Upper And Lower Bounds 1 9 — Interactive Lesson (KS4)

Upper and lower bounds is a completely interactive lesson for learners taking GCSE (1-9).

Learning Objectives:

1. apply and interpret upper and lower bounds when rounding or truncating numbers.

What is in the lesson:

• 32 interactive slides;
• Drag and drop activities with instant learner feedback;
• Differentiated questions upper and lower bounds, as well as answers
• Printable interactive worksheets

Teachers can use this lesson for whole-class teaching. It can also be used for practice and revision by learners at home.

If you have any issues or would like to get in touch, please email us at in**@********hs.com

Other topics in this category include

• systematic listing strategies
• estimating powers and roots of any given positive number
• indices
• surds
• fractional indices
• standard form
• recurring decimals
• ratio and proportions
• rounding and estimations
• simplify and manipulate algebraic expressions
• algebraic fractions
• factorising quadratic expressions of the form x² + bx + c
• the difference of 2 squares
• factorising quadratic expressions of the form ax² + bx + c
• simplifying expressions involving sums, products and powers
• laws of indices
• parallel and perpendicular lines
• the equation of the line segment
• quadratic equations
• trial and improvement
• translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or 2
• simultaneous equations
• linear inequalities
• quadratic inequalities
• linear sequences
• quadratic sequences

Ratio, proportion and rates of change

• compound measures
• the gradient of a straight line
• direct and inverse proportion
• simple and compound interest

Geometry and measures

• transformations
• circle definitions and properties
• circle theorems
• plans and elevations
• bearings
• arc lengths sector area
• surface areas and volumes
• congruence and similarity
• Pythagoras’ Theorem
• trigonometry
•  sine rule and cosine rule
• translations as 2D vectors
• addition and subtraction of vectors
• multiplication of vectors by a scalar
• diagrammatic and column representations of vectors

Probability

• probabilities of mutually exclusive events
• probability of independent and dependent events
• conditional probabilities with two-way tables
• conditional probabilities with tree diagrams
• conditional probabilities with Venn diagrams

Statistics

• tables and line graphs
• histograms
• cumulative frequency graphs
• box and whisker plots
• measures of central tendency
• quartiles and inter-quartile range
• scatter graphs

Designed for ages 14–16 (UK Year 10–11). Aligned to the UK National Curriculum; adaptable to US state standards.