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8
Freya McEwan
@freyamcewan_ywnx
·
1 Follower
Follow
A comprehensive guide to nat 5 maths topics covering standard deviation, scientific notation, and geometric concepts.
Key topics covered include:
16/11/2022
719
This section covers the conversion of numbers to scientific notation format.
Definition: Scientific notation expresses numbers in the form a × 10ⁿ, where 1 ≤ a < 10 and n is an integer.
Highlight: Scientific notation and standard form are equivalent terms.
Example:
A detailed guide to completing the square steps and methodology.
Formula: The general form is (x + a)² + b
Example: Converting x² + 10x + 7 to completed square form:
An explanation of significant figures in numerical representation.
Definition: Significant figures are digits that carry meaningful value in a number.
Example:
Highlight: Every digit except leading and trailing zeros is significant.
Detailed coverage of simplifying algebraic fractions.
Definition: Algebraic fractions can be simplified by canceling common factors in numerator and denominator.
Example: Simplifying complex fractions like (x-2)/6x = (x+1)/2x
Comprehensive guide to operations with algebraic fractions.
Highlight: The process follows the same principles as regular fraction operations.
Example: Detailed solutions for combining fractions with different denominators.
Guide to expanding algebraic expressions.
Rule: Multiply each term inside the bracket by the term outside.
Example:
Comprehensive coverage of circular geometry calculations.
Formula:
Example: Calculating arc length for a 14° sector with diameter 8cm.
Vocabulary:
This section introduces the fundamental concepts of variance and standard deviation.
The standard deviation formula is presented as: S.D = √[(Σ(x-x̄)²)/(n-1)]
Definition: Standard deviation measures the spread of data points from their mean value.
Example: A detailed calculation using school absentee data (32, 29, 33, 33, 38) demonstrates the step-by-step process of finding standard deviation.
Vocabulary:
56
3747
11/10
foundation mock exam revision list
paper 1 non calculator
6
437
10/11
higher tier PI Revision non calculator
Solving inequalities and working out the area of a quarter circle with radius 8cm in terms of TT for mock exams.
9
279
11/10
Simplifying algebraic fractions
Includes exercises simplifying algebraic fractions
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
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Freya McEwan
@freyamcewan_ywnx
·
1 Follower
Follow
A comprehensive guide to nat 5 maths topics covering standard deviation, scientific notation, and geometric concepts.
Key topics covered include:
This section covers the conversion of numbers to scientific notation format.
Definition: Scientific notation expresses numbers in the form a × 10ⁿ, where 1 ≤ a < 10 and n is an integer.
Highlight: Scientific notation and standard form are equivalent terms.
Example:
A detailed guide to completing the square steps and methodology.
Formula: The general form is (x + a)² + b
Example: Converting x² + 10x + 7 to completed square form:
An explanation of significant figures in numerical representation.
Definition: Significant figures are digits that carry meaningful value in a number.
Example:
Highlight: Every digit except leading and trailing zeros is significant.
Detailed coverage of simplifying algebraic fractions.
Definition: Algebraic fractions can be simplified by canceling common factors in numerator and denominator.
Example: Simplifying complex fractions like (x-2)/6x = (x+1)/2x
Comprehensive guide to operations with algebraic fractions.
Highlight: The process follows the same principles as regular fraction operations.
Example: Detailed solutions for combining fractions with different denominators.
Guide to expanding algebraic expressions.
Rule: Multiply each term inside the bracket by the term outside.
Example:
Comprehensive coverage of circular geometry calculations.
Formula:
Example: Calculating arc length for a 14° sector with diameter 8cm.
Vocabulary:
This section introduces the fundamental concepts of variance and standard deviation.
The standard deviation formula is presented as: S.D = √[(Σ(x-x̄)²)/(n-1)]
Definition: Standard deviation measures the spread of data points from their mean value.
Example: A detailed calculation using school absentee data (32, 29, 33, 33, 38) demonstrates the step-by-step process of finding standard deviation.
Vocabulary:
Maths - foundation mock exam revision list
paper 1 non calculator
56
3747
2
Maths - higher tier PI Revision non calculator
Solving inequalities and working out the area of a quarter circle with radius 8cm in terms of TT for mock exams.
6
437
0
Maths - Simplifying algebraic fractions
Includes exercises simplifying algebraic fractions
9
279
0
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
