Scale is a concept that is found at numerous grade levels in the Nova Scotia Mathematics curriculum. Scale drawings and models, similar polygons, and proportions are all found in mathematics outcomes. In math, scale is the ratio of the length in an image (or model) to the length of the actual object. Below is a question relating to scale factors. A scale factor is the ratio of any two corresponding lengths in two similar geometric figures. Take a look at the three different versions of Connect Four. Estimate the scale factor between each pair of game boards from the given pictures. Estimate the radius of each of the coloured chips. Is the scale factor of the radius of each coloured chip the same as the scale factor of their volume? You might ask students how scale is different from proportion. Try out this question: How big would a game board of Connect Four Hundred be (or even Connect Four Million) compared to Connect Four? In visual arts, scale refers to the size ratio between objects within an image. Using a consistent scale will make a drawing look more realistic. Objects do not appear too large or too small when compared to each other. Sometimes however, an artist might intentionally change the scale of certain objects in an image. One such technique is called 'Hieratic scale' or sometimes 'Hierarchical proportion'. This technique can be seen in paintings and sculpture from the middle ages where powerful or holy people were sometimes painted larger than ordinary or less important people to show their relative importance. The larger a person was, the greater their importance.
It would be fun to show students examples of how visual artists play with scale in order to make an impact on the viewer. Students might even be given an opportunity to create a piece of art that has an exaggerated or inconsistent scale or plays with forced perspective. Nova Scotia Mathematics Curriculum Outcomes Grade 6 N05  Students will be expected to demonstrate an understanding of ratio, concretely, pictorially, and symbolically. Grade 8 N04  Students will be expected to demonstrate an understanding of ratio and rate. Grade 8 N05  Students will be expected to solve problems that involve rates, ratios, and proportional reasoning. Grade 9 G03  Students will be expected to draw and interpret scale diagrams of 2D shapes. Math at Work 10 G03  Students will be expected to demonstrate an understanding of similarity of convex polygons, including regular and irregular polygons. Mathematics Essentials 11 D9  calculate scale factors in 2D scale diagrams and 3D scale models understand the relationship among the scale factor and the related change in area or volume.Math at Work 11 G02  Students will be expected to solve problems that involve scale. Mathematics 11 M03  Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2D shapes and 3D objects. EL
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Here are a few questions that I thought about:
Below are some additional photos: Given the list of lego bricks, you could ask students a number of additional questions:
The Discovery Centre is currently working on a project to build Canada's largest Lego mosaic wall. The wall will be installed at the Discovery Centre's new location when it moves. Nova Scotia Mathematics Curriculum Outcomes Mathematics 7  N07 Students will be expected to compare, order, and position positive fractions, positive decimals (to thousandths), and whole numbers by using benchmarks, place value, and equivalent fractions and/or decimals. Mathematics 8  N03 Students will be expected to demonstrate an understanding of and solve problems involving percents greater than or equal to 0%. Mathematics 8  N04 Students will be expected to demonstrate an understanding of ratio and rate. Mathematics 9  N03 Students will be expected to demonstrate an understanding of rational numbers by comparing and ordering rational numbers and solving problems that involve arithmetic operations on rational numbers. Mathematics at Work 11  G02 Students will be expected to solve problems that involve scale. EL

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