CPALMS
 
spacer Benchmark Icon spacer Benchmark: MA.5.G.5.4
spacer
spacer
spacer   spacer
spacer
Benchmark Number: MA.5.G.5.4
Benchmark Description: Derive and apply formulas for areas of parallelograms, triangles, and trapezoids from the area of a rectangle.
Subject Area: Mathematics  
Grade Level: 5  
Body of Knowledge: Geometry  
Supporting Idea: Geometry and Measurement - Geometry and Measurement  
Date Adopted or Revised: 09/07  
Date of Last Rating: 06/07  
Cognitive Complexity: High  -  What does this mean?  
Status: State Board Approved  
Remarks/Examples: The formula for the area of a rectangle, "base x height", can be applied to develop formulas for the area of parallelograms, triangles, and trapezoids. Triangles can be constructed from diagonals of parallelograms to explore the formula "base x height divided by 2".  
spacer
spacer   spacer


spacer    spacer
spacer

Good Benchmark Tie (2)

Resource Type(s)
» Dynamic Paper (tool to print graph paper,number lines and grids,shapes,spinners,nets,tessellations)
Create a set of pattern blocks, a pentagonal pyramid, a number line from -18 to 32 by 5's, grids, and more with the Dynamic Paper tool. Place the images you want, then export it as a PDF activity sheet for your students or as a JPEG...» ...read more
Educational Software / Tool
» A Maths Dictionary For Kids
This site provides an animated dictionary of mathematical terms and concepts.   There are interactive entries, as well.
Text Resource
Resources powered by: CPALMS
  


spacer    spacer
spacer
Reporting Category: Geometry and Measurement
Item Type(s):
This benchmark will be assessed using: MC items.
At Grade 5, this benchmark will be assessed using MC items.
Clarification: Students will find the areas of parallelograms, triangles, and trapezoids.

Students will justify the area formulas for parallelograms, triangles, and trapezoids using the area formula for rectangles.
Content Limits: Items assessing areas of trapezoids must use only isosceles trapezoids.

Areas must include whole numbers with three or fewer significant digits and up to a maximum of five digits.
Stimulus Attributes: Graphics must be used in all these items.

Items that are set in real-world context may use length and width as dimensions as well as base and height as dimensions.

Graphics of figures may include dashed lines that show how a shape can be decomposed and recomposed to form a rectangle.

Figures should be presented on grids, when appropriate.
Prior Knowledge: Items may require the student to apply mathematical knowledge described in the Standards from lower grades. This benchmark requires prerequisite knowledge from MA.3.G.3.1, MA.3.G.3.2, MA.3.G.3.3 and MA.4.G.3.1, MA.4.G.3.2, MA.4.G.3.3.
  


spacer    spacer
spacer
» Sample Item 1:
A drama teacher drew up plans for a stage he wants to build. A diagram of the top of the stage,...   ...read more
NA
MC : Multiple Choice
  


spacer   spacer
spacer
» 5012070 Mathematics - Grade Five
» 7712060 Access Mathematics - Grade 5
spacer
spacer   spacer


spacer   spacer
spacer

Supported
» MA.5.G.5.Su.d : Identify the distance around all sides (perimeter) of squares and rectangles.
» MA.5.G.5.Su.e : Compare the size of two square areas using physical models.

Participatory
» MA.5.G.5.Pa.d : Recognize differences in size of large and small areas.

spacer
spacer   spacer
spacer
spacer


spacer
Search Left Top 1 Page Options   Search Left Top 2
Search Left Left Please click on the "Print view" button below to open the page with minimal /graphics for faster printing:
Print View
You can export the results into a Microsoft Word® and/or Microsoft Excel® files. To start the export process, click on one of the following options and then choose "save" to download to your computer. Exporting the results might take up to few minutes. Please do not leave the page before the export process is complete.

Search Left Right
Search Left Bottom 1   Search Left Bottom 2
spacer
spacer
Search Footer Background