Set up and use direct and inversely proportional relationships from practical contexts.

Covers the calculation of quartiles from different sizes of data sets. Starter is a review of averages. How to find quartiles, worked examples and questions. How to construct a box plot from these quartiles. Worksheet included with different questions. ALL answers included.

Looks at reflection of functions graphically and algebraically. Explanation of f(-x) vs -f(x) using function machines to explain results. MC questions identifying graphs from reflections and identifying functions after reflections. ALL answers included.

9-1 GCSE lesson reviewing bivariate data, plotting a scattergraph, types of correlation. Examines how to draw a good line of best fit and how to use for predictive purposes.

9-1 GCSE lesson. Starter is MC quiz on identifying which circle theorem should be used to answer a question. Worked example of plotted points creating a circle theorem question. Question slide and fully worked answers.

Lesson examines how to use factorials and the product rule to find permutations. Then extends to look at how to apply these ideas when restrictions are applied to the choices.

Plot an exponential graph from a given practical situation, and interpret the graphs in terms of the problem.

Looking at how we formalise ideas from tree diagrams and Venn diagrams to explain the differences between P(A and B) vs P(A or B). Introduces formulae. Worked examples of all skills. Question slides. All answers worked through on ppt.

Lesson includes starter on equivalent ratios. Worked examples looking at similarity in side lengths, area and volume. Question slide and fully-worked answers

GCSE Higher Lesson. Understand a proportional relationship and how it appears. Use dual number lines to find a unit rate and to solve problems. Starter, worked examples, worksheet(different questions, same formats), all answers included

GCSE Higher Lesson. Understand a proportional relationship and how it appears. Use bar model diagrams to find a unit rate and to solve problems. Starter, worked examples, worksheet(different questions, same formats), all answers included

Lesson reviews squaring a bracket to lead into completing the square. Full explanation of completing the square method with worked examples. Then uses same examples to show how to solve equations. Looks at coeffiecients above 1 on the squared term. Differentiated slides to test understanding. All examples and questions have answers included.

GCSE Higher Lesson. Understand how compound shapes are made from simple polygons. Find the area of compound shapes by splitting them into simpler polygons. Starter, worked examples, worksheet, all answers included

GCSE Higher Lesson. Understand substitution of a variable into an expression or formula. Differentiated lesson exploring substituting variables which are integers, negatives and fractions. Starter, worked examples, questions, worksheet. All answers included.

GCSE Higher Lesson. Understand how to factorise expressions using the difference of two squares. Applications using both numerical and algebraic expressions . Worked examples with both numbers and letters, differentiated questions and answers. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand an expression as a function, and link them to formulae. Starter: Input-Output Loop cards Definitions of a function, domain, range and notation. Explanations of the different skills that we are asked to use with functions. Including Defining a function from a domain and range. Evaluating a function from an input. Solving a function for a specific output. Worked examples, differentiated questions. All answers included. Worksheet following style of lesson. Answers include.

GCSE Higher Lesson. Understand and using factorials: Starter. Explanation of repeated and increasing multiplication, factorial notation. Worked examples on operations with factorials, differentiated questions and answers on each rule. Looking at practical uses of factorials with a pack of cards Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Reading and writing large and small numbers using Standard Form: Starter: 10Q multiplying/dividing decimals by powers of 10. Explanation of need for standard form and how it is derived.Review of Powers of 10 and their indices. Worked examples on converting numbers to/from standard form. 10Q MC on skills. Differentiated questions and answers on skills. Problems on ordering numbers. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand and use Time Series Graphs, describe trends. Exploring data which is recorded by time intervals. Examples, including seasonal data. and then question slides. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand and use Vertical Line Charts Highlighting the similarities and differences between bar charts and vertical line charts. Examples and question slides on drawing and problem solving. Worksheet following lesson design. All answers included.