## Common Core State Standards for Mathematics

Grade(s) 5 resources related to the following standard:
Operations and Algebraic Thinking
Write and interpret numerical expressions.
2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

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This Java applet allows the user to explore a variety of "spot" patterns. The tool generates an initial pattern and the learner must determine how many spots are contained in the next term and eventually a rule or expression to describe the growing pattern. A player can select the color of the spots as well as the level and type of pattern from a pull down menu.
Activity, Interactive Media
Grade Level: 3, 4, 5, 6+
This problem offers a simple context to begin an exploration of the properties of numbers and to make conjectures about those properties. Learners explore the sums of consecutive numbers and whether all positive numbers from 1-30 can be written as the sum of two or more consecutive numbers. The Teachers' Notes page offers suggestions for implementation, key discussion questions, ideas for extension and support.
Activity
Grade Level: 3, 4, 5, 6+
This lesson from Illuminations provides an introduction to the use of variables, and develops students' algebraic thinking. Students create variable machines to discover the value of words by assigning each letter of the alphabet a unique number value. Learning objectives, a materials list, a pdf file of the student worksheet, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are provided.
Lesson Plans