Transcript 2. - Montana City School

1-1
1-1 Numbers
Numbersand
andPatterns
Patterns
Warm Up
Problem of the Day
Lesson Presentation
Course 2
1-1 Numbers and Patterns
Warm Up
Write a number in which no digit is
repeated for each description.
1. 4-digit number divisible by 5 and 10.
Possible answer 1,230
2. 4-digit number divisible by 3 and 5.
Possible answer 1,245
3. 4-digit number divisible by 2, 3 and 6.
Possible answer 1,356
Course 2
1-1 Numbers and Patterns
Problem of the Day
For each of the following, write the product
of three and the number.
–2, 3, 7, 12, 18
–6, 9, 21, 36, 54
Course 2
1-1 Numbers and Patterns
Learn to identify and extend patterns.
Course 2
1-1 Numbers and Patterns
Additional Example 1A: Identifying and Extending
Number Patterns
Identify a possible pattern. Use it to write the
next three numbers.
3, 12, 48,
,
,
3
,...
12
4
48
4
4
4
4
A pattern is to multiply each number by 4 to get
the next number.
48  4 = 192,
192  4 = 768,
768  4 = 3072
So the next numbers will be 192, 768, and 3072.
Course 2
1-1 Numbers and Patterns
Additional Example 1B: Identifying and Extending
Number Patterns
Identify a possible pattern. Use it to write the
next three numbers.
7, 12, 17,
,
,
7
,...
12
+5
17
+5 +5
+5
+5
A pattern is to add each number by 5 to get the
next number.
17 + 5 = 22,
22 + 5 = 27,
27 + 5 = 32
So the next numbers will be 22, 27, and 32.
Course 2
1-1 Numbers and Patterns
Additional Example 1C: Identifying and Extending
Number Patterns
Identify a possible pattern. Use it to write the
next three numbers.
20, 17, 14,
,
,
20
–3
,...
17
–3
14
–3
–3
–3
A pattern is to subtract each number by 3 to get
the next number.
14 – 3 = 11,
11 – 3 = 8,
8–3=5
So the next numbers will be 11, 8, and 5.
Course 2
1-1 Numbers and Patterns
Check It Out: Example 1A
Identify a possible pattern. Use it to write the
next three numbers.
18, 25, 32,
,
,
,...
18 25 32
+7
+7
+7
+7
+7
A pattern is to add each number by 7 to get the
next number.
32 + 7 = 39,
39 + 7 = 46,
46 + 7 = 53
So the next numbers will be 39, 46, and 53.
Course 2
1-1 Numbers and Patterns
Check It Out: Example 1B
Identify a possible pattern. Use it to write the
next three numbers.
45, 41, 37,
,
,
45
–4
,...
41
–4
37
–4
–4
–4
A pattern is to subtract each number by 4 to get
the next number.
37 – 4 = 33,
33 – 4 = 29,
29 – 4 = 25
So the next numbers will be 33, 29, and 25.
Course 2
1-1 Numbers and Patterns
Check It Out: Example 1C
Identify a possible pattern. Use it to write the
next three numbers.
2, 6, 18,
,
,
,...
2
3
6
18
3
3
3
3
A pattern is to multiply each number by 3 to get
the next number.
18  3 = 54,
54  3 = 162,
162  3 = 486
So the next numbers will be 54, 162, and 486.
Course 2
1-1 Numbers and Patterns
Additional Example 2: Identifying and Extending
Geometric Patterns
Identify a possible pattern. Use it to draw the
next three figures.
The pattern is to rotate the figure in a
counterclockwise direction.
So the next three figures will be
.
Course 2
1-1 Numbers and Patterns
Check It Out: Example 2
Identify a possible pattern. Use it to draw the
next three figures.
The pattern is three triangular objects that repeat,
while alternating between orange and green.
So the next three figures will be
.
Course 2
1-1 Numbers and Patterns
Additional Example 3: Using Tables to Identify and
Extend Patterns
Make a table that shows the number of
triangles in each figure. Then tell how many
triangles are in the seventh figure of the
pattern. Use drawings to justify your answer.
Figure 1
Figure 2
Figure 4
Course 2
Figure 3
Figure 5
1-1 Numbers and Patterns
Additional Example 3 Continued
Make a table that shows the number of
Triangles in each figure. Then tell how many
triangles are in the seventh figure of the
pattern. Use drawings to justify your answer.
The table shows the numbers of triangles in each figure.
Figure
1
2
3
4
5
6
7
Number of
Triangles
2
4
6
8
10
12
14
+2
+2
+2
+2
Figure 6 has 10 + 2 = 12 triangles
Figure 6
Course 2
+2
The pattern is to add
2 triangles each time.
+2
Figure 7 has 12 + 2 = 14 triangles
Figure 7
1-1 Numbers and Patterns
Check It Out: Additional Example 3
Make a table that shows the number of
squares in each figure. Then tell how many
squares are in the seventh figure of the
pattern. Use drawings to justify your answer.
Figure 1
Figure 2
Figure 4
Course 2
Figure 3
Figure 5
1-1 Numbers and Patterns
Check It Out: Example 3 Continued
Make a table that shows the number of Squares
in each figure. Then tell how many squares are
in the seventh figure of the pattern. Use
drawings to justify your answer.
The table shows the numbers of squares in each figure.
Figure
1
2
3
4
5
6
7
Number of
Triangles
4
8
12
16
20
24
28
+4
+4
+4 +4
Figure 6 has 20 + 4 = 24 squares
Figure 6
Course 2
The pattern is to add
4 squares each time.
+4 +4
Figure 7 has 24 + 4 = 28 squares
Figure 7
1-1 Numbers and Patterns
Lesson Quiz: Part I
Identify a possible pattern. Use the pattern to
write next three numbers.
1. –8, –6, –4,
,
,
,…
Add 2; -2, 0, 2
2. –3, 6, –12, 24, , , , …
Multiply by -2; -48, 96,-192
3. 0, 1, 3, 6, 10,
,
,
,…
Add 1 more than the number previously added;
15, 21, 28.
Course 2
1-1 Numbers and Patterns
Lesson Quiz: Part II
Identify a possible pattern. Use the
pattern to draw the next three figures.
4.
5. Make a table that shows the number
of dots in the figure. Then tell how
many dots are in the seventh figure of
the pattern. Use drawings to justify
your answer.
14
Course 2