S3 (3.1) Algebraic Fractions.notebook April 30, 2018
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1 Daily Practice Q1. Factorise fully 12x 2-3 Q2. Write with a rational denominator and fully simplify Q3. Multiply out and simplify (x + 3) 2 + 2x Q4. State the equation of the line joining (-1, 3) and (2, 5) Today we will be starting to learn how to simplify algebraic fractions. Simplifying Algebraic Fractions How do you simplify a fraction? How do you simplify a fraction in the form? Simplifying Algebraic Fractions Examples: Simplify the following (a) (b)
2 Daily Practice Q1. Multiply out and simplify (2x + 4)(x 2 + 3x - 5) Q2. Factorise x 2 + x - 2 Q3. State the equation of the line that passes through (0, 4) and (3, 1) Q4. Solve the equation Simplifying Algebraic Fractions - Using Factorising First factorise where possible, then simplify Today we will be using factorising to simplify algebraic fractions. Examples: Simplify the following (i) (ii) Daily Practice cm Q1. Calculate the volume of the cylinder shown to 3 s.f. Q2. Multiply out and simplify (3x + 1) 2 8cm Q3. Factorise 3x 2 - x - 10 Q4. Simplify
3 Today we will be continuing to practise simplifying algebraic fractions.
4 Daily Practice Q1. Q2. State the equation of the line joining (0, 5) and (4, -8) Q3. Simplify Q4. Simplify L.I: Today we will be learning how to add/subtract algebraic fractions. Daily Practice Q1. Calculate the area of the circle shown 6cm Q2. Factorise 15x 2-5xy Q3. Multiply out and simplify (3m - 1)(2m + 4) L.I: Today we will be continuing to practise adding and subtracting fractions. Q4. Simplify
5 Express as single fractions in their simplest form Express as single fractions in their simplest form Adding/Subtracting Algebraic Fractions Adding/Subtracting Algebraic Fractions (i) k 0 (iii) x 0, 1 (iii) x -4, 5 Page 55 Daily Practice Q1. Multiply out and simplify (3x - 1)(x + 4) Q2. Factorise x 2 + 3x - 18 Q3. Multiply out and simplify 2x 2 (x 3 - x -3 ) Today we will be continuing to practise adding and subtracting algebraic fractions. Q4. Write as a single fraction x -1
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8 L.I: Today we will be learning how to muliply algebraic fractions. Multiplying Algebraic Fractions Multiplying Algebraic Fractions Follow the same process as multiplying regular fractions. Simplify where possible. You may be able to cancel terms before you multiply to make it easier. Examples: (i) (ii) Daily Practice Q1. Multiply out and simplify (3x - 4)(2x 2 + x - 5) Q2. Simplify Q3. Simplify Today we will be learning how to divide algebraic fractions. Q4. Write as a single fraction
9 Dividing Algebraic Fractions Examples: (i) (ii) Daily Practice Q1. Multiply out and simplify (3x 1) 2 Q2. Factorise x 2 11x + 24 Q3. Calculate the volume of a cone with diameter of base 16cm and height 12cm to 2 s.f. Q4. Simplify fully Today we will be completing a check-up on algebraic fractions. HW due Friday L.I: Today we will be learning how to complete Exam style questions on Algebraic Fractions. Homework Due Monday.
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11 2014 N5 Non -Calculator Today we will be continuing to practise mixed algebraic fractions. Homework Due Monday! Today we will be marking homework. Homework Due Today
12 Daily Practice Q1. Calculate the radius of a cylinder with a volume of cm 3 and a height of 9cm Q2. Multiply out and simplify (7x - 1)(x 2-3x + 4) Q3. Factorise 6x 2 + 7x - 20 Q4. Write as a single fraction
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14 Attachments Nat 5 Pack 1 Unit EF complete.pdf
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S3 (3.1) N5 Volume.notebook April 30, 2018
Daily Practice 16.3.2018 Q1. Multiply out and simplify (3x - 2)(x 2-7x + 3) Daily Practice 19.3.2018 Q1. Multiply out and simplify (2x + 3)(x 2 + 7x + 4) Q2. Factorise fully 3x 2-75 Q2. Simplify x 3 (x
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