Area: Whole, Parts, and Shapes
Students will be able to define area in terms of fractions of a whole.
- Show an image of a circle divided into four equal parts. Ask your students what they see.
- Take notes of student responses for the whole class to see. Circle terms that refer to a fraction (part, of) or the whole (the entire shape).
- Ask your class probing questions to tease out answers that prompt fraction terms, if necessary.
Explicit Instruction/Teacher Modeling(5 minutes)
- Point out how shaded and unshaded parts of the circle are a fraction, or parts, of the whole. Write them in fraction number form. For example, each part is equal to 1/4.
Guided Practice/Interactive Modeling(5 minutes)
- Hand out and preview the Area: Parts of a Whole in Shapes worksheet directions.
- Complete the first few exercises as a class and answer any clarifying questions.
Independent Working Time(15 minutes)
- Students will finish the remaining questions independently, in pairs or small groups.
- Early finishers should cross-reference their work with one another.
- To scaffold, label one or all internal shapes with fraction forms for each problem on the Area: Parts of a Whole in Shapes worksheet.
- Have students generate new challenge problems with a tessellation (see suggested media).
- Have a student retell an exercise from the Area: Parts of a Whole in Shapes activity, in their own words. Ask them to describe what steps they plan to take. Clarify misunderstandings with probing questions.
Review and Closing(10 minutes)
- Draw connections to examples in this lesson. Make sure to re-evaluate the essential question, "Why must a square be a standard unit of measure?"
- Ask students to turn and tell a neighbor one new thing they learned in the lesson.