1. Course 2 1-1 Numbers and Patterns 1-1 Numbers and Patterns Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Course 2 1-1 Numbers and Patterns Learn to identify and extend patterns.

3. Course 2 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

4. Course 2 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.

5. Course 2 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.

6. Course 2 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.

7. Course 2 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..

8. Course 2 1-1 Numbers and 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. Additional Example 3: Using Tables to Identify and Extend Patterns Figure 2Figure 3 Figure 4 Figure 5 Figure 1

9. Course 2 1-1 Numbers and 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. Additional Example 3 Continued The table shows the numbers of triangles in each figure. The pattern is to add 2 triangles each time. Figure1234567 Number of Triangles 2468101214 +2 Figure 6 Figure 7 Figure 6 has 10 + 2 = 12 triangles Figure 7 has 12 + 2 = 14 triangles

10. Course 2 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.

11. Course 2 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