Main resource: TJ Credit/Int2 Book 1 Year group/Class: S3/S5 Knightswood Secondary School Department of Mathematics Scheme of Work Chapter 12 Level Credit/Int2 Period Attainment Targets Equations and Inequations Exercises and questions Ex 12.1 page 136 Additional Resources/ICT None There is scope to use learning partners here. 1 Solving Equations Learning intention – Solving simple linear equations Success Criteria – Recognises an equation, knows the simple strategies to solve equations, able to set down working correctly. 2 Solving Equations Learning intention – Solving simple linear equations Success Criteria – Recognises an equation, knows the simple strategies to solve equations, able to set down working correctly, can deal with brackets and fractions in answer. Solving Equations Learning intention – Solving more complicated equations Success Criteria – Able to deal with x² terms and apply these equation types to problem solving. Ex 12.1 page 136 None There is scope to use learning partners here. Ex 12.2 page 138 None Solving Equations Learning intention – Equations with Fractions Success Criteria – able to identify LCM of the denominators, then knows how to multiply by LCM to eliminate all fractions Ex 12.3 page 139 It may be useful to begin lesson with a starter to remind pupils of how to multiply by a fraction. i.e. 2/5 X 30 = 3 Special Notes Homework Remind class of the basic rules, i.e. “xs to one side, numbers to the other”, “change the side, chamge the sign”, “if it’s stuck to the x then it goes underneth on the other side” etc.. Illustrate with plenty of well set down examples. Reminders of multiplying out brackets and collecting like terms. Illustrate with more selected examples. none Show clear examples on the board. Expressions like (X+2)² should be written as (x+2)(x+2), leaving the associated rule to another day. Beginning with simple examples, illustrate the method on the board. Complete Ex 12.2 page 138 Complete Ex 12.1 page 136 Complete Ex 12.3 page 139 Chapter 12 Level Credit/Int2 Period Attainment Targets 1 Solving Equations Learning intention – More Equations with Fractions Success Criteria – able to identify LCM of the denominators, then knows how to multiply by LCM to eliminate all fractions, deal with different formats of fractions (e.g. Equations and Inequations Exercises and questions Ex12.4 page 140 Additional Resources/ICT Use an equation with fractions to solve as a starter Special Notes Homework Do some examples on the board by way of a reminder. Compare the two ways of writing expressions down. Complete the exercise as far as possible. 1 2x 5 (2 x 5) 4 4 5 x 3 3x 2 1 ) 4 8 2 Solving Inequations Learning intention – Solving Inequations Success Criteria – Knows to apply same rules as for solving equations, knows to change the inequality sign if dividing or multiplying by a negative. Ex12.5 page 141 As many questions as possible Use another equation with fractions to solve as a starter Solving Inequations Learning intention – Solving Inequations containing fractions, brackets and negatives Success Criteria – Knows to change the inequality sign if dividing or multiplying by a negative, knows how to deal with fractions and brackets, knows the condition for turning the inequality sign round. Solving Inequations Learning intention – Applications of Inequations Success Criteria – Can apply existing skills to problem solving, able to model questions using suitable inequations and solve Solving Inequations Ex12.5 page 141 Complete to number 8 Use an inequation with fractions to solve as a starter Ex12.5 page 141 To completion Use an inequation with fractions and brackets to solve as a starter Remember remember page 143 Illustrate the same method for dealing with fractions and clearly show how to apply it to the new format of fraction. Define an inequation and go over all the inequality signs. Do some straight forward examples which have the same familiar steps as solving an ordinary equation. Explain when to reverse the inequality sign and illustrate with suitable examples. Give further examples of type seen in questions 6, 7 and 8. Do as many as necessary. Ex12.5 page 141 To question 5 Ex12.5 page 141 To question 5 Remianing questions to be attempted by pupils initially then solution given on board. Complete the exercise Consolidation All questions Chapter 12 Level Credit/Int2 Problem Solving in Learning and Teaching Evaluation of Topic Equations and Inequations