Patterning Problems Diagrams, figures, colours, letters, numbers, pictures, etc. that repeat.
Picture Patterns were your first patterns … Assigned Letter Picture
What are you suppose to be learning about? Create, identify, and extend numeric (number) and geometric (shape) patterns. Build a model to represent a number pattern presented in a table of values. Make a table of values for a pattern. Make predictions related to growing and shrinking geometric and numeric patterns
T Chart vs table of values This is a T-Chart … it looks like a T This is a Table of Values … it has more columns and information than a t Chart. Figure Number # of Triangles # of Squares 1 2 3 4 5 6 Figure Number # of Triangles 1 2 3 4 5 6
Is this an increasing or decreasing pattern? Figure 1 Figure 2 Figure 3 Think-Abouts … Is this an increasing or decreasing pattern? Describe the pattern you see. Represent it in a Table of Values (T-Chart) Draw the next two figures.
Figure 1 Figure 2 Figure 3 Figure Number # of Triangles 1 2 3 4 5 6
Is this an increasing or decreasing pattern? Figure 1 Figure 2 Figure 3 Think-Abouts … Is this an increasing or decreasing pattern? Describe the pattern you see. Represent it in a Table of Values (T-Chart) Draw the next two figures.
Predict how many squares and triangles will be in the 10th figure. 1 2 Tasks: Complete the table Draw figure 5 and 6 Predict how many squares and triangles will be in the 10th figure. Figure Number # of Triangles # of Squares 1 2 3 4 5 6
Think-Abouts … Is this an increasing or decreasing pattern? Describe the pattern you see. Represent it in a Table of Values (T-Chart) Draw the next two figures.
Figure Number # of Dots # of Triangles 1 2 3 4 5 6
Table Spoons of Chocolate Chips # of Recipes Cups of Cake Mix Table Spoons of Chocolate Chips # of Ccupcakes Made 1 3 2 16 How many spoonfuls of chocolate chips are there in 4 recipes? How do you know? If Sarah wanted to make 40 cupcakes, how many recipes should she make? How do you know?
Day # of Three Pointers 1 10 2 15 3 20 4 5 6 7 8 9 11 12 13 14 Create a T-Chart to show his first two weeks of practicing. On what day would he shoot 100 3-pointers? How do you know?
Is this an increasing or decreasing pattern? Figure 1 Figure 2 Figure 3 Think-Abouts … Is this an increasing or decreasing pattern? Describe the pattern you see. Represent it in a Table of Values (T-Chart) Draw the next two figures. How many tables and chairs would there be in the 10th figure?
How many tables and chairs would there be in the 10th figure? Figure Number # of Tables # of Chairs 1 2 3 4 5 6 How many tables and chairs would there be in the 10th figure?
What are you suppose to be learning about? Create, identify, and extend numeric (number) and geometric (shape) patterns. Build a model to represent a number pattern presented in a table of values. Make a table of values for a pattern. Make predictions related to growing and shrinking geometric and numeric patterns
Figure Number # of Squares 1 2 3 4 7 5 11 6 16
Is this an increasing or decreasing pattern? Figure Number # of Squares 1 2 4 3 8 16 5 32 Is this an increasing or decreasing pattern? Describe the pattern you see. Represent it in a Model
Figure Number # of Squares 1 2 4 3 8 16 5 32
Is this an increasing or decreasing pattern? Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Think-Abouts … Is this an increasing or decreasing pattern? Describe the pattern you see. Represent it in a Table of Values (T-Chart) Draw the next two figures. How many squares would there be in the 10th figure?
Create your own pattern With your partner - Design a pattern that would require a 2-3 column T-Chart to solve. You pattern must have at least 2 different shapes that are following a pattern.
Instructions for your pattern: Exchange your pattern with another group. Complete the following:… Is this an increasing or decreasing pattern? Describe the pattern you see. Represent it in a Table of Values (T-Chart) Draw the next two figures. How many squares would there be in the 10 figure? How about the 25th?
Create a 6 number pattern that matches the rule The pattern increases by 5 each time.
Create a 6 number pattern that matches the rule The pattern doubles each time.
Create a 6 number pattern that matches the rule The pattern decreases by 8 each time.
Create a 6 number pattern that matches the rule The pattern begins at 3 and increases by 11 each time.
How could I describe this pattern exactly?
MatH review 3 headed monster You need to get into a group of three. Everyone gets their homework out. You cannot participate in a group without complete homework. Each person presents their solution to the problem. Each person gives good descriptive feedback Repeat until everyone has gone. Using your combined brain power, come up with your best answer as a group on a piece of grid paper. You will share this solution with the class.
Rule: The pattern triples each time. H.W. Task 1 Create a pattern that matches the pattern rule. Record the first 5 numbers in the pattern. Model the pattern. Rule: The pattern triples each time.
h.w. Task 2 Create a chart (table of values) that matches the pattern rule. Record the first 5 numbers in the pattern. Model the pattern. Rule: The number of large red squares increases by 1 starting at 1. The number of smaller blue squares starts at 8 and increases by 4 each time.
Table of Values 1 8 2 3 4 5 Figure Number Large Red Squares Smaller Blue Squares 1 8 2 3 4 5
Reminder 1 When we describe a pattern we need to describe the exact pattern we see, not just the operation. Example: 2, 4, 6, 8, 10 … The pattern increases by 2 each time … yup. Well so do an infinite amount of other patterns! The pattern begins at 2 and increases by 2 each time Ding Ding Ding!!
practice What is the pattern for the following patterns: 4, 8, 12, 16, 20 1, 2, 4, 8, 16, 32 24, 21, 18, 15, 12
Reminder 2 When we model a pattern we need to design patterns that show the pattern not just simple counting. Example: 2, 4, 6, 8, 10 …. Example of “counting”: Example of a “ pattern model”:
practice Model the following patterns: 4, 8, 12, 16, 20 1, 2, 4, 8, 16, 32 24, 21, 18, 15, 12