(Mar.10 – Mar. 14 ) Middle School Math: Hoy and McRoy
Monday 10 / Tuesday 11 / Wednesday 12 / Thursday 13 / Friday 14: Pi DayAssignment:
Independent Practice:
Scale Factors and Drawing Homework Packet Page #1 / Assignment:
Independent Practice:
Scale Factors and Drawing Homework Packet Page #2 / Assignment:
Independent Practice:
Scale Factors and Drawing Homework Packet Page #3 / Assignment:
Independent Practice:
Scale Factors and Drawing Homework Packet Page #4 / Assignment:
Independent Practice:
Scale Factors and Drawing Homework Packet Page #4
Lesson Topic:
Scale Factors
Unit Content Objective:
Students will be able to draw, construct, and describe real-life geometrical figures and describe the relationship between them.
Unit Learning Targets
See Unit 7 unit by design lesson plans.
Language Objectives:
Students will…
Write/ Read:
· Take notes.
· Model how to scale a picture.
Speak/Listen:
· Not Applicable
Vocabulary:
Scale
Scale Map
Scale Drawing
Supplemental Materials:
· Projector
· Math Notebook
· Rulers
· Rubber Bands 3” to 3.5” that are 1/16 or 1/8 in width.
· Scale Homework Packet / Lesson Topic:
Scale Drawings
Unit Content Objective:
Students will be able to draw, construct, and describe real-life geometrical figures and describe the relationship between them.
Unit Learning Targets
See Unit 7 unit by design lesson plans.
Language Objectives
Students will…
Write/ Read:
· Take notes.
Speak/Listen:
· Estimate the size of an enlarged photo.
Vocabulary:
Enlargement
Supplemental Materials:
· Projector
· Math Notebook
· Rubber Band Scale Progress Check
· 1” Square Transparences
Classroom Set of Calvin and Hobbs comics sectioned into 1” squares / Lesson Topic:
Scale Drawings
Unit Content Objective:
Students will be able to draw, construct, and describe real-life geometrical figures and describe the relationship between them.
Unit Learning Targets
See Unit 7 unit by design lesson plans.
Language Objectives:
Students will…
Write/ Read:
· Take notes.
Speak/Listen:
· Talk about how units affect scale.
Vocabulary:
No New Vocabulary
Supplemental Materials:
· Projector
· Math Notebook
· Butcher Paper to Mount Comics
· Scale Progress Check / Lesson Topic:
Compute Actual Lengths and Areas from Scale Drawings
Unit Content Objective:
Students will be able to draw, construct, and describe real-life geometrical figures and describe the relationship between them.
Unit Learning Targets
See Unit 7 unit by design lesson plans.
Language Objectives:
Students will…
Write/ Read:
· Take notes.
Speak/Listen:
· Provided real life examples that use scale.
Vocabulary:
Diameter
Pi
Radius
Supplemental Materials:
· Projector
· Math Notebook
· Map Scale Progress Check / Lesson Topic:
Pi Day
Unit Content Objective:
Students will be able to draw, construct, and describe real-life geometrical figures and describe the relationship between them.
Unit Learning Targets
See Unit 7 unit by design lesson plans.
Language Objectives:
Students will…
Write/ Read:
· Read a brief history of the constant Pi.
Speak/Listen:
· Talk about why Pi is not a rational number.
Vocabulary:
Digit
Supplemental Materials:
· Projector
· 1.5 in. Strips of paper in various colors
· Many Different Sized Cylinders
· The first 5000 digits of pi
· Pie
Bell Ringer:
Building Background:
Review the meaning of the vocabulary through discussion.
Comprehensible Input:
Students will learn and know that scale is the ratio that compares a length in a drawing or model; to the corresponding length in the actual object. Students will understand that a map’s and a scale drawing’s corresponding parts and figures are proportional as long as the corresponding parts are corresponding in terms of the proportion.
Practice & Application:
· See Assignment
· Partner Practice:
Students will work with their assigned partner to draw a scale drawing using a picture and rubber bands. Students will be able to use their background knowledge of proportions to deduct some basic information about scale.
Learning Strategies:
(Cognitive) Ask higher level questions with sufficient wait time.
(Social /Affective) Students will work with a partner. / Bell Ringer:
Building Background:
Review the meaning of the vocabulary through discussion.
Comprehensible Input:
Students will know and learn though investigation how to determine the scale factor used when a drawing is being enlarged.
Practice & Application:
· See Assignment
· Whole Group: Students will enlarge a Calvin and Hobbs comic strip. Each student will be given a square inch that they will be personally responsible to enlarge. Students will enlarge their square inch to six square inches.
Learning Strategies:
(Cognitive) Ask higher level questions with sufficient wait time.
(Social /Affective) Students will work with a partner. / Bell Ringer:
Building Background:
Review the meaning of the vocabulary through discussion.
Comprehensible Input:
Students will learn and know how to use scale to find the actual distances on a map.
Practice & Application:
· See assignment.
· Whole Group: Students will have enlarged a Calvin and Hobbs comic strip. Students will mount their enlarged six square inches with all of the other students on huge piece of butcher paper. Once finished this picture will be posted in the hall. Afterwards students will be able to answer a few questions about the project and be able to determine the scale that was used to enlarge the photo.
Learning Strategies:
(Cognitive) Ask higher level questions with sufficient wait time.
(Social /Affective) Students will work with a partner.
/ Bell Ringer:
Building Background:
Review the meaning of the vocabulary through discussion.
Comprehensible Input:
Through clear speech and body language students will review for the unit 6 assessment.
Practice & Application:
· See Assignment
· Students will know and learn how to use scale to fins the actual lengths in a blueprint of a house.
Learning Strategies:
(Cognitive) Ask higher level questions with sufficient wait time. / Bell Ringer:
Building Background:
Review the meaning of the vocabulary through discussion.
Comprehensible Input:
Students will learn and know the history of Pi and its importance in mathematics. Students will learn and know how to derived pi from the circumference of a circle.
Practice & Application:
· See Assignment
· Students will work independently. Each student will wrap a strip of paper around a cylinder they brought to class. Students will then have the circumference of the circle. Using their algebraic skills they will isolate pi in the circumference formula. Students will record their Pi constant in an excel spreadsheet to be used at a later date Once finished students will connect their strip of paper with other students strip to make a chain. Each link in the chain will have a different digit of Pi written on it. Afterwards the chains from Ms. Lemus’s and Ms. Hammond’s classes will be connected and hung in the hallway.
Learning Strategies:
(Cognitive) Ask higher level questions with sufficient wait time.
(Social /Affective) Students will work with a partner.
Closure:
Personal Communication
How does the number of rubber bands change the size of the picture?
Assessment:
Formative Assessment
Students will take a 3-5 question progress check on scale and rubber bands the next class period. / Closure:
Personal Communication
Predict how big the entire class’s enlarged picture will be.
Assessment:
Formative Assessment
Students will take a 3-5 question progress check on scale the next class period. / Closure:
Personal Communication
How is scale used in maps?
Assessment:
Formative Assessment
Students will take a 3-5 question progress check on maps and scale the next class period. / Closure:
Personal Communication
If you were designing a house what units would your house be measured in and what units would you blueprint be in?
Assessment:
Interim Assessment
Not Applicable / Closure:
Personal Communication
What year was Pi first used in the history of math?
Assessment:
Interim Assessment
Students will take a 3-5 question progress check on word problems involving scale the next class period.