Sequences • Digits

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Transcript Sequences • Digits

Sequences • Digits
Lesson 1
Saxon Math 6/5
By the end of this lesson, you will
know how to…

Sequences
 Describe
the rule for a sequence
 Count up or down to identify missing terms in
a counting sequence

Digits
 Find
the number of digits in a given number
 Name the last digit of a given number
Facts Practice

100 Addition Facts
Mental Math
3
+3
 30 + 30
 300 + 300
 40 + 50
 200
+ 600
 50 + 50
 20 + 20 + 20
 500 + 500 + 500
Problem Solving
 The
counting numbers are 1, 2, 3,
4, and so on. How many one-digit
counting numbers are there?
 Nine- 1, 2, 3, 4, 5, 6, 7, 8, 9
Sequences
Counting by ones, we say….
1, 2, 3, 4, 5, 6, …
 These are counting numbers
Can also count by twos, fives, etc
 An ordered list of numbers is a
sequence
 Each member of the sequence is a term

Sequences
1, 2, 3, 4, 5, 6, …
 3 dots mean the sequence continues
 Study a sequence to discover a
pattern or rule
 The rule is used to find more terms
for the sequence
 Example:
Sequences: Example 1
 What
are the next three terms in
this counting sequence?
3, 6, 9, 12, 15, 18, 21, …
 Solution:
The pattern is count up by threes.
So the terms are…
Sequences: Example 2
 Describe
the rule for this sequence.
What is the next term in the
sequence?
56, 49, 42, 35, …
 Solution:
This sequence counts down by
sevens. So the term is…
Digits

Our number system has ten digits
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
385
 Has three (3) digits
 Last digit is 5
148,567,896,094
 Has twelve (12) digits
 Last digit is 4
Digits: Examples
 The
number 186,000 has how
many digits?
Solution: Six digits
 What is the last digit of 26,348?
Solution: The last digit is 8