Maths - Term 4 Week 2

(1) From Auckland to Waitangi is 229 kilometres. We left Auckland at 9.39 am and arrived at Waitangi at 3.31 pm. Remember we also made three stops before we arrived at Waitangi.

How do the stops we made affect the travel time?

(ANSWER) The stops we made affected the travel time because wherever we stopped we spent a few minutes to roam around, so that made our travel longer.

(2) What is your estimate for the average speed the bus was travelling?

(ANSWER) 85km

(3) If the average speed of the bus is 80 km/h, what time would we have arrived at Waitangi if we didn’t make any stops?

(ANSWER & STRATEGY)

STOP 1: 45 minutes

STOP 2: 30 minutes  (add these times up) = 1 hour and 40 minutes

STOP 3: 25 minutes

Time we arrived at school: 3:31pm - 1 hour = 2:31pm - 31 minutes = 2:00pm = 9 minutes = 1:51pm

(4) The hairdresser has 4.5 litres of dye left. Each tint uses 0.375 millilitres of dye. How many tints can the hairdresser do?

KEYS:

Hairdresser has 4.5 litres left of dye

Each tint uses 0.375 litres of dye

STRATEGY:

0.375ml x 2 tints = 0.750ml

0.375ml x 4 tints = 1.500L

0.375ml x 8 tints = 3.000L     (add the answers)

0.375ml x 4 tints = 1.500L     (add the tints)

3.000L + 1.500L = 4.500L = 4.5 litres

8 tints + 4 tints = 12 tints (ANSWER)

(5) Three boys share two pizzas equally. Eight girls share six pizzas equally. Who gets more pizza, one of the boys or one of the girls?

BOYS: None because they shared it EQUALLY

GIRLS: None because they shared it EQUALLY

(6) Bas needs to buy 114 cans of soft drink. How many 6-packs should he get?

STRATEGY & ANSWER:

6 x 10 = 60

6 x 20 = 120  (Subtract 1 away from 20 to make 19 because 120 is 6 more than 114)

6 x 1 = 6, so, 120 - 6 = 114

20 - 1 = 19 sets of 6-packs (ANSWER)

(7) In 1912 the world record time for the 100 metre sprint was 10.6 seconds. It is now 9.69 seconds. By how much has the record changed?

STRATEGY & ANSWER:

9.69 + 0.31 = 10.0   (add 0.31 & 0.6)

10.0 + 0.6 = 10.6

0.31 + 0.6 = 0.91 seconds

MAINTENANCE:

⅗ + 4 ⅘ = 5 2/5

6/8 - ⅜ = 3/8

23.3 + 2.89 = 26.19

0.008 + 0.07 = 0.078

3.42 + 8.97 = 12.39

Triangles Maths Group

Marilyn needs to fertilise her front lawn. It measures 20 metres by 35 metres. Each bag of the fertiliser that she plans to use covers approximately 200m2. How many bags should she buy?

Remember: length X width

20 x 35 = 700m2

20 x 30 = 600

20 x 5 = 100

600 + 100 = 700m2

Each bag  has 200m2.

200 x 3 = 600m2, and half of 200 is 100.

So Marilyn needs 3 and 1/2 bags of fertiliser.

Maths Problem

Today my Triangles Maths Group solved 3 problems about Decimals.

1. Tom and Katie went for a five kilometre run. Tom took 40.23 minutes to complete the run while Katie took 40.92 minutes.

Who was faster and by how many minutes?

2. Cheryl had 3.5 litres of water to water her plants. Each plant needs 0.5 litres. How many plants can Cheryl water?

3. Sione ran 0.45 kilometres more on Friday than Saturday. On Saturday he ran 11.25 kilometres. How many kilometres did Sione run on Friday?

Can you solve these problems?

Maths poem

                Math Poem

Math is fun, math is cool

It’s an everyday session when you’re at school

Don’t be scared when adding fractions

Cause sooner or later you will take action

Math isn’t as hard as a brick

But if you try harder you might get the trick

Solving problems getting tangled in numbers

Hearing people brings out the thunder

It isn’t as easy as singing

Because math just feels like you are swinging

One, two, three, four, five

Problem solved and I’ve survived

Fractions Splat

Fractions Splat

Today I played a challenging fractions game titled Fractions Splat and I scored 360 out of 500. It was pretty challenging. I came 15th place.

Algebriac Activities.

Triangles, Squares & Pentagons:

1) Continue this pattern:

15, 18, 21, _24_, _27_, _30_, _33__

3) If the rule is ‘×7, subtract 3’ complete this pattern:

6, _39_, _309_, _2469_, _19773__, _158181___

5) Use the rule in the box to calculate

the cost of buying 2, 4, 8 and 16 CDs.

1 CD = $19.99

Cost of 2 CDs =$39.99 Cost of 4 CDs =$79.99 Cost of 8 CDs =$159.99 Cost of 16 CDs =$319.99

6) If Anna spent $200 how many CDs were bought?10

7) Use the order of operations to solve this equation:  235 – (a) = 176

What is the value of a?59

9) Fill in the missing numbers  255, 263, _271__,  _279____, _287______, _295______ state the rule for the pattern.

10) Timothy swam many laps every Friday morning.

The distances he swam in his first 4 times were:

100m, 200m, 450m and 700m, 950 m, 1,200m

If he continued this pattern, how long would his next 2 swims be?

Algebriac Activities. Wk3

Triangles, Squares & Pentagons:

1) Continue this pattern:

15, 18, 21, _24_, _27_, _30_, _33__

3) If the rule is ‘×7, subtract 3’ complete this pattern:

6, _39_, _309_, _2469_, _19773__, _158181___

5) Use the rule in the box to calculate

the cost of buying 2, 4, 8 and 16 CDs.

1 CD = $19.99

Cost of 2 CDs =$39.99 Cost of 4 CDs =$79.99 Cost of 8 CDs =$159.99 Cost of 16 CDs =$319.99

6) If Anna spent $200 how many CDs were bought?10

7) Use the order of operations to solve this equation:  235 – (a) = 176

What is the value of a?59

9) Fill in the missing numbers  255, 263, _271__,  _279____, _287______, _295______ state the rule for the pattern.

10) Timothy swam many laps every Friday morning.

The distances he swam in his first 4 times were:

100m, 200m, 450m and 700m, 950 m, 1,200m

If he continued this pattern, how long would his next 2 swims be?