Wednesday, April 5, 2017

Math Lesson

Candidate’s Name: Nechama Lipschutz
Grade Level: 3
Title of the lesson: Finding the Area of a Rectangle
Length of the lesson: 45 minutes

Central focus of the lesson (The central focus should align with the CCSS standards and support students to develop an essential mathematical understanding that will connect the mathematical practices with the content.)

Students should be able to find the area of a rectangle.
Students will use multiplication to determine the answer.
Knowledge of students to inform teaching (prior knowledge/prerequisite skills and personal/cultural/community assets)

Determine the area of a rectangle based on multiplication which they have previously mastered.
Common Core State Standards (List the number and text of the standard. If only a portion of a standard is being addressed, then only list the relevant part[s].)
CCSS.MATH.CONTENT.3.G.A.2
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
CCSS.MATH.CONTENT.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.


Mathematical Practice Standards

 CCSS.MATH.PRACTICE.MP7 Look for and make use of structure.

CCSS.MATH.PRACTICE.MP6 Attend to precision.


Learning objectives

Sample:

1.       Students will understand the concept of area
2.       Students will know how to measure the area of a rectangle.
3.       Students will use multiplication to measure the area of a rectangle.
Formal and informal assessment (including type[s] of assessment and what is being assessed)
Students each receive graph paper and calculate the area using either the method of counting squares or multiplication.

Instructional strategies and learning tasks (including what you and the students will be doing) that support diverse student needs. Your design should be based on the following:
        understanding of students’ prior academic learning and personal/cultural/community assets
        research and/or theory
        developmental appropriateness
Consider all students, including students with IEPs, ELLs, struggling readers, and/or gifted students
Worksheets, manipulatives, graph rectangles
Theory/Research: Students can find area by adding the squares. This will aid them in understanding how multiplication is the method we use to find area of a rectangle. Students can use kinesthetic material- blocks to support their learning.
Accommodations and modifications:  manipulatives, graph paper, additional support and proofs using blocks.

Instructional resources and materials used to engage students in learning.
Project a graph paper on the Smartboard, students can create rectangles using the lines and demonstrate/ practice this skill.
Reflection: Did your instruction support learning for the whole class and the students who need great support or challenge?
        What changes would you make to support better student learning of the central focus?
I think that the kinesthetic material incorporated in the lesson was helpful in supporting better student learning.
        Why do you think these changes would improve student learning? Support your explanation from evidence of research and/or theory. Students were able to manipulate the blocks and envision the concept, helping both kinesthetic and visual learners.


Re-engaging students in learning mathematics
        Identify a targeted learning objective/goal based on the analysis of student work samples.
Students will recognize that a rectangle is made up of square units so the area inside can be found by counting the squares or multiplying one side by the other.
        Design a re-engagement lesson based on the targeted learning objective/goal.
Teacher creates a worksheet with 3 pages:
1: Rectangles with their measurements. Students need to put in the correct amount of squares.
2: The same rectangles with the squares already drawn inside. Students together count the squares and notice that the number is the measurement of that side.
3: The same rectangles with the measurements, students multiply the two sides and come out with the area of the rectangle.
4: Different examples where students are instructed to multiply to determine the area of the rectangle.
        Teach the re-engagement lesson. The lesson may be planned for one-on-one, small group, or whole class implementation. one-on-one
        Collect and submit 3 examples of student work from the same students from the re-engagement lesson that provide evidence of student mathematical understanding (e.g., formative assessment or exit ticket.)
        Analyze the effectiveness of the re-engagement lesson and consider its impact on student learning.
 The visual learning tools enhance the learning for those who have trouble grasping the abstract concept. Additionally, the hands on worksheets which built up the math lesson step by step gave the student clarity and practice on the subject.




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