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This lesson focuses on developing problem solving skills in algebraic fractions. Students will engage in activities that require creative thinking, teamwork, and independent inquiry. They will solve equations and simplify expressions involving fractions. Plenary activities and self-assessment will help students reflect on their learning progress.
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Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Real life cross/curricular links? Where are we in our journey? Which ones are you using? PLT Skills LESSON OBJECTIVES Always aim high! We are learning to: • Finding connections between different words. (Which PLT skills?) • Accurately solve algebraic equations involving fractions. (Grades B/A) AUTHOR www.mistrymaths.co.uk
Which ones are you using? BRAIN IN GEAR Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Equation Expand Simplify EXTENSION Develop your own Mathematical anagrams as above as a creative thinker.
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills EXTENSION TASK Simplify the following: Simplify the following: 2 1) 1) 2) - - + - - + = = = 2 x 5 4 x 3 - - + = = = 10 12 = = = 5 10 12 5 3 4 2
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ALGEBRAIC FRACTIONS EXAMPLES Solve each of the following equations: (b) (a) + - 2 5 = = + - 2 5 = = 2 x 3 4 x 7 + - 2 5 = = 6 28 2 5 = = 6 28 3 7 x 6 x 6 x 28 x 28 4 2 5𝑥 - 21 3𝑥 + 19 12 140 = = + 21 - 19 + 21 - 19 5𝑥 3𝑥 33 121 = = ÷ 5 ÷ 5 ÷ 3 ÷ 3 𝑥 𝑥 = =
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ALGEBRAIC FRACTIONS TASK (GRADE B) 1) Solve each of the following equations: (a) (b) (c) (e) (d) (f) EXTENSION (GRADE A) Show that each algebraic fraction simplifies to the given expression: 1) (a) (a) (b) (c) (d)
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ALGEBRAIC FRACTIONS MINI-PLENARY Spot the mistake below: -12 – 20 = -32
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately solve algebraic equations involving fractions. What grade are we working at? DISCOVERY PLT Skills
PLENARY ACTIVITY SOLVING EQUATIONS GRADE B EXAM QUESTION Solve the equation: You must show your working out. + 1 = + 1 = 3 x 5 + 1 = 15 5 3 1 = 15 x 15 x 15 8𝑥 + 11 15 = - 11 - 11 𝑥 𝑥 8𝑥 4 = = = (4 marks) ÷ 8 ÷ 8
What grade are we working at? Where are we in our journey? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about solving algebraic equations involving fractions. It can be a skill or a reflection, or something else that might be prominent in your brain.
Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity How well do you understand the task? . I fully understand I don’t understand I nearly understand www.mistrymaths.co.uk
Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work. www.mistrymaths.co.uk