FOCUS

Perimeter, Circumference and Area

q    Understand how to calculate perimeter

q    Understand how to calculate circumference

q    Describe what happens to perimeter/circumference when 1 or 2 linear dimensions are changed.

GLEs

GLE 1.2.5 Gr 7  Use formulas to determine measurements related to circles, triangles and rectangular prisms.

HELP

Interactive Website: Finding Perimeter of triangles, rectangles….

Website: Explains Perimeter and Area of Common Shapes

Website: Enter length & Width and gives Area

Worksheet: Perimeter of Polygons

Website: Circumference
Teaches you about Circumference --- go down list to Unit 7

ENRICHMENT

Surface Area and Volume of Rectangular Prisms

q    Understand how to calculate the surface area of a rectangular prism

q    Understand how to calculate the volume of a rectangular prism

GLE 1.2.1 GR 6  Understand the concepts of volume and extend the concept of area to surface area of rectangular prisms. 

GLE 1.2.6 GR 6 Understand and apply strategies to obtain reasonable estimates of volume or capacity.  

GLE 1.2.5 GR7: Apply formulas to find measurements of circles, triangles, and rectangular prisms

Online Presentation on finding volume for a rectangular solid – website, interactive.  Will teach the formula for volume, but does show the “fill the space” examples.

Website: Volume of Rectangular Prisms

Teaches you about Volume --- go down list to Unit 7

Burying Garbage – A real world task involving volume.

Surface Area and Volume of Cylinders (and Triangular Prism)

(new learning for some)

Interactive Website: Deriving the formula for a cylinder from a prism -
 “green sheet” allows students to change the number of sides for the prism inside the cylinder and see how the volume changes

GLE 1.2.5 GR7: Apply formulas to find measurements of circles, triangles, and rectangular prisms.

GLE 1.2.5 GR 8  Use formulas….. to determine measurements … rectangular prisms, and right cylinders.

GLE 1.2.6 GR 8  Apply strategies to obtain reasonable estimates of surface area and volume of right cylinders and rectangular prisms…

Finding Volume – Website, Interactive -  allows students to change the dimensions of a rectangular/triangular prism and it presents surface area and volume --- has a worksheet that you could have students print off and then complete as homework.

Website: Problems to practice calculating Vol of Triangular Prisms

Circumference, Perimeter and Area – Changing Linear Dimension

q   Strategies for volume and surface area of cylinder

q   Develop strategies for finding volume & surface are of cylinder

q   Compare process of finding volume & surface areas of cylinder & rectangular prism

q   Investigate interesting problems involving volumes & surface areas of cylinders & prisms

GLE 1.2.1 GR7: Analyze how a change in a linear dimension affects other linear and area measurements

0 @  Foundations

0 @  Adaptations

0 @ Remediations

1-2-3 Program

4 – 5 Enrichment

6 –7 Enhancement

8- 9 Extension

Interactive Website:Perimeter & Area with Linear Change

You to change the shape—then you can see the difference in area squares and length of sides for perimeter.

Rectangular Prisms, Cylinders, (Triangular Prisms) – Changing Linear Dimensions

q   Strategies for finding surface area of a rectangular box

q   Develop strategies for finding vol. of cones & spheres

q   Find relationships among vol. Of cylinders, cones, spheres

Reason about problems involving cylinders, cones, and spheres

GLE 1.2.1 GR 8: Analyze how a change in a linear dimension affects volume and surface area of rec. prisms & right cylinders

 ,,,impact of change in 1 dimension has on volume,

… relationships among linear dimensions, volume  surf area

…solve problems involving effects of changes on these  

GLE 1.2.5  GR 8 Understand and apply formulas … to right prisms, right cylinders and triangles.

0 @  Foundations

0 @  Adaptations

0 @ Remediations

1-2-3 Program

4 – 5 Enrichment

6 –7 Enhancement

8- 9 Extension

Interactive Website: SA& Vol as you change dim for Rect Prism

Interactive Website: A first look at Similarity and Volume –
This site allows students to play with similar rectangular prisms in studying the impact of linear change on surface area and volume.

A Study in Cubic Growth – a handout studying linear change and volume.