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Introduction to Patterns – What is a pattern? – A pattern is a repeating design or rule. – Patterns around us – Patterns are in nature, art, and daily routines. – Sequences in patterns – A sequence is an ordered list of numbers. – Rules of number patterns – Rules tell us how to create or continue sequences. | Begin the lesson by explaining what a pattern is, emphasizing its repetitive nature and how it can be a rule that tells us what comes next. Show examples of patterns in everyday life, such as the sequence of seasons, daily schedules, or designs in art. Explain that sequences are specific types of patterns that follow a particular order, often found in math. Introduce the concept of rules in number patterns, which are instructions that tell us how to continue the sequence. Use simple examples to illustrate this, such as adding the same number to get to the next term in the sequence. Encourage students to think of patterns they encounter daily and to be ready to explore how to identify and extend them using rules.

Exploring Number Patterns – Find patterns in daily life – Look at nature, music, and art for patterns – Examples of simple patterns – Like counting by 2s: 2, 4, 6, 8 – Patterns can reverse direction – Count backwards by 3s: 9, 6, 3, 0 – Practice with different patterns | This slide aims to introduce students to the concept of number patterns in a fun and relatable way. Encourage them to observe patterns in their surroundings, such as the petals of flowers or rhythms in songs. Provide clear examples of simple number patterns, like skip counting, to solidify their understanding. Highlight that patterns can also go in reverse, which can be a new concept for them. Include class activities where students identify and create their own patterns, both forward and backward, using objects or drawings to reinforce the lesson.

Creating Rules for Number Patterns – Understanding pattern rules – A rule tells us how to create a sequence of numbers. – Determining the pattern’s rule – Look for what’s added or subtracted in the sequence. – Practice with pattern rules – Let’s find the rule for 2, 4, 6, 8… What’s happening? | This slide introduces students to the concept of rules in number patterns. Start by explaining that a rule in a number pattern is a consistent way to move from one number to the next. It’s like a secret code that tells us how to continue the sequence. To determine the rule, we look at the changes between consecutive numbers are we adding, subtracting, multiplying, or dividing? Provide practice examples for the students to apply this concept, such as finding the rule for the sequence 2, 4, 6, 8, which is adding 2 each time. Encourage students to explain their thinking process and how they arrived at the rule. This will help solidify their understanding and prepare them for more complex patterns.

Applying Rules to Number Patterns – Use rules to find missing numbers – If a pattern goes 2, 4, ?, 8, the rule is adding 2. So, what’s the missing number? – Examples: Patterns with rules – Like 5, 10, 15, ?, 25. Add 5 to find the missing number. – Group activity: Make a pattern – In groups, pick a starting number and a rule to add or subtract. Create a sequence. – Share your pattern and rule – Each group will explain their pattern and the rule they used to the class. | This slide is aimed at helping students understand how to apply a given rule to find missing numbers in a sequence. Start with simple examples and demonstrate how to identify the rule of the pattern. For the group activity, guide the students to work together to create their own number patterns using a simple rule of addition or subtraction. Encourage creativity in their choices of starting numbers and rules. After the activity, facilitate a discussion where each group shares their pattern and explains the rule they applied. This will reinforce their understanding and allow them to see a variety of patterns and rules.

Complex Number Patterns – Explore complex patterns – Patterns with more than one rule or varying steps – Learn to find pattern rules – Use addition, subtraction, or other operations to find the rule – Class exercise on pattern rules – Find the rule in given complex patterns and complete them | This slide introduces students to more complex number patterns that may involve multiple steps or rules. Begin by explaining that patterns can sometimes have more than just a simple addition or subtraction rule. They might include multiplication, division, or a combination of operations. During the class exercise, provide students with a series of complex patterns and ask them to identify the rule that governs each pattern. For example, a pattern might increase by 2, then by 3, then by 2 again, and so on. Encourage students to look for repetition and use trial and error to find the correct rule. Provide guidance and support as they work through the exercise. Possible activities could include pattern puzzles, group work to solve a pattern, or creating their own complex patterns for classmates to solve.

Practice Time: Number Patterns – Work on individual worksheets – Complete patterns using rules – Find the rule and apply it to continue the sequence – Discuss answers with a partner – Explain your thinking to your partner – Understand pattern rules | This slide is for a class activity focused on applying rules to complete number patterns. Provide students with individual worksheets containing various number patterns. Instruct them to determine the rule for each pattern (e.g., add 3, subtract 2) and use it to fill in the missing numbers. After completing the worksheet, students should pair up to discuss their answers and reasoning. This peer interaction encourages collaborative learning and helps students articulate their understanding of the concepts. As a teacher, circulate the room to offer guidance and ensure that each student is on the right track. Possible activities can include different sequences like arithmetic or geometric patterns, finding the next number, or creating their own patterns for others to solve.

Class Activity: Pattern Chain Game – Form groups for pattern chains – Create and present your pattern – Explain your pattern’s rule – What’s the rule? How did you decide the next number? – Vote on the most creative pattern | In this interactive class activity, students will work in small groups to create a sequence of numbers that follows a specific rule. Each group will then present their number pattern to the class and explain the rule that governs their pattern. After all presentations, the class will engage in a voting process to choose the most creative pattern and its underlying rule. This activity encourages teamwork, critical thinking, and creativity. As a teacher, facilitate the formation of groups, guide them in creating patterns, and ensure that each group understands the concept of a rule in a number pattern. Possible activities could include patterns with addition, subtraction, or even multiplication to cater to different skill levels. Encourage students to think outside the box and come up with unique rules for their patterns.

Wrapping Up: Patterns and Their Rules – Review of number patterns – Understanding pattern rules – Homework: Discover real-life patterns – Find 3 patterns at home or outdoors – Describe rules of observed patterns – Write the sequence and the rule you notice | As we conclude today’s lesson, recap the concept of number patterns and the importance of identifying the rule that governs them. For homework, students are tasked with observing their surroundings to find patterns, which could be in nature, architecture, or daily routines. They should write down each pattern they find, describe the sequence, and explain the rule that applies. This exercise will help reinforce their understanding of patterns and encourage them to apply mathematical concepts to the world around them. In the next class, ask students to share their findings and discuss the different types of patterns and rules they discovered.