| Ohio Aspire Professional Development Network
|Program|[Lesson Title] |TEACHER NAME |PROGRAM NAME |
|Informa| | | |
|tion |Find the Circumference of a Circle When Area is Given |Julie Thumann |Cincinnati Public Schools |
| |[Unit Title] |NRS EFL(s) |TIME FRAME |
| | | | |
| |Geometry |4 – 6 |75 minutes |
|Instruc|OBR ABE/ASE Standards – Mathematics |
|tion | |
| |Numbers (N) |Algebra (A) |Geometry (G) |Data (D) |
| |Numbers and Operation |
| |( |Make sense of problems and persevere in solving them. (MP.1) |( |Use appropriate tools strategically. (MP5) |
| |( |Reason abstractly and quantitatively. (MP.2) |( |Attend to precision. (MP.6) |
| |X |Construct viable arguments and critique the reasoning of others. (MP.3) |X |Look for and make use of structure. (MP.7) |
| |( |Model with mathematics. (MP.4) |X |Look for and express regularity in repeated reasoning. (MP.8) |
| |LEARNER OUTCOME(S) |ASSESSMENT TOOLS/METHODS |
| | | |
| |Students will be able to solve for Circumference when the Area is given. |Notecards |
| |Determine the radius and diameter when the Area or Circumference are given. |Worksheets |
| |Compute the Circumference and Area of a Circle. |Common Core Achieve Book |
| | |Clickers |
| |LEARNER PRIOR KNOWLEDGE |
| | |
| |Understanding operations with decimals, the meaning of exponents, solving for circumference and area of a circle, and limited calculator proficiency. |
| |INSTRUCTIONAL ACTIVITIES |RESOURCES |
| | | |
| |“Warm-up” activity called “My Favorite No” – Students learn from mistakes. |Index cards/scrap paper |
| |Pass out index cards or small squares of paper for students to record their answers on, but remind | |
| |them to not write their names. We want them to be anonymous. Students should take out their |Mathematics Formula Sheet & Explanation [PDF file]. (2014). Retrieved from |
| |Mathematics Formula Sheet & Explanation and use calculators. | |
| |Draw one circle on the board w/ a radius of 2.5 meters. Students are to solve for the circumference | |
| |and area of a circle. |Calculators |
| |Students then work out the problem on the notecards (show all work) and provide their answers. | |
| |Teacher collects cards and makes two piles – “Yes” and “No” (make a note of who has the correct |Laptop (optional) |
| |answers as you collect the cards because you can then pair them with a student for additional help).| |
| |Review the “No” pile and chose a couple to review. Look for notecards w/ the similar mistakes to |Projector (optional) |
| |review. | |
| | |Whiteboard/Blackboard |
| |Begin Whole/Small Group Instruction – Using Explicit Instruction Teaching Strategy | |
| |Ask students to pull out their notebooks or pass out paper for students to take notes. |Cummings, S. (n.d.). Find the circumference of a circle by using the area. Retrieved |
| |Discuss with students how the ability to solve for circumference and area are necessary for today’s |from |
| |outcomes: “Find the circumference of a circle by using the area.” Students should write this |Copyright LearnZillion, Inc. All Rights Reserved |
| |learning target on their papers. The formula for circumference of a circle is related to the formula| |
| |for the area of a circle. In addition, the circumference and radius can be used to calculate the |Common core achieve: Mastering essential test readiness skills (Mathematics). (2015). |
| |area and vice versa. |Columbus, OH: McGraw-Hill Education. |
| |Write the following words on the board: exponents, radius, diameter, circumference, area, and pi. | |
| |Ask students to provide all the information they know and record answers on the board. | |
| |Modeling/“I do”: | |
| |Project slide 7/22 from Find the Circumference of a Circle by Using the Area | |
| |Using a talk aloud, model to students how you solve the problem. | |
| |Guided Practice/“We do”: | |
| |Project slide 8/22 from Find the Circumference of a Circle by Using the Area | |
| |Have students work with you to solve the problem. | |
| |Application/“You do”: | |
| |Project slide 18/22 from Find the Circumference of a Circle by Using the Area and have students | |
| |solve the problems. | |
| | | |
| |Before class is over (last 5 min.) – summarize what was learned and discuss the action steps in | |
| |solving for Circumference when Area is given. | |
| |Use the area to find the circumference. | |
| |Use the area formula to find the radius. | |
| |Use the radius to find the circumference. | |
| | | |
| |Have student read pgs. 228 – 231 in Common Core Achieve: Building Essential Test Readiness Skills: | |
| |Mathematics and complete pgs. 232 – 233. | |
| |Review answers in class using a student response system (e.g., clickers, white board review, or | |
| |colored index cards on a ring) to check for 80% accuracy. | |
| |Collect if needed to record your data and then return to students. | |
| |DIFFERENTIATION |
| | |
| |Students can work in assigned pairs – “Think-Pair-Share” Strategy. |
| |Teacher will offer extra help to individuals or small group w/ additional word problems. |
|Reflect|TEACHER REFLECTION/LESSON EVALUATION |
|ion | |
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| |Additional Information |
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