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

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

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

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:- • Solve linear equations with one unknown on one side • Derive equations from geometric and other forms of problem • Solve two linear simultaneous equations in two variables algebraically

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

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

Learning Objectives:-­‐ Use and interpret scatter graphs Line of best fit Outliers

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