Five pages of shape patterns that grow or shrink by the same amount every step. Page 1 shows steps 1, 2 and 3 of four tile patterns, an L shape, stairs, a cup and a plus sign, and students draw step 4 on grid paper; the first one is a worked example. Page 2 has four more patterns to count: students fill in a table from step 1 to step 6 and write how many tiles each step adds. Page 3 turns it around with patterns that shrink: a tower, a triangle of dots, a ring and a cup lose the same amount each step, and students draw and count step 4. Page 4 builds squares, triangles and houses from sticks; students count the sticks, finish a table and predict step 10. Page 5 asks which step has 14 tiles, which step of a pattern was drawn wrong, and then has students make a growing pattern of their own and describe its rule.
Build page 1's L shape with square tiles or snap cubes before handing out the pages, adding the same number of tiles each time while the class counts. For page 4, a box of toothpicks or craft sticks lets students build each step and test their step 10 prediction on the next one or two steps. Page 5's make-your-own pattern works well as a partner swap: trade patterns and find each other's rule.
Make a growing pattern with coins, buttons or blocks: add two each time and ask how many there will be in step 5 before building it. Toothpicks or pasta pieces make good sticks for the square and triangle patterns on page 4.
This pack supports the following Common Core State Standards for Mathematics:
© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
A 5-page growing patterns pack for 3rd grade. Draw the next step of tile patterns that grow (L shapes, stairs, cups, plus signs), count the tiles and fill a table to step 6, draw the next step of shrinking towers, rings and triangles of dots, count the sticks in toothpick patterns and predict step 10, then find which step has 14 tiles, spot the step drawn wrong and make a pattern of your own. Every page comes in color and in black and white. Answer keys included.
Tell us what to make next, or build your own with a worksheet maker.
This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.