  • 14. ACTIVITY Count the number of sides of each polygon and classify what type ofpolygon is it based on its number of sides. 1. Sides: __________ Polygon: ________ 2. Sides: __________ Polygon: ________ 3. Sides: __________ Polygon: ________ 4. Sides: __________ Polygon: ________
  • 15. ACTIVITY Count the number of sides of each polygon and classify what type ofpolygon is it based on its number of sides. 1. Sides: __________ Polygon: ________ 2. Sides: __________ Polygon: ________ 3. Sides: __________ Polygon: ________ 4. Sides: __________ Polygon: ________