Curriculum / Math / 4th Grade / Unit 3: Multi-Digit Division / Lesson 11
Math
Unit 3
4th Grade
Lesson 11 of 16
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Apply the formulas for area and perimeter in real-world and mathematical problems involving all four operations.
The core standards covered in this lesson
4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
4.OA.A.3 — Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
The foundational standards covered in this lesson
3.MD.C.5 — Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.C.6 — Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
3.MD.C.7 — Relate area to the operations of multiplication and addition.
3.MD.D.8 — Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
3.OA.D.8 — Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
Edris wants to build a rectangular garden in his backyard to grow vegetables. He buys 60 yards of fencing to put around the garden to keep animals out. He wants the garden to be 12 feet long. What should the width of his garden be so that he uses all of the fencing he bought?
Now Edris wants to retile the rectangular patio in his backyard. He uses 128 tiles that are each one square foot. His patio is 8 feet wide. He wants to edge the patio with metal tape to make sure the tiles don’t move or shift at all. How many feet of metal tape should Edris buy?
Problem Set
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
A bulletin board in the hallway has a perimeter of 36 feet and a height of 3 feet. What is the area of the bulletin board?
An example response to the Target Task at the level of detail expected of the students.
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
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Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Lesson 10
Lesson 12
Topic A: Understanding and Interpreting Remainders
Solve division word problems with remainders.
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
4.MD.A.3 4.OA.A.3
Solve two-step word problems involving all four operations, including those involving interpreting the remainder.
4.NBT.B.6 4.OA.A.3
Solve multi-step word problems involving all four operations.
4.MD.A.3 4.NBT.B.6 4.OA.A.3
Identify and extend growing number patterns.
4.OA.C.5
Identify and extend growing shape patterns.
Identify and extend repeating shape patterns.
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