Workplace and Apprenticeship 10 Year Plan
Proportional Reasoning-Big Idea
Theme: Dollar Dollar Bills You All
Apply proportional reasoning to solve problems involving unit pricing and currency exchange. [CN, ME, PS, R, T]
Demonstrate understanding of income including:
- gross pay
- net pay.
[C, CN, R, T]
Demonstrate using concrete, and pictorial models, and symbolic representations, understanding of measurement systems including:
- The Système International (SI)
- The British Imperial system
- The US customary system.
[C, CN, ME, T, V]
Demonstrate, using concrete and pictorial models, and symbolic representations, understanding of linear measurement, including units in the SI and Imperial systems of measurement. [CN, ME, PS, R, T, V]
Demonstrate using concrete and pictorial models, and symbolic representations, understanding of area of 2-D shapes and surface area of 3-D objects including units in SI and Imperial systems of measurement. [CN, ME, PS, R, T, V]
Apply understanding of the Pythagorean Theorem to solve problems. [C, CN, PS, V, T]
Demonstrate an understanding of primary trigonometric ratios (sine, cosine, and tangent). [CN, PS, R, T, V]
Demonstrate understanding of angles including:
- drawing and sketching
- replicating and constructing
- relating to parallel, perpendicular, and transversal lines
- solving problems.
[C, ME, PS, T, V]
Themes: Similar Polygons
Demonstrate understanding of similarity of convex polygons, including regular and irregular polygons. [C, CN, PS, V, T]
Themes: Salt N’ Peppa
Demonstrate understanding of the preservation of equality including solving problems that involve the manipulation and application of formulas related to:
- the Pythagorean Theorem
- primary trigonometric ratios
[C, CN, ME, PS, R, T]
Analyze puzzles and games that involve spatial reasoning using problem solving strategies. [C, CN, PS, R]
Rationale: We chose to start with the Dollar Dollar Bills You All Theme because money is something that is relatable to all students, so it is a good way to grab students attention at the beginning of the course. The unit pricing portion introduces proportional reasoning, which is the main topic of this course, and the income outcome fits well with the unit pricing because they both deal with money.
Next, we chose to move on to the measurement theme because it build on the proportional reasoning concept from the previous theme (converting between measurement systems), as well as introduces and prepares students for the measurement aspect of trigonometry, as they may have to measure sides of triangles or angles.
After Measurement, we get into Trigonometry, which, again, builds on proportions (ratios) and finding sides and angles without having to measure. They can use the measurement concepts from the previous theme.
The Angles theme comes next because it builds on the basic angles concept they dealt with in the Trigonometry theme.
From Angles, we move into Similar Polygons because it deals with most of the concepts covered so far in the course. There is an emphasis on finding angles, sides, and determining if shapes are similar (proportions).
The last theme is called Salt N’ Peppa because the concepts within it can be sprinkled throughout the course, as they are all covered at different points. It involves manipulating perimeter, area, Pythagorean Theorem, trig ratios, income.