BTEC International Level 3 Unit 7 (Calculus to Solve Engineering Problems) — 60 Guided Learning Hours.
Assessment criteria
Reproduced verbatim from the Pearson specification — the same grid the assignment brief carries. A unit grade is the highest band where all criteria in that band (and every band below it) are met.
Pass
8 criteriaA.P1You have successfully found the first and second derivatives for each type of given routine function.
A.P2You have successfully found, graphically and analytically, at least two gradients for each type of given routine function.
A.P3You have successfully found the turning points for given routine polynomial and trigonometric functions.
B.P4You have successfully found the indefinite integral for each type of given routine function.
B.P5You have successfully found the numerical value of the definite integral for each type of given routine function.
B.P6You have successfully found, using numerical integration and integral calculus, the area under curves for each type of given routine definitive function.
C.P7Define a given engineering problem and present a proposal to solve it
C.P8Solve, using calculus methods and a mathematical model, a given engineering problem
Merit
4 criteriaA.M1You have successfully found accurately the graphical and analytical differential calculus solutions and, where appropriate, turning points for each type of given routine and non-routine function and compare the results.
B.M2You have successfully found accurately the integral calculus and numerical integration solutions for each type of given routine and non-routine function and find the properties of periodic functions.
C.M3Analyse an engineering problem, explaining the reasons for each element of the proposed solution
C.M4Solve accurately, using calculus methods and a mathematical model, a given engineering problem.
Distinction
3 criteriaA.D1You have successfully evaluated, using technically correct language and a logical structure, the correct graphical and analytical differential calculus solutions for each type of given routine and non-routine function, explaining how the variables could be optimised in at least two functions Well done on a fantastic piece of work. A clear and consistent understanding of differentiation and its uses throughout. Learner Declaration - I certify that the evidence submitted for this assignment is my own. I have clearly referenced any sources and any artificial intelligence (AI) tools used in the work. I understand that false declaration is a form of malpractice. Learner signature Kevin Yanny Date 05/05/2025 Assessor declaration – I declare that the work submitted for assessment has been carried out without assistance other than that which is acceptable according to the rules of the specification. I certify that to the best of my knowledge the evidence submitted for this assignment is the learner’s own. The learner has clearly referenced any sources and any AI tools used in the work. I have not solely used AI to mark learner’s work. I understand that false declaration is a form of malpractice. Assessor signature Umah Ahmed Date 05/05/2025 Date of feedback to learner – this must be within a timely period of the assessment taking place and after internal verification has taken place. 05/05/2025 By signing the above declaration, you agree to your work and/or image (if featured in recorded and/or photographed files) to be used by Pearson or other Pearson group companies for: (delete if not consenting to some of the following) • professional development, online support, and training of Centre Assessors • support and training for Pearson Examiners/Moderators • published resources • marketing materials Your personal details will be kept in accordance with GDPR, if you have any concerns regarding this, please contact us via the Pearson Contact Portal.
B.D1You have successfully evaluated, using technically correct language and a logical structure, the correct integral calculus and numerical integration solutions for each type of given routine and non-routine functions, including at least two set in an engineering context. Well done on a fantastic piece of work. A clear and consistent understanding of integration and its uses throughout. Learner Declaration - I certify that the evidence submitted for this assignment is my own. I have clearly referenced any sources and any artificial intelligence (AI) tools used in the work. I understand that false declaration is a form of malpractice. Learner signature Kevin Yanny Date 05/05/2025 Assessor declaration – I declare that the work submitted for assessment has been carried out without assistance other than that which is acceptable according to the rules of the specification. I certify that to the best of my knowledge the evidence submitted for this assignment is the learner’s own. The learner has clearly referenced any sources and any AI tools used in the Assessor signature Umah Ahmed Date 05/05/2025 work. I have not solely used AI to mark learner’s work. I understand that false declaration is a form of malpractice. Date of feedback to learner – this must be within a timely period of the assessment taking place and after internal verification has taken place.
C.D3Critically analyse, using technically correct language and a logical structure, a complex engineering problem, synthesising and applying calculus and a mathematical model to generate an accurate solution.
Command verbs in this unit
The verb decides the depth expected — that is what separates Pass from Merit and Distinction work on the same learning aim.
YouDefineSolveAnalyseCritically
Pearson's ladder runs Identify → Describe → Explain → Compare / Analyse → Evaluate / Justify / Assess. A Merit or Distinction criterion on the same aim always implies the Pass beneath it: an “evaluate” answer that never first “explains” fails, however polished it reads. Hover a verb for what it demands.
Criteria and aim text reproduced for teacher reference from the official Pearson qualification documentation (Pearson BTEC International Level 3 Qualifications). BTEC is a registered trademark of Pearson Education Limited. checkb.tech is an independent tool — not affiliated with, endorsed by, or sponsored by Pearson. It never awards a grade; the teacher stays the assessor.