m_5_patterns_4th_9wks -- NEISD.net

5th Grade Math

The lesson below is designed to help you address Patterns, Relationships, and Algebraic Thinking.

Math TEKS   NEISD Technology Standards
5.5A Use concrete objects or pictures to make generalizations about determining all possible combinations W1 Create a new document or open an existing one on the student-shared directory.
5.5B Use lists, tables, charts, and diagrams to find patterns and make generalizations. W11 Create tables to structure and organize information.
5.14B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness. W12 Access available tools (standard, formatting, drawing, etc.) by selecting View from the menu bar and choosing Toolbars.
5.14C Select or develop an appropriate problem-solving strategy, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem. W13 Use Draw tools (WordArt, Text Box, Paint bucket, Lines and Arrows, and AutoShapes
5.14D Use tools such as real objects, manipulatives, and technology to solve problems.    
5.15A Explain and record observations using objects, words, pictures, numbers, and technology.    
5.15B Relate informal language to mathematical language and symbols.    
5.15C Make generalizations from patterns or sets of examples and non-examples.    
5.15D Justify why an answer is reasonable and explain the solution process.    

Lesson Title:  Math Patterns

Software Application:  Microsoft Word

Directions:

  1. Have the students open Microsoft Word.
  2. Have the students create a table that has two rows and at least 5 columns. (Click on Table-Insert-Table and the put in the dimensions of the table that you want.)
  3. Label the first row "Number of Objects" and the second one "Total Possibilities".
  4. Label the rest of the top row with the numbers 3, 4, and 5. (The last cell will be empty)
  5. Have them open the Drawing toolbar. (Click on View-Toolbars-Drawing: If there is a check by Drawing then the toolbar is already open.)
  6. Have the students use the AutoShapes in the Drawing toolbar to create patterns.
    1. Have students choose a shape from AutoShapes in the Drawing toolbar, and then click on the Word document. (The shape should appear on the screen.)
    2. Have the students choose 2 different shapes and repeat step 1.
    3. Have the students put the shapes in some order.
    4. Have the students right click on the shape, copy it, right click on the document, and paste the shape again.
    5. Repeat step 4 for the other shapes.
    6. Put the shapes in a different order.
    7. Continue steps 4, 5, and 6 until they have shown all of the possible combinations.
    8. Put the number of possibilities that they came up with in the proper cell in the table.
    9. Have the students repeat steps 1-8 with four items and then 5 items. (You may have the students change from shapes to letters if this will help the students work quicker.)
  7. Have the students see if they can develop a formula that they could use to find the number of possible patterns for a larger number. Have the students explain and justify their thoughts under the table.
  8. Have the students test their formula with another number and determine if there formula was correct.
  9. Have the students record their thoughts again. Did the formula work. How can they be sure. If time permits, continue to have the students test there formula, or if it did not work, have the students try to come up with another formula and test it.