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Position, directions & patterns

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visibility 9update 9 hours agobookmarkshare

🎯 In this topic you will

  • Recognise and use ordinal numbers.
  • Use vocabulary to describe position.
  • Order ordinal numbers correctly.
  • Use words to describe and continue patterns.
  • Use words and actions to describe direction.
 

🧠 Key Words

  • above
  • behind
  • below
  • beside
  • between
  • in front of
  • next to
  • on
  • ordinal
  • position
  • under
  • left
  • pattern
  • right
  • sequence
Show Definitions
  • above: Positioned at a higher level than something else.
  • behind: Located at the back of something or someone.
  • below: Situated at a lower level than something else.
  • beside: Placed next to or at the side of something.
  • between: In the space separating two objects or points.
  • in front of: Positioned ahead of something when facing it.
  • next to: Very close to something, usually touching or beside it.
  • on: Resting on the surface of something.
  • ordinal: A number that shows position in an ordered list, such as first or second.
  • position: The place where something or someone is located.
  • under: Directly below something else.
  • left: The direction on the side of the body where the left hand is when facing forward.
  • pattern: A repeated or predictable arrangement of shapes, numbers, or objects.
  • right: The direction on the side of the body where the right hand is when facing forward.
  • sequence: A set of items arranged in a specific order.
 

📍 Why Position Matters

We need to know about position so that we can understand instructions.

 

🗣️ Describing Where Things Are

We need to tell other people where we have put objects.

 

🔢 What Ordinal Numbers Tell Us

Ordinal numbers tell us the position of numbers or objects.

 

🚫 What They Do NOT Tell Us

They do not tell us how much there is or how many things there are.

 
📘 Worked example

There is a hot air balloon competition.

The balloon that flies the highest gets first prize.

Which balloon was 1st?

Which balloon was 7th?

Answer:

1st: The green balloon.

7th: The yellow balloon.

How we know:

The balloon that is highest is in 1st place.

The balloon that is lowest is in 7th place (because there are 7 balloons).

Example sentence: “The green balloon flew the highest. It’s above the others.”

Example sentence: “The yellow balloon was 7th. It was lower than all the others.”

 

EXERCISES

1. Look at the cars. For each question, write the position as a number and a word.

 

a. What colour is the car in front of the $5$th car?

b. What position is the orange car?

c. What position is the white car?

d. What position is the pink car?

e. What colour and position is the car behind the blue car?

f. Which cars are beside the $3$rd car?

👀 Show answer
a. The yellow car.
b. $6$th (sixth).
c. $8$th (eighth).
d. $1$st (first).
e. Purple, $7$th (seventh).
f. The red and yellow cars.

2. These colours have been lined up.

 

a. Which colour is $4$th?

b. Which colour is after the $5$th colour?

c. Which colour is before the $3$rd colour?

d. Which colour is beside the $1$st colour?

👀 Show answer
a. Red.
b. Purple.
c. Yellow.
d. Orange.

3. Put a ring around the child who came $1$st in the race. Colour the child who was $5$th.

 
👀 Show answer
Ring the child at the front for $1$st. Colour the fifth child in the line.

4. Join the words to match the position of the fox.

 
👀 Show answer
From left to right: on, next to, in, behind, in front of.

5. Join the words to match the position of the ball.

 
👀 Show answer
From left to right: above, below, between.

6. Write the ordinal number of the coloured cake in each row of cakes. The first one is done for you.

 
👀 Show answer
Row answers (top to bottom): $3$rd, $1$st, $4$th, $2$nd, $5$th.

7. Draw a line from the word to the object. Fill in the missing words.

 

a. The cat is ______ the chair.

b. The chair is ______ the table.

c. The ball is ______ the table.

d. The flowers are ______ the vase.

👀 Show answer
a. next to
b. under
c. under
d. in

8.

How many apples are there before the $3$rd apple? How many apples are there after the $7$th apple? How many apples are there after the $5$th apple? How many apples are there after the $8$th apple?

 
👀 Show answer
Before $3$rd: $2$. After $7$th: $3$. After $5$th: $5$. After $8$th: $2$.
 

🧠 Think like a Mathematician

You will need $3$ cubes of different colours.

 

Put them in the order of red $1$st, blue $2$nd, yellow $3$rd.

 

Question: What different patterns can you make with red $1$st?

You could have:

 

Investigate the different patterns if you have yellow first.

Investigate the different patterns if you have blue first.

Colour the patterns you have made.

Label the cubes in each pattern $1$st, $2$nd, $3$rd.

 

Now add a $4$th cube colour.

 

Follow-up Question: How many patterns can you make?

Show Answers
  • With $3$ cubes: There are $3! = 6$ different patterns.
  • With $4$ cubes: There are $4! = 24$ different patterns.
  • This is because the number of arrangements of different objects is found using factorials.
 

🔢 What Is a Sequence?

Asequence is a list of objects or numbers that are in a special order. This order could be going forwards or backwards.

 

📏 Sequences Follow Rules

Asequence has a rule. Sometimes it can have two rules. Sequences and patterns have rules that we need to understand so we know what comes next.

 

🌍 Patterns Are Everywhere

Patterns are everywhere. We see them on our clothes, on our walls, on our buildings and on flowers and trees. We see lots of patterns in maths too.

 

EXERCISES

1. Describe the pattern that you can see.

 

Draw a repeating pattern of your own. Describe it to a partner.

👀 Show answer
The pattern repeats every $3$ shapes: red square, blue triangle, yellow triangle.

2. Look at the row of learners.

Draw the next $2$ learners at the end of the row. Keep the pattern of their arms the same.

 

Make your own pattern using arms.

👀 Show answer
Continue the repeating arm pattern (for example: arms up, arms down, arms up…). The next two learners should follow the same repeating sequence.

3. Draw and colour your own pattern.

Use shapes or objects.

👀 Show answer
Answers will vary. Any clear repeating pattern using shapes or objects is correct.
 
📘 Worked example

Use the clues to colour each shape.

$1$. Red is next to green.
$2$. Green is above yellow.
$3$. Blue is between yellow and purple.
$4$. Purple is below orange.

 

Answer:

a. Red is next to green.

 

b. Green is above yellow.

 

c. Blue is between yellow and purple.

 

d. Purple is below orange.

 

Use each clue one step at a time. First place colours that must be next to each other. Then check which colours must be above or below others. Finally, make sure the colour that is “between” sits in the middle of the two named colours.

If all the rules are followed, different pictures can still be correct because the colours can be arranged in more than one valid way.

 

EXERCISES

4. Work with a partner.

Solve the clues to colour the squares.

Orange is below green.

Yellow is between green and purple.

Yellow is above blue.

Red is next to blue.

 
👀 Show answer
Top row (left to right): green, yellow, purple.
Bottom row (left to right): orange, blue, red.

5. Work with a partner.

Fill in the missing words.

next to    above    below    between

 

The green square is ______ the red square.

The blue square is ______ the yellow square.

The yellow square is ______ the blue square.

👀 Show answer
The green square is below the red square.
The blue square is above the yellow square.
The yellow square is below the blue square.

6. Make your own coloured squares puzzle.

 

Ask your partner some questions about your puzzle.

👀 Show answer
Answers will vary.

7. Look at this arrangement of shapes.

 

Draw the shape that is:

above the grey square

below the green square

between the blue triangle and the green square

next to the yellow circle

above the green star

👀 Show answer
Above the grey square: the green star.
Below the green square: the pink triangle.
Between the blue triangle and the green square: the yellow rectangle.
Next to the yellow circle: the red rectangle.
Above the green star: the blue triangle.

8. Give directions to your partner to get from the start to the finish.

Each section is a step.

Start by taking $2$ steps forward and then turn right.

 
👀 Show answer
Forward $2$, turn right, forward $2$, turn left, forward $2$, turn left, forward $3$.

9.

 

Colour her left hand red.

Colour her right hand blue.

Colour her left shoe green.

Colour her right shoe yellow.

Colour the left flower red.

Colour the right flower yellow.

👀 Show answer
Left hand: red. Right hand: blue. Left shoe: green. Right shoe: yellow. Left flower: red. Right flower: yellow.

10. Work with a partner.

Colour the path Aisha takes to get to her house without bumping into objects.

The path has been started for you.

Find $2$ other ways she could take.

Colour one green.

Colour the other one blue.

 
👀 Show answer
Answers will vary. Any two different paths from the start to the house that avoid all the objects are correct.
 

📘 What we've learned

  • We learned to recognise and use ordinal numbers such as $1$st, $2$nd, and $3$rd.
  • We practiced describing the position of objects using words like next to, above, below, and between.
  • We learned that ordinal numbers tell the order or position of items, not how many there are.
  • We explored sequences and repeating patterns and used rules to decide what comes next.
  • We used direction and position language such as left, right, in front of, and behind.
  • We solved puzzles by following clues about where coloured shapes must be placed.

Related Past Papers

Related Tutorials

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