KS3 Maths

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Initial learning for this qualification will enable learners to…

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KS3 Maths
1 NUMBER
1.1 Number operations & integers
1.1.1 Written & Mental Calculation

Annotations:

  • http://www.ocr.org.uk/Images/174206-topic-1.01-calculations-with-integers.pdf
1.1.1.1 4 RULES
1.1.2 Classify numbers

Annotations:

  • http://www.ocr.org.uk/Images/174208-topic-1.02-whole-number-theory.pdf
1.1.2.1 Definitions & Terms
1.1.2.2 Prime numbers
1.1.2.3 HCF & LCM
1.1.3 BIDMAS

Annotations:

  • http://www.ocr.org.uk/Images/174209-topic-1.03-combining-arithmetic-operations.pdf
1.1.4 Inverse operations

Annotations:

  • http://www.ocr.org.uk/Images/174210-topic-1.04-inverse-operations.pdf
1.2 Fractions Decimals & %
1.2.1 Fractions

Annotations:

  • http://www.ocr.org.uk/Images/174211-topic-2.01-fractions.pdf
1.2.1.1 Equivalence/simplify
1.2.1.2 4 rules
1.2.1.3 Fraction of quantity
1.2.2 Decimals

Annotations:

  • http://www.ocr.org.uk/Images/206506-topic-2.02-decimal-fractions.pdf
1.2.2.1 equivalence with fractions & %
1.2.2.2 4 rules
1.2.3 Percentages

Annotations:

  • http://www.ocr.org.uk/Images/206507-topic-2.03-percentages.pdf
1.2.3.1 % of quantities
1.2.3.2 convert to F or D
1.2.3.3 % change
1.2.4 Ordering

Annotations:

  • http://www.ocr.org.uk/Images/206508-topic-2.04-ordering-fractions-decimals-and-percentages.pdf
1.2.4.1 Symbols <, >, = etc
1.2.4.2 integers fractions decimals & %
1.3 Indices
1.3.1 Standard Form

Annotations:

  • http://www.ocr.org.uk/Images/206511-topic-3.02-standard-form.pdf
1.3.1.1 Interpret & order
1.3.1.2 Use calculator
1.3.2 Exact calculations

Annotations:

  • http://www.ocr.org.uk/Images/206512-topic-3.03-exact-calculations.pdf
1.3.2.1 Use fractions in exact calculations without a calculator
1.3.3 Powers & Roots

Annotations:

  • http://www.ocr.org.uk/Images/206509-topic-3.01-powers-and-roots.pdf
1.3.3.1 Index notations
1.3.3.2 Calculation
1.3.3.3 Basic laws of indices
1.4 Approximation & Estimation

Annotations:

  • http://www.ocr.org.uk/Images/206513-topic-4.01-approximation-and-estimation.pdf
1.4.1 Rounding
1.4.2 Estimation
1.5 Ratio, Proportion & rates of change
1.5.1 Calculations

Annotations:

  • http://www.ocr.org.uk/Images/206514-topic-5.01-calculations-with-ratio.pdf
1.5.1.1 Equivalent/Simplify
1.5.1.2 Division
1.5.1.3 interpret a ratio as a fraction of a whole
1.5.1.4 Solve ratio & proportion problems eg adapt recipies
1.5.2 Direct & Inverse proportion
1.5.3 Growth & Decay
2 ALGEBRA
2.1 Graphs of equations & functions
2.1.1 Straight line graphs
2.1.1.1 find and interpret the gradient & intercept using y = mx+c
2.1.2 Graphs of equations & functions
2.1.2.1 x & y coordinates
2.1.2.2 graphs of equations & functiions
2.1.2.3 recognise & sketch graphs of simple linear and quadratic functionss
2.1.3 Interpreting Graphs
2.1.3.1 real world context eg distance-time, money or temp conversion
2.1.3.2 interpret relationship between gradient & ratio
2.2 Algebraic Expressions
2.2.1 Expressions
2.2.1.1 Simplify
2.2.1.1.1 collect like term
2.2.1.1.2 multiply & divide
2.2.1.2 terminology
2.2.1.3 multipy out brackets
2.2.1.4 factorise single brackets
2.2.2 formulae
2.2.2.1 substitution
2.2.2.2 change the subject/rearrange
2.2.2.3 use standard formulae e.g area, circumference etc
2.2.2.4 Kinematics formulae ???
2.2.3 Equation
2.2.3.1 linear equations with one unknown
2.2.3.2 approximate solutions using a graph
2.2.4 Inequalities
2.2.4.1 inequalities in one variablee
2.2.5 Functions
2.2.5.1 interpret functions with inputs and outputs
2.2.6 Sequences
2.2.6.1 generate terms of a sequence
2.2.6.2 special sequences , eg square, cube, triangular numbers etc
3 SHAPE
3.1 Basic Geometry
3.1.1 Conventions, Notations & Terms
3.1.1.1 Angles
3.1.1.2 Polygons
3.1.1.3 3D Shapes eg faces edges vertices etc
3.1.1.4 for 2D & 3D shapes
3.1.1.5 draw diagrams from descriptions
3.1.1.6 x & y coordinates
3.1.2 Angles facts
3.1.2.1 at a point
3.1.2.2 on a line
3.1.2.3 parallel lines
3.1.2.4 in polygons
3.1.3 properties of polygons
3.1.3.1 triangles
3.1.3.2 quadrilaterals
3.1.3.3 symmetry
3.1.4 circles
3.1.4.1 Terms: centre, radius, chord, diameter and circumference.
3.2 Congruence & Similarity
3.2.1 Transformations
3.2.1.1 reflection
3.2.1.2 rotation
3.2.1.3 translation
3.2.2 Congruence
3.2.2.1 identify congruent triangles
3.2.3 Similarity
3.2.3.1 identify similar triangles
3.2.3.2 enlargement
3.2.3.3 compare lengths etc
3.3 Mensuration
3.3.1 Units & Measurement
3.3.1.1 convert lengths area volume etc
3.3.1.2 compound units eg speed
3.3.1.3 maps & scale drawings
3.3.2 Perimeter

Annotations:

  • http://www.ocr.org.uk/Images/222128-topic-10.02-perimeter-calculations.pdf
3.3.2.1 rectilinear
3.3.2.2 circumference
3.3.2.3 composite shape
3.3.3 Area
3.3.3.1 triangle
3.3.3.2 parallelogram
3.3.3.3 trapezium
3.3.3.4 circle
3.3.3.5 composite shapes
3.3.4 Volume & Surface Area
3.3.4.1 cubeoids and right prisms
4 DATA
4.1 Probability
4.1.1 Basic Probaability & Experiments
4.1.1.1 probability scale
4.1.1.2 relative frequency
4.1.1.3 relative frequency as estimate
4.1.1.4 equally likely ouutcomes
4.1.2 Combined Events & Probability Diagrams
4.1.2.1 sample space
4.1.2.2 systematic lists
4.1.2.3 Venn diagrams & sets
4.1.2.4 addition law, all adds up to 1
4.2 Statisitics
4.2.1 Interpreting & representing data
4.2.1.1 frequency tables, bar, pie charts, pictograms for ungrouped discrete data
4.2.1.2 recognise graphical misrepresentation
4.2.1.3 plot and interpret scatter diagrams
4.2.1.3.1 correlation
4.2.1.4 outliers
4.2.2 Analysing Data
4.2.2.1 summary statistics: mean mode median and range

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