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Patterns and Functions: A Multi-Step Approach to Figure Analysis

natalie avatar
natalie
19 diapositives · 357 Views · Sep 06, 2013

Resource provides a comprehensive exploration of patterns and functions using visual figures. Students learn to identify and predict the number of shapes, such as dots and squares, in various figures based on emerging patterns. Activities include determining totals in specific rows and examining relationships between figure numbers and rows. Multi-step problems enhance learning by breaking down complex patterns into manageable parts. Students also practice real-world applications, such as organizing data and financial calculations based on distance traveled.

#patterns and functions #multistep problems #visual figures #total shapes #realworld application
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Patterns and Functions: A Multi-Step Approach to Figure Analysis
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  1. Created by Practice with PATTERNS & FUNCTIONS Gwendolyn Best

  2. Figure 1 Figure 2 Figure 3 Figure 5 Figure 4 How many total dots will be in Figure 7 if this pattern continues?

  3. Figure 1 Figure 2 Figure 3 Figure 5 Figure 4 How many pink dots will be in Figure 7 if this pattern continues?

  4. Figure 1 Figure 2 Figure 3 Figure 5 Figure 4 How many green dots will be in Figure 7 if this pattern continues?

  5. Figure 1 Figure 2 Figure 3 Figure 5 Figure 4 How many total dots will be in the bottom row of Figure 8 if this pattern continues?

  6. Figure 1 Figure 3 Figure 2 How many total dots will be in the bottom row of Figures 9, 10, and 11. How can you find the total number of dots in the bottom row of any figure if this pattern continues?

  7. Figure 1 Figure 3 Figure 2 How many total dots will be in the bottom row of Figures 9, 10, and 11. How can you find the total number of dots in the bottom row of any figure if this pattern continues?

  8. Figure 1 Figure 3 Figure 2 How can you easily find the number of pink dots in the bottom row of any figure if this pattern continues?

  9. Figure 1 Figure 2 Figure 3 Figure 5 Figure 4 Can you tell how the figure number relates to the number of rows in each pattern?

  10. PicturePattern2 Figure 4 Figure 1 Figure 2 Figure 3 Figure 5 How many squares will be in the top row of figure 8? How many squares will be in the top row of any figure if this pattern continues?

  11. PicturePattern2 Figure 4 Figure 1 Figure 2 Figure 3 Figure 5 • How many squares will be in the bottom row of Figure 7? • Figure 8? Figure 9? • If we know how many squares are in the top row, how can we find the number of squares in bottom row?

  12. What comes next in this pattern? This is a Multi-Step Problem Break the pattern apart to look at each part separately.

  13. Multi-Step Patterns Copy the chart and extend the pattern. Number the boxes.

  14. Figure 1 Figure 2 Figure 3 Figure 4 How many purple circles will be in the 10th figure? Can you explain how you know how many purple figures are in any figure?

  15. Figure 1 Figure 2 Figure 3 Figure 4 How many green circles will be in Figure 6? Can you draw figure 7 of this pattern?

  16. Tammy is riding her bike across Virginia to raise money for her favorite charity. For every 10 miles she rides, $3 will be donated. How much money will be donated when she travels 50 miles? Create a chart to help you.

  17. Tammy is riding her bike across Virginia to raise money for her favorite charity. For every 10 miles she rides, $3 will be donated. How much money will be donated when she travels 50 miles? Create a chart to help you.

  18. Every summer Ginny spends the summer with her grandparents. For every week she spends with them, three of those days are spent camping with cousins. After 6 weeks with her grandparents, how many days has Ginny spent away from home? And how many of those days did she spend camping? Make a chart to organize your work.

  19. After 6 weeks with her grandparents, how many days has Ginny spent away from home? And how many of those days did she spend camping? Make a chart to organize your work.