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Curriculum

Key Stage 4

Guru Nanak Sikh Academy
Key Stage 4 Curriculum Overview

Please click on the links below to view the Foundation Checklist and Higher Checklist

Foundation Checklist
Higher Checklist

Key Stage 4 Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2
Y10
(Foundation Course)
Big Picture

Topic : Fractions

Big Question: Why do you need to find a common denominator in order to add and subtract fractions?

When does multiplication/division by a fraction result in an answer greater than/less than the original number?

Topic: Decimals

Big Question: What’s the point?

When were negative numbers invented (…or discovered)?

What did people do before decimals?

Topic : Percentages

Big Question:

What influences the percentage of our brain that we use?

Where and how in real life is percentage increase and decrease commonly used?

Topic : Rounding, estimation & accuracy

Big Question: Why can estimation be useful?

Big Question:   

Why are base 2 numbers so important to technological changes?  

Topic: Powers & roots

Big Question Why are irrational numbers called surds?

Topic – Algebra

How can Algebra help us in the real world?

What comes first, the problem or the solution?

Topic : Formula

Where are simultaneous equations used outside of mathematics lessons?

 

Topic : Equations Big Question:

How many solutions does an equation have?

Is a calculator better than a brain?

Topic: Functions & Sequences

Big Question: How can establishing patterns in the natural world help in understanding relationships?

Topic: Angles

Big Question: What are degrees?  Who chose to use them and why?

Why are angles important in the construction of buildings?

Topic: Pythagoras’ Theorem

Big Question: Why is the diagonal length of a square not equal to its side length?

Topic: Trigonometry

Big Question:  there a relationship between the ratios of the sides of a right-angle triangle?

Why is the diagonal length of a square not equal to its side length?

Big Question:

Is there a relationship between the ratios of the sides of a right-angle triangle?

Topic: Transformations

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Mensuration

Big Question: Why do we need to measure length, area and volume? Who might want to use these? How does the volume of a quantity differ from its area?

Topic: Sampling & representing data

Big Question: How can we find information about a characteristic of a population?

Topic: Data Analysis

Big Question: How can we use the information we have collected about a population to make inference?

Topic: Probability

Big Question: Is there an effective way to find the unknown?

Topic: Ratio & Proportion

Big Question: What is “Golden Ratio”? How do architects and engineers make use of ratio and proportion?

Topic: Construction

Big Question: Do all shapes occur naturally?

What do all the radii of a circle have in common?

 

Y10
(Higher Course)
Big Picture

Topic: Fractions

Big Question: Why do you need to find a common denominator in order to add and subtract fractions? When does multiplication/division by a fraction result in an answer greater than/less than the original number?

Topic: Decimals 

Big Question: What’s the point?  When were negative numbers invented (…or discovered)? What did people do before decimals?

Topic: Rounding, Estimation and Accuracy

Big Question: Why can estimation be useful?

Topic: Surds

Big Question: What is a rational and irrational number?

Topic: Algebra

Big Question: How can Algebra help us in the real world? What comes first, the problem or the solution?

Topic: Formula

Big Question: Is a calculator better than a brain?

Topic: Further Algebra

Big Question: How can we model situations that involve motion, including acceleration, stopping distance and distance travelled using quadratic expressions and formulae?

Topic: Equations

Big Question: How many solutions does an equation have?  Is a calculator better than a brain?

Topic: functions & sequences

Big Question: How can establishing patterns in the natural world help in understanding relationships?

Topic: Pythag & trigonometry

Big Question: Is there a relationship between the ratios of the sides of a right-angle triangle?

Why is the diagonal length of a square not equal to its side length?

Topic: Similarity

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Congruence

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Perimeter & Area

Big Question: Can the area and perimeter of a shape ever be equal?

Topic: Volume & Surface Area

Big Question: What is a rational and irrational number?

Topic: Transformations 

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Probability

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Mensuration

Big Question: Why do we need to measure length, area and volume? Who might want to use these? How does the volume of a quantity differ from its area?

Y11
(Foundation Course)
Big Picture

Topic: Inequalities

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Perimeter & area

Big Question: Can the area and perimeter of a shape ever be equal?

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Volume & surface area

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Congruence & similarity

Big Question: Do all equations always have a solution?

Is it possible to have an x-intercept?

Topic: Straight line graphs

Big Question: Can you spot and plot the relationship between x and y?

Topic: Graphs of functions & equations

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

 

Topic: Further Algebra

Big Question: How to travel like an Egyptian….

 Vectors are used for calculations in 2D. Can we use them in 3D? What other subjects or topics might use vectors?

Topic: Vectors

Big Question: What is the price of money?

Have a look at some savings accounts for high street banks. What interesting words you discover?

Topic: Growth & Decay

Big Question: How can knowing about mathematical relationships lead to a better understanding of how environmental systems evolve?

   
Y11
(Higher Course)
Big Picture

Topic: Construction & loci

Big Question: What is a rational and irrational number?

Topic: Growth & Decay   Big Question: What is the price of money?  What is exponential growth?

Topic: Ratio & proportion

Big Question: What is “Golden Ratio”? How do architects and engineers make use of ratio and proportion?

Topic: Graphs of functions & equations

Big Question: How can we use the nature of the data and the relationship between values to determine the shape and form of the graph?

Topic: Transforming curves

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic: Algebraic inequalities

Big Question: How can we find the graphing constraints for a project to find regions of feasibility and identify the best solution?

Topic: Circles

Big Question: How do shapes relate to one another and what changes/stays the same when we apply rules of mathematical modification?

Topic:  Vectors

Big Question: How to travel like an Egyptian…. 

 Vectors are used for calculations in 2D. Can we use them in 3D? What other subjects or topics might use vectors?

Topic: Sampling & representing data

Big Question: How can we find information about a characteristic of a population?

Topic: Data analysis & interpretation of graphs 

Big Question: How can knowing about mathematical relationships lead to a better understanding of how environmental systems evolve?