Use Pythagoras' theorem to show that a triangle is right-angled
Apply Pythagoras' theorem to determine if a triangle is right-angled
Unit: Pythagoras Theorem 2
Lessons:
4 lessons
Use Pythagoras’ theorem to find the length of a line segment
Use Pythagoras' theorem to find the length of a line segment that joins two coordinates
Use Pythagoras’ theorem with Isosceles Triangles
Apply Pythagoras' theorem to isosceles triangles
Apply Pythagoras' theorem to two triangles
Apply Pythagoras' theorem to two triangles that have a common side
Units in Maths
Units in Shape and Space (S)
- Directed Numbers
- 4 Rules of Number
- Types of numbers
- Rules of Indices (numbers)
- Collecting like terms, simplifying
- Expand and simplify brackets
- Rules of Indices
- Solving equations 1 (One step, Two Step and Brackets)
- Solving equations 2 (Simple algebraic fractions)
- Substitution and Rearranging formulae
- Reflection
- Rotation and Enlargement
- Pythagoras Theorem 1
- Pythagoras Theorem 2
- Factors Multiple and Primes
- Venn Diagrams
- HCF and LCM
- Rounding and Estimating
- Factorising (single bracket)
- Factorise and solve a quadratic (a=1)
- Solve Inequalities and Represent on Number Line
- Linear Sequences
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Fractions 2 (multiplying and dividing)
- Fraction Change
- Simple Graphs
- Straight Line Graphs (y=mx+C)
- Quadratic Graphs 1 (a=1)
- Percentages
- Percentage increase and decrease
- Repeated Percentage Change
- FDP Equivalents
- Decimals
- Ratio 1
- Area and Perimeter
- Circles
- Parts of circles 1 (Semi and quarter circles)
- Volume and Surface Area 1 (Prisms)
- Simplifying Surds
- Adding Surds
- Multiplying Surds
- Dividing and Rationalising surds
- Algebraic Fractions
- Factorise and solve quadratics (a > 1)
- Further Algebra (Change the subject/Binomial expansion)
- Similarity
- Trigonometry 1
- Trigonometry 2
- Trigonometry 3
- Types of numbers and Rules of Indices
- Negative and Fractional Indices
- Recurring decimals
- Upper and Lower Bounds
- Straight Line Graphs 2 (Parallel Lines)
- Higher Straight lines (Perpendicular Lines)
- Simultaneous Equations (Linear)
- Scatter Diagrams & Frequency Trees & Averages
- Higher Data 1 (CF and Box Plots)
- Probability 2 (Sample space, Venn diagrams and experimental)
- Higher Probability (Conditional and Further Set Notation)
- Further Quadratic equations
- Quadratic Graphs 2 (a>1)
- Quadratic sequences
- One linear and one quadratic simultaneous equations
- Parts of a circle 1 & 2
- Volume 2
- Surface Area 2
- Volume and Surface Area 2
- Advanced Trigonometry 1
- Advanced Trigonometry 2
- Advanced Trigonometry 3
- Standard Form (Writing and converting)
- Standard Form 4 Operations
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Adding and Subtracting Fractions
- Scatter diagrams and Frequency trees
- Averages (From a list and tables, Stem and Leaf)
- Ratio 1 & 2
- Fractions 1, 2, and Fractional Change
- Parts of circles 2 (Arcs and Sectors)
- Cylinders
- Circle Theorems 1
- Circle Theorems 2
- Constructions & Loci
- Solve equations numerically (Iteration)
- Direct and Inverse Proportion
- Functions
- Further Algebraic Fractions
- Algebraic Proof
- Circle Graphs
- Probability 3 (Tree diagrams)
- Histograms
- Data Collection Higher
- Revise - Linear and Quadratic Graphs
- Cubic and Reciprocal Graphs
- Other Graphs (Trig, Exponetial and Transformations)
- Further graphs (Gradients/Area of curves)
- Graphs of Inequalities
- Compound measures
- Volume and Surface Area Higher 3
- Translate and Vectors 1
- Vectors 2
- Higher Vectors 1
- Higher Vectors 2 and Congruent Triangles
- Enlargement and Similarity
- Angle Facts
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Revise - Solving equations
- Frequency charts (Data Collection, Bar and Pictograms)
- Charts and Tables (Pie Chart and Two way tables)
- Probability 1 (Scale and equally likely events)
- Travel Graphs
- Bearings
- Views and Maps
- Constructions
- Loci
- Revise - Angles, Polygons, Bearings
- Revise - Simultaneous Equations
- Revise - Data (mean table, CF charts)
- Volume and Surface Area 1 & 2
- Trigonometry 1 & 2
- Angle Facts & Parallel Lines
- Polygons 1 & 2
- Pythagoras 1 & 2
- Advanced Trigonometry 1, 2, and 3
- Volume and Surface Area 2 & Views and Maps
- Compound Measures & Direct and Inverse Proportion
- Area and Perimeter & Circles
- Volume and Surface Area 1 & 2
- Parts of a circle 1 & 2
- Trigonometry 2
- Advanced Trigonometry 1
- Similarity
- Higher Vectors 1
- Circle Theorems 1
- Parts of circles 2 (Arcs and Sectors)
- Pythagoras Theorem 2
- Parts of circles 1 (Semi and quarter circles)
- Volume and Surface Area 1 (Prisms)
- Advanced Trigonometry 3
- Cylinders
- Translate and Vectors 1
- Bearings
- Circles
- Advanced Trigonometry 2
- Circle Theorems 2
- Angle Facts
- Constructions
- Vectors 2
- Area and Perimeter
- Revise - Angles, Polygons, Bearings
- Trigonometry 3
- Rotation and Enlargement
- Constructions & Loci
- Reflection
- Views and Maps
- Loci
- Higher Vectors 2 and Congruent Triangles
- Volume and Surface Area Higher 3
- Pythagoras Theorem 1
- Enlargement and Similarity
- Volume and Surface Area 2
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Trigonometry 1