Intentional Thinking Map for PLC Planning (Questions 1 & 2) Title of Unit: Geometry: Area and Circumference Standard(s) being addressed? MACC.7.G.2.4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. Circle the Verbs and underline the key concepts (important nouns and noun phrases). PLC question #1: What do we expect all students to learn? à PLC question #2: How will we know if and when they have learned it? Know Declarative knowledge: Facts, vocabulary, information Key Vocabulary: area, area of circle, informal derivation, diameter, radius, and pi(π). • Know the formulas for finding area and circumference of a circle • Know that the answer can be left in terms of π. Understand “Essential understandings,” or generalizations, and represent ideas that are transferable to other contexts. • The relationship between the circumference and area of a circle. • How to apply/compute using the formulas for circumference and area of a circle. Do Procedural knowledge: Skills, strategies and processes that are transferrable to other contexts. Level 1 (Retrieval) • Know the formulas for the area and circumference of a circle Level 2 (Comprehension) • Use formulas to solve for the area and circumference of a circle. Level 3 (Analysis) • Give an informal derivation of the relationship between the circumference and area of a circle. Level 4 (Knowledge Utilization) Prerequisite skills: What prior knowledge (skills from previous grade levels) do students need to have mastered to be successful with this standard(s)? Know that 22/7 or 3.14 can be substituted for π, units/square units Learning Goal(s)/Objective(s): (Based on standards above) DSBPC-­‐OTL Intentional Thinking Map for PLC Planning (Questions 1 & 2) Standard MACC.7.G.2.4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. Sample Task(s) Aligned to the Cognitive Complexity Score Learning Progression of the Learning Progression (Ways to check for Understanding) • The area of a circle is 78.5 cm2. What is the I can… circumference of this circle? 4.0 • Given the area of a circle, I can find the circumference of the circle. •
Given the circumference of a circle, I can find the area of the circle. 3.5 I can do everything at a 3.0, and I can demonstrate partial success at score 4.0. 3.0 Target (Standard) I can… • Know the formulas for the area and circumference of a circle. • Use formulas to solve for the area and circumference of a circle. • Give an informal derivation of the relationship between the circumference and area of a circle. 2.5 I can do everything at a 2.0, and I can demonstrate partial success at score 3.0. 2.0 I can… • Identify the formulas for finding area and circumference of a circle. • Recall/define key vocabulary: area, area of circle, informal derivation, diameter, radius, and pi(π). 1.5 1.0 I can do some things at a 2.0 with some success I need prompting and/or support to complete 2.0 tasks. Given a circle with a radius of 3 m, calculate the area and circumference of the circle in terms of π. Explain how the circumference and area are related. •
Which of the following is the correct formula for area of a circle? a) A= 2πr b) A= π d2 c) A= πr d) A= πr2 DSBPC-­‐OTL