Math Mindmap by BETTINA GOMEZ PAREDES

Unit 1 Number and Calculations

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1.1 Irrational numbers

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1.2 Standard Form

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1.3 Indices

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Unit 2

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2.1 Substituting into expressions

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2.2 Constructing Expressions

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2.3 Expressions and indices

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Unit 3

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2.4 Expanding the product of two linear expressions

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2.5 Simplifying algebraic fractions

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2.6 Deriving and using formulae

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3.1 Multiplying and dividing by powers of ten

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3.3 Understanding compound percentages

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3.2 Multiplying and dividing decimals

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3.4 Understanding upper and lower bounds

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Unit 4

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4.1 Constructing and solving equations

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4.2 Simultaneous equations

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4.3 Inequalities

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Unit 5

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5.1 Calculating Angles

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5.2 Interior angles of polygons

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5.3 Exterior angles of polygons

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5.4 Constructions

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5.5 Pythagoras' Theory

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Unit 6

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6.1 Data collection and sampling

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6.2 Bias

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Unit 7

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7.1 Circumference and area of a circle

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7.2 Areas of compound shapes

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7.3 Large and small units

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Types of numbers

avaldez_cu27 — 2023-02-22 16:32:50 UTC

Naturals 0, 1, 2, 3, 4...
Integers ... -3, -2, -1, 0, 1, 2, 3...
Rationals: numbers that can be written as a ratio (exept with the denominator as a 0)
Irrationals: numbers that can't be written as ratios

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avaldez_cu27 — 2023-02-22 16:40:20 UTC

To make numbers with a lot of 0's smaller you use standard form

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When the exponent on the ten is negative you move the decimal point to the left and when the exponent on the ten is positive you move the decimal point to the right.

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We learnt to analize alternative ways to choose a sample and to collect statistical data to make predictions

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avaldez_cu27 — 2023-02-22 16:46:17 UTC

We learnt that bias means a sample that is not represantative of the whole population

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Exponents can also be called indicies

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When a number has a negative exponent you write it as a fraction

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Remember:

for an increase, add the percentage on to 100%

for a decrease, subtract the percentage from 100%.

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avaldez_cu27 — 2023-02-23 18:46:41 UTC

P: parenthesis
E: exponents
M: multiplication
D: division
A: addition
S: substraction

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When you dont know the value of a number you can use a letter

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atamayocu27 — 2023-02-23 18:53:01 UTC

The method to work out the area is the same:

Divide the compound shape into simple shapes.
Work out the area of each simple shape.
Add or subtract the areas of the simple shapes to find the required area.

atamayocu27 — 2023-02-23 18:53:32 UTC

avaldez_cu27 — 2023-02-23 18:58:17 UTC

The number in the exponent indicates how many and where you move the decimal point

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avaldez_cu27 — 2023-02-24 14:38:43 UTC

atamayocu27 — 2023-02-24 14:44:10 UTC

Remember the inequality signs:

< means ‘is less than’

⩽ means ‘is less than or equal to’

> means ‘is greater than’

⩾ means ‘is greater than or equal to’

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avaldez_cu27 — 2023-02-24 15:07:05 UTC

atamayocu27 — 2023-02-24 15:07:24 UTC

atamayocu27 — 2023-02-24 20:02:58 UTC

- When you multiply powers of the same variable, you add the indices.
- When you divide powers of the same variable, you subtract the indices.
- When you simplify the power of a power, you multiply the indices.

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Unit 14

avaldez_cu27 — 2023-03-15 16:37:17 UTC