Fractions, Decimals, Shapes and Reasoning
Year 6 Mathematics UK National Curriculum 60-minute lesson
Learning Objectives
Convert between fractions, decimals, and percentages confidently Simplify fractions using common factors Identify and classify 2D shapes based on their properties Recognise and build nets of 3D shapes Explain mathematical relationships using proper vocabulary
Starter Activity: Fraction-Decimal-Percentage Matching
Work in pairs Match equivalent values Examples: 1/2 = 0.5 = 50% Discuss your reasoning with your partner
Simplifying Fractions
Find the highest common factor (HCF) Divide both numerator and denominator by the HCF Example: 12/16 = 3/4 (dividing by 4) Simplified fractions are easier to work with
Converting Between Forms
{"left":"Fraction to Decimal: Divide numerator by denominator\nDecimal to Percentage: Multiply by 100","right":"Percentage to Fraction: Write over 100, then simplify\nPractice with common equivalents: 1/4 = 0.25 = 25%"}
2D Shape Investigation
Measure angles and sides of your shapes Classify each shape (triangle type, quadrilateral, polygon) Record properties: vertices, edges, angles Challenge: Draw a shape with given dimensions
Properties of 2D Shapes
Triangles: 3 sides, 3 angles (total 180°) Quadrilaterals: 4 sides, 4 angles (total 360°) Regular shapes: all sides and angles equal Key vocabulary: vertices, edges, parallel lines, right angles
3D Shapes and Nets
Fold the nets to create 3D shapes Compare nets to solid objects Count faces, edges, and vertices Challenge: Visualise the 3D shape from the 2D net
Reasoning Challenge
Convert 3/5 to decimal and percentage. Explain your method. Which 2D shape has all equal sides and angles? If this net folds into a cuboid, how many faces will it have? Explain your thinking to your partner
Lesson Summary
We converted between fractions, decimals, and percentages We simplified fractions using common factors We investigated properties of 2D and 3D shapes We used mathematical vocabulary to explain our reasoning Next lesson: We'll apply these skills to real-world problems