Maths

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Power of <strong>Maths</strong>: Paper 1 – Section 1 8__ 4. Show, by long division, that 5 is a terminating decimal and that ___ 11 is a recurring decimal. 9 Check your answers on the calculator. ____ ________ 5 | 8·00 9 | 11·00000 Using your calculator [Model: Casio fx-85GT PLUS ], press the fraction button: _____ Input the fraction and press equals. To turn the fraction into a decimal press: S⇔D Activity 6: Constructing lines of length root 2 and root 3 OBJECTIVE: To learn how to use your compass and set square to draw lines with irrational lengths __ __ Follow the instructions on page 7 to construct √ 2 and √ 3 on the same diagram. O –2 –1 0 1 2 6
Number 1 __ Constructing a line of length √ 2 : 1. Starting at O, draw a line of 1 unit along the number line going in the positive direction. Call this line OA. 2. Draw a line segment [AB] perpendicular to [OA] of length 1 unit at A. B 3. Join O to B as shown to the right. | OB | 2 2 2 = + = ⇒ | OB | = 1 4. Draw a circle of centre O and radius | OB | . O A 5. Mark where the circle cuts the number line on the positive side as C. 1 __ (d) 1 2 to 0 (h) 1·2 to 0 __ | OB | = | OC | = √ 2 = __ [Use the graph to calculate correct to one decimal place.] Calculator: √ 2 = [Use the calculator to calculate correct to three decimal places.] __ C Constructing a line of length √ 3 : 1. Draw a line segment [BD] perpendicular to [OB] of length 1 unit. 1 2. Join O to D as shown to the right. B | OD | 2 = 2 + 2 = ⇒ | OD | = 3. Draw a circle of centre O and radius | OD | . 1 4. Mark where the circle cuts the number line on the positive side as E. __ O 1 A | OD | = | OE | = √ 3 = [Use the graph to calculate correct to one decimal place.] __ Calculator: √ 3 = [Use the calculator to calculate correct to three decimal places.] OBJECTIVE: To position various numbers on the number line 1. −4 −3 −2 −1 0 1 2 3 4 5 Using the number line, find the distance of (a) 5 to 0 __ (e) − 2 3 to 0 __ (b) −4 to 0 (f) − √ 2 to 0 (c) 3 to 0 (g) π to 0 Activity 7: Working with absolute values 7
Page 1 and 2: LEAVING CERTIFICATE MATHS HIGHER LE
Page 3 and 4: 1 Number SECTION Activity 1: Identi
Page 5 and 6: Number 1 Activity 3: Working with p
Page 7: Number 1 2. State which real number
Page 11 and 12: Number 1 (e) 1 __ 3 of 1 __ 6 = % (
Page 13 and 14: Number 1 3. Write the following num
Page 15 and 16: Number 1 Activity 11: Understanding
Page 17 and 18: Number 1 3. Round off the following
Page 19 and 20: Number 1 (c) R (d) H Slope = 4·8 S
Page 21 and 22: Number 1 (a) What can you say about
Page 23 and 24: Number 1 Activity 8 1. (a) 50% ( b)
Page 25 and 26: Activities in Power of Maths Paper
Page 27 and 28: Activities Activity 6 ACTION OBJECT
Page 29 and 30: Activities Activity 31 ACTION OBJEC
Page 31 and 32: Activities Chapter 9: Inequalities
Page 33 and 34: Activities Section 5: Financial Mat
Page 35 and 36: Activities Activity 16 ACTION Explo
Page 37 and 38: Activities Chapter 20: Quadratic Fu
Page 39 and 40: Activities Chapter 24: Applications

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