Lesson 14
Patterns in Sequences
Heuristics: Look for Patterns
Name: _______________________ Teacher: ____________
Date: __________ Day: ___________ Time: ___________
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Activity 1: Story Time – Pattern Fish by Trudy Harris
Yellow Black.
Yellow Black.
A fish swims in the ocean.
It has stripes upon its back.
Yellow Black, Yellow Black, Yellow, Black
.
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Stripe Dot Dot.
Stripe Dot Dot.
From a dark and rocky nook.
An eel slips out to take a look.
Stripe Dot Dot, Stripe Dot Dot, Stripe Dot
Dot
.
Chomp Chomp Munch Munch.
Chomp Chomp Munch Munch.
A seahorse, underneath the sea.
Eats seaweed for its lunch.
Chomp Chomp Munch Munch,
Chomp Chomp Munch Munch,
Chomp Chomp Munch Munch
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.
Bubble Bubble Pop.
Bubble Bubble Pop.
A puffer fish blows bubbles.
They go floating to the top.
Bubble Bubble Pop, Bubble Bubble Pop
Bubble Bubble Pop
.
Stretch Spurt Glide.
Stretch Spurt Glide.
On an underwater ride.
An octopus is slowly going
Stretch Spurt Glide, Stretch Spurt Glide,
Stretch Spurt Glide
.
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Wiggle Jiggle Jiggle Float,
Wiggle Jiggle Jiggle Float,
Wiggly
Jiggly
Jellyfish
Wiggle Jiggle Jiggle Float,
Wiggle Jiggle Jiggle Float
.
Splash Turn Swish Dive,
Splash Turn Swish Dive.
In the dark.
A great giant shark.
Moves in murky water with a
Splash Turn Swish Dive,
Splash Turn Swish Dive …
“Hey, where did everybody go?”
“Oh Well.”
Splash Turn Swish
Dive
.
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Activity 2: Fill in the missing numbers in the patterns below.
1.
3
7
9
13
2.
13
19
11
3.
6
1 5
22
17
23
8
10
6 2
26
3 7
4.
5
18
15
2
20
4
17
3
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5.
3
4
6.
12
4
5
5
5
6
5
18
8
Colour the 4th shape to continue the pattern.
1st
2nd
3rd
7.
Draw the shape that comes next.
8.
Colour the missing pattern.
4th
?
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This is
Higher Order Thinking
pattern(s)
9.
+
−
Then
10.
=9
=1
=
Study the pattern below carefully. What comes next?
?
________
Circle the correct pattern.
11.
Circle the mistake in the pattern below.
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12.
Study the two sets below.
Set B
Set A
Two of the following sentences are true.
Put a tick ( √ ) in the boxes provided if the sentence is
true.
(a)
The pieces above are grouped by size.
(b)
The pieces above are grouped by shape.
(c)
The pieces above are grouped by colour.
(d)
The pieces above are grouped by number of
sides.
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13.
Look at the pattern below
?
Circle the correct answer to complete the pattern shown.
14. Susan used 5 toothpicks to make a triangle. How many
toothpicks she used to make 5 triangles?
1 triangle
2 triangles
3 triangles
toothpicks
15. John collected some game cards.
On the 1st day, he collected 3 game cards.
On the 2nd day, he collected 5 game cards.
On the 3rd day, he collected 7 game cards and so on.
At this rate, how many game cards did he collect on the 7th day?
Day
1st 2nd 3rd 4th 5th 6th 7th
Number of Game Cards
3
5
7
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Problem Sums - Guided Examples
Who has more marbles?
1. Ben has 5 marbles.
Sam has 3 more marbles than Ben.
__________
Who read fewer marbles?
___________
Concept: Comparison
Lrg Qty – Diff = Sml Qty
Keyword: More Than
Model
a) How many marbles does Sam have?
Equation
Word Sentence
Sam has _______ marbles.
b) How many marbles do they have altogether?
Equation
Word Sentence
They have _______ marbles altogether.
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2. Lisa baked 8 pies.
Jane baked 3 more pies than Lisa.
Who baked more pies?
__________
Who baked fewer pies?
___________
Model
a) How many pies did Jane bake?
Equation
Word Sentence
Jane baked _______ pies.
b) How many pies did they bake in all?
Equation
Word Sentence
They baked _______ pies in all.
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3. Jake has 9 balloons.
Tim has 5 fewer balloons than Jake.
Concept: Comparison
Lrg Qty – Diff = Sml Qty
Keyword: Fewer Than
Who has more balloons?
__________
Who has fewer balloons?
___________
Model
a) How many balloons does Tim have?
Equation
Word Sentence
Tim has _______ balloons.
b) How many balloons do they have altogether?
Equation
Word Sentence
They have _______ balloons altogether.
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4. Jill has 14 pencils.
Amy has 9 fewer pencils than Jill.
Who has more pencils?
__________
Who has fewer pencils?
___________
Model
a) How many pencils does Amy have?
Equation
Word Sentence
Amy has _______ pencils.
b) How many pencils do they have in all?
Equation
Word Sentence
They have _______ pencils in all.
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On Your Own (Homework)
Fill in the missing numbers in the patterns below.
1.
12
7
5
6
2.
3
2
2
10
8
3.
3
3
4
7
1
8
2
1
5
Study the number bonds.
2
4
8
8
stands for the number ___________.
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* 5. Study the figure below.
Look for pattern(s)Look for
??
Circle the missing pattern.
* 6. Look at the objects in Set A and Set B
Look for pattern(s)
How are the objects grouped?
Tick (✓) the correct answer.
☐ colour
☐ shape
☐ size
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Problem Sums – On Your Own
1.
Who has more stickers?
Belle has 8 stickers.
Mary has 4 more stickers than Belle.
__________
Who has fewer stickers?
Concept: Comparison
Lrg Qty – Diff = Sml Qty
Keyword: More Than
___________
Model
a) How many stickers does Mary have?
Equation
Word Sentence
Mary has _______ stickers.
b) How many stickers do they have altogether?
Equation
Word Sentence
They have _______ stickers altogether.
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2. Larry caught 7 bugs.
Tom caught 5 more bugs than Larry.
Who caught more bugs?
__________
Who caught fewer bugs?
___________
Model
a) How many bugs did Tom catch?
Equation
Word Sentence
Tom caught _______ bugs.
b) How many bugs did they catch in all?
Equation
Word Sentence
They caught _______ bugs in all.
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3. Alice read 12 books.
Jon read 9 fewer books than Alice.
Concept: Comparison
Lrg Qty – Diff = Sml Qty
Keyword: Fewer Than
Who read more books?
__________
Who read fewer books?
___________
Model
a) How many books did Jon read?
Equation
Word Sentence
Jon read _______ books.
b) How many books did they read altogether?
Equation
Word Sentence
They read _______ books altogether.
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4. Jim has 11 sweets.
Ryan has 5 fewer sweets than Jim.
Who has more sweets?
__________
Who has fewer sweets?
___________
Model
a) How many sweets does Ryan have?
Equation
Word Sentence
Ryan has _______ sweets.
b) How many sweets do they have in all?
Equation
Word Sentence
They have _______ sweets in all.
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Heuristic: Look for Patterns
Complete the number pattern below.
1
1
1
1
1
1
3
4
2
1
3
1
4
1
1
1
The number pattern above is known as the Pascal's Triangle,
named after Blaise Pascal, a famous French Mathematician and
Philosopher.
Color the Odd and Even numbers. (Use one colour for odd and
another colour for even). You will get an interesting pattern known
as Sierpinski Triangle.
Reminder: NEXT lesson onwards
Bring Model Ruler
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Note to Parents:
About Patterns:
A pattern is something that repeats again and again. An AB pattern has only two
different things that repeat over and over.
This is an AAB pattern.
This is an ABC pattern.
Although patterns are not explicitly taught in schools, this topic is
commonly tested in school examinations and the PSLE.
Patterns and Giftedness
According to Professor Howard Gardner, there are at least seven categories in
which a child may be gifted. One of these areas is Logical-mathematical. This
area involves the ability to see patterns and relationships.
This type of intelligence is said to have the highest correlation with the
general intelligence factor. This is primarily because pattern recognition is the
ability to see order in a chaotic environment. Patterns can be found in ideas,
words, symbols and images and pattern recognition is a key ally of your potential
in logical, verbal, numerical and spatial abilities.
Problem Sums
This lesson, we revisit the concept of comparison without the help of concrete
materials (snap-cubes).
Model:
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