GCSE Higher Lesson.
Rearrange a formula where the subject appears once.
Starter: Substitution and solving to solve algebraic problems
Explanation of subjects, objects and variables in formulae. Worked examples , differentiated questions and answers.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Multiply and divide large and small numbers using Standard Form:
Starter:10Q MC reading and writing numbers in SF.
Worked examples on each of the skills, separate differentiated questions and answers on each skill.
Worksheet following lesson design. All answers included.
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.
9-1GCSE lesson. Starter 10 Multiple Choice questions on converting numbers between powers of 10. Worked examples on adding & subtracting with numbers in Standard Form.
Differentiated worksheet with 20 questions.
Plenary of exam style questions. 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.
9-1 GCSE lesson. Explains perpendicular thorough diagrams and then through algebra. Includes questions examining the gradient of perpendicular lines and questions finding perpendicular lines through a specific point.
Whole lesson compliant with 9-1 GCSE specifications. Starter reviews finding upper and lower bounds and looks at calculating bounds for two variables. Examples of questions where bounds or error intervals are applied. GCSE exam style questions alkso included. 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.
Lesson explores rationalising involving single expression denominators, denominators with the surd multiplied by a coefficient and the use of a conjugate where the denominator expression requires the difference of two squares method to remove the square root. All skills are demonstrated by worked examples and differentiated question slides are included. Exam style questions included. 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.
Lesson uses alternate angles and angles on a straight line to explain why angles in a triangle up to 180 degrees.
Worked examples and questions on finding missing angles. Extends to include isosceles triangles, then exterior angles and opposite angles. All answers included.
Lesson exploring the use of letters with function machines to describe a relationship. Reviews two-step function machines to find outputs and then introduces the ideas of using letters as the inputs. Looks at what the expression looks like if the output is a letter or if both are letters. Worked examples, questions and 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.
Lesson explores solving non-linear equations graphically. Examples look at adding horizontal lines [y=4 etc] and then sloping lines [y=x+2] to solve different problems.
Examines 4 types of graphs: Linear, Quadratic, Cubic and Reciprocal. Defines properties of each and similarities (intercept). Multiple Choice questions looking at matching names and then equations to graphs.
Starter using Pythagoras to find diagonals of quadrilaterals. Use of Pythagoras to explain equation of a circle based on the origin. Extends to look at circles not centred on the origin. Plenary looks at an example of simultaneous equations with a circle. Worked examples and question slides. 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.