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

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

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

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)

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

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

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

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

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

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.

Learning Objectives:- Simplify algebraic expressions by collecting like terms (adding and subtracting) Expanding brackets Take out common factors to factorise Factorising and expanding quadratics

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

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

Learning Objectives:-­‐ • Describe the probability of an event occurring using probability words • Use a probability scale • Theoretical Probability and Mutually exclusive events • Relative frequency • Enumerate sets and combinations of sets systematically, using tables and grids • Record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency tress (probabilities as fractions, decimals or percentages) • Enumerate sets and combinations of sets systematically, using Venn Diagrams

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

Learning Objectives: - Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results

Learning Objectives:- To find a bearing from A to B To find a return bearing from B to A To understand the points on a compass and the angles of each point To use scale to work out distance from one bearing to another

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

Learning Objectives:- Know and use Pythagoras’ Theorem for right-angled triangles.

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