Grade 10 math

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Grade 10 math by Mind Map: Grade 10 math

1. Course Information

1.1. Principles of Mathematics

1.2. Zerin Ahmed

1.2.1. Name

1.2.2. Office hours

1.2.3. Contact

1.3. period 2 at Milton Prep Academy

1.4. MPM 2D,Principles of Mathematics

1.5. Sign in - Google Accounts

1.5.1. E-learning

1.5.2. Student forum

2. Exam Info

2.1. NOV 30

2.1.1. 1st Sitting

2.1.2. 2nd Sitting

2.1.3. 3rd Sitting

2.2. Milton prep Academy room A

2.3. 11.10am

2.3.1. Essay exam

2.3.2. Oral exam

2.3.3. Multiple choice

2.4. ruler calculator

3. Course Topics

3.1. Linear Systems

3.1.1. Function

3.1.2. linear

3.1.2.1. straight slope "m" is the same .

3.1.2.1.1. steepness

3.1.3. non-linear

3.1.3.1. curved-linear slope will change

3.1.4. m=y2-y1/x2-x1

3.1.5. y-int : y=mx+b

3.1.5.1. at what point on the y-axis cloes the line cross

3.1.6. standard : Ax+By+C=0

3.1.7. direct variations (orgin) =(0.0)

3.1.8. partial variations

3.1.9. 2 linear functions on the same grid

3.1.10. Types of solutions——points of intersestion .where the 2 functions meet.

3.1.10.1. no solution. m1=m2 parallel lines

3.1.10.2. one solutions m1≠m2

3.1.10.3. infite solution m1=m2 b1=b2

3.2. Analytical Geometry

3.2.1. line ,point , line segment , ray .d=√(x2-x1)(x2-x1)+(y2-y1)(y2-y1)

3.2.2. M is midpoint

3.2.2.1. a point the same length from the midpoint to each endpoint.

3.2.2.1.1. M(x2+x1)/2,(y2+y1)/2

3.2.3. All sides are equal equilateral

3.2.4. 2 sides are equal isosceles

3.2.5. no sides are equal scalene

3.2.6. right angle 2 slope are perpendicular m=-1/m2

3.2.6.1. m1=0 m2=und undefined

3.2.7. parallel m1=m2

3.2.8. perpendicular m1=-1/m2

3.2.9. Quadrilateral

3.2.9.1. square

3.2.9.2. 2 sets of para

3.2.9.3. 2 sets of perem

3.2.9.4. all the sides are equall

3.2.10. rectangle

3.2.10.1. 2 sets of para with the same length

3.2.10.2. 2 sets of prep

3.2.11. rhombus

3.2.11.1. 2 sets of parallel

3.2.11.2. all sides lengths are equal

3.2.12. parallelogram

3.2.12.1. 2 sets of parallel

3.2.12.2. with the same length

3.2.13. trapezod

3.2.13.1. 1 set of parallel

3.3. Quadratic

3.3.1. parabola

3.3.1.1. follows a parabolic motion

3.3.1.1.1. start at the vertex move 1 unit to the right each time then follows the step - pattern

3.3.2. standard form:y=ax2+bx+c

3.3.3. factor form :y =a(x+-s)(x+-r)

3.3.4. vertex form: y= a(x-h)2+k

3.4. Trigonometry

3.4.1. almost the same

3.4.1.1. similar trangies

3.4.1.1.1. all angles are the same

3.4.1.1.2. side length different

3.4.2. Z shape

3.4.2.1. atternating angle

3.4.2.2. same

3.4.3. F shape

3.4.3.1. corresponding angles

3.4.3.2. same anle

3.4.4. C shape

3.4.4.1. interior angle

3.4.4.2. sum =180

3.4.5. sin=opp/hyp

3.4.5.1. CSCΘ=hyp/opp 1/sinΘ

3.4.6. cos=adj/hyp

3.4.6.1. SECΘ=hyp/adj 1/cosΘ

3.4.7. tan=opp/adj

3.4.7.1. COTΘ=adj/opp 1/tanΘ