GCSE Higher Lesson.
Combine two or more functions into a single composite function, using the correct notation.
Starter: Complete mapping diagrams.
Explanation uses input-output machines to explain importance of order. Worked examples, differentiated questions and answers.
Worksheet following lesson design. All answers included.
Exploring solving Simultaneous Equations where one equation is non-linear [quadratic]. Examples include factorising the quadratic, solving the quadratic with the formula, making the equations eqaul to each other rather than substituting. Full worked examples of all skills. Question slide broken into skills. All answers included.
GCSE Higher Lesson.
Adding/subtracting large/small numbers using Standard Form:
Starter:10Q MC on converting to/from Standard Form.
Converting numbers between powers of 10. Worked examples on each of the skills, separate differentiated questions and answers on each rule. Harder mixed problems.
Worksheet following lesson design. All answers included.
9-1 GCSE lesson.
Starter reviews averages from a set of data.
Explanation of what Cumulative Frequency is, how to find it and how to plot it.
How to find the Median, Lower Quartile and Upper Quartile from a CF graph.
How to find the inter-Quartile Range from this information.
Worksheet version of questions slide.
Al answers included.
9-1 GCSE lesson covering square, cube, triangular numbers, Fibonacci sequence and connections between them. Includes 10 investigative questions on square and cube numbers [answers included].
Recognise and use the graph of a direct proportion relationship.
Review of straight line graphs. Link with directly proportional graphs and +ve x-axis. Worked examples and questions
Looking at how we calculate conditional probabilities. How the dependence between the events affects the probabilities and calculations. Worked examples. Question slide includes 6 questions.All answers worked through and included on ppt.
A complete lesson on ‘Grouping Discrete Data’, written for the new GCSE specification. Starter looks at whether data should be counted or measured and reinforces the differences between discrete and continuous data. Rationale for grouping examined. Examples of data being grouped, tallied and then represented. Questions and answers on slides.
A complete lesson on ‘Grouping Continuous Data’, written for the new GCSE specification. Starter looks at whether data should be measured or counted leading into explanation of differences between discrete and continuous data. Explanation of why continuous data must be grouped. Examines why we don’t use bar charts for continuous data and what we do use. Questions and answers included on slides.
Explains the rules for an answer to a suitable degree of accuracy, looks at the possibility of different answers when measurements are described using decimal places vs significant figures. Plenary looks t underestimating vs overestimating.
Lesson covering using proportional reasoning to solve “Best Buy” problems.
Worked Examples, Questions and ‘worksheet style slides’.
All answers provided.
Lesson exploring expanding single brackets involving surds. Then looks at expanding two brackets, including a single bracket squared. All explanations include worked examples and all question slides include answers.
GCSE Higher Lesson.
Understand and using two Laws of Indices:
Numbers with negative indices
Numbers with fractional indices
Starter: 10Q MC on writing numbers using indices.
Worked examples on each of the rules, separate differentiated questions and answers on each rule.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Converting between decimal time and time in hours and minutes. Starter finding days between two dates. Worked examples. Question slides. Entering time on a calculator. Worksheet reviewing lesson. All answers included.
9-1 GCSE Lesson: Starter: 10 questions Multiple Choice on Writing Numbers in Standard Form. Explanations & worked examples multiplying and dividing numbers in Standard Form including adjustments when product/quotient isn't between 1 & 10. Differentiated worksheet of 20 questions, All answers included.
Using differences and second differences to find the general rule for quadratic sequences. Lots of examples with n^2 , 2n^2, 3n^2 etc. Worked examples and questions on all skills. All answers included.
GCSE Higher Lesson.
Understand the angle sum of exterior angles for polygons with different numbers of sides.
Solve problems involving exterior angles and missing angles in polygons.
Starter, worked examples, question slides, worksheet, all answers included
“If a:b = 3:4 and b:c = 5:6, find the ratio a : b : c”. Lesson examining both algebraic and worded examples of combining ratios. Full explanation of use of LCM and equivalent ratios. Fully worked examples. Questions of both types. All answers included.