Core 1 Scheme Of Work Essay

Submitted By DritS
Words: 1002
Pages: 5
Open Document
Core 1 Scheme of Work

Lesson (Guidance only)
Specification – What students need to learn:
Resources
1 Algebra & functions
1.1 The rules of indices
Laws of indices for all rational exponents. The equivalence of and should be known.
1.1 Algebraic Expression Ext Qs

1.2 Indices & Surds

Use and manipulation of surds.

1.3 Rationalising the denominator

Students should be able to rationalise denominators.
1.3 Surds & Indices Ext Qs

1.4 Factorising

Algebraic manipulation of polynomials, including expanding brackets and collecting like terms, factorisation. Students should be able to use brackets. Factorisation of polynomials of degree n, n ≤ 3, eg .The notation f(x) may be used. (Use of the factor theorem is not required.)

2 Quadratic Functions
2.1 Solving quadratic equations by factorisation
Solution of quadratic equations. Solution of quadratic equations by factorisation and completing the square.
CHE Lesson, Printouts
2.1 Quadratic Equations (Example)
2.1 Quadratic Equations Ext Qs Answers
Ext. Find all real numbers such that

2.2 The quadratic formula and its discriminant
… use of the formula and the discriminant of a quadratic function.
CHE Lesson, Printouts
GeoGebra Resource

2.3 Sketching quadratics and the discriminant
Quadratic functions and their graphs.
The discriminant of a quadratic function.
CHE Lesson, Printouts
Emphasise the teaching of the discriminant. You could use Qs 6 to 9 from:
C1 Solomon Worksheet Algebra G
C1 Solomon Worksheet Algebra G Solutions

3 Equations & inequalities
3.1 Solving linear simultaneous equations
Simultaneous equations: analytical solution by substitution.
CHE Lesson, Printouts
Extension questions involving simultaneous equations with three unknowns are on the 3.2 resource below

3.2 Solving non-linear simultaneous equations
For example, where one equation is linear and one equation is quadratic.
CHE Lesson, Printouts
3.2 Simultaneous Equations (Example)
3.2 Simultaneous Equations Ext Qs

3.3 Quadratics inequalities
Solution of linear and quadratic inequalities. For example, , ,.
CHE Lesson, Printouts

3.4 The discriminant
Edexcel frequently ask questions such as:

The equation x2 + kx + 8 = k has no real solutions for x.
(a) Show that k satisfies k2 + 4k – 32 < 0.
(b) Hence find the set of possible values of k.
CHE Lesson, Printouts
SMP Inequalities and the discriminant

Quadratic Inequalities and the discriminant worksheet Answers

Chapters 1 to 3 Algebra Homework
CHE HW Solutions

Chapters 1 to 3 Algebra Test, [Mark Scheme]
4 Sketching Curves
4.1 Sketching cubics
Graphs of functions; sketching curves defined by simple equations. Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.

4.2 Reciprocal graphs
Functions to include simple cubic functions and the reciprocal function with .
Knowledge of the term asymptote is expected.

4.3 Transformation of graphs
Knowledge of the effect of simple transformations on the graph of y = f(x) as represented by y = af(x), y = f(x) + a, y = f(x + a), y = f(ax).
Students should be able to apply one of these transformations to any of the above functions (quadratics, cubics, reciprocal) and sketch the resulting graph.
Given the graph of any function y = f(x) students should be able to sketch the graph resulting from one of these transformations.
4.3 Limits & asymptotes (Example)

4.3 Limits & asymptotes Ext Qs

4.4 Review

5 Coordinate geometry in the (x, y) plane
5.1 Finding the equation of a line given it’s gradient and a coordinate
Equation of a straight line, including the forms and .
CHE Lesson, Printouts

5.2 Finding the equation of a line given two coordinates
… the equation of a line through two given points
CHE Lesson, Printouts

5.3 Perpendicular gradients and review
…the equation of a line parallel (or perpendicular) to a given line through a given point. For example, the line perpendicular to the line through the point
(2, 3) has equation
Show More

Related Documents: Core 1 Scheme Of Work Essay

Essay on Everything: Foster Care and Child Protection

for all 0-6 Years Children, pregnant and Lactating Women every month. Referral services : Severely malnourished Children and at Risk mothers will be referred to doctor to every month. Boys Girls Contd.2. ::2:: Institutions Children Homes : 1) Anantapur 2 ) Dharmavaram 3) Hindupur Women Institutions : Service Home, Anantapur Sanctioned strength Women : : 30 : 07 : Children 150 26 Adoption No.of abandoned children in Sishugruha No.of children given adoption DOMESTIC VIOLENCE ACT…

Words 734 - Pages 3

NT1330 Unit 1 Assignment 1: A Case Study

indexing into BHT is a hint, aliasing is not considered to be a serious problem. B. Simulation Environment: The DBP algorithms were written in C++ language and was build using GNU g++ compiler Release 3.4 under CentOS Release 4.8 linux in a Pentium Core i3 based machine environment, with Flex and Bison installed. The same code has also been used to build binary under Windows 7 environment, using Bloodshed Developer C++ (DevC++) and Cygwin environment. Further tuning will yield superior performance…

Words 1165 - Pages 5

Rationalising a Scheme of Work for Teaching and Learning Essay example

education institution in which I work. The foundation degree is delivered in collaboration with a higher education institution. There are fourteen modules on the course and I teach on up to ten of these modules over a two year programme of study. The course is delivered through a blended learning approach, encompassing both face-to-face and online ‘Moodle’ sessions, the latter being the name for the college’s virtual learning environment. The scheme of work (Appendix 1, pp8-15) that I have chosen…

Words 2342 - Pages 10

Essay Unit 4 Assignment 1

Baldeo Persaud NT 1210 Unit 4 Assignment 1 Define Key Terms: Electrical circuit: A network consisting of a closed loop, giving a return path for the current. Frequency: The number of occurrences of a repeating event per unit time. Amplitude: The objective measurement of the degree of change (positive or negative) in atmospheric pressure (the compression and rarefaction of air molecules) caused by sound waves. Phase: Refers to different places on the sine-wave curve. Normally, the graph of voltage…

Words 407 - Pages 2

Flexible Working Time System

developing work practices and human resource policies that support work-life balance wherever possible. The University seeks to offer staff alternative working patterns that will help them to strike a balance between paid work and personal life. While some roles within Faculties and Centres are less adaptable to the Flexible Working Time (FWT) System outlined below, the aims of the flexible working policy are to improve the working conditions of staff by better enabling them to combine their work and personal…

Words 1535 - Pages 7

Level 2 ESC Specification 577 1 Essay

in Essential Skills – Communication Specification from September 2009 CCEA is Northern Ireland’s own awarding body. We offer a wide range of high quality academic and vocational qualifications, which are accredited by the Regulatory Authorities. We work with our centres to reward learning and specifically, through our Essential Skills qualifications we are committed to rewarding the achievements of adult learners. Tutors, centres and learners should note that CCEA may use extracts from learners’…

Words 5258 - Pages 22

Essay on Planning to meet the needs of Learners in Education and Training - CET

Assignment 2 Sarah Brown Planning to meet the needs of Learners in Education and Training Part 1 A According to The Excellence Gateway (accessed 12/7/14) “initial assessment and diagnostic assessment is needed for each learner in order to find a starting point, or baseline for learning. It makes possible development of the learning plan”. Initial assessment and diagnostic tools can serve two purposes, firstly to assess potential students’ academic ability in relation to national standards. This will…

Words 1967 - Pages 8

Essay on Job Characteristics Model

execute at a high level, so good presentation becomes self-reinforcing. [pic] Core Job Dimensions Any job has five core dimensions that influence intrinsic motivation, according to the job…

Words 1011 - Pages 5

Ireland's Parenting Plan, Building Brighter Futures

Service/Sub-Division: JOB TITLE: Principal Practitioner Parenting JEM No: 3832 GRADE: REPORTS TO : Team Manager /Business Manager 1. PURPOSE OF JOB: As set out in the Children’s Plan , Building Brighter Futures, this post will lead on the implementation of Lincolnshire’s Parenting Plan 2. MAIN RESPONSIBILITIES, TASKS & DUTIES i. Work with delivery partners to implement Lincolnshire’s Parenting Plan engaging children’s and adults services so that the logic of the Every Child…

Words 1582 - Pages 7

Common Core Outline

Getter: Common core is supposed to help students be prepared for college. But the reality behind common core is that it only hurts students. Some students unfortunately were taught through common core all the way from kinder through 12. Others were affected between those grades due to school changing to common core. As stated on TFP Student Action.com “common core is a socialist/progressive experiment that will impose an inflexible, one-size-fits-all, egalitarian education scheme on America’s children”…

Words 1119 - Pages 5