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
GCSE Higher Lesson.
Find the Upper and Lower bounds of the results of calculations.
Starter. Worked examples involving addition, multiplication and division. Question slides. Worksheet reviewing lesson. All answers included.
Explains the rules for an answer to a suitable degree of accuracy, looks at the possibility of different answers when measurements are described using decimal places vs significant figures. Plenary looks t underestimating vs overestimating.
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.
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.
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.
“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 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.
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.
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.
Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. 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 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.
A complete lesson on ‘Stratified Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification.
Starter on calculating angles for pie charts reintroducing idea of groups being proportions of the whole.
Reminder on different types of Sampling and advantages/disadvantages of each. Stratified sampling explained and pupils asked to find the ‘sample proportion’ for data. Explains how to find frequencies of the sample. Questions on each idea. All answers included.
A complete lesson on ‘Grouping Continuous Data’, written for the new GCSE specification. Starter looks at whether data should be measured or counted leading into explanation of differences between discrete and continuous data. Explanation of why continuous data must be grouped. Examines why we don’t use bar charts for continuous data and what we do use. Questions and answers included on slides.
Whole lesson covering using proportion to change quantities of ingredients for different servings.
Worked examples
Questions
Extension questions.
All answers included
5 lessons covering
Direct Proportion Graphs
Inverse Proportion Graphs
Gradients and Rates of Change
Gradients and Instantaneous Change
Gradients and Average Change
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