Each group is given a die and they will roll to see what scale factor they will have to draw of their figure (excluding 1).

Using a ruler, they draw their created rectangle and remove the cubes.

They are to create a rectangle of any number of cubes long (from 4-20) and any number of cubes wide (from 4-20).

Students are given centimeter cubes in their groups and a piece of white paper.

Students will watch this you tube video to refresh their thinking on scale factor before we begin our activity:.

Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.ħ.G.1: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.ħ.G.2: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions.

Be familiar with and be able to calculate problems involving an exponent of 2ħ.RP.2: Recognize and represent proportional relationships between quantities.ħ.RP.3: Use proportional relationships to solve multistep ratio and percent problems.

Using multiplication and division skills to find a pattern.

How to build a figure based on a certain scale factor.

Similar shapes have a scale factor, same angles and same shape.

Scale factor affects all dimensions of a figure and is the number I multiplied each of the sides of the original figure to get to my new figure.

Perimeter is the outside distance around a figure.

What would happen if you are looking at volume changes with a scale factor? (D).

How do you see the area is affected by the scale factor? (C).

How do you see the perimeter is affected by a scale factor? (C).

How do you find the perimeter of a polygon? (F).

How do you find the area of a polygon? (F).

The changes of perimeter and area only apply if the 2 figures are similar.

The area change will be the scale factor squared.

The perimeter change will be the scale factor.

Scale factor is how much larger or smaller a figure is getting in all dimensions.

The scale factor of a polygon has a relationship towards how the perimeter and area of the new figure changes.

Unit Strands : Perimeter and Scale Factor, Area and Scale Factor

Unit Title : Stretching and Shrinking (title from CMP3 curriculum)Ĭonceptual Lens : Relationships and Change

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