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In this course, you will :
- Build up a toolbox of angle ideas to discover geometric principles.
- Sides and angles — the unbreakable partnership that makes triangles what they are today.
- Put your knowledge of angles to work to track down the missing information in these shape puzzles.
- Trace the borders of your understanding by exploring the paths around shapes.
- How many squares do we need to build a triangle?
- How many triangles do we need to build a circle?
- To conquer new shapes, it helps to catch a glimpse of the old.
- How much paint do we need to redecorate a prism?
- Unlock Pythagoras’ famous formula by looking at the same triangle in two different ways.
- If at first you can't see a triangle in your problem, you might not be looking hard enough.
- Overlay a grid and any problem can be a geometry problem.
- With a grid and Pythagoras, we can find any distance.
- How many cubes do we need to build a cylinder?
- Through symmetry and slice, discover the volume of these solids without an ounce of calculus.
- How do the pieces of a shape relate to one another?
- Can we use our knowledge of one shape to find the measurements of another?
- You'll need to use some triangular tricks to solve these problems.
- When faced with a complex figure, consider the part each piece plays.
- Use the rules you've learned to chase down every angle in sight.
Syllabus :
1. Angles and Lengths
- Angle Facts
- Triangle Sides and Angles
- Angle Hunting
- Perimeters
2. Area
- Polygon Areas
- Circles
- Composite Figures
- Surface Area
3. Pythagoras' Geometry
- The Pythagorean Theorem
- Applying the Pythagorean Theorem
- Coordinate Geometry
- Coordinate Distance
4. Scaling and Volume
- Volume
- Pyramids and Cones
- Geometric Ratios
- Similarity
5. When Geometry Gets Tough
- Finding Triangles
- Relating Parts to the Whole
- Advanced Angle Hunting
