Lesson looking at finding Common Factors and Highest Common Factors of Algebraic Expressions. Starts with review of factors and common factors for number. Uses listing factors for algebraic expressions to introduce ideas before looking at a more factorising approach. Plenary looks at working backwards from factors to expressions using Venn diagrams. All worked examples and question slides have answers included.
9-1 GCSE lesson.
Starter: Converting from terminating decimals into fractions.
Definitions of terminating, recurring and non-repeating decimals.
How to know if a fraction is a terminating or non-terminating decimal [non-calculator] using prime factors.
How to convert from a recurring decimal to a fraction using algebra.
All ideas have worked examples.
Differentiated slide of questions.
All answers included.
Starter looks at factorising numbers using square numbers as one of the factors. Rational and Irrational numbers are explained and defined. Surds are then defined and explained in the context of square roots. Simplifying a surd is demonstrated and full simplification is explained using root 48. Question slides on each skill included. All answers provided.
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.
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.
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.
5 lessons covering
Direct Proportion Graphs
Inverse Proportion Graphs
Gradients and Rates of Change
Gradients and Instantaneous Change
Gradients and Average Change
5 lessons covering the Algebraic Proportion Unit:
Proportional Relationships
The Constant of Proportionality
Using Directly Proportional Relationships
Using Inversely Proportional Relationships
Practical problems with Proportional Relationships
Differentiated Codebreaker
Two different sets of questions using the same keycode.
Worksheets prepared with and without keycode to allow for use in classroom or for homework.
Includes;
a) PPT with keycode and all answers
b) Worksheets with
Tasks and keycode
Just tasks to use with PPT keycode
Two different sets of questions using the same keycode.
Worksheets prepared with and without keycode to allow for use in classroom or for homework.
Includes;
a) PPT with keycode and all answers
b) Worksheets with
Tasks and keycode
Just tasks to use with PPT keycode
Differentiated Codebreaker
Two different sets of questions using the same keycode.
Worksheets prepared with and without keycode to allow for use in classroom or for homework.
Includes;
a) PPT with keycode and all answers
b) Worksheets with
Tasks and keycode
Just tasks to use with PPT keycode
Differentiated Codebreaker
Two different sets of questions using the same keycode.
Worksheets prepared with and without keycode to allow for use in classroom or for homework.
Includes;
a) PPT with keycode and all answers
b) Worksheets with
Tasks and keycode
Just tasks to use with PPT keycode
Two different sets of questions using the same keycode.
Worksheets prepared with and without keycode to allow for use in classroom or for homework.
Includes;
a) PPT with keycode and all answers
b) Worksheets with
Tasks and keycode
Just tasks to use with PPT keycode
9-1 GCSE lesson exploring how to describe sequences using recurrence relationships.
2 starters: the first looking at general rules of common sequences, the second using worded questions to explore term-to-term and general rules. Worked examples explaining how recursive descriptions follow from term to term rules. Questions. Plenary MC quiz looking at arithmetic and geometric sequences.
Looking at how we calculate conditional probabilities. How the dependence between the events affects the probabilities and calculations. Worked examples. Question slide includes 6 questions.All answers worked through and included on ppt.