Mon 27th Feb – More Number Sequences

LEARNING OBJECTIVE: Develop techniques for finding the rule for more difficult sequences

SUCCESS CRITERIA: You will be able to find the rule for more difficult sequences and then add more numbers to the sequence

Notebook FIle

STARTER:

For each of these number sequences write down the Starting Number and the rule and the next 5 numbers in each of the sequences.

1. 5, 8, 11, 14, 17
   
2. 2, 8, 14, 20, 26
   
3. 1, 10, 19, 28, 37
   
4. 100, 92, 84, 76, 58
   
5. 21, 17, 13, 9
   

LESSON:

Look at this number sequence

1, 3, 6, 10, 15, 21...

Can you spot how the pattern is growing?

Work as a class trying to work out the rule and the next 5 numbers

Can you use these skills to find the rule and next five numbers for these sequences

1. 4, 5, 8, 13, 20
   
2. 5, 7, 11, 17, 25
   
3. 2, 5, 9, 14, 20, 27
   
4. 100, 90, 81, 73, 66
   
5. 180, 165, 142, 131, 121
   

What about this sequence. Can you spot the rule?

1, 1, 2, 3, 5, 8, 13

PLENARY: Checking Answers throughout the lesson. Check students can remember simple sequence, then check on more difficult sequences. Use five finger feedback from students.

Friday 24th Feb – Square Numbers, Triangle Numbers and Divisibility Tests

LEARNING OBJECTIVE: you will learn how to generate Square Numbers and Triangle Numbers and discover how to test if a number is divisible by 2, 3 , 4, 5 and 10

SUCCESS CRITERIA: You will be able to write down the first 10 square and triangle numbers and be able to tell if a number can be divided exactly by 2, 3, 4, 5 or 10

Divisibility Rules

STARTER: Watch this Video

LESSON: Using the Video explain how triangle numbers can be generated. Ask for other patterns that can be spotted

Use this Video to show how to generate square numbers.

Extra Challenge if time:

Add together two triangle numbers that are next to each other. What do you notice? Can you explain why this happens?

After Lunch.

How can you tell if a number can be divided by 2?

How can you tell if a number can be divided by 10?

How can you tell if a number can be divided by 5?

Is there a rule that you can use to test if a number can be divided by 3?

Or 4?

Or 6?

Or 7?

Or 8?.....

For each of these numbers Can you explain which numbers are divisible by 2 or 3 or 4 or 5 or 10

248, 1680, 3495, 7764, 6745, 9852, 13344, 36750, 7896, 234 564

PLENARY: Checking Answers throughout lesson, quick summary of triangle num, square num and divisibility checks from students, with five finger feedback.

Thur 23rd Feb – Grouped Frequency

LEARNING OBJECTVIE: How to collect data and display results in a grouped frequency table

SUCCESS CRITERIA: You will understand what a grouped frequency table is, be able to collect data in a grouped frequency table and draw a suitable chart to display the grouped frequency data

STARTER: Complete the Stacked Bar Chart or Clustered bar chart from yesterdays data collection at the end of the lesson

LESSON: Use screens 1 & 2 from this lesson to establish and demonstrate what we mean by a grouped frequency chart.

Have a go at Ex 8C page 97 of Year 7 Book2 text book.

EXTENSION: Extension work on Page 96

PLENARY: Checking answers. Five Finger Feedback

Mon Feb 20th – Number sequences

LEARNING
OBJECTIVE: To Recognise a Number sequence and extend it

SUCCESS
CRITERIA: You will be able to write down the rule for a number sequence and then use it to extend the number sequence

STARTER: For each of these number sequences Copy down the sequences and then add the next 3 numbers in the sequence

1. 1, 2, 3, 4, 5,
   
2. 30,29,28,27,26,25,
   
3. 1, 3, 5, 7, 9, 11,
   
4. 6, 8, 10,12,14,16,
   
5. 20, 18, 16, 14, 12,
   

LESSON: Discuss answers to above sequences and establish for each one the starting number and the rule of the sequence

Work thorugh the first 4 screens of this lesson

Pattern Rule Worksheet

Dice Number Sequences Worksheet – Explain how to use a dice to generate a number sequence and rule.

PLENARY: Checking answers with individuals and tables. Looking at Sequences on IWB to remind/review of Starting Number and rule ideas. Five Finger Feedback.