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 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 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.

Lesson covering the four operations with surds. Worked examples of each skill. Differentiated workheet slides. All answers included.

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.

Explores using substitution to solve simultaneous equations when at least one coefficient is 1 when none of the coefficients is 1. Starter looks at rearranging Worked examples and questions on all ideas. All answers included.

Drawing and describing inequalities using number lines. Examples of single and multiple inequalities are explored. Questions include both naming and drawing inequalities. All answers included.

Using the balance method to solve 1. One-step equations 2. Two-step equations 3. Equations with Brackets 4. Equations with unknowns on both sides 5. Equations with unknowns on both sides where both sides are fractions Negative and non-integer examples. Worked examples of all skills. Questions on all skills. All answers provided.

"If the ratio of boys to girls in a class is 3:5 and there are 8 more girls, how many pupils are in the class?" Lesson explaining the concept in different ways [bar-model approach and words]. Fully worked examples. Questions on each style of response. All answers included.

Lesson reviews expressions through multiple choice questions. Explains the grid method for multiplication, first with numbers and then using algebra. Uses the idea of the grid method to expand single brackets using FL method [First Last]. Expanding Brackets Bingo. All ideas have worked examples, questions and all answers included.

Lesson explores how to move from writing expressions in words to using letters and how this move helps to write formulae and equations. How to write simple expressions using letters. How to simplify expressions using letters. How to write two step problems and the importance of units being consistent [£ and p]. Full worked examples, questions and all answers included.

Lesson looks first at the difference between regular and irregular polygons. The angle sum for polygons is then explored. Explanation of how to find the interior angle of a regular polygon, worked examples and questions. Then how to find the exterior angles of regular polygons. Worked examples and questions. All answers included.