Presentation is loading. Please wait.

Coordinate, Plane, and Solid

Published byRichard Hall Modified over 6 years ago

Presentation on theme: "Coordinate, Plane, and Solid"— Presentation transcript:

1 Coordinate, Plane, and Solid
Geometry Coordinate, Plane, and Solid

2 Geometry Reminders: SAT gives formula reminders on first page; ACT doesn’t Some figures are drawn to scale, others aren’t Making/modifying/labeling diagrams is often a good start If you know how to solve it, then solve it. If you don’t know how to solve it, remember: Variables in the answer choices = Make a Target Numbers in the answer choices = Plug-n-Chug Grid-in = you might still be able to Target or Plug, depending on the question

3 Coordinate Geometry: Basic
Be sure to know what all of the parts of the slope-intercept form (y=mx+b) mean Know your general slope behaviors Always look for “hidden” information

4 Coordinate Geometry: Less Basic
Harder problems are formed by combining geometry with other concepts Don’t be fooled by an obfuscated presentation!

5 Coordinate Geometry: Less Basic
Harder problems are formed by combining geometry with other concepts Don’t be fooled by an obfuscated presentation!

6 Coordinate Geometry: Advanced
The stranger the graph, the easier the math This is where you’ll see quadratics, so remember that y=f(x) still means that you get a y-coordinate for every x-coordinate you plug into the function Know your transformations!

7 Coordinate Geometry: Advanced
The stranger the graph, the easier the math This is where you’ll see quadratics, so remember that y=f(x) still means that you get a y-coordinate for every x-coordinate you plug into the function Know your transformations!

8 Coordinate Geometry: Advanced
The stranger the graph, the easier the math This is where you’ll see quadratics, so remember that y=f(x) still means that you get a y-coordinate for every x-coordinate you plug into the function Know your transformations!

9 Coordinate Geometry: Advanced
The stranger the graph, the easier the math This is where you’ll see quadratics, so remember that y=f(x) still means that you get a y-coordinate for every x-coordinate you plug into the function Know your transformations!

10 Plane Geometry: Angles-only
Angles-only problems are rare, and usually occur in the early part of a section

11 Plane Geometry: Angles-only
Angles-only problems are rare, and usually occur in the early part of a section

12 Plane Geometry: Triangles
Both tests LOVE triangles because a little information can go a long way with these figures Therefore, you should always look for hidden information Higher-difficulty problems will be more abstract or make use of the triangle inequality theorem

13 Plane Geometry: Triangles
Both tests LOVE triangles because a little information can go a long way with these figures Therefore, you should always look for hidden information Higher-difficulty problems will be more abstract or make use of the triangle inequality theorem

14 Plane Geometry: Triangles
Both tests LOVE triangles because a little information can go a long way with these figures Therefore, you should always look for hidden information Higher-difficulty problems will be more abstract or make use of the triangle inequality theorem

15 Plane Geometry: Right Triangles
Right triangles provide even more opportunity for hidden information Always look for hidden right triangles Remember, most of the info on right triangles and special right triangles is on the first page of the section

16 Plane Geometry: Right Triangles
Right triangles provide even more opportunity for hidden information Always look for hidden right triangles Remember, most of the info on right triangles and special right triangles is on the first page of the section

17 Plane Geometry: Right Triangles
Right triangles provide even more opportunity for hidden information Always look for hidden right triangles Remember, most of the info on right triangles and special right triangles is on the first page of the section

18 Plane Geometry: Polygons
Expect questions about area and perimeters of quadrilaterals Remember the formula for the sum of the interior angles of a polygon with n sides. Questions about trapezoids and parallelograms are relatively rare

19 Plane Geometry: Polygons
Expect questions about area and perimeters of quadrilaterals Remember the formula for the sum of the interior angles of a polygon with n sides. Questions about trapezoids and parallelograms are relatively rare

20 Plane Geometry: Polygons
Expect questions about area and perimeters of quadrilaterals Remember the formula for the sum of the interior angles of a polygon with n sides. Questions about trapezoids and parallelograms are relatively rare

21 Plane Geometry: Circles
If you know the radius, you know everything about the circle NEVER calculate π unless specifically instructed to do so! Treat π like a variable The ratio of a central angle to 360° = the ratio of the corresponding arc length to the circumference = the ratio of the corresponding sector to the area of the circle

22 Plane Geometry: Circles
If you know the radius, you know everything about the circle NEVER calculate π unless specifically instructed to do so! Treat π like a variable The ratio of a central angle to 360° = the ratio of the corresponding arc length to the circumference = the ratio of the corresponding sector to the area of the circle

23 Plane Geometry: Circles
If you know the radius, you know everything about the circle NEVER calculate π unless specifically instructed to do so! Treat π like a variable The ratio of a central angle to 360° = the ratio of the corresponding arc length to the circumference = the ratio of the corresponding sector to the area of the circle

24 Plane Geometry: Complex Figures
Very common in later questions Look for the simple figures that make up the more complex one – especially hidden right triangles! Look for opportunities to relate information about one simple figure to another “Probability of a point randomly selected” = ratio of areas

25 Plane Geometry: Complex Figures
Very common in later questions Look for the simple figures that make up the more complex one – especially hidden right triangles! Look for opportunities to relate information about one simple figure to another “Probability of a point randomly selected” = ratio of areas

26 Plane Geometry: Complex Figures
Very common in later questions Look for the simple figures that make up the more complex one – especially hidden right triangles! Look for opportunities to relate information about one simple figure to another “Probability of a point randomly selected” = ratio of areas

27 Plane Geometry: Complex Figures
Very common in later questions Look for the simple figures that make up the more complex one – especially hidden right triangles! Look for opportunities to relate information about one simple figure to another “Probability of a point randomly selected” = ratio of areas

28 Plane Geometry: Complex Figures
Very common in later questions Look for the simple figures that make up the more complex one – especially hidden right triangles! Look for opportunities to relate information about one simple figure to another “Probability of a point randomly selected” = ratio of areas

29 Solid Geometry Treat solids just like complex figures – look for the simple figures that make up the solid Geometric visualization questions can be tricky; you have to think about a 3-d object in a 2-d space If you draw, be careful!

30 Solid Geometry Treat solids just like complex figures – look for the simple figures that make up the solid Geometric visualization questions can be tricky; you have to think about a 3-d object in a 2-d space If you draw, be careful!