During Reading (Geometry)
Subject: Mathematics Grade Level: 8th Grade
Unit Plan: Geometry Day/Periods: Week 5 - Day 3
Topic: During Reading & Volume of three-dimensional figures
Content Standards:
9. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
10. Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Literacy Standards:
4. Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience.
10. Write routinely over extended time frames (time for research, reflection, and revision) and shorter time frames (a single sitting or a day or two) for a range of tasks, purposes, and audiences.
Reading Standards
2. Determine central ideas or themes of a text and analyze their development; summarize the key supporting details and ideas.
4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze how specific word choices shape meaning or tone.
10. Read and comprehend complex literary and informational texts independently and proficiently.
Unit Plan: Geometry Day/Periods: Week 5 - Day 3
Topic: During Reading & Volume of three-dimensional figures
Content Standards:
9. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
10. Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Literacy Standards:
4. Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience.
10. Write routinely over extended time frames (time for research, reflection, and revision) and shorter time frames (a single sitting or a day or two) for a range of tasks, purposes, and audiences.
Reading Standards
2. Determine central ideas or themes of a text and analyze their development; summarize the key supporting details and ideas.
4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze how specific word choices shape meaning or tone.
10. Read and comprehend complex literary and informational texts independently and proficiently.
Learning Experience
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Learning Experience Assessment
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Approaching- Keep the shapes on the board. Pair and approaching student with a beyond student for paired questioning.
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The class desk will be set up in tables.
Written on the chalkboard or the SMART board. |
DO NOW
Admit Slip: Hand in the 3rd question from yesterdays work sheet. Remember it is just a pre-planing graphic and the formula set up. Problem 3 The sphere floating in the pool has a diameter of two feet. Find the volume of this object. FOCUS QUESTION How are we going to go about and complete the problems from yesterdays work sheet? DIRECT INSTRUCTION Go over the three different volumes. Stress the fact that these formulas have to be memorized. Answer any questions about volume. GUIDED INSTRUCTION ( main part of lesson) The students will work in pairs (assigned by me based on strength). Using the pre-plan graphics from yesterday go over each problem together. Making sure that they have identified the right volume and used the radius and not the diameter. They will do the problem separately than check together making sure they have the same answer. To get the answer the students may use their calculators. The students will again visualize what they are finding by drawing a Photograph of the Mind.
CLOSURE I will go over the problems and answer any specific questions. Also the students are going to do an extra credit problem. This problem will be a little more challenging than the previous. (problem below) The students will work together to -Create a pre-plan graphic. -A photo of the mind. -Ask each other questions. But each student needs to show their own work INDEPENDENT PRACTICE The homework will be finish the challenge problem. Will be tomorrows DO NOW. |
Student Example
Problem 3
The sphere floating in the pool has a diameter of two feet. Find the volume of this object.
Cue Idea: Volume Word Problems
(Students will do the chart by themselves)
The sphere floating in the pool has a diameter of two feet. Find the volume of this object.
Cue Idea: Volume Word Problems
(Students will do the chart by themselves)
( The student will now check to make sure they have the same information)
Finish the Problem: ( They will do the problem separately than check to see if they have the same answer and work as their partner)
V = (4/3) × π × (r^3)
= (4/3) * (3.14) * (1)^3
= 2.36 in^3
Photograph of the Mind (Must be labeled)
Finish the Problem: ( They will do the problem separately than check to see if they have the same answer and work as their partner)
V = (4/3) × π × (r^3)
= (4/3) * (3.14) * (1)^3
= 2.36 in^3
Photograph of the Mind (Must be labeled)
Word Problems for Volume
Problem 1
In a conical tank, the depth and radius of the water level is 1.2 yards and 0.5 yards respectively. Find the volume of water to the nearest two decimal places. (Allow π = 3.14)
Problem 2
The radius of a cylinder is 6 inches and the height is 13 inches. Find the exact volume of the cylinder.
Problem 3
The sphere floating in the pool has a diameter of two feet. Find the volume of this object.
Problem 4
Find the volume of a cylinder who has a radius of 1.2 yards and has a height of 3.4 yards to the nearest two decimal places.
(Allow π = 3.14)
Problem 5
You have an ice cream cone with radius of .5inches and has a height of 4 inches. Find the volume of your ice cream cone.
Challenge Problem: Figure out the riddle and the volume.
Needed an object that is round and with a point. This is an object that that needs to be able to hold a good amount of a certain treat. The top of this object is four centimeters long on the top and from top to point it come to twelve centimeters. Can you guess the object? What do you think the treat is? Do you think you can find the volume?
In a conical tank, the depth and radius of the water level is 1.2 yards and 0.5 yards respectively. Find the volume of water to the nearest two decimal places. (Allow π = 3.14)
Problem 2
The radius of a cylinder is 6 inches and the height is 13 inches. Find the exact volume of the cylinder.
Problem 3
The sphere floating in the pool has a diameter of two feet. Find the volume of this object.
Problem 4
Find the volume of a cylinder who has a radius of 1.2 yards and has a height of 3.4 yards to the nearest two decimal places.
(Allow π = 3.14)
Problem 5
You have an ice cream cone with radius of .5inches and has a height of 4 inches. Find the volume of your ice cream cone.
Challenge Problem: Figure out the riddle and the volume.
Needed an object that is round and with a point. This is an object that that needs to be able to hold a good amount of a certain treat. The top of this object is four centimeters long on the top and from top to point it come to twelve centimeters. Can you guess the object? What do you think the treat is? Do you think you can find the volume?