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Spiral
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Spiral Curriculum Project Overview
The main idea of the Spiral Curriculum is that students repeat the study of a subject at different grade levels, each time at a higher level of difficulty and in greater depth.
Proportionality is fundamentally important to us because it is a useful and versitle tool that we can use to solve problems in mathematics as well as other diciplines. For example in art we use the concept to convert a small image into a large one or vise versa when making models, or when drawing bodies making the head and the hands the right sized compared to the rest of the body, or even mixing our paints to get the hue we wish to use. In mathematics they are useful in computing measurements of geometric shapes, percentages or a number, and even in solving related rates problems in physics.
Proportionality can expand ones outlook on the relationships and comparisons between measureable objects. It allows one to have an enhanced appreciation of architechture, art, painting, music, nature etc. This provides critical understanding of these concepts which may provide a wealth of opportunities for students.
Group Project with Jose Alameida and Anthony Shine
Proportionality is fundamentally important to us because it is a useful and versitle tool that we can use to solve problems in mathematics as well as other diciplines. For example in art we use the concept to convert a small image into a large one or vise versa when making models, or when drawing bodies making the head and the hands the right sized compared to the rest of the body, or even mixing our paints to get the hue we wish to use. In mathematics they are useful in computing measurements of geometric shapes, percentages or a number, and even in solving related rates problems in physics.
Proportionality can expand ones outlook on the relationships and comparisons between measureable objects. It allows one to have an enhanced appreciation of architechture, art, painting, music, nature etc. This provides critical understanding of these concepts which may provide a wealth of opportunities for students.
Group Project with Jose Alameida and Anthony Shine
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Grade 4Measurements and comparisons of body parts. Teacher demonstration of measurements of body with respect to head, feet, forearms, etc. Students repeat this, compare ratios, and show that ratios exist and may or may not be common between individuals.
Shows that ratios exist, and may or may be identical between similar objects Click here for the Grade 4 Lesson Plan. |
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Grade 6Students learn how to create a desired shade of green "paint" by using proportions to compute the appropriate amount of blue and yellow "paint". They will compute using ratios to compare objects.
Click here for the Grade 6 Lesson Plan. |
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Geometry (Grades 9-12)
Students work with similar triangles and prove the proportionality of the corresponding sides in order to determine whether the triangles are similar. They will prove ratios exist in geometric objects.
Click here for the Geometry Lesson Plan. |
