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Composing and Decomposing Shapes Based on Different Properties

Composing and Decomposing Shapes Based on Different Properties

Curriculum
6G–1: Compose and decompose shapes according to given properties, including dimensions, angles, and area, to solve related problems. This task enhances understanding of geometric principles and spatial reasoning, crucial for grasping the properties of shapes and solving geometric challenges.
Strengthens skills in geometry, promoting analytical thinking and precision in mathematical descriptions.
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Resources
Hugo Cheyneover 1 year ago
https://www.youtube.com/watch?v=rBpsauKXPfs

Worked example video showing how to calculate the perimeter and area of a L-shape shape with missing lengths. Gets the brain working on filling in blanks and linking mathematical concepts together!

Hugo Cheyneover 1 year ago
https://www.amsi.org.au/ESA_Resources/Q1593/Q1593_5.html

Questions 6 and 7 are interactive questions which are perfect practice for decomposing shapes to answer problems with missing variables.

Hugo Cheyneover 1 year ago
https://www.leighterton.com/wp-content/uploads/2021/02/Ridge-Class-Week-6-Maths-Thursday-Y5-with-answers.pdf

The later questions in thies worksheet, from question 4 onwards, get students to think creatively about the properties of shapes and decomposing them to find the answers to word problems.

Hugo Cheyneover 1 year ago
https://thirdspacelearning.com/gcse-maths/geometry-and-measure/perimeter-of-compound-shapes/

Interactive worksheet with exercises at the end helping students to understand how to calculate the perimeter of compound shapes.

Hugo Cheyneover 1 year ago
https://www.papersnake.com/squared_paper/squared10x10.pdf

Blank 1cm squared paper to print if needed :)

Hugo Cheyneover 1 year ago
https://corbettmaths.com/wp-content/uploads/2013/02/area-of-shapes-on-a-grid-pdf1.pdf

The questions on the 'apply' section of this worksheet are great at testing students' ability to draw shapes on squared paper given a set of instructions. For example, 3 different rectangles with an area of 12cm squared.

Hugo Cheyneover 1 year ago
https://www.education.com/download/worksheet/175570/constructing-geometric-shapes.pdf

Printable worksheet with questions that describe the properties of a shape and students then need to draw that shape.

Required Topics
Not started IconSolving Problems with Two Unknowns
Not started IconDrawing and Analyzing Polygons
Not started IconCalculating Area of Rectangles
Not started IconComparing and Measuring Angles
Next Topics
Not started IconProperties of 2D Shapes