Big Idea:

Identifying and Extending Patterns

Expectations:

C1. Patterns and Relationships: identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real‐life contexts

• Patterns: C1.1 identify and describe repeating elements and operations in a variety of patterns, including patterns found in real‐life contexts

• Patterns: C1.2 create and translate patterns that have repeating elements, movements, or operations using various representations, including shapes, numbers, and tables of values

• Patterns: C1.3 determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in patterns that have repeating elements, movements, or operations

teacher background

Students may benefit from prior experience with:

• identifying and extending repeating patterns involving one attribute

• representing repeating patterns with letters

• using math language to describe a repeating pattern

Have students share the strategies they used to identify the changing attributes and the pattern core.

Talk about how the patterns on Side A are alike (e.g., 2 attributes changing, 4 elements in the core, there is a part that repeats over and over again) and how they are different (e.g., different attributes changing, different letter cores: ABCD and ABCB). Repeat with the patterns on Side B.

Answers

Pattern 1: Colour: purple, blue, red, black

Shape: star, triangle, triangle, star

Core: purple star, blue triangle, red triangle, black star (all have 4 holes and same size)

Core with letters: ABCD

Next 5 elements: purple star, blue triangle, red triangle, black star, purple star

Pattern 2: Letter: x, y, y, y

Size: uppercase, lowercase, uppercase, lowercase

Core: uppercase X, lowercase y, uppercase Y, lowercase y (all are red)

Core with letters: ABCB

Next 5 elements: X, y, Y, y, X

Pattern 3: Size: big, small, small, small, big

Orientation: on side, on side, on side, on side, on vertex

Core: big plate on side, small plate on side, small plate on side, small plate on side, big plate on vertex (all are red)

Core with letters: ABBBC

Next 5 elements: big plate on side, small plate on side, small plate on side, small plate on side, big plate on vertex

Pattern 4: Colour: brown, red, pink, beige, pink

Number of holes: 4, 4, 2, 2, 2

Core: brown with 4 holes, red with 4 holes, pink with 2 holes, beige with 2 holes, pink with 2 holes (all are round buttons)

Core with letters: ABCDC

Next 5 elements: brown with 4 holes, red with 4 holes, pink with 2 holes, beige with 2 holes, pink with 2 holes

To allow students to show what they have learned in this lesson, go to the Exit Ticket and/or Practice.

Connections: Master 32: Patterns in Nature

Highlight for Students

• A repeating pattern can have more than one attribute changing.

• Repeating patterns result from making a repeated change to an attribute.

Accommodation: Focus on the patterns on Side A. For Pattern 1, have students identify the colour pattern, the shape pattern, and what repeats. For Pattern 2, have them identify the letter pattern, the size pattern, and what repeats.

Extension: Have students predict the 22nd element in a pattern, then extend the pattern to check. Or, have them show the pattern another way.

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SEL Self-Assessments (English) and Teacher Rubric

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