Differentiating Content, Delivery and Assessment

Content Standard: 

CCSS.MATH.CONTENT.5.G.B.3Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
CCSS.MATH.CONTENT.6.G.A.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Lesson Goal: 
Students, by the end of the lesson, will be able to determine the Area of a square or rectangle demonstrating understanding of the definition and use of square units.

Engaging/Activating Activity: Students watch a Prezi presentation on Area & Perimeter 

https://prezi.com/8jp2fch6nmmq/real-world-perimeter-and-area-of-rectangles/

Differentiated Lesson Strategy I: Graduated Difficulty Activity

• Level I: Students demonstrate Depth of knowledge 1 and 2, demonstrate basic skills & knowledge, and proficiency of concept/skill.
• Level 1A: Using a ruler and graph paper students are to draw rectangles or squares specified in the provided descriptions, i.e. Draw a square 7 units long and 4 units wide. Students then find the Area of drawn rectangles or squares by counting the squares inside figures. Sizes will vary. Students will then define in their own words their learning process, describes steps taken to find the Area, then construct their informal definition of Area. 
• Level 1B: Students are given varied size squares and rectangles with square units provided inside the figures. Students need to identify the length and width of each figure and determine the Area of each figure, describes steps taken to find the Area, then construct their informal definition of Area. 
• Level II: Students demonstrate Depth of knowledge 3, apply their knowledge understanding of concept as they show mastery of Level 1 and extend strategic thinking. 
• Level 2A: Students are provided rectangular and square figures with minimum square units provided along the length and width inside figure; students are to problem-solve the Area of figures. Students must plan out their steps using the Graphic organizer, describing steps taken to find the Area, then construct their informal definition of Area. 
• Level 2B: Students are provided varied shaped composite squares and rectangles with specified dimensions identified. Students must use critical thinking and problem-solving skills to determine the Area of given composite figures. Students must plan out their steps using the Graphic organizer, describing steps taken to find the Area, then construct their informal definition of Area. 
• Level III: Students demonstrate Depth of knowledge 4, demonstrate and explain math reasoning within or beyond context of concept/skill; making connections with real-world or personal experiences. 
• Level 3A: Students are provided with illustrations of rectangles and squares which are connected in some manner. Dimensions are provided on various line segments of the figures. Students need to determine Area of of the shaded portion, then students must plan out their steps using the Graphic organizer, describing steps taken to find the Area, then construct their informal definition of Area. 
• Level 3B: Students are provided real-world word problems. Draw necessary diagrams to support their reasoning. Students must plan out their steps using the Graphic organizer, describing steps taken to find the Area, then construct their informal definition of Area.  

Differentiation Lesson Strategy II:

• Front-Load Vocabulary with all students: Use of Frayer model flash cards and/or coupled with a word search (read definition, then find vocabulary term)
• Provide Graphic Organizer for all Levels: Math Notes planner; helps students to identify important and necessary key ideas and highlights appropriate steps in problem-solving

Exit Ticket Assessment: Students are provide a three tiered worksheet. Students have the option to complete the level for which they believe is closely related to the types of problems they practiced during class time and/or complete any other level to assess their performance.