L.O.:To use knowledge of ratio to scale up and down. Ratio and scale 28.5.17 L.O.:To use knowledge of ratio to scale up and down.

Success Criteria: I understand that scale is the same as ratio. I can work out dimensions from scale drawings and models. I can scale up or down, using direct proportion.

AFL q: Attempt independently:

What is scale? Architects make models of buildings, like Al Bahar towers. Models are 3-D representations of objects. When we make a scale copy of an object, the original and the copy have the same proportions.

Ratio and models A model of a dinosaur has a scale of 1:12 This means that for every 1cm of the model the real life size is 12cm TTYP: The head on the dinosaur model is 8 cm in length. How long is the head of the real dinosaur?

Some general rules ÷ All the “real” measurement’s are multiplied or divided by the scale factor Are you going from scale drawing or from life size? Bigger or smaller X Smaller Model/Plan Bigger Life size ÷

The model of the dinosaur is 1:12 This means that for every 1 cm of the model, the real skeleton measures 12cm 8cm on the model = 8 x 12 in real life 8 x 12 = 96 The head of the real dinosaur is 96 cm

Test yourself Below are two measurements of a the real car. A model is made using a scale of 1:10 What is the length of the model? What is the height of the model 37cms 13.2cms

Scale drawings Here is a plan of a garden greenhouse shed 1.5cm 2.5cm Scale 1:125 7cm 6cm patio 9cm Find the actual length of the patio, shed & garden. Find the actual width of the greenhouse & garden

Some general rules ÷ All the “real” measurement’s are multiplied or divided by the scale factor Are you going from scale drawing or from life size? Bigger or smaller X Smaller Model/Plan Bigger Life size ÷

Main task: Textbook: Page 90 Red: Complete independently. Challenge: Reattempt AFL q. Blue/Yellow: q1-6 independently Challenge: Think q Green: q1-4 ws

AFL q: re-attempt independently:

Plenary summary: What does a scale of 1 : 60 represent? If I am going from a drawing to actual size would I divide or multiply? Give me some examples where you would See and use scale? A scale model or drawing has exactly the same shape as the original object, and all the same proportions, but a different overall size.

L.O.: To multiply fractions. 29.5.17

Success Criteria: I can multiply fractions by whole numbers. I can multiply fractions by mixed numbers. I can simplify fractions.

Can you name the parts of a fraction?   ? numerator ? denominator

? ? ? What sort of fractions / numbers are these: proper fraction   ? proper fraction ?   mixed number ?   improper fraction

Whole numbers have a denominator of 1.         Whole numbers have a denominator of 1. Multiply numerators and denominators. Cancel down and change to a mixed number if necessary.

Main task 1:    

  2 × 3 6   = = 3 × 4 12

Main task 2:        

        =

Main task 3:          

  1 2   5 1

Cancelling before multiplication   Cancelling before multiplication 1 4     3 7 Which is easier?

Plenary q: Is he correct? Multiplying always makes things bigger: 2 x 3 = 6 6 is bigger than both 2 and 3 Is he correct?

  of means ×     = =

L.O.: To divide fractions. 30.5.17 Success Criteria: I can divide a fraction by another fraction. I can divide a mixed number by a fraction. I can divide fractions by whole numbers.

Warm-up:   Challenge:

= ÷ × Turn the dividing fraction upside down and change ÷ to ×.             = ÷ × Turn the dividing fraction upside down and change ÷ to ×. Multiply numerators and denominators. If necessary cancel down and change to a mixed number.

          =   ÷ ×   =           ÷ ×           = ÷   ×             = ÷ ×         ÷   = ×

        =

                   

× ÷ Whole numbers have a denominator of 1.             ÷ × Whole numbers have a denominator of 1. Turn dividing fraction upside down and multiply numerators and denominators. Cancel down and change to a mixed number if necessary.

   

Division always makes things smaller Division always makes things smaller. If I divide up a rich, tasty chocolate cake, I always get a smaller piece than the whole cake. 12 ÷ 4=3 3 is less than 12 Plenary q: Is she correct?

 

L.O.: To revise knowledge of percentages and equivalent fractions. Success Criteria: I can convert a fraction to a decimal. I can convert a fraction to a percentage. I know the main equivalent fractions and percentages off by heart.

AFL q: Complete independently:

How do you change a fraction to a percentage? Fraction > Percentage > Decimal Hint: Percentage means “Out of 100” Multiply x 100 over 1! Challenge: What if the fraction already has a denominator of 100?

Warm-up: Convert these fractions to percentages with your partner: Green Blue/Yellow Red

TTYP: How do you find a percentage of an amount? e.g. Find 50% of 12? Make the % a fraction (out of 100). Divide the amount by the denominator. Multiply by the numerator. 50% = ½ , 12 divided by 2 = 6, 6 x 1 = 6 50% of 12 = 6

Find the following % of amounts: Challenge: Can you find a faster way of completing q 3 knowing the answer from q 2??

Main task: Green: Page 80 q 1-6 independently. Yellow: Page 80 q 1-10 independently. Blue: Page 79 q1-8 independently. Red: Page 81 ws

Plenary:

L.O.: To read timetables. Success Criteria: I can read times in the 24hour clock. I can convert times from 12 hour clock to 24 hour clock. I can complete word problems involving 24 hour times and timetables.

Warm-up: AFL q, attempt independently:

12/24 Hour Clock Examples 8 pm becomes 9 pm becomes 6:30 pm becomes 2300 2200 2100 2000 1900 1800 1700 1600 1500 1400 1300 1200 11 pm 10 pm 9 pm 8 pm 7 pm 6 pm 5 pm 4 pm 3 pm 2 pm 1 pm midday 1100 1000 0900 0800 0700 0600 0500 0400 0300 0200 0100 0000 11 am 10 am 9 am 8 am 7 am 6 am 5am 4 am 3 am 2 am 1 am midnight 12/24 Hour Clock To go from 12 hour clock to 24 hour clock just add 12 to the hour: Examples 8 pm becomes 9 pm becomes 6:30 pm becomes 11:30 pm becomes 4:20 pm becomes 3:10 pm becomes 2000 2100 1830 2330 1620 1510

12/24 Hour Clock Examples 2000 becomes 2100 becomes 1730 becomes 2300 2200 2100 2000 1900 1800 1700 1600 1500 1400 1300 1200 11 pm 10 pm 9 pm 8 pm 7 pm 6 pm 5 pm 4 pm 3 pm 2 pm 1 pm midday 1100 1000 0900 0800 0700 0600 0500 0400 0300 0200 0100 0000 11 am 10 am 9 am 8 am 7 am 6 am 5am 4 am 3 am 2 am 1 am midnight 12/24 Hour Clock To go from 24 hour clock to 12 hour clock just subtract 12 to the hour: Examples 2000 becomes 2100 becomes 1730 becomes 2208 becomes 2006 becomes 1350 becomes 8 pm 9 pm 5:30 pm 10:08 pm 8:06 pm 1:50 pm

Time 12/24 hour clock 24 23 13 14 22 15 21 20 16 19 17 18

AM: Before Noon (Ante Meridiem) 0300 0515 0830 Give the am times in 24 hr clock 0545 1020 1130

PM: After Noon (Post Meridiem) 1500 1715 2030 Give the pm times in 24 hr clock 1745 2220 2330

Time 3 pm 4:45 pm Elapsed Time? 1645 1500 1500 to 1600 = 1 hour 3 pm to 4 pm = 1 hour 1600 to 1645 = 45 minutes 4 pm to 4:45 pm = 45 minutes Elapsed time = 1 hour 45 minutes Elapsed time = 1 hour 45 minutes

Time 7:10 pm 9:30 pm Elapsed Time? 2130 1910 7:10 pm to 9:10 pm = 2 hours 1910 to 2110 = 2 hours 2110 to 2130 = 20 minutes 9:10 pm to 9:30 pm = 20 minutes Elapsed time = 2 hour 20 minutes Elapsed time = 2 hour 20 minutes

* Using Timetables * * * * * 2314 2302 2254 2248 2243 2237 2225 2214 2202 2154 2148 2143 2137 2125 2114 2102 2054 2048 2043 2037 2025 Until Hour Every And 1114 1102 1054 1048 1043 1037 1025 1014 1002 0954 0948 0943 0937 0925 0914 0902 0854 0848 0843 0837 0825 Scawby Bus Station Milfield Atcliffe Worsley Catby Bigby Alton Bus Station * * * * * * 1. What time does the 0825 bus from Alton arrive at Scawby? 0914 2. What time does the 0943 bus from Catby arrive at Scawby? 1014 3. What time does the 2048 bus from Worsley arrive at Milfield? 2102 4. How long does it take to get from Atcliffe to Milfield? 8 min 5. How long does it take to get from Alton to Scawby? 49 min 6. What time does the last bus from Bigby arrive at Milfield? 2302

Using Timetables 2314 2302 2254 2248 2243 2237 2225 2214 2202 2154 2148 2143 2137 2125 2114 2102 2054 2048 2043 2037 2025 Until Hour Every And 1114 1102 1054 1048 1043 1037 1025 1014 1002 0954 0948 0943 0937 0925 0914 0902 0854 0848 0843 0837 0825 Scawby Bus Station Milfield Atcliffe Worsley Catby Bigby Alton Bus Station Mary lives at Bigby. She has a dentist appointment at Scawby at 1110. What is the latest bus she can catch to ensure that she is on time? 0937 Robert lives at Alton. He catches the first bus of the day to visit a friend in Atcliffe. He then travels on to Scawby, arriving there at 1414. What time did he leave Atcliffe? 1354

Main task: Red: page 87 complete independently. Challenge: Page 88 Blue: Complete pg 87 independently. Challenge: Think q. Yellow: pg 87 q 1-12 ws Green: pg 87 q 1-9

Plenary: