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5th Grade Unit 4 - Patterns, Relationships, and Data
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last edited
by Gena Barnhill 10 months ago
5th Grade Unit 4: Patterns, Relationships, and Data
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Unit Driving Question
How do we use patterns, relationships, and data in real world situations?
Essential Questions
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In what ways can we visually represent our world?
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How do we analyze the data from a graph and what do we do with it?
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How do we find patterns of change to make predictions and generalizations within data sets?
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How can we visualize patterns of change?
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How are expressions and equations useful/efficient when solving real world problems?
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What type of situation is order of operations important, and why?
Big Ideas
- Operational knowledge is required to analyze graphs and data sets.
- Tables and rules can be used to visualize patterns of change on a coordinate plane.
- Properties and Order of Operations are used to evaluate and compare expressions.
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Launch Task
1 Lesson
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- How Many Chip Bags Should There Be? - Engaging 3 ACT lesson using multi-bags of chips and students must determine through gathering data and justifying graphic evidence how many of each flavor they would put in a multi-pack.
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Big Ideas for Development Lessons
5 Weeks (approximately 1-2 weeks per big idea)
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Big Idea 1: Operational knowledge is required to analyze
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OAS-M: 5.D.1.1, 5.D.1.2
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Collaborative Engagement
- Graphing Pandas - This Learnzillion website has a video to start kids thinking about using the information from graphs and tables.
Key Resources
- Everyday Mathematics- Use lessons 7-10, 7-11, 7-12, & 7-13 from this University of Chicago STEM education website for practice pages including identifying and visualizing patterns, and rules/tables/graphs.
- Central Tendency Analysis - This website has links to many activities and lessons for mean, median, mode, and range.
- Jumping Jack Math- Students then organize class data and explore mean, median, and mode and the effects extreme values have on these measures. Students then brainstorm the advantages and disadvantages each measure offers.
- State Data- Students create graphs based on the characteristics of the names of the 50 States, and find mean, median, mode, and range of the data.
- National League Champions - Students will create a bar graph of batting averages with decimal increments.
- What's the Better Buy?- Page 43-53, students will continue patterns and create a line graph with decimal increments.
Big Idea Formative Assessment
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Evidence of Understanding
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Construct line and double-bar graphs with whole and fractional/decimal increments
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Analyze line and double-bar graphs to compare data
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Demonstrate understanding of central tendency as the evening out of data
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Determine the central tendency of a data set
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Determine the range of a data set
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Apply understanding of ordered pairs to construct line and double bar graphs
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Big Idea 2: Tables and rules can be used to visualize patterns of change on a coordinate plane.
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OAS-M: 5.A.1.1, 5.A.1.2
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Collaborative Engagement
Key Resources
- Seating Problem- students will arrange seats at a table according to a pattern, they can then graph the data based on the pattern.
- Farmer Brown's Barn- Students create patterns and graph to figure out how many cows and chickens are on the farm.
- Science Fair Project- Students will help Sophia find patterns and graph data based on her science fair project.
- Sidewalk Patterns- Students will complete patterns and make predictions.
- Granny's Balloon Trip- Students will graph Granny’s balloon trip by finding equal increments and are asked to interpret data. This could be used for a formative assessment as well.
- Dan's Bicycle- Students will generate patterns and graph them while helping Dan save money for his bicycle.
- Activities and Lessons from Better Lesson.com - Students will describe and match a linear relationship from a graph, equation or table with a real world scenario.
Big Idea Formative Assessment
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Evidence of Understanding
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Analyze tables to determine patterns of change
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Determine the rule of a pattern of change, using up to two operations
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Apply knowledge of analyzing tables and determining rules to create ordered pairs to graph on section 1 of a coordinate plane
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Big Idea 3: Properties and order of operations are used to evaluate and compare expressions.
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OAS-M: 5.A.2.1
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Collaborative Engagement
Key Resources
Big Idea Formative Assessment
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Evidence of Understanding
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Apply understanding of the commutative, associative, and distributive properties to create equivalent expressions
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Apply understanding of the order of operations, without exponents, to solve problems or create equivalent expressions
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Unit Closure
1 Week (includes time for probes, re-engagement, and assessment)
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Re-engagement
- Quilting Pattern- Students will use a quilting pattern to continue patterns and graph data
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Back to Suggested Learning Progression for 5th Grade
5th Grade Unit 4 - Patterns, Relationships, and Data
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