Interactive Maths - The Interactive Way to Teach Mathematics
  • Interactive Maths
    • Activities Index
    • 50 Great Activities for Any Classroom
    • QQI Activity Descriptions
    • About Me
    • Contact Me
    • Links
    • Legal & Fees
    • Privacy Policy
  • Blog
  • Number
    • Arithmetic >
      • The Four Operations >
        • The Four Operations (QQI)
        • The Four Operations (10QQI)
        • The Four Operations (QQI Count Down)
        • The Four Operations (QQI Relay)
        • The Four Operations (QQI BINGO)
        • The Four Operations (QQI Worksheets)
        • The Four Operations (Video)
        • Timestables Square (QQI)
        • Grid Multiplication (QQI)
      • Missing Numbers >
        • Missing Numbers (QQI)
        • Missing Numbers (10QQI)
        • Missing Numbers (QQI Count Down)
        • Missing Numbers (QQI Relay)
        • Missing Numbers (QQI BINGO)
        • Missing Numbers (QQI Worksheets)
      • Order of Operations >
        • Order of Operations (QQI)
        • Order of Operations (10QQI)
        • Order of Operations (QQI Count Down)
        • Order of Operations (QQI Relay)
        • Order of Operations (QQI BINGO)
        • Order of Operations (QQI Worksheets)
      • Powers of Ten >
        • Powers of Ten (QQI)
        • Powers of Ten (10QQI)
        • Powers of Ten (QQI Count Down)
        • Powers of Ten (QQI Relay)
        • Powers of Ten (QQI BINGO)
        • Powers of Ten (QQI Worksheets)
      • Decimal Operations >
        • Decimal Operations (QQI)
        • Decimal Operations (10QQI)
        • Decimal Operations (QQI Count Down)
        • Decimal Operations (QQI Relay)
        • Decimal Operations (QQI BINGO)
        • Decimal Operations (QQI Worksheets)
      • Rounding >
        • Rounding (QQI)
        • Rounding (10QQI)
        • Rounding (QQI Count Down)
        • Rounding (QQI Relay)
        • Rounding (QQI BINGO)
        • Rounding (QQI Worksheets)
      • Products and Sums (QQI)
      • Products and Sums (10QQI)
    • Fractions >
      • Cancelling Fractions >
        • Cancelling Fractions (QQI)
        • Cancelling Fractions (10QQI)
        • Cancelling Fractions (QQI Count Down)
        • Cancelling Fractions (QQI Relay)
        • Cancelling Fractions (QQI BINGO)
        • Cancelling Fractions (QQI Worksheets)
      • Mixed Numbers and Improper Fractions >
        • Mixed Numbers and Improper Fractions (QQI)
        • Mixed Numbers and Improper Fractions (10QQI)
        • Mixed Numbers and Improper Fractions (QQI Count Down)
        • Mixed Numbers and Improper Fractions (QQI Relay)
        • Mixed Numbers and Improper Fractions (QQI BINGO)
        • Mixed Numbers and Improper Fractions (QQI Worksheets)
      • Fractions of Amounts >
        • Fractions of Amounts (QQI)
        • Fractions of Amounts (10QQI)
        • Fractions of Amounts (QQI Count Down)
        • Fractions of Amounts (QQI Relay)
        • Fractions of Amounts (QQI BINGO)
        • Fractions of Amounts (QQI Worksheets)
      • Fraction Arithmetic >
        • Fraction Arithmetic (QQI)
        • Fraction Arithmetic (10QQI)
        • Fraction Arithmetic (QQI Count Down)
        • Fraction Arithmetic (QQI Relay)
        • Fraction Arithmetic (QQI BINGO)
        • Fraction Arithmetic (QQI Worksheets)
    • FDP >
      • Fraction Decimal Conversions Drill
    • Percentages >
      • Percentages of Amounts >
        • Percentages of Amounts (QQI)
        • Percentages of Amounts (10QQI)
        • Percentages of Amounts (QQI Count Down)
        • Percentages of Amounts (QQI Relay)
        • Percentages of Amounts (QQI BINGO)
        • Percentages of Amounts (QQI Worksheets)
        • Percentage of Amounts (Video)
      • Writing Numbers as a Percentage >
        • Writing Numbers as a Percentage (QQI)
        • Writing Numbers as a Percentage (10QQI)
        • Writing Numbers as a Percentage (QQI Count Down)
        • Writing Numbers as a Percentage (QQI Relay)
        • Writing Numbers as a Percentage (QQI BINGO)
        • Writing Numbers as a Percentage (QQI Worksheets)
        • Writing Numbers as a Percentage (Video)
      • Percentage Change >
        • Percentage Change (QQI)
        • Percentage Change (10QQI)
        • Percentage Change (QQI Count Down)
        • Percentage Change (QQI Relay)
        • Percentage Change (QQI Worksheets)
        • Percentage Change (Video)
      • Increase and Decrease by a Percentage >
        • Increase and Decrease by a Percentage (QQI)
        • Increase and Decrease by a Percentage (10QQI)
        • Increase and Decrease by a Percentage (QQI Count Down)
        • Increase and Decrease by a Percentage (QQI Relay)
        • Increase and Decrease by a Percentage (QQI BINGO)
        • Increase and Decrease by a Percentage (QQI Worksheets)
        • Increase and Decrease by a Percentage (Video)
      • Compound Interest and Simple Interest >
        • Compound Interest and Simple Interest (QQI)
        • Compound Interest and Simple Interest (10QQI)
        • Compound Interest and Simple Interest (QQI Count Down)
        • Compound Interest and Simple Interest (QQI Relay)
        • Compound Interest and Simple Interest (QQI BINGO)
        • Compound Interest and Simple Interest (QQI Worksheets)
        • Compound Interest and Simple Interest (Video)
      • Overall Percentage Change >
        • Overall Percentage Change (QQI)
        • Overall Percentage Change (10QQI)
        • Overall Percentage Change (QQI Count Down)
        • Overall Percentage Change (QQI Relay)
        • Overall Percentage Change (QQI BINGO)
        • Overall Percentage Change (QQI Worksheets)
      • Reverse Percentages >
        • Reverse Percentages (QQI)
        • Reverse Percentages (10QQI)
        • Reverse Percentages (QQI Count Down)
        • Reverse Percentages (QQI Relay)
        • Reverse Percentages (QQI BINGO)
        • Reverse Percentages (QQI Worksheets)
        • Reverse Percentages (Video)
      • Mixed Percentages >
        • Mixed Percentages (QQI)
        • Mixed Percentages (10QQI)
        • Mixed Percentages (QQI Count Down)
        • Mixed Percentages (QQI Relay)
        • Mixed Percentages (QQI BINGO)
        • Mixed Percentages (QQI Worksheets)
    • Factors and Multiples >
      • Number Properties (QQI)
      • Product of Primes >
        • Product of Primes (QQI)
        • Product of Primes (10QQI)
        • Product of Primes (QQI Count Down)
        • Product of Primes (QQI Relay)
        • Product of Primes (QQI BINGO)
        • Product of Primes (QQI Worksheets)
      • HCF and LCM >
        • HCF and LCM (QQI)
        • HCF and LCM (10QQI)
        • HCF and LCM (QQI Count Down)
        • HCF and LCM (QQI Relay)
        • HCF and LCM (QQI BINGO)
        • HCF and LCM (QQI Worksheets)
        • HCF and LCM (Video)
      • 100 Square Multiples (QQI)
      • 100 Square Types of Numbers (QQI)
    • Standard Form >
      • Standard Form Conversions >
        • Standard Form Conversions (QQI)
        • Standard Form Conversions (10QQI)
        • Standard Form Conversions (QQI Count Down)
        • Standard Form Conversions (QQI Relay)
        • Standard Form Conversions (QQI BINGO)
        • Standard Form Conversions 2 (QQI BINGO)
        • Standard Form Conversions (QQI Worksheets)
      • Standard Form Arithmetic >
        • Standard Form Arithmetic (QQI)
        • Standard Form Arithmetic (10QQI)
        • Standard Form Arithmetic (QQI Count Down)
        • Standard Form Arithmetic (QQI Relay)
        • Standard Form Arithmetic (QQI BINGO)
        • Standard Form Arithmetic (QQI Worksheets)
    • Ratio and Proportion >
      • Ratio (Video)
    • Surds >
      • Surds Activities >
        • Surds (QQI)
        • Surds (10QQI)
        • Surds (QQI Count Down)
        • Surds (QQI Relay)
        • Surds (QQI BINGO)
        • Surds (QQI Worksheets)
  • Algebra
    • Algebraic Manipulation >
      • Collecting Like Terms >
        • Collecting Like Terms (QQI)
        • Collecting Like Terms (10QQI)
        • Collecting Like Terms (QQI Count Down)
        • Collecting Like Terms (QQI Relay)
        • Collecting Like Terms (QQI BINGO)
        • Collecting Like Terms (QQI Worksheets)
      • Expanding Single Brackets >
        • Expanding Single Brackets (QQI)
        • Expanding Single Brackets (10QQI)
        • Expanding Single Brackets (QQI Count Down)
        • Expanding Single Brackets (QQI Relay)
        • Expanding Single Brackets (QQI BINGO)
        • Expanding Single Brackets (QQI Worksheets)
      • Factorising >
        • Factorising (QQI)
        • Factorising (10QQI)
        • Factorising (QQI Count Down)
        • Factorising (QQI Relay)
        • Factorising (QQI BINGO)
        • Factorising (QQI Worksheets)
      • Expanding Quadratic Brackets >
        • Expanding Quadratic Brackets (QQI)
        • Expanding Quadratic Brackets (10QQI)
        • Expanding Quadratic Brackets (QQI Count Down)
        • Expanding Quadratic Brackets (QQI Relay)
        • Expanding Quadratic Brackets (QQI BINGO)
        • Expanding Quadratic Brackets (QQI Worksheets)
      • Factorising Quadratics >
        • Factorising Quadratics (QQI)
        • Factorising Quadratics (10QQI)
        • Factorising Quadratics (QQI Count Down)
        • Factorising Quadratics (QQI Relay)
        • Factorising Quadratics (QQI BINGO)
        • Factorising Quadratics (QQI Worksheets)
        • Factorising Quadratic Expressions (Video)
        • Factorising Four Term Expressions (Video)
      • Indices >
        • Indices (QQI)
        • Indices (10QQI)
        • Indices (QQI Count Down)
        • Indices (QQI Relay)
        • Indices (QQI BINGO)
        • Indices (QQI Worksheets)
      • Completing the Square >
        • Completing the Square (QQI)
        • Completing the Square (10QQI)
        • Completing the Square (QQI Count Down)
        • Completing the Square (QQI Relay)
        • Completing the Square (QQI BINGO)
        • Completing the Square 2 (QQI BINGO)
        • Completing the Square (QQI Worksheets)
      • Algebraic Fractions >
        • Simplifying Algebraic Fractions (Video)
        • Adding and Subtracting Algebraic Fractions (Video)
        • Multiplying and Dividing Algebraic Fractions (Video)
    • Coordinates >
      • Coordinates (GGB)
      • Coordinate Battleship First Quadrant (GGB)
      • Coordinate Battleship All Four Quadrants (GGB)
      • 3D Coordinates (AGG)
    • Equations >
      • Linear Equations >
        • Solving Linear Equations >
          • Solving Linear Equations (QQI)
          • Solving Linear Equations (10QQI)
          • Solving Linear Equations (QQI Count Down)
          • Solving Linear Equations (QQI Relay)
          • Solving Linear Equations (QQI BINGO)
          • Solving Linear Equations (QQI Worksheets)
        • Solving Equations with Algebraic Fractions (Video)
      • Quadratic Equations >
        • Solving Quadratic Equations >
          • Solving Quadratic Equations (QQI)
          • Solving Quadratic Equations (10QQI)
          • Solving Quadratic Equations (QQI Count Down)
          • Solving Quadratic Equations (QQI Relay)
          • Solving Quadratic Equations (QQI BINGO)
          • Solving Quadratic Equations (QQI Worksheets)
        • Solving Quadratic Equations by Factorising (Video)
        • The Quadratic Formula (Video)
        • Problems Involving Quadratic Equations (Video)
      • Simultaneous Equations >
        • Solving Simultaneous Equations >
          • Solving Simultaneous Equations (QQI)
          • Solving Simultaneous Equations (10QQI)
          • Solving Simultaneous Equations (QQI Count Down)
          • Solving Simultaneous Equations (QQI Relay)
          • Solving Simultaneous Equations (QQI Relay Fixed)
          • Solving Simultaneous Equations (QQI BINGO)
          • Solving Simultaneous Equations (QQI Worksheets)
        • Solving Simultaneous Equations Graphically (Video)
        • Simultaneous Equations by Substitution (Video)
        • Simultaneous Equations by Elimination (Video)
        • Simultaneous Equations - One Non-Linear (Video)
    • Sequences >
      • Sequences Activity (QQI)
      • Sequences Activities >
        • Sequences (QQI)
        • Sequences (10QQI)
        • Sequences (QQI Count Down)
        • Sequences (QQI Relay)
        • Sequences (QQI BINGO)
        • Sequences (QQI Worksheets)
      • Generating Sequences (Video)
      • General Term for Linear Sequences (Video)
      • Simple Quadratic Sequences (Video)
      • General Term for Quadratic Sequences (Video)
      • General Term for Cubic Sequences (Video)
      • Geometric Sequences (Video)
      • Common Differences (QQI)
    • Graphs >
      • Straight Line Graphs >
        • Drawing Straight Line Graphs (GGB)
        • Gradient of a Line (GGB)
        • Gradient of a Line 2 (GGB)
        • Parallel Lines (GGB)
        • Perpendicular Lines (GGB)
        • y = mx + c Activity (GGB)
        • Battleships 1 (AGG)
        • Battleships 2 (AGG)
        • Battleships 3 (AGG)
        • Find the Lines 1 (AGG)
        • Regions in Graphs (Video)
      • Non-Linear Graphs >
        • Drawing Curves (GGB)
        • Quadratic Graphs Activity (GGB)
        • Finding Quadratic Functions (Video)
      • Graphs with a Casio GDC (Video)
    • Graph Transformations >
      • Graph Transformations 1 (GGB)
      • Graph Transformations 2 (GGB)
      • Graph Transformations 3 (GGB)
      • Graph Transformations 4 (GGB)
      • Graph Transformations 5 (GGB)
      • Graph Transformations 6 (GGB)
    • Functions >
      • Functions Introductions (Video)
      • Function Graphs and Important Points (Video)
      • Solving Unfamiliar Equations Using Functions (Video)
      • Function Notation Revision (Video)
      • Composite Functions (Video)
      • Inverse Functions (Video)
  • Shape
    • Symmetry >
      • Reflection Symmetry >
        • Reflection Symmetry in Quadrilaterals (GGB)
        • Reflection Symmetry in Triangles (GGB)
        • Reflection Symmetry in Other Shapes (GGB)
      • Rotational Symmetry >
        • Rotational Symmetry in Quadrilaterals (GGB)
        • Rotational Symmetry in Triangles (GGB)
        • Rotational Symmetry in Other Shapes (GGB)
    • Area and Perimeter >
      • Polygons >
        • Perimeters (GGB)
        • Area of a Triangle (GGB)
        • Area of a Parallelogram (GGB)
        • Area of a Trapezium (GGB)
        • Area of Compound Shapes (GGB)
        • Perimeter and Area (GGB)
      • Circles >
        • Discovering Pi (GGB)
        • Circumference of a Circle (GGB)
        • Area of a Circle (GGB)
        • Running Tracks (GGB)
        • Circle Area Problem (GGB)
        • Circles and Squares (GGB)
      • Area (QQI)
      • Area (10QQI)
      • Tilted Squares (GGB)
      • Difference Between Two Squares (GGB)
    • Volume and Surface Area >
      • Volumes and Surface Areas (QQI)
      • Volumes and Surface Areas (10QQI)
    • Angles >
      • Guess the Angle (GGB)
      • Angles on a Straight Line (GGB)
      • Angles around a Point (GGB)
      • Angles in a Triangle (GGB)
      • Angles in a Quadrilateral (GGB)
      • Angles in a Regular Polygon (GGB)
      • Angles on Parallel Lines (GGB)
      • Striping Angles (GGB)
    • Transformations >
      • Reflection >
        • Reflections (GGB)
        • Reflection Challenge (GGB)
      • Rotation >
        • Rotations (GGB)
        • Rotation Challenge (GGB)
      • Translation >
        • Translations (GGB)
        • Translation Challenge (GGB)
      • Enlargement >
        • Enlargements (GGB)
        • Enlargement Challenge (GGB)
        • Other Scale Factors (GGB)
      • Challenges >
        • Which Transformation (GGB)
        • How Many Transformations (GGB)
        • Find Them All (AGG)
        • Ultimate Challenge (GGB)
      • Matrix Transformations (AGG)
    • Pythagoras Theorem >
      • Pythagoras Theorem Activities >
        • Pythagoras Theorem (QQI)
        • Pythagoras Theorem (10QQI)
        • Pythagoras Theorem (QQI Count Down)
        • Pythagoras Theorem (QQI Relay)
        • Pythagoras Theorem (QQI BINGO)
        • Pythagoras Theorem (QQI Worksheets)
      • Pythagoras Theorem (GGB)
      • Pythagorean Triples (GGB)
      • Pythagoras Proof (GGB)
      • Ladders up Walls (GGB)
      • Pythagoras in 3D (GGB)
      • Finding the Hypotenuse Example (Video)
      • Finding a Shorter Side Example (Video)
    • Trigonometry >
      • Right Angled Trigonometry >
        • Right Angled Trigonometry (QQI)
        • Right Angled Trigonometry (10QQI)
        • Right Angled Trigonometry (QQI Count Down)
        • Right Angled Trigonometry (QQI Relay)
        • Right Angled Trigonometry (QQI BINGO)
        • Right Angled Trigonometry (QQI Worksheets)
        • Discovering Trig Ratios (GGB)
        • Finding Lengths (GGB)
        • Finding Missing Lengths (Video)
        • Finding Missing Angles (Video)
      • Sine Rule (Video)
      • Cosine Rule (Video)
      • Sine and Cosine Rules (Video)
    • Circle Theorems >
      • Angle in the Centre vs Angle at the Circumference (GGB)
      • Angle at the Centre vs Angle at the Circumference (Video)
      • Angles in a Semicircle (GGB)
      • Angle in a Semicircle (Video)
      • Angles in Cyclic Quadrilaterals (GGB)
      • Angles in a Cyclic Quadrilateral (Video)
      • Angles in the Same Segment (GGB)
      • Angles in the Same Segment (Video)
      • Tangents (GGB)
      • Tangents (Video)
      • Alternate Segment Theorem (GGB)
      • Intersecting Tangents (GGB)
      • Intersecting Tangents (Video)
      • Intersecting Chords (GGB)
    • Vectors >
      • Vectors and Scalars (Video)
      • Vector Notation (Video)
      • Resultant Vectors (Video)
      • Resultants of Column Vectors (Video)
      • Scalar Multiplication (Video)
      • Magnitude of a Vector (Video)
    • Miscellaneous >
      • Squares (GGB)
      • Tangrams (GGB)
      • Euler Line (GGB)
      • Geoboards
  • Statistics
    • Probability >
      • Probability (QQI)
      • Probability (10QQI)
      • Probability Tools (Flash)
    • Averages >
      • Averages Activity (QQI)
      • Listed Averages >
        • Listed Averages (QQI)
        • Listed Averages (10QQI)
        • Listed Averages (QQI Count Down)
        • Listed Averages (QQI Relay)
        • Listed Averages (QQI BINGO)
        • Listed Averages (QQI Worksheets)
        • Averages From Lists of Data (Video)
        • Quartiles and Interquartile Range (Video)
      • Averages from Frequency Tables >
        • Averages from Frequency Tables (QQI)
        • Averages from Frequency Tables (10QQI)
        • Averages from Frequency Tables (QQI Count Down)
        • Averages from Frequency Tables (QQI Relay)
        • Averages from Frequency Tables (QQI BINGO)
        • Averages from Frequency Tables (QQI Worksheets)
        • Averages From Frequency Tables (Video)
        • Averages From Grouped Frequency Tables (Video)
      • Averages With A GDC (Video)
    • Statistical Diagrams >
      • Cumulative Frequency (Video)
      • Scatter Graphs and the Mean Point (Video)
      • Scatter Graphs and Linear Regression on a GDC (Video)
      • Correlation and the Correlation Coefficient on a GDC (Video)
  • Post 16 Topics
    • Binomial Expansion >
      • Binomial Expansion (Video)
      • Binomial Theorem (Video)
      • Binomial Coefficients (Video)
      • Binomial Applications (Video)
    • Coordinate Geometry >
      • Coordinate Geometry (QQI)
      • Coordinate Geometry (10QQI)
      • Equation of a Circle (AGG)
    • Differentiation >
      • Differentiating Polynomials >
        • Differentiating Polynomials (QQI)
        • Differentiating Polynomials (10QQI)
        • Differentiating Polynomials (QQI Count Down)
        • Differentiating Polynomials (QQI Relay)
        • Differentiating Polynomials (QQI BINGO)
        • Differentiating Polynomials (QQI Worksheets)
      • Finding Gradients of Curves (QQI)
      • Finding Gradients of Curves (10QQI)
      • Finding Turning Points of Curves (QQI)
      • Finding Turning Points of Curves (10QQI)
    • Trigonometry >
      • Radian and Degree Conversions >
        • Radian and Degree Conversions (QQI)
        • Radian and Degree Conversions (10QQI)
        • Radian and Degree Conversions (QQI Count Down)
        • Radian and Degree Conversions (QQI Relay)
        • Radian and Degree Conversions (QQI BINGO)
        • Radian and Degree Conversions (QQI Worksheets)
      • Trigonometric Exact Values >
        • Trigonometric Exact Values (QQI)
        • Trigonometric Exact Values (10QQI)
        • Trigonometric Exact Values (QQI Count Down)
        • Trigonometric Exact Values (QQI Relay)
        • Trigonometric Exact Values (QQI BINGO)
        • Trigonometric Exact Values (QQI Worksheets)
      • Graphs of Trig Functions (GGB)
  • Starters, Puzzles and Enrichment
    • UKMT Random Question Generator
    • @mathschallenge Random Questions
    • School of Hard Sums Random Questions
    • Random Starter of the Day
    • Mathematically Possible (QQI Starter)
    • Adding Challenge (QQI Starter)
    • Date Starter (QQI Starter)
    • Name That Number (QQI Starter)
    • Matchstick Random Questions
    • Choose 3 Numbers (QQI Starter)
    • What's The Question (QQI Starter)
    • Mathematical Words (QQI Starter)
    • Number of the Day (QQI Starter)
    • Anagrams and Missing Vowels (QQI Starter)
    • Missing Vowels and Word Jumbles (QQI) >
      • Missing Vowels and Word Jumbles Simple Numbers (QQI)
    • Tables (QQI)
    • Target Boards (QQI)
    • Missing Signs (QQI)
    • Random Activities >
      • Exploding Dots
      • Easter Date
      • Easter Tangrams (GGB)
      • Zeller's Algorithm
      • Batman Equation (AGG)
      • Templates
    • Mathematical Videos >
      • Fermat's Last Theorem (Video)
      • Pi Song (Video)
      • Monty Hall Problem (Video)
      • Symmetry, Reality's Riddle (Video)
      • Music of the Primes (Video)
      • Folding Paper (Video)
      • Nature by Numbers (Video)
      • Inspirations (Video)

IGCSE Booklets Part 2: How I Make Them

19/9/2019

0 Comments

 
In part 1 of this series I discussed why I have been won over by the humble booklet. In this post I am going to expand on how I design my booklets and what I include in them. I will include images from some of the booklets in the post, but I am not able to share whole booklets as I use some material that I do not have permission to share. I will reference to the main sources I use for each section of the booklet, and give some images of the types of resources used. You can find one full example on Coordinate Geometry here.
The front page is fairly simple, with the unit number and title, a space for students to write their name, and the video numbers linked to the topic on www.corbettmaths.com. I also have a back page to all the booklets which has references to websites I use to put them together.
Picture
The front page of the Advanced Trigonometry booklet.
Picture
The back page of a booklet contains references to commonly used materials. Not all will be used to create this booklet, but they are sites I use regularly.
Within the unit I start by breaking down the objectives into individual skills that students will need to master. So, for example, in the advanced trigonometry unit there is a skill for sine rule, one for cosine rule and one for identifying which one to use. Within each skill I will break them down into smaller sub skills if necessary. So sine rule is broken down into finding missing lengths and finding missing angles.
So the final break down of skills and sub skills for the advanced trigonometry unit is:
  • Right Angled Trigonometry (recap of prior knowledge)
  • Angles bigger than 90 (includes labelling triangles and calculator skills)
  • Sine Rule (split into lengths then angles)
  • Cosine Rule (split into lengths then angles)
  • Area of a Triangle (finding area then finding other missing information)
  • Choosing the Rule
  • Bearings
  • Trigonometric Graphs
  • Exact Values (the standard results)
  • Other Exact Values (given value of sin x find cos x)
With each skill identified, I go about planning them following the same format.
Required Prior Knowledge
The skill starts with a short item on the required prior knowledge for that particular skill. Sometimes this is a recap of a prior skill from the current unit (eg factorising quadratics before solving them). Sometimes it is something from an earlier unit (eg solving equations before sine rule).
As can be seen in the examples below, these take a variety of forms. Some are simply questions on processes that need to be secure. Some are ideas that will lead into the current skill. One of the things I need to work on is developing these to cover ALL the prerequisite knowledge and skills that have not been covered already in the current unit. 
The point of this section is to help me and students identify if they can do the necessary skills required to do the new skill. If they can't do them, then the lesson will adapt to address those issues first, before moving on with the new skill. There is little point in teaching students to solve the Sine Rule, if they cannot solve equations with the unknown as part of a fraction.
It is worth noting here that these are not meant to be lesson starters. I use a retrieval starter of Last Lesson, Last Unit, Further Back as the 'Do Now'. In single periods I have started doing a single retrieval question rather than four, usually from last lesson. I do sometimes plan the Further Back question to address any required prior knowledge too, but this might be a couple of lessons ahead of teaching what requires it. 
Notes
Next there is a section for notes. In terms of teaching, this is when I will explain the new skill, and give any definitions, etc. 
The notes section is structured as a fill in the gaps exercise, usually with a sentence starter given, and then some space. I also have prepared powerpoint files to go alongside the booklets (though I have stopped using them as much) which line up with the notes section. I now prefer to say and explain the idea and give students time to fill in the gaps themselves. 
I have been thinking a lot about the use of non-examples at this point of the booklet, and although they are not embedded in them at the moment, I will be adding space for these in the next iteration of them. I am thinking of adding Frayer Diagram templates as well as a way to structure students notes on the definition, characteristics and examples and non-examples of concepts. I have used these a little at the end of units as a reflection activity, but I think they have potential to form part of the actual notes students produce as well, and would push me to think more deeply about non-examples.
Example Problem Pairs
The notes section is followed by sets of Example Problem Pairs. These largely follow the idea set out by Craig Barton here, though I have not been so careful with making them minimally different yet. Perhaps I will adjust these moving forward.
Printed are both the example and the your turn problem, as you can see below. This allows me to give students the questions (no time spent copying out questions), and include any images so they don't need to draw them. It also allows me to include graph paper when necessary, along with any other diagrams (for example they can write straight on transformation examples).
Of course this does introduce the potential issue of students rushing ahead and not paying attention to the example (I will discuss how I deal with this in Part 3).
The biggest issue I have found with this layout is that I need to make sure I include enough space for students to write their answers! They tend to require a lot more space than I do to answer a question (bigger handwriting is one problem, but also the fact they are novices so can't "see" the way forward as easily and so jot things around a bit more). This is one of the things I take note of when annotating my copy of the booklet for adapting the following year.
I have also just finished reading the excellent Making Every Maths Lesson Count by Emma McCrea, and recently listened to the Mr Barton Maths Podcast with Michael Pershan, both of which mention Algebra by Example. In particular they mention the use of incorrect examples, and this is something I want to explore further within the booklets. Getting students to review an incorrect example, or compare an incorrect with a correct example, sounds like a great way to get them thinking about the details a little more.
There is also incomplete examples, where students have to fill in the missing bits, as you gradually reduce the amount that is given to them. Booklets would be great for this as you can have them all printed a ready for students to write on.
The number of example problem pairs will vary depending on the skill. For example, in using the sine rule to find lengths, there is a single example problem pair. But in graphing regions using inequalities there are a total of 8 example problem pairs. These are included to go through the different variations of the types of questions that can occur. If a class is moving on fine though, I might push them to do the remaining examples themselves, rather than working through them.
Exercise
After the example problem pairs, there will be an exercise. This will probably be a fairly classic set of questions to practice the new skill they have just learned. I do sometimes make use of the sets of questions from Variation Theory, but also use CorbettMaths, Dr Frost Maths, 10 Ticks, exercises from our ebooks, Pixi Maths and my own site Interactive Maths. These are not the only ones I use, as I also get stuff from TES and Resourceaholic, and have found the old textbooks great for some of these too.
I like to include more than enough practice in here for students to do, so will generally have much more than I need. This is also the bit of the booklet where students write in their own exercise books to save space, so I can bunch questions up as much as possible. This allows me to choose what I want them to do based on how they are understanding the material.
For each skill there is also an accompanying powerpoint that has the answers to most of the exercises.
Further Practice
Sometimes I will also include links to even further practice for students. Usually this is to a page in their textbook or CorbettMaths, but also CIMT. We very rarely use these in class, and they are provided as extra for students to do in their revision outside of class.
Test Your Understanding?
These are not always included in the skill, but when they are I use them as a quick way to check before moving on to another subskill, or before more independent practice. These will usually be answered on mini-whiteboards, and are there in case students struggled with the your turn and need a little more guided practice before moving on to the exercise. They normally include 4 questions similar in style to the example problem pair.
Sometimes instead of including these in the booklets, I have used diagnostic questions as part of the powerpoint, which I project and students answer by raising the number of fingers that correspond to the answer they think is correct.
Another sub-skill?
Sometimes a skill is broken into smaller sub-skills. Rather than creating booklets with 20 skills for a unit (which I feel can be a bit overwhelming) I will not relabel these sub-skills, but rather incorporate them into the bigger skill. For example, in the skill of Sine Rule, there is a section on finding lengths and then on finding angles.
I also make a lot of use of these in the first skill of a unit when that is largely prior knowledge. For example, in the unit on Quadratic Equations the first skill covers expanding, factorising and use of the graphical calculator. I do not want to dedicate a whole skill to each, but this does mean there is some material on these if I discover I need to reteach some bits of it.
Each new sub-skill will follow largely the same layout as above. I am more likely to use Test for Understanding instead of an exercise if there are lots of sub-skills that build up, and then include the exercise at the end of the whole skill.
Activities
I sometimes include activities like matching activities, or odd one outs. These will often cover the whole skill and so will be included at the end of the skill. Sometimes this is just a blank space with a title to stick in the cards. Other times there is more structure. It depends on the activity. This is where I still get to include some of the great activities you find on TES.
Challenge
At the end of the skill there is usually a challenge section. What I mean by challenge is that it is not your "ordinary" style questions. This is where I include things like Maths Venns, stuff from Don Steward, Clumsy Clives, Arithmagons, stuff from nrich, UKMT questions. This is not something I included from the beginning so not all booklets have them yet, but I will be adding as I find new things and adapt them the next time I teach the unit.
More so than other sections, this is the one I find most useful to have available at any time, as I can push students who have demonstrated a basic understanding on to these tasks to develop their understanding further. 
Unit Review
At the end of the booklet I like to include a unit review section. This will always include a Unit Review Worksheet which basically has a two questions on each of the sub-skills from the unit. It is meant to be used by students to assess themselves on what they can and cannot do.
There are also sometimes activities that cover the whole unit, though these really do depend on the unit in questions.
Exam Questions
For some units I also included a section of exam questions on the topic at the end of the booklet. We already have a set of documents of exam questions by topic, so this is not something I have done religiously as they already existed. However, I am starting to think that including them at the end would remind me to make use of them more often, and would truly enable students to have everything in one place. 
Concluding Remarks
In part 1 I discussed 10 reasons why I have been won over by the use of booklets. Some of these are determined by the way I make the booklets (e.g. having everything in one place). Although there is definitely an initial time commitment to putting these booklets together in the first place, in following years you only have minor tinkering to do for a whole unit, which allows you to focus on how you can best use the booklet in your teaching, and how you can use that extra time made available to teach better. In part 3 of this series I will be exploring how I go about using the booklets I produce, both in planning and in class.
Do you use booklets in your teaching? What do you include in them? Do you do things differently to me? If you don't currently use booklets, could you see any benefits in having a resource like this?
0 Comments



Leave a Reply.

    Dan Rodriguez-Clark

    I am a maths teacher looking to share good ideas for use in the classroom, with a current interest in integrating educational research into my practice.

    Categories

    All
    Coaching
    Displays
    General
    Leadership
    Personal
    Planning
    Projects
    Reading Review
    Reflections
    Research Based
    Resources
    Teaching Ideas
    Tech Ideas

    Archives

    August 2020
    July 2020
    June 2020
    May 2020
    April 2020
    March 2020
    February 2020
    January 2020
    December 2019
    November 2019
    October 2019
    September 2019
    August 2019
    July 2019
    June 2019
    May 2019
    April 2019
    March 2019
    January 2019
    December 2018
    November 2018
    October 2018
    September 2018
    August 2018
    July 2018
    June 2018
    May 2018
    April 2018
    February 2018
    December 2017
    November 2017
    October 2017
    May 2017
    May 2016
    February 2016
    January 2016
    September 2015
    July 2015
    April 2015
    March 2015
    February 2015
    April 2014
    March 2014
    February 2014
    January 2014
    December 2013
    November 2013
    September 2013
    July 2013
    June 2013
    May 2013
    April 2013
    March 2013
    February 2013
    January 2013
    December 2012

    RSS Feed

Information
  • About Me
  • Contact Me
  • Links
  • Legal and Fees
  • Privacy Policy
Indices and Activities
  • QQI Activity Descriptions
  • Activity Index
  • Video Index
Sister Sites
  • The blog
  • Generators
  • Crypto Corner
  • ​Mr R-Cs Classes
©2012-2019 Daniel Rodriguez-Clark
All rights reserved
Picture