Grade 3 Unit 13 - Anne Arundel County Public Schools€¦ · Web view3.MD.C.7a/7b Find the area...
3
In this unit students will use strategies to multiply whole numbers within 100. Specifically, students will focus on the associative property and explore how and why it works. The associated (grouping) property of multiplication states that the way in which three or more factors are grouped prior to multiplying does not affect the product. The associative property is used to break apart one factor to make a simpler problem that can then be regrouped to solve. They apply this multiplication property and strategy to solve area problems. Anne Arundel County Public Schools | Department of Academics & Strategic Initiatives Grade 3 Theme 1 Unit 2 Unit 12: Solving problems involving area Third Grade Curriculum 6/1/2022 Theme 4 | Unit 13 | Mathematics Page 1 of 3 Grade 3 Unit 13 Theme 4: Creativity 7 Exploratory Questions Students do not need to know the name of the property, but rather understand the process of why it works. Distributive property and associative property are two ways to break apart numbers to multiply. Area is solved by multiplying the lengths. It IS appropriate to talk about parenthesis with students, but is not a requirement for them to use when solving. When finding area, a two digit number can be used as a length of a side. For example 12 x 3, students may see this as 6 x 2 x 3, which is within Grade 3 standards. Using the associatative property they can regroup (6x2)x3 to 6 x (2x3) which is 6x6. Common Misconceptions Lesson Sequence Use the properties of multiplication to solve equations. Use multiplication to solve measurement problems (area). 3.MD.C.7c Use tiling to show in a concrete case that the area of a recatngle with whole- number side lengths a and b+c is the sum of axb and axc. Use area models to represent the distributive property in mathematical reasoning. 3.OA.B.5 Apply properties of operations as strategies to multiply and divide. 3.MD.C.7a/7b Find the area of a rectangle with whole- number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and representing whole-number products as rectangular areas in matheamctial reasoning.
Transcript of Grade 3 Unit 13 - Anne Arundel County Public Schools€¦ · Web view3.MD.C.7a/7b Find the area...
In this unit students will use strategies to multiply whole numbers within 100. Specifically, students will focus on the associative property and explore how and why it works. The associated (grouping) property of multiplication states that the way in which three or more factors are grouped prior to multiplying does not affect the product. The associative property is used to break apart one factor to make a simpler problem that can then be regrouped to solve. They apply this multiplication property and strategy to solve area problems.
Anne Arundel County Public Schools | Department of Academics & Strategic Initiatives Grade 3 Theme 1 Unit 2
Unit 12: Solving problems involving area
Third Grade Curriculum 5/24/2023 Theme 4 | Unit 13 | Mathematics Page 1 of 2
Grade 3 Unit 13Theme 4: Creativity 7 Exploratory Questions
Students do not need to know the name of the property, but rather understand the process of why it works.
Distributive property and associative property are two ways to break apart numbers to multiply.
Area is solved by multiplying the lengths. It IS appropriate to talk about parenthesis with students,
but is not a requirement for them to use when solving. When finding area, a two digit number can be used as a
length of a side. For example 12 x 3, students may see this as 6 x 2 x 3, which is within Grade 3 standards. Using the associatative property they can regroup (6x2)x3 to 6 x (2x3) which is 6x6.
Common Misconceptions
Lesson Sequence
Use the properties of multiplication to solve equations.
Q1: Conceptual-I can use model the associative property of multiplication using color tiles to show grouping and regrouping of factors. Q2: Fluency Practice-I can model the associative property of multiplication using color tiles to show grouping and regrouping of factors. Q3: Fluency Practice-I can model the associative property of multiplication using the formula for area.
Use multiplication to solve measurement problems (area).
Q4: Conceptual- I can determine the missing length of a rectangle using color tiles and a missing factor multiplication equation. Q5: Fluency Practice-I can determine the missing length of a rectangle using color tiles and a missing factor multiplication equation. Q6: Application-I can determine areas of rectangles by multiplying side lengths. Q7: Application-I can determine areas of rectangles by multiplying side lengths.
Purpose of the lesson sequence: Students will begin the unit discussing the properties of multiplication. Commutative and Distributive properties have been covered in previous units. The purpose of the first few lessons is to focus on the associative property and how two factors can be broken down to three factors. Similar to what students have learned to Grade 1, these factors can be multiplied in any order to determine the product. This skill is applied to solving for area. Students have prior knowledge of using distributive property to solve for area, and now they will further their understanding
3.MD.C.7c
Use tiling to show in a concrete case that the area of a recatngle with whole-number side lengths a and b+c is the sum of axb and axc. Use area
models to represent the distributive property in
mathematical reasoning.
3.OA.B.5Apply properties of
operations as strategies to multiply and divide.
3.MD.C.7a/7bFind the area of a rectangle with whole-number
side lengths by tiling it, and show that the area is the same as would be found by multiplying the side
lengths. Multiply side lengths to find areas of rectangles
with whole-number side lengths in the context of solving real world and mathematical problems, and
representing whole-number products as rectangular areas in matheamctial reasoning.
Anne Arundel County Public Schools | Department of Academics & Strategic Initiatives
Strategies your students will encounter.
Third Grade Curriculum 5/24/2023 Theme 4 | Unit 12 | Mathematics Page 2 of 2
Properties of Multiplication.
Associative Property
Apply Associated Property to finding Area
Identifying the difference between distributative property and associative
property.
