HSG-MG.A.3

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- HSG-MG.A.1Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
- HSG-MG.A.2Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).*
- HSG-MG.A.3Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*

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## HSG-MG.A.3

## Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*

12 Lesson(s)

### Border Tiles: Seeing Structure in Algebraic Expressions

Algebra I »
Unit: Multiple Representations: Situations, Tables, Graphs, and Equations

Algebra I »
Unit: Multiple Representations: Situations, Tables, Graphs, and Equations

Big Idea:

#### Don't count! Students find different approaches for counting tiles around a garden and then write rules that represent their methods.

Standards:

Favorites
(6)

Resources
(22)

Reflections
(3)

### Maximizing Volume - Day 1 of 2

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### A classic maximization problem is used to investigate relative extrema.

Standards:

Favorites
(4)

Resources
(12)

Reflections
(1)

### Constructing Viable Arguments

Geometry »
Unit: Preparing for the Geometry Course

Geometry »
Unit: Preparing for the Geometry Course

Big Idea:

#### In this lesson, students will engage with Mathematical Practice 3 by investigating how to best arrange trapezoidal desks in a classroom.

Standards:

Favorites
(5)

Resources
(18)

Reflections
(2)

Big Idea:

#### Students will complete a problem set of challenging application and proof based circle problems.

Standards:

Favorites
(2)

Resources
(13)

Reflections
(2)

### Geometric Modeling: Alice's Adventures in Wonderland, Day 1

Geometry »
Unit: Geometric Modeling

Geometry »
Unit: Geometric Modeling

Big Idea:

#### Students solve problems involving measurement based on information from the book Alice's Adventures in Wonderland by Lewis Carroll.

Standards:

Favorites
(6)

Resources
(13)

### Maximizing Volume - Day 2 of 2

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### A classic maximization problem is used to investigate relative extrema.

Standards:

Favorites
(2)

Resources
(8)

### Arabic Surveying Project

Geometry »
Unit: Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Big Idea:

#### Students will delve into the past, and use similar triangles just like ancient Arabs did to find the height and distance of real-world objects.

Standards:

Resources
(10)

### Is John Guilty

12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions

12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions

Big Idea:

#### By analyzing data from an accident students will determine whether a driver was speeding when he wrecked his vehicle.

Standards:

Resources
(19)

Reflections
(2)

Big Idea:

#### Students will work in groups to solve verbal problems involving the volume of solids. They will present their solutions to the class.

Standards:

Resources
(14)

### Geometric Modeling: Alice's Adventures in Wonderland, Day 2

Geometry »
Unit: Geometric Modeling

Geometry »
Unit: Geometric Modeling

Big Idea:

#### Students solve problems involving measurement based on information from the book Alice's Adventures in Wonderland by Lewis Carroll. This is the first day of a two-day lesson.

Standards:

Favorites
(1)

Resources
(15)

### End of Year Assessment Review Day 4 of 4

Geometry »
Unit: Final Assessment

Geometry »
Unit: Final Assessment

Big Idea:

#### In this lesson, students practice questions involving concepts from the units on circles, the third dimension, and modeling.

Standards:

Favorites
(1)

Resources
(9)

### Geometric Modeling: Alice's Adventures in Wonderland, Day 3

Geometry »
Unit: Geometric Modeling

Geometry »
Unit: Geometric Modeling

Big Idea:

#### Students solve problems involving measurement based on information from the book Alice's Adventures in Wonderland by Lewis Carroll. This is the second day of a two-day lesson.

Standards:

Favorites
(2)

Resources
(21)

Reflections
(1)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School