To compare and find the areas and volumes of similar solids. Students will analyze the relationship between the scale factor, surface area, and volume.

Slides:

Advertisements

Similar presentations

8-4 Angles of Elevation and Depression

Advertisements

12-5 Circles in the Coordinate Plane

Chapter 10 Review Game. Lessons 10-6 Solid Figures 1, 2, 3, 4, 5, Surface Area 1, 2, 3, 4, 5, Finding Volume 1, 2, 3, 4, 5,

Solids – Volume and Area We will be using primarily 4 solid objects in this lesson. Right Circular Cylinder Right Circular Cone r h r h s.

Surface Areas of Prisms and Cylinders To find the surface area of a prism and a cylinder. Students will define, explicitly use, and solve for the terms.

10-5 Trigonometry and Area

10-5 Volumes of Prisms and Cylinders To find the volume of a prism and the volume of a cylinder. In solving for volume of prisms and cylinders, students.

11-7 Areas and Volumes of Similar Solids. Problem 1: Identifying Similar Solids Are the two rectangular prisms similar? If so what is the scale factor.

10-3 Areas of Regular Polygons To find the area of a regular polygon In finding the area of a regular polygon, students will find a polygon of n sides.

4-7 U SING C ORRESPONDING P ARTS OF C ONGRUENT T RIANGLES To identify congruent overlapping triangles To prove two triangles congruent by first proving.

Students will explicitly define, use, and calculate exterior and interior angles of triangles.

Draw the net for the prism and find the surface area. Show work and include units !

11-1 Space Figures and Cross Sections

7-4 Similarity in Right Triangles Students will use the special case of drawing an altitude in right triangles to find similar triangles. They will also.

8-1 The Pythagorean Theorem and Its Converse

12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.

 The following questions are to help you see how well you understood today’s lesson.  Please follow up with me if you don’t.

Section 12.7 Explore Similar Solids. Homework none.

12-2 Chords and Arcs To use congruent chords, arcs, and central angles. To use perpendicular bisectors to chords. With a knowledge of proving triangles.

11-6 Surface Areas and Volumes of Spheres To find the surface area and volume of a sphere. Students will be able to make an approximation of a sphere.

LESSON 8.4 SURFACE AREAS AND VOLUME OF SIMILAR SOLIDS Advanced Two Chapter 8 Volume and Similar Solids.

Lesson Topic: The Formula for Volume & Volume in the Real World Lesson Objective: I can…  I can develop, understand, and apply formulas for finding the.

 A rectangular prism is a solid (3- dimensional) object which has six faces that are rectangles. It is a prism because it has the same cross-section.

Objective: To identify properties of medians and altitudes of a triangle 5-4 Medians and Altitudes Using medians and altitudes of a triangle, students.

Surface Area and Volume of Similar Figures Section 12.7.

5-3 Bisectors in Triangles To identify properties of perpendicular bisectors and angle bisectors. Using perpendicular and angle bisectors, students will.

Course 2 Unit 5 Lesson 7 Unit 5 Lesson 7 Properties of Volume and Surface Area Properties of Volume and Surface Area.

Similar Solids definition Similar Solids Two solids in which their corresponding linear measures form equal ratios

6-5 Conditions for Rhombuses, Rectangles, and Squares

9-1 Translations To identify isometries To find translation images of figures.

Surface Area and Volume Challenge Construct two 3-Dimensional Figures given large sheets of construction paper: – One that has the largest possible Surface.

4-6 CONGRUENCE IN RIGHT TRIANGLES To prove triangles congruent using the HL Theorem.

11-5 Volumes of Pyramids and Cones To find the volume of a pyramid and of a cone With a knowledge of Cavalier’s Principle with respect to prisms and cylinders,

Lesson: Surface Area of Solids

11-3 Surface Areas of Pyramids and Cones

Surface Area and Volume of Similar Figures

2-1 Patterns and Inductive Reasoning

2-2 Conditional Statements

7-5 Proportions in Triangles

7-1 Areas of Parallelograms and Triangles

10-2 Areas of Trapezoids, Rhombuses, and Kites

To verify and use properties of trapezoids and kites

To find reflection images of figures

10-8 Geometric Probability

3-4 Parallel and Perpendicular lines

6-2 Properties of Parallelograms

To identify and apply similar polygons

5-4 Medians and Altitudes

6-2 Properties of Parallelograms

4-1 Quiz The following questions are designed to help you decide how well you understand today’s lesson. Please ask me if you.

3-3 Proving Lines Parallel

Solid Figures Geometry.

5-1 Midsegments of Triangles

Solid Figures Geometry.

Entering & Beginning Class

To use properties of a tangent to a circle.

11.7: Surface Area and Volume for Similar Solids

5-3 Bisectors in Triangles

12-4 Angle Measures and Segment Lengths

3-3 parallel Lines and the triangle sum theorem

6-4 Special Parallelograms

10-4 Perimeters and Areas of similar Figures

7-7 Areas of Circles and Sectors To find the areas of circles, sectors, and segments of circles With the formula for the area of a circle, students.

Students will consistently and appropriately use the parallel symbol in descriptions of lines and planes. 3-1 LINES AND ANGLES To identify relationships.

8-2 Special Right Triangles

Lesson 9.5 ext. – Cross Sections of 3-Dimensional Figures

3-8 Quiz The following questions are to help you decide if you understood today’s lesson. Please take time to see me if you.

Unit 5 Review 6th Grade Math.

Lesson 26: Slicing 3 dimensional figures

Presentation transcript:

To compare and find the areas and volumes of similar solids. Students will analyze the relationship between the scale factor, surface area, and volume of similar three- dimensional geometric figures by relating them to rectangular prisms.

 The following questions are designed to help you decide how well you understood today’s lesson.  Be sure to record the number you get right on your portfolio sheet and ask if you miss one!

A. Yes; 1:3 B. Yes; 1:2 C. Yes; 1:5 D. No Non-Response Grid

A. 81 : 225 B. 3 : 5 C. 5 : 3 D. 225 : 81 Non-Response Grid

A. 216 : 3375 B : 216 C. 5 : 2 D. 2 : 5 Non-Response Grid

A. 56 m 2 B. 500 m 2 C. 100 m 2 D. 200 m 2 Non-Response Grid

A lb B lb C lb D lb Non-Response Grid

11-7 P #6-38 even Be sure to RATE your understanding of the lesson after you finish it AND give me one complete sentence as to why you rated yourself that way then summarize what the lesson was about in a sentence or two.