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MATHS PAPER 2 (GRADE 10), Exams of Educational Mathematics

Rhodes UniversityEducational Mathematics

MATHS PAPER 2 (GRADE 10) STUDY GUIDE

Typology: Exams

2024/2025

Available from 11/25/2024

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LectNexus 🇿🇦

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MATHS PAPER 2 (GRADE 10)
Angle of depression -
Bar graph -
Angle of elevation -
Hypotenuse - Always across(opposite) 90 degrees
Usually abbreviated using the symbol 'r'
Reciprocal of sign
Opp/hypot - Cosec
Hypot/opp
Reciprocal of cos
Adj/hypot - Sec
Hypot/ adj
Reciprocal of tan
Opp/ adj - Cot
Adj/opp
Rationalizing the denominator - Taking the square root out of the denominator
Asymptote - Graph that get impossible close to.... But it never gets to ...
If A gets bigger...
(Amplitude) - Graph gets steeper
If A gets smaller...
(Amplitude) - Graph gets flatter
Q - Translates graphs up or down how many units
Angle A is and angle when they give us small 'a' is 42.7 m this means that a is -
Opposite side of angle A
AAA - You will only ever see in similarities!
Not congruent
Opposite - The side opposite the GIVEN (theta) angle (reference angle)
Adjacent - The side next to the GIVEN (theta) angle
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MATHS PAPER 2 (GRADE 10)

Angle of depression - Bar graph - Angle of elevation - Hypotenuse - Always across(opposite) 90 degrees Usually abbreviated using the symbol 'r' Reciprocal of sign Opp/hypot - Cosec Hypot/opp Reciprocal of cos Adj/hypot - Sec Hypot/ adj Reciprocal of tan Opp/ adj - Cot Adj/opp Rationalizing the denominator - Taking the square root out of the denominator Asymptote - Graph that get impossible close to.... But it never gets to ... If A gets bigger... (Amplitude) - Graph gets steeper If A gets smaller... (Amplitude) - Graph gets flatter Q - Translates graphs up or down how many units Angle A is and angle when they give us small 'a' is 42.7 m this means that a is - Opposite side of angle A AAA - You will only ever see in similarities! Not congruent Opposite - The side opposite the GIVEN (theta) angle (reference angle) Adjacent - The side next to the GIVEN (theta) angle

(Reference angle) In trigonometry try and get - Unknown/ known Because then it's easy to get unknown value The values of the ratio stay........ If the angles does not change - The same soh - cah - toa - Silly old hippos can ample happily to other areas - To find trigonometry ratios for any angle make sure your calculator is on DEG NOT ON RAD OR GRAD - Special angles - 0, 30, 45 60 90 Amplitude - The distance from the xbaxis to the maximum value Period - The # of degrees the curve takes to repeat itself Range - Set of y values Decreasing function - When y value gets smaller as x or theta get bigger Sin graph - Y=sinø Max: 1 Min.: Sinø: positive = 0<ø< Period 360 Range -1<y<1 (equal toot greater/less than)decreasing function 90<ø< Cos graph - Max: 1 Min:- Period 360 Amplitude 1 Range -1<y< Decreasing function 0<ø< Tan graph - NO MAX OR MIN verticals asymptote : ø=90& ø= Period 180 += 0<ø<90 & 180<ø<

Isosceles trapezium - Trap with non parallel sides = Trap with equal diagonals Trapezium - Only one pair of parallel sides = Kite - 2 pairs of adjacent sides = Longer diagonal bisects shorter at 90 Parallelogram - Both prs opp sides= Both pr opp side || 1 pr opp sides equal and parallel Diagonals bisect each other Rhombus - Parm with a pr of adjacent sides = Diag bisect at 90 Perpendicular diagonals Quad with all sides = Equiangular triangles are - discrete data - Data that can only have definite values and are usually collected by counting objects Continuous data - Data that can have any value at are collected by measurement Height Weight Time Measure of central tendency - When the middle is Measures of dispersion - Shows how spread out data is N= - Total number of data values F - Frequency of a particular data Weird Ę sign that looks like a side ways w - Sum of X with a dash in top - Mean Cumulative frequency - The running total of frequencies Interquartile range - Diff between 3rd and 1st quartile a Colinear -

Semi- interquartile - Half the difference between 3rd and 1st Measure of centeral tendency - A measure of centeral tendency is a value that represents typical item in a set of data Mean - Influenced by outliers Median - Not affected by outliers Quantitative COUNTING (Discreet) - Numerical data that can be counted or measured Pupils on a bus each morning Quantitative MEASURING (continuous) - Height Converse of mid point Therom - Relationship between two variables - rectangle - Diagonals bisect (cut in half) each other Percentiles - Divided into 100