A lesson covering what exactly a proportion is and the ways in which we can write them using words, fractions , decimals or percentages. Starts with proportions of colours in shapes, moves to worded questions. All solutions included.

Lesson using idea of a function machine to explain the definitions and explore examples of direct proportion. Covers use of division and how to express using multiplication. Worked examples. Questions on identifying direct proportion and on finding missing values. All answers provided.

How do Ratio and Proportion relate to each other? Definitions , then worked examples and questions. ll answers provided.

Lesson using the ideas of Direct Proportion to solve problems involving unit conversion (length, mass) and currency exchange rates. Worked examples. Questions for each idea. All Answers provided.

Lesson explains simplifying firstly using rows of diagrams then using HCF. Worked examples and slides of questions firstly with the HCF provided , then with pupils needing to find the HCF themselves.

Lesson covering the definition of a ratio and then examples and questions on writing 2 part and 3 part ratios in different contexts. Worksheet slide included to test understanding. All answers included.

Lesson covering using proportional reasoning to solve “Best Buy” problems. Worked Examples, Questions and ‘worksheet style slides’. All answers provided.

Calculating solutions to proportion problems using the Unitary Method. Full explanation of why and how. Worked examples, individual questions and slides of multiple questions which could be used as worksheets. All answers included

Lesson covering displaying ratios as bar-models. Sharing using a ratio into two parts or three parts. Includes differentiated questions. All answers included.

Lesson using a ratio to find a quantity given the other share. Examples use bar models and equivalent ratios. Fully-worked examples. Questions to demonstrate understanding. Also explores finding the total shared altogether from a ratio and one share. Fully worked examples and questions to demonstrate understanding. All answers included.

Lesson looking at solving ratio questions using a structured worded approach [total shares, 1 share etc]. Full examples with 2 part and 3 part ratios. Questions covering 2 part ratios and 3 part ratios. Differentiated worksheet slide. All answers included.

Lesson examines solving single variable inequalities using the balancing method. Comparisons made with solving linear equations through side-by-side worked examples. Extends to introduce two inequality signs and to examine what the effect of x-1 is upon inequality signs. Worked examples and question slides include all answers.

Lesson looking at the definitions of algebraic words [term, expression, inequality, equation, identity]. Multiple choice quiz. Work on difference between equation and identity and then question slide. Extends to look at how identities can require expanding brakcets and simplifying to show that two sides are equal.

Lesson reviews how to factorise a quadratic into brackets and then looks at how to use this skill to solve equations. Full worked examples and Question slides. All answers provided.

Lesson explaining the use of the quadratic formula. Explanation of how to find a,b,c.Step by step worked examples and explanations. Question slides with fully worked answers. Plenary looks at rearranging into appropriate form. ALL answers included.

Starter reviews single inequalities (naming and drawing) and listing integers. Explains how to draw multiple inequalities including sloping lines. Reviews how to draw a straight line. Questions on all skills. All answers included.

Lesson starter includes recognising inequalities with vertical and horizontal lines, plotting inequalities. Lesson explores inequalities including sloping lines first with two inequalities and then with three. Worked examples and questions on each skill. All answers included.

Lesson explores how we graph up to 4 inequalities on a single graph. Starter looks at single variable inequalities. Lesson concentrates on expressions such as -3<x<3 and -2<y<4 before combining them to name and then draw rectangular regions. Questions on each skill [naming and drawing]. All answers provided.

Solving Problems with multiples of pi. Starter matches formulae for formula involving pi. Explanation that using pi is more accurate than decimals/significant figures. Examples of problem solving involving areas of sectors, volumes and surface areas of cylinders and cones. Worked examples for all ideas. Questions and answers included.

Reviews naming straight line graphs. Explores naming regions through examining coordinates. Explains how to differentiate between “less than” and “less than or equal to” using a dashed line. Worked examples and questions on horizontal and vertical lines. Then looks at diagonal lines such as y=x or y=2x+1 wiht worked questions and examples. Differentiated question slide on drawing inequalities (reproduced as word document). All answers included.