Lesson looking at how we simplify rations which have either decimals or fractions as their component shares. Starter reviews simplifying and sharing with integer shares. Ratios with decimals looks at multiplying by powers of 10 and then simplifying where appropriate. Ratios with fractions looks at examples with common denominators and with different denominators. Differentiated slides on each topic. All worked examples and question slides include answers.

Plotting Quadratic Graphs using tables of values. Review of straight line graphs and substitution. Worked examples of different quadratic curves and what is meant by “appropriate axis”. Questions and all answers all included.

Lesson looking at using two-way tables to find probabilities. Starter is a number puzzle finding answers from sums of rows and columns. Examples of populating a two-way table and finding probabilities. Worksheet has questions with table partly filled and questions requiring table to be filled from information. All answers included. Answers for worksheet included as slides on ppt.

Starter looks at adding vectors. Demonstrates how to find the magnitude of a vector using Pythagoras. Explanation of proving vectors are parallel and then if three points are on a straight line (collinear). Worked examples and questions on all skills. All answers included on ppt.

GCSE Higher Lesson. Understand a proportional relationship and how it appears. Solve problems involving ratios changing using equivalence. Starter, worked examples, worksheet(different questions, same formats), all answers included

GCSE Higher Lesson. Understand the angle sum for polygons with different numbers of sides Solve problems involving angle sums and/or numbers of sides and missing angles in polygons. Starter, worked examples, question slides, worksheet, all answers included

9-1 GCSE lesson. Starter bingo reviewing trig ratios. Worked examples of using pythagoras and trigonometry with cuboids, pyramids and prisms. Questions. Answers provided for all questions.

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 looks at using surds with within questions such as finding areas and perimeters of shapes. Finding missing sides in right-angled triangles. Finding surface areas and volumes. Worked examples. All answers included.

Examining the language and use of recurrence relationships. Looks at linear then geometric sequences. Worked examples, questions and match-up activities follow. Then extends to include relations with more then one operation or more than one term leading to Fibonnaci-style sequences and Square Numbers. All answers included.

Starter asks pupils to describe number patterns from pictures. Then examining the properties of Linear Sequences from term-to-term rules, pictures, straight line graphs. Examples of how the general rule is used: finding terms, finding positions of terms, seeing if a number belongs in a sequence, finding common terms in two sequences. Worked examples and question slides on each topic. All answers included.

Lesson looks at the differences between arithmetic and geometric sequences through the them to term rule. Explains using a term to term rule to find the next terms. The General Rule is then explored. How to find terms from the General Rule is explained. All ideas also have question slides and all answers are included.

Looks at how we know what equations to write to solve problems. Starter includes solving equations and substitution. Examples written to trigger a structured method. Full worked examples and questions. Extension slide includes non-linear example, an example where one answer is nonsensical and one example using ratios. All answers included.

Starter look at two-way tables. Links made to similarities and differences between two-way tables and frequency trees. Worked examples including finding probabilities. Worksheet includes questions finding frequencies from proportions of the whole and extends to larger trees. All answers included. Worksheet answers provided on ppt.

Lesson examines how vectors can be combined. Starter asks pupils to identify vector required between two coordinates. Vector arithmetic with both diagrams and column vectors explained. Worked examples and questions on all skills. All answers included on ppt.

Examining the effects of using scale factors between 0 and 1. Worked examples without and with centre of enlargement. Includes worksheet for pupils to write on. All answers [including to worksheet] included on ppt.

Understand the gradient of a line as the rate of change of two variables and calculate rates of changes.

9-1 GCSE lesson: Starter covers problems with bar charts. Explanations of the need for frequency density. Examples of calculating frequency density. Worked examples of drawing a histogram. Worksheet inlcudes questions from ppt. ALL answers included.

9-1 GCSE lesson explaining how to find the equation of a tangent to a circle at a given point. Activities include writing equations of circles from centres and radii, finding perpendicular gradients. Worked examples finding the gradient a a radius, the gradient of the perpendicular line and substituting into y=mx+c to find the equation of the tangent. Full worked examples, question slides and full worked answers.