4.OA.5 - About the Math, Learning Targets, and Rigor
Grade 4 Patterns
4.OA.5
Full Standard
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
Measurement Topic
This standard is reported on the report card in these quarters as follows:
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Demonstrates understanding of patterns, expressions, equations, and algebraic thinking. |
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Solves one and two-step word problems with any operation. |
Learning Targets
- Generate a pattern that follows a given rule.
- Extend a pattern that follows a given rule.
About the Math
Students need to recognize patterns, extend patterns, describe patterns, and create patterns. Repeated patterns have a part or a core that repeats over and over. Examples of repeated patterns can include using shapes and numbers. You can describe a pattern by stating the rule it is following. Number Changing number patterns are examples of number sequences.
A sequence is a set of numbers that are arranged in a certain order. Each number in the sequence is called a term. Essential vocabulary for this standard includes rule, term, and pattern. Visit the online dictionary
Links to an external site. or multilingual dictionary
Links to an external site. for vocabulary support.
Examples
Repeating pattern: 1, 4, 7, 1, 4, 7, 1, 4, 7, 1, 4, 7, 1, 4, 7, 1, 4, 7
Changing pattern: 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37
Progression of Standard within Grade 4
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Progression of this Standard Across Grades
This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.
Grade 3 | Grade 5 |
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TASKS
These tasks can be used with small group or whole group instruction.
- Create patterns using colored tiles, two-sided counters, or unifix cubes. Provide students the opportunity to notice and wonder after observing the pattern. Students should work with partners or in a small group to identify the rule in the pattern, create the next step in the pattern, and/or find the missing parts of the pattern.
- Create 2 patterns that have the same rule.
- How can you use a multiplication chart to show the patterns in created by the distributive property?
- Do basic fact strategies (i.e. double plus one). Do they work with all addends?
- We might think of multiplying by 9 as 1 group less than a number x 10. Does this work with 2-digit numbers? How do you know?
- How would you describe the difference between a repeating pattern and a growing pattern?
SLIDE-BASED TASKS
These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.
Module
Work with patterns:
- Sit Up Sums Links to an external site.
- Train Patterns Links to an external site.
- Number Patterns Links to an external site.
- Shape Patterns Links to an external site.
- Floor Patterns Links to an external site.
- Money Patterns Links to an external site.
- Tickets to Win Links to an external site.
- Making Faces Links to an external site.
- Step by Step Links to an external site.
Additional Tasks
These links provide instructional ideas connected to this standard.
- Double Plus One Links to an external site. (Illustrative Math)
- Multiples of nine Links to an external site. (Illustrative Math)
- Multiples of 3, 6, and 7 Links to an external site. (Illustrative Math)
- Determine the Rule Download Determine the Rule (ppt)
- Earth Day Project Links to an external site.(Georgia Dept. of Education, pg. 107-113)
- Buttons Links to an external site. (Inside Mathematics)
- Box Top Contest Download Box Top Contest (Cache County Public Schools, Utah Lesson)
Tasks from Print Resources
These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.
Book Thumbnail | Book Title | Grade | Pages |
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Teaching Student-Centered Mathematics | 3-5 |
Predict Down The Line, Activity 10.1, Page 291 |
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Nimble with Numbers |
2-3 4-6 |
58 176-178 |
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Hands-On Standards | 3-4 | 94-95 (Extend Patterns) 96-97 (Identify the Rule) 100-101 (Identify Change) |
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Groundworks Algebraic Thinking | 4 | 16-23 and 104-119 | |
20 Thinking Questions for Pattern Blocks
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3-6 | 2, 58, and 66 | |
SuperSource: Color Tiles Super Source Cuisenaire Rods |
19-26, 42-45, 50-53 72-73 |
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NumberSense |
4-6 |
76-178 | |
Math In Practice
Teaching Fourth-Grade Math |
4 |
Module 15 |
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Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds.
- What is a Square Number?
Download What is a Square Number? (HCPSS-adapted print resource)
- Various Squares Download Various Squares (HCPSS-adapted print resource)
- Triangular Number Patterns Download Triangular Number Patterns (HCPSS-adapted print resource)
- Two Stepping Download Two Stepping (HCPSS-adapted print resource)
INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT
These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.
- Patterns a Links to an external site.
- Patterns b Links to an external site.
- Patterns c Links to an external site.
- Extend and and Explain a Growing Shape Pattern Links to an external site.
- Extend and Reason About a Repeating Shape Pattern Links to an external site.
- Extend and Reason About a Repeating Shape Pattern_2 Links to an external site.
- Generate and Compare Shape Patterns Links to an external site.
- Generate and Compare Number Patterns Links to an external site.
- Generate and Reason About a Number Pattern Links to an external site.
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Learning Targets
- Generate a pattern that follows a given rule.
- Extend a pattern that follows a given rule.
Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading.
Rubric for Tasks Links to an external site.
Visit the SBIR (Standards Based Instruction and Reporting) tab in Course Essentials for more information and clarification. There you will find the measurement topic crosswalk, report card comments, links to professional learning/resources and guidance.
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This course content is offered under a CC Attribution Non-Commercial Share Alike
Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.