Trial and Improvement — Interactive Lesson (Ages 14–16)

☆☆☆☆☆ Add your review • Year 10–11 • 🎓 Interactive Lesson & Activities

A 34-slide interactive GCSE lesson on trial and improvement: solving equations with no exact value by testing and refining values to 1 or 2 decimal places.

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How do you solve an equation with no exact answer? This 34-slide interactive lesson teaches trial and improvement, a systematic way to home in on a solution.

Mastering Trial and Improvement at GCSE

Students learn to solve equations that have no exact value by trial and improvement: substitute a value, decide whether the result is too big or too small, and improve the next guess. A worked example solves x² + x = 10, trying x = 2, 3, then 2.7 and 2.8 to find x correct to 1 decimal place. Students then find solutions to 2 decimal places for equations such as x² + x = 14, x² + 5x = 30 and y³ + 2y = 170.

What’s Included

34-slide interactive lesson on trial and improvement
Learning objective on solving equations with no exact value
A step-by-step worked example with a table of trials
Questions to 1 and 2 decimal places
Quiz and fill-in-the-blank questions with instant feedback

Key Benefits for Students

Builds a systematic method instead of random guessing
Practises substituting and comparing accurately
Shows how to decide between two close values
Instant feedback on answer questions

Why Teachers Love It

No prep — ready for whole-class teaching on an interactive whiteboard
A long, structured lesson that can be split across sessions
Self-marking questions support independent practice
Suits teaching, revision and homework
Worked examples model how to lay out the trials

Love this? You’ll love…

A dependable addition to a GCSE algebra topic, giving students a clear layout to use whenever an equation cannot be solved exactly. A tidy table of trials is what earns the marks in the exam.

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FAQ

What year group is this for? Years 10–11 (ages 14–16), GCSE.

Does it cover cubic equations? Yes — for example y³ + 2y = 170.

Is it self-marking? Yes, with instant feedback on the questions.

Year Groups	Year 10–11
Resource Type	🎓 Interactive Lesson & Activities
Format	Digital Only
Curriculum	England & Wales — KS4 (Years 10–11)
Added	22 April 2019