Unit cube Activity 1 by Ms. Rashmi Kathuria

57 %
43 %
Information about Unit cube Activity 1 by Ms. Rashmi Kathuria

Published on November 1, 2007

Author: kulachihansraj

Source: slideshare.net

Description

This is an activity to verify the cubic algebraic formula for
(a+b)^3..

Algebraic Identities A presentation by.. Rashmi Kathuria

Activity Aim : To prove the algebraic identity (a+b) 3 = a 3 +3a 2 b+3ab 2 +b 3 using unit cubes. Material required: Unit Cubes.

Aim : To prove the algebraic identity

(a+b) 3 = a 3 +3a 2 b+3ab 2 +b 3

using unit cubes.

Material required: Unit Cubes.

Start Working.. Take any suitable value for a and b. Let a=3 and b=1

Step 1. To represent a 3 make a cube of dimension a x a x a i.e. 3x3x3 cubic units.

Step 2. To represent 3a 2 b make 3 cuboids of dimension a x a x b i.e. 3x3x1 cubic units.

Step 3. To represent 3ab 2 make 3 cuboids of dimension a x b x b i.e. 3x1x1 cubic units.

Step 4. To represent b 3 make a cube of dimension a x a x a i.e. 1x1x1 cubic units.

Step 5. Join all the cubes and cuboids formed in the previous steps to make a cube of dimension (a +b) x ( a +b) x ( a +b) i.e. 4x4x4 cubic units. = + + +

Observe the following The number of unit cubes in a 3 = ..27….. The number of unit cubes in 3a 2 b =…27… The number of unit cubes in 3ab 2 =…9…… The number of unit cubes in b 3 =…1…… The number of unit cubes in a 3 + 3a 2 b + 3ab 2 + b 3 = ..64…. The number of unit cubes in (a+b) 3 =…64…

The number of unit cubes in a 3 = ..27…..

The number of unit cubes in 3a 2 b =…27…

The number of unit cubes in 3ab 2 =…9……

The number of unit cubes in b 3 =…1……

The number of unit cubes in a 3 + 3a 2 b + 3ab 2 + b 3

= ..64….

The number of unit cubes in (a+b) 3 =…64…

It is observed that the number of unit cubes in (a+b) 3 is equal to the number of unit cubes in a 3 +3a 2 b+3ab 2 +b 3 . Learning outcome

Add a comment

Related presentations

Related pages

Unit cube Activity 1 by Ms. Rashmi Kathuria - Education

1. Algebraic Identities A presentation by.. Rashmi Kathuria. 2. Activity . Aim :To prove the algebraic identity (a+b) 3= a 3+3a 2 b+3ab 2 +b 3. using unit ...
Read more

unit cube Activity4 by Ms. Rashmi Kathuria - Technology

1. Algebraic Identities… By RASHMI KATHURIA. 2. Activity 4 . Aim :To prove the algebraic identity . a 3 +b 3=(a+b)(a 2-ab+b 2 ) using unit cubes.
Read more

Unit-1 Real Numbers Core - scribd.com

Rashmi Kathuria Ms. Anita ... we have found whole numbers q and r. 12 Pair of numbers 10 Relation MATHEMATICS UNIT . 15. 23. 90. 1. o < r < b Activity ...
Read more

Unit-7- Understanding Shapes 2D and 3D - scribd.com

... (Maths) E O (Science) Ms. Seema Choudhary Mr. Rashmi Kathuria Ms ... 1. Observe and recognize nets for cube ... Activity 1 –Independent ...
Read more

Science_Unit_2.pdf - StudyBlue

Study online flashcards and notes for Science_Unit_2.pdf including CBSE-i CLASS IX Shiksha Kendra, 2, Community Centre, Preet Vihar, ...
Read more

CBSE-i X Mathematics

Ms. Manjari Rattan Mathematics : ... Ms. Rashmi Kathuria Ms. Reemu Verma Dr. Ram Avtar Mr. Mahendra Shankar ... 1 Syllabus –UNIT ...
Read more

Biome cube activity - Documents - docslide.us

Biome cube activity rubric 1. Biome Cube Project Standard: S7L4. Students will examine the dependence of organisms on one another and their environments. e.
Read more

Teachers Enrichment Programme | Shalom Hills International ...

As part of the school’s thriving Teacher Enrichment Programme, ... activity was conducted on Day 1, ... Rashmi Kathuria (Kulachi Hansraj School), Ms ...
Read more