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Grade 6 Lesson: Identify and Describe Patterns Using Different Representations. Create and Translate Patterns. Determine Pattern Rules. Solve for Unknown Values.

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Grade 6 Lesson Plan: Identifying and Describing Patterns

Introduction:

  • Begin the lesson by asking students if they have ever noticed patterns in their daily lives or in nature.
  • Explain that patterns are all around us and can be found in various forms, such as repeating, growing, and shrinking patterns.
  • Inform students that today's lesson will focus on identifying and describing these patterns, as well as creating and translating them using different representations.

Minds On:

  • Show students a series of images or objects that display different patterns (e.g., a checkerboard, a sequence of numbers, a growing plant).
  • Ask students to discuss with a partner what they notice about each pattern and whether they can identify any similarities or differences.
  • Have a few students share their observations with the class.

Materials:

  • Chart paper and markers
  • Whiteboard and markers
  • Worksheets (repeating, growing, and shrinking patterns)
  • Graph paper
  • Algebraic expression cards (optional)

Action (Working On It): Lesson Outline:

  1. Introduce the concept of repeating patterns (C1.1):
  • Define repeating patterns as patterns that have a sequence of elements that repeat in a predictable manner.
  • Provide examples of repeating patterns, such as ABABAB or 123123123.
  • Have students identify and describe repeating patterns in real-life contexts, such as patterns in music, clothing, or architecture.
  1. Introduce the concept of growing and shrinking patterns (C1.1):
  • Define growing patterns as patterns that increase or decrease in a predictable manner.
  • Provide examples of growing patterns, such as 2, 4, 6, 8 or 100, 90, 80, 70.
  • Specify that growing patterns can be linear or non-linear, but for this lesson, we will focus on linear growing patterns.
  • Have students identify and describe growing and shrinking patterns in real-life contexts, such as patterns in population growth or the decrease in temperature over time.
  1. Create and translate patterns using various representations (C1.2):
  • Provide students with tables of values, graphs, and algebraic expressions.
  • Model how to create and translate patterns using each representation.
  • Have students practice creating and translating patterns using the provided resources.
  1. Determine pattern rules and extend patterns (C1.3):
  • Introduce the concept of pattern rules as the underlying rule or formula that governs a pattern.
  • Model how to determine pattern rules and use them to extend patterns.
  • Provide students with patterns and have them determine the pattern rules and extend the patterns.
  • Use algebraic representations to solve for unknown values in linear growing patterns.

Questioning:

  • What is a repeating pattern? Can you provide an example?
  • How can you identify a growing pattern? Can you give an example of a growing pattern in real life?
  • What are some different ways to represent patterns?
  • How can you determine the pattern rule of a given pattern?
  • How can algebraic expressions and equations help us solve for unknown values in linear growing patterns?

Learning Goals:

  • Identify and describe repeating, growing, and shrinking patterns.
  • Create and translate patterns using various representations.
  • Determine pattern rules and use them to extend patterns.
  • Solve for unknown values in linear growing patterns using algebraic representations.

Success Criteria:

  • Students can identify and describe repeating, growing, and shrinking patterns in real-life contexts.
  • Students can create and translate patterns using tables of values, graphs, and algebraic expressions.
  • Students can determine pattern rules and use them to extend patterns.
  • Students can solve for unknown values in linear growing patterns using algebraic representations.

Assessment for Learning:

  • Observe students' participation and engagement during class discussions and activities.
  • Provide feedback on students' ability to identify and describe patterns accurately.
  • Monitor students' progress in creating and translating patterns using different representations.

Assessment as Learning:

  • Encourage students to reflect on their learning by asking them to explain their thinking and reasoning behind identifying patterns and determining pattern rules.
  • Provide opportunities for students to self-assess their understanding of the concepts covered in the lesson.

Differentiation:

  • Provide additional support to struggling students by offering extra practice worksheets or providing manipulatives to help them visualize patterns.
  • Challenge advanced students by asking them to create more complex patterns or solve for unknown values in non-linear growing patterns.

Equity, Inclusion, Diversity, and Indigenization:

  • Incorporate examples of patterns from diverse cultures and backgrounds to promote inclusivity and diversity.
  • Use visuals and hands-on activities to accommodate different learning styles and abilities.
  • Incorporate Indigenous perspectives and examples of patterns found in Indigenous art or nature.

Consolidation and Plenary:

  • Review the main concepts covered in the lesson, including identifying and describing repeating, growing, and shrinking patterns, creating and translating patterns using various representations, and determining pattern rules.
  • Have students share their creative activity, such as a pattern they created or a real-life example of a pattern they found.
  • Summarize the importance of patterns in our daily lives and how they can help us make predictions and solve problems.

Resources:

  • Video resources:
  • "Patterns in Nature" by National Geographic Kids
  • "Patterns in Music" by TED-Ed
  • Worksheet resources:
  • "Repeating Patterns Worksheet" by Education.com
  • "Growing Patterns Worksheet" by Math Salamanders
  • Creative Activity: Ask students to create their own repeating, growing, or shrinking pattern using any medium they prefer (e.g., drawing, painting, collage). They should also provide a written description of their pattern and explain how it relates to real-life contexts.