Uploaded by Shri Nagendram

Y11 Mathematics Assessment Week May 2023 Information.docx

advertisement
Y11 Mathematics Assessment Week May 2023 Information
Here is the information for Assessment Week, including a topic list and the equipment
required. In the time leading up to the assessment, your teacher will dedicate lessons to
revision. However, we recommend that you begin revision before then, firstly identifying the
topics that you need to revise the most.
With a subject like Mathematics, we advise you to revise in frequent, small chunks. A
suggestion is to include three extra 20-30 minute mathematics revision sessions into your
weekly routine. The first could be recapping the material learnt in class that past week, the
second could be choosing something from the previous unit and the third is revising a topic
from an earlier Y10 or Y11 unit.
Assessment Week Content for Mathematics
Prior Knowledge (covered in Y10 or before)
Numerical and abstract reasoning
● Solving linear equations:
○ with unknowns on both sides
○ with fractions
● Expanding and factorising linear and quadratic expressions
● Solving quadratic equations by factorising and with the formula
● Solving simultaneous equations by elimination, substitution and with the GDC
● Manipulating surds
● Direct and inverse proportion, percentage error
● Use the nth term to find a specific term (substitute values into formula)
● Arithmetic Sequences:
○ Understanding what makes an arithmetic sequence (relating to positive and
negative common differences)
○ Find the nth term of an arithmetic sequence when given a set of numbers
○ Problem solving with arithmetic sequences (e.g. calculating whether a term is in
a given sequence)
Reasoning with data
● Representing data in different forms such as bar charts, box-plots, cumulative
frequency graphs, histograms
● Calculating and interpreting central tendencies and dispersion
● Finding the equation of a regression line and the Pearson correlation cefficient
● Simple probability problems
● Calculating the outcome of two independent events
● Calculating probabilities using relative frequency
● Use of tree diagrams, two-way tables
Spatial reasoning
● Calculating the circumference and area of circles
● Calculating arc lengths and sector areas given the formulae
● Solving problems involving manipulating the above formulae
● Using Pythagoras theorem
● Trigonometric ratios (SOH CAH TOA) for right-angled triangles to find missing lengths
and angles
● Using and manipulating the sine rule, cosine rule and the area of a triangle formulae
Thinking with models
● Straight line graphs:
○ plotting a graph in the form 𝑦 = 𝑚𝑥 + 𝑐
○ write down gradient and 𝑦 −intercepts from equation
○ find gradient and 𝑦 −intercepts from graph
○ find gradient and then the equation of a line given two points
● Recognising transformations of functions on a graph, such as translations, reflections
and stretches/compressions
● Domain and range of a function
● Identifying transformations of functions from the algebraic form of functions
● Quadratic Graphs - knowledge of the key characteristics, including domain and range,
vertex, roots
● Exponential Functions - solving problems involving exponential functions and
expressing an exponential relationship as a function
GDC skills
● All of the above topics enhanced with your calculator, for example drawing graphs and
math solver.
Additional EL topics:
● Inverse and composite functions
● Converting between exponential form and logarithmic form
● Applying the laws of logarithms to simplify expressions
● Logarithmic functions
● Conditional probability problems
● Trigonometric identities and equations
● Recognising sine and cosine functions on a graph and using them to solve real-life
problems
Equipment required:
● Stationary including pen, pencil, ruler, eraser.
● Graphical display calculator, such as the TI-84 Plus CE
● You will be given an MYP formula booklet in the exam (click the link for Standard or
Extended to remind you what formulas are on it)
Other information:
Revision materials, along with solutions, will be available on Managebac in Files in your
Mathematics class. Additionally, we recommend that you use your class notes and examples,
your textbooks and revision websites such as Khan Academy or Corbett Maths.
Topic
Solving linear equations
Expanding brackets
Factorising brackets
Solving simultaneous equations
Solving quadratic equations
Plotting a graph in the form 𝑦 = 𝑚𝑥 + 𝑐
Finding gradient and 𝑦 −intercepts from graph or
given two points
Direct and inverse proportion
Use the nth term to find a specific term of a sequence
Deciding if a sequence is arithmetic or geometric or
neither
Find the nth term of an arithmetic sequence
Problem solving with arithmetic sequences
Representing and interpreting data
Calculating central tendencies and dispersion
Using Pythagoras theorem to find missing sides
Using trigonometric ratios for right-angled triangles to
find missing lengths and angles
Current confidence Priority for
level (low/medium/ revision
high)
Using and manipulating the sine rule, cosine rule and
the area of a triangle formulae
Recognising sine and cosine functions on a graph and
using them to solve real-life problems (Extended only)
Solving simple probability problems
Calculating the outcome of two or more independent
events
Calculating probabilities using relative frequency
Making and using tree diagrams
Calculating the circumference and area of circles
Calculating arc lengths and sector areas given the
formulae
Recognising transformations of functions on a graph,
such as translations, reflections and stretches
Knowing key characteristics of quadratic functions,
including domain and range, vertex, roots
Solving problems involving exponential functions and
expressing an exponential relationship as a function
You can use your GDC to help you with problems
Download