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

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

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:- 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:- • 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

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