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Mathematics

AQA Entry Level Maths: Unit 1 Properties of Number
Unit 1: Properties of Number PPT
PPT which covers all the topics in Unit 1 of the AQA Entry Level Qualification (Level EL1 - ELC3)

Congruence & Similarity
Learning Objectives:-
Apply the concepts of congruence and similarity
Use the basic congruence criteria for triangles

Trigonometry
Learning Objectives:-
Know and use trigonometric ratios for right-angled triangle to:-
Find the length of a missing side
Find the size of a missing angle

Properties of Polygons
Learning Objectives:-
Derive and apply properties of polygons (and know their names)
Correctly use geometrical terms, label triangle sides and angles and draw diagrams from written descriptions
Calculate interior and exterior angles in regular polygons
Identify lines or symmetry and rotational symmetry order

Histograms
Learning Objectives:-
Construct and interpret histograms with equal class widths (for grouped discrete as well as continuous data)
Construct and interpret histograms with unequal class widths (for grouped discrete as well as continuous data)

Sampling & Population
Learning Objectives:-
Apply statistics to describe a population
Infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling
Use measures of central tendency and measures of spread to interpret, analyse and compare the distributions of data sets

Area & Perimeter of Regular & Composite Shapes
Learning Objectives:-
Calculate the perimeter of shapes
Calculate the areas of Rectangles, Triangles and Parallelograms
Calculate the areas of Trapeziums, Rhombus and Kites
Calculate the area of composite shapes

Circles
Learning Objectives:-
• Describe the parts of a circle, including tangent, arc, sector, segment, centre, radius, chord, diameter, circumference
• Recall and use the formula for the area & circumference of a circle
• Calculate arc lengths and the angles and areas of sectors of circles

Angles & Constructions
Learning Objectives:-
Know angle types, label triangle sides and angles
Apply properties of quadrilaterals to know their names and find missing angles
Apply the properties of angles at a point, angles on a straight line, vertically opposite angles, alternate angles and corresponding angles
Use the standard ruler and compass constructions to construct a 60° angle, a perpendicular bisector, a perpendicular to a given line from/at a given point, and an angle bisector

Loci, Plans & Elevations
Learning Objectives:-
Use constructions to solve loci problems
Construct and interpret plans and elevations for 3-D shapes.

Decimals & Standard Form
Learning Objectives:-
Understanding the place value of decimals
Multiply decimals using written methods
Divide decimals using written methods
Add and Subtract decimals using written methods
Rounding to decimal places or significant figures
Estimate Answers
Understand and use standard form for very large and very small numbers

Vectors & Transformations
Learning Objectives:-
How to generate a Vector, and Add and Subtract vectors
Consider transformations rotation, reflection, translation and enlargement (including fractional scale factors)

Operations, Estimation & Checking Calculations
Learning Objectives:-
Understand the relationships between operations e.g. inverse operations
Estimate answers)
Check calculations using approximation and estimation (including using technology

Percentages
Learning Objectives:-
a) To understand how to use fractions to find percentages
b) Convert Fractions to Percentages
c) Find a percentage of an amount
d) Solve problems involving percentage increase and decrease
e) Simple and Compound Interest

Fractions
Learning Objectives:-
o Add and subtract fractions including improper fractions and mixed numbers.
o Multiply and Divide fractions

Changing the Subject, Formulae & Substitution
Learning Objectives:-
Change the subject of a formula
Write simple formulae or expressions from a problem
Substitute numerical values into formulae and expressions, including scientific formulae

Integers
Learning Objectives:-
• Recognising place value
• Ordering whole numbers
• Recall all positive integer complements to 100
• Understanding place value and round to a given power of 10
• Round to the nearest integer
• Round to a given number of decimal places
• Estimate answers to problems involving decimals
• Round a number to one significant figure

Straight-line Graphs
Learning Objectives:-
Be able to name and draw horizontal and vertical equations
Be able to draw an equation onto axis using the table method
Identify and interpret gradients and intercepts of linear functions, both algebraically and graphically.

Cumulative Frequency, Box Plots & Comparing Distributions
Learning Objectives:-‐
Construct and interpret cumulative frequency
diagrams (for grouped discrete as well as
continuous data)
Interpret and construct box plots
Use measures of central tendency and measures
of spread to interpret, analyse and compare the
distributions of data sets

Indices
Learning Objectives:-
Simplify expressions involving sums, products and powers, including using index laws
Calculate with negative and fractional indices