Curriculum / Math / 4th Grade / Unit 3: Multi-Digit Division / Lesson 16
Math
Unit 3
4th Grade
Lesson 16 of 16
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Lesson Notes
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Identify and extend repeating shape patterns.
The core standards covered in this lesson
4.OA.C.5 — Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
The foundational standards covered in this lesson
3.OA.D.9 — Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
“Properties of repeating patterns of shapes can be explored with division. For example, to determine the 100th shape in a pattern that consists of repetitions of the sequence “square, circle, triangle,” the fact that when we divide 100 by 3 the whole number quotient is 33 with remainder 1 tell us that after 33 full repeats, the 99th shape will be a triangle (the last shape in the repeating pattern), so the 100th shape is the first shape in the pattern, which is a square” (OA Progression, p. 31). Thus, Lesson 16’s additional cluster content of repeating shape patterns connects across clusters to the major work of interpreting remainders (4.OA.3) as well as across domains to the major work of multi-digit division (4.NBT.6).
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
Ms. Roth used a patterned border around her bulletin board. She then posted some student work on her bulletin board. This is what it looks like:
What part of the border did Ms. Roth cover up?
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A repeating pattern is shown below.
a. What will be the next shape in the pattern?
b. What will be the 20th shape in the pattern? The 65th shape in the pattern?
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Belinda made the following repeating shape pattern.
What will be the $${100^{\mathrm{th}}}$$ shape in the pattern? Show or explain how you know.
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Topic A: Understanding and Interpreting Remainders
Solve division word problems with remainders.
Standards
4.OA.A.3
Solve division word problems that require the interpretation of the remainder.
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Topic B: Division of up to Four-Digit Whole Numbers by One-Digit Whole Numbers
Divide multiples of 10, 100, and 1,000 by one-digit numbers.
4.NBT.B.6
Divide two-, three-, and four-digit numbers by one-digit numbers using a variety of mental strategies.
Solve two-digit dividend division problems with no remainder or a remainder in the ones place with smaller divisors and quotients.
Solve two-digit dividend division problems with a remainder in the tens and/or ones place with smaller divisors and quotients.
Solve two-digit dividend division problems with a remainder in any place with larger divisors and quotients.
Solve three-digit dividend division problems with a remainder in any place.
Solve four-digit dividend division problems with a remainder in any place.
Solve two-, three-, and four-digit dividend problems, including the special cases of having a 0 in the quotient or dividend, and assess the reasonableness of the quotient.
Topic C: Multi-Step Word Problems and Patterns
Apply the formulas for area and perimeter in real-world and mathematical problems involving all four operations.
4.MD.A.34.OA.A.3
Solve two-step word problems involving all four operations, including those involving interpreting the remainder.
4.NBT.B.64.OA.A.3
Solve multi-step word problems involving all four operations.
4.MD.A.34.NBT.B.64.OA.A.3
Identify and extend growing number patterns.
4.OA.C.5
Identify and extend growing shape patterns.
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