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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?