Mathematics (Nth Term)
Mathematics
FQ: What real-life problems can I solve using arithmetic and algebra?
Objective: Students will
Generate
number patterns and identify their rules using algebra.
Topic : nth term
The "nth term" refers to a formula that allows you to calculate any term in a sequence without having to find the preceding terms.
Teaching Activities
Observe the clip below
View the following table on, read the scenario and
comment
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Victoria and Jevaun are investigating what happens when
they add two consecutive numbers together. Jevaun says he thinks all the
answers will be an odd number. Is he correct?
Eg. 1 + 2 = 3 2 + 3
= 5
Use algebra to help you.
Copy and complete this table and write a rule to describe
the pattern.
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1 + 2 |
2 + 3 |
3 + 4 |
4 + 5 |
5 + 6 |
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Explain
Students
will:
Show their understanding and convince
a classmate that they are correct
Outline the rules that can be used to assist this method/strategy
Elaborate
Students
will:
Observe slides with information
Complete the following
- Here are the first 5 terms of a number sequence
3, 8, 13, 18, 23
Write down the next two terms in the sequence. ………………
2.Here are the first 5 terms of a number sequence
126, 122, 118, 114, 110
Write down the next two terms in the sequence. …………………
3. Here are the first 5 terms of an arithmetic sequence
3, 9, 15, 21, 27
Write down the 10th term in the sequence. …………………
- Write the next two terms in each sequence and the term to term rule for that sequence.
a)
2,
4, 6, 8, ___, ___ Term to term
rule……………………………………
b)
6, 3,
0, -3, ___, ___ Term to term
rule……………………………………
c)
1,
6, 11, 16 ___, ___ Term to term
rule……………………………………
d)
-10,
-6, -2, ___, ___ Term to term
rule……………………………………
e)
4,
11, 18, 25 ___, ___ Term to term
rule……………………………………
f) -15, -25, -35, ___, ___ Term
to term rule……………………………………
Tier 3
- Fill in the missing terms and write the term to
term rule for each sequence.
a)
1,
___, 7, ___, 13 Term
to term rule………………………………… 10th
term: ……….
b)
5,
___, 13, ___, 21 Term
to term rule………………………………… 10th
term: ……….
c)
13,
___, 5, ___, -3, ___ Term
to term rule………………………………… 10th
term: ……….
d)
4,
___, ___ 28, 36 Term
to term rule………………………………… 10th
term: ……….
e) -15, ___, ___,-9, ___, Term to term rule………………………………… 10th term: ……….
2. Here are the first 5 terms of an arithmetic sequence
3, 9, 15, 21, 27
Write down the 10th term in the sequence. …………………
What is the term to term rule for this sequence? …………………
James says that 150 is in the sequence. Is James right? Explain how
you know this.
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