1-1 numbers and patterns warm up warm up lesson presentation lesson presentation problem of the day...
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![Page 1: 1-1 Numbers and Patterns Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes Objective:](https://reader031.vdocuments.net/reader031/viewer/2022032607/56649ec05503460f94bcacdf/html5/thumbnails/1.jpg)
1-1 Numbers and Patterns
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
Objective: Students identify and extend patterns
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1-1 Numbers and Patterns
Warm UpWrite a number in which no digit is repeated for each description.1. 4-digit number divisible by 5 and 10.
2. 4-digit number divisible by 3 and 5.
3. 4-digit number divisible by 2, 3 and 6.
Possible answer 1,230
Possible answer 1,245
Possible answer 1,356
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1-1 Numbers and Patterns
Problem of the Day
For each of the following, write the product of three and the number.3, 7, 12, 18
9, 21, 36, 54
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1-1 Numbers and Patterns
Learn to identify and extend patterns.
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1-1 Numbers and Patterns
Vocabulary
conjecture
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1-1 Numbers and Patterns
Identify a possible pattern. Use it to write the next three numbers.
Additional Example 1A: Identifying and Extending Number Patterns
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.
4 4 4 4 4
3, 12, 48, , , , . . .
3 12 48
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1-1 Numbers and Patterns
Additional Example 1B: Identifying and Extending Number Patterns
7, 12, 17, , , , . . .
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.
+ 5 + 5 + 5 + 5 + 5
7 12 17
Identify a possible pattern. Use it to write the next three numbers.
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1-1 Numbers and Patterns
Additional Example 1C: Identifying and Extending Number Patterns
20, 17, 14, , , , . . .
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.
– 3 – 3 – 3 – 3 – 3
20 17 14
Identify a possible pattern. Use it to write the next three numbers.
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1-1 Numbers and Patterns
Check It Out: Example 1A
18, 25, 32, , , , . . .
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.
+ 7 + 7 + 7 + 7 + 7
18 25 32
Identify a possible pattern. Use it to write the next three numbers.
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1-1 Numbers and Patterns
Check It Out: Example 1B
45, 41, 37, , , , . . .
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.
– 4 – 4 – 4 – 4 – 4
Identify a possible pattern. Use it to write the next three numbers.
45 41 37
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1-1 Numbers and Patterns
Check It Out: Example 1C
2, 6, 18, , , , . . .
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.
3 3 3 3 3
Identify a possible pattern. Use it to write the next three numbers.
2 6 18
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1-1 Numbers and Patterns
Identify a possible pattern. Use it to draw the next three figures.
Additional Example 2: Identifying and Extending Geometric Patterns
The pattern is to rotate the figure in a counterclockwise direction.
So the next three figures will be
.
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1-1 Numbers and Patterns
Check It Out: Example 2
The pattern is three triangular objects that repeat, while alternating between orange and green.
So the next three figures will be
Identify a possible pattern. Use it to draw the next three figures.
.
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1-1 Numbers and Patterns
You can analyze patterns to make conjectures. A conjecture is a statement believed to be true.
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1-1 Numbers and Patterns
Make a table that shows the number of triangles in each figure. Then make a conjecture about the number of triangles in the seventh figure of the pattern. Complete the table, and use drawings to justify your answer.
Additional Example 3: Using Tables to Identify and Extend Patterns
Figure 2 Figure 3
Figure 4 Figure 5
Figure 1
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1-1 Numbers and Patterns
Additional Example 3 Continued
The table shows the numbers of triangles in each figure.
The pattern is to add 2 triangles each time.
Figure 1 2 3 4 5 6 7
Number of Triangles
2 4 6 8 10 12 14
+2 +2 +2 +2 +2 +2
Figure 6 Figure 7
Figure 6 has 10 + 2 = 12 triangles Figure 7 has 12 + 2 = 14 triangles
Make a table that shows the number of triangles in each figure. Then make a conjecture about the number of triangles in the seventh figure of the pattern. Complete the table, and use drawings to justify your answer.
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1-1 Numbers and Patterns
Make a table that shows the number of squares in each figure. Then make a conjecture about the number of squares in the seventh figure of the pattern. Complete the table, and use drawings to justify your answer.
Check It Out: Additional Example 3
Figure 2 Figure 3
Figure 4 Figure 5
Figure 1
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1-1 Numbers and Patterns
Check It Out: Example 3 Continued
The table shows the numbers of squares in each figure.
The pattern is to add 4 squares each time.
Figure 1 2 3 4 5 6 7
Number of Squares
4 8 12 16 20 24 28
+4 +4 +4 +4 +4 +4Figure 6 has 20 + 4 = 24 squares Figure 7 has 24 + 4 = 28 squares
Figure 6 Figure 7
Make a table that shows the number of squares in each figure. Then make a conjecture about the number of squares in the seventh figure of the pattern. Complete the table, and use drawings to justify your answer.
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1-1 Numbers and Patterns
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
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1-1 Numbers and Patterns
Identify a possible pattern. Use the pattern to write next three numbers.
Lesson Quiz: Part I
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.
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1-1 Numbers and Patterns
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.
Lesson Quiz: Part II
14