## Common Core State Standards for Mathematics

Grade(s) K-12 resources related to the following standard:
Standards for Mathematical Practice
Look for and express regularity in repeated reasoning.

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This problem gives children an opportunity to explore an increasing pattern and then generalize the results with a rule. Students begin with a single counter, surround it by a ring of other counters and then each new ring is surrounded with more counters. Solvers record results as they replicate the pattern and make predictions about many counters there will be in any given ring. The Teachers' Notes page offers suggestions for implementation, key discussion questions, ideas for extension and support.
Activity
Solvers of this problem apply number sense and logical reasoning to determine the numbers of cows and sheep in each of five fields by using clues about how many cows and sheep can be seen by each animal. The problem includes questions for getting started, suggestions for implementation and differentiation, a printable student page, and sample solutions.
Activity, Instructional Strategy
This place value and problem solving lesson focuses on forming 3-digit address numbers to meet specific requirement. The lesson provides an opportunity for learners to use the problem-solving strategies of looking for patterns and establishing an organized list. Students also learn that careful reading of information and understanding of mathematical language are important to finding appropriate solutions.
Activity, Lesson Plans
Grade Level: 2, 3, 4, 5
This unit of four lessons highlights different aspects of students’ understanding and use of patterns as they analyze relationships and make predictions, as discussed in the Algebra Standard. In this cluster of activities, students use two interactive math applets (both catalogued separately) to learn about repeating and growing patterns. In the first part, students explore a two-square pattern unit and in the second part, students investigate repeating patterns with pattern units of three, four, and five squares. In Part 3, students analyze repeating patterns of colored cubes and lastly in Part 4, students create growing patterns of colored cubes and compare them to repeating patterns.
Activity, Unit of Instruction
This interactive Cyberchase game allows learners to hear and see pre-made patterns in sound and color and also create their own pattern tunes with this virtual music player. Each of the six rows of the player represent a different instrument and sounds can be turned on by clicking on a square in each row. Other features allow the player to load new sounds or clear all sound patterns.
Activity, Interactive Media
This webpage features a STEM investigation developed by teachers Carrie Lewis and Kelly Steele to strengthen understanding of patterns with grade 5 students. After observing and analyzing dance videos, teams of students create their own routines based on numerical patterns. The page includes a downloadable (pdf) lesson plan, student handouts, and teacher tools, and features a 9-minute video describing the project and demonstrating students at work.
Activity, Lesson Plans, Unit of Instruction, Video
In this lesson, students learn some of the pitfalls of doing surveys. They also learn to examine the distribution of data, including data clusters, the range and mode(s). The lesson plan is supported with curriculum and standards alignments, a handout, assessment materials (rtf format), and a video segment.
Lesson Plans, Video
Grade Level: 3, 4, 5, 6+