Whero+2012

We are learning to understand the importance of the order of operations in order to correctly calculate problems correctly.

4 die A box ruled up with a target number.


 * Target 12 ||
 * + X - = ||

Target with two operations. Target 20.

Using calculators and our brains as calculators...

Which of the following equations is the same as 5 + 2 x 3? BEDMAS

5 + (2 x 3)= 11 (5+2)3= 21

How do you know?

Which answer matches these word problems?

A) My mum said she would give me $3 for every dollar I earned doing my paper run. If I earned $5 on Monday and $2 on Tuesday, how much would I have altogether after my mum paid me? (5+2)3=21

B) If I had 5 cans of Fanta and I was given two three packs of Fanta, how many cans of Fanta would I have altogether? 5+(2X3)=11

Fours fours challenge <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;"> Your challenge is to make as many numbers as you possibly can using only 4 fours and any operation/s. You can only make each number once.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">WALT: use divisibility rules to identify factors of numbers.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">1= all numbers <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">2= all even numbers <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">3= The digits add up to a number divisible by 3. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">4= Halve it, is it even? Yes. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">5= Ends in a 5 or 0. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">6= Even and divisible by 3. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">7=? <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">8= Quarter it, is it even? Yes. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">9= The digits add up to 9. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">10= Ends in 0.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">We are learning to compare ratios and proportions.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Use your knowledge of fractions to find which of these yellow to blue ratios make the darkest green?

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Recipe A: 3:4

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Recipe B: 4:10

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Recipe C: 3:18

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Let's make the recipes to check.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Which combination makes the strongest flavoured orange drink (orange concentrate to water)?

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">2:5 or 3:4

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">what if it was...

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">7:15 or 3:6

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">So how does a ratio work? <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">a:b

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">This means for every 'a' there is 'b' or for every 'b' there is 'a'.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">If we were making green paint and we had to use a ratio of 1:3, for every one part of blue there is 3 parts of yellow.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Let's think about the primary colours, these colours make up all of the other colours except black and white (which are actually tones).

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Picasso has three recipes for mixing green paint, they are: <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">A: One part blue with three parts of yellow (1:3) <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">B: Four parts blue with eight parts of yellow (4:8) <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">C: Three parts of blue with five parts of yellow (3:5)

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Use the cubes to find which recipe would give the darkest shade of green.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Can we figure out the equivalent fraction of each colour from our cubes? <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">How could we use more cubes to help us solve this problem?

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">We have looked at Picasso's recipe for blue. Today we are going to look at his recipe for orange.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">A: 3 parts red to 7 parts yellow <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">B: 5 parts red to 15 parts yellow <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">C: 1 part red to 4 parts yellow.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">What is the ratio and equivalent fraction for each of these recipes? <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Can you show this on your rating region? <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Which recipe gives the darkest shade of orange? How do yo know?

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Let's look at the recipes for purple. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">A: 6 parts red with 14 parts blue <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">B: 4 parts red with 6 parts blue <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">C: 7 parts red with 8 parts blue

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Without using equipment figure out the ratio and equivalent fraction for each of these recipes. <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Which recipe gives the darkest shade of purple? How do you know?

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Which blue to yellow ratio gives a darker shade of green? <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">2:5 or 3:4 <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">7:15 or 3:6 <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">1:4 or 18:80 <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">4:7 or 9:18 <span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">7:8 or 8:9

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">We are learning to add and subtract integers (positive and negative numbers).

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">-3 - + 7=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">-5 - -8=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">+12 - -7=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">+4 - -1=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">-6 - +3=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">+8 - -5=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">-3 - -1=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">-3 - -2=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">+3 + -1=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">+3 + -2=

Use your "hills and dales" to explain how these problems work with buddy? +3 + +2 =+5 –3 + +2 = –1  +3 – +2 = +1

–3 – +2 = –5 +3 + +1 = +4  –3 + +1 = –2

+3 – +1 = +2 –3 – +1 = –4  +3 + 0 = +3

–3 + 0 = –3 +3 – 0 = +3  –3 – 0 = –3

Use a number line to explain and answer these problems.

+3 + –1 = ? –3 + –1 = ?  +3 – –1 = ?  –3 – –1 = ?  +3 + –2 = ?  –3 + –2 = ?  +3 – –2 = ?  –3 – –2 = ?

Can you solve these problems mentally?

+3 + –4 = –1 + +5 =  +3 – –3 =  –4 – +2 =  +2 + +2 =  –3 + –1 =  +3 – +2 =  –3 – +2 =  +6 – +3 =  –3 – –2 =  –1 – +5 =  –3 + +2 =  +39 + –26 =  –64 + +58 =  +72 – –28 =  –47 – +45 =

Let's check our answers...

+3 + –4 = –1 –1 + +5 = +4  +3 – –3 = +6  –4 – +2 = –6  +2 + +2 = +4  –3 + –1 = –4  +3 – +2 = +1  –3 – +2 = –5  +6 – +3 = +3  –3 – –2 = –1  –1 – +5 = –6  –3 + +2 = –1  +39 + –26 = +13  –64 + +58 = –6  +72 – –28 =  –47– +45 = –92

<span style="background-color: #000000; color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 32px;">We are learning to use a range of strategies to solve multiplication and division problems.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Write these problems up twice as algorithms:

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">273 X 9= <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">1029 X 7= <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">3248 X 4=

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Can you explain how these two strategies work and how they are different?

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Yesterday we looked at the two ways we can use algorithms to solve multiplication problems today we are going to look at using standard written form to solve division problems.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Let's turn this problem into a division algorithm: <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">654/6

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Let's try another one: <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">231/4

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Can you explain in your own words how this works?

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Turn these problems into standard written form and solve them.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">279/3 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">640/8 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">743/7

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Let's practice what we have learned... <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Turn these problems into algorithms and solve them:

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">290 X 8 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">569 /6 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">1234 X 9 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">4324/4 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">333 X 5 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">8686/6

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Could you solve some of these problems using a mental strategy?

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">We are learning to multiply a whole number by a decimal fraction.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">How could we use our PK to solve a problem like this?

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">2.7 X 3=

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Could we turn this into an algorithm? <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Let's try writing it up... <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">2.7 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">__X3__

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">How can we solve this problem using a mental strategy we already use for whole numbers?

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">1.2 X 6=

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Solve these three problems by first using a mental strategy and then check by using an algorithm.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">2.5 X 4= <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">7 X 3.5= <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">P X 0.5= 9

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">We are learning to multiply a whole number by a decimal fraction.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">Double and halve these numbers...

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">16

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">144

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">81

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">15

2 x 4.7 is the same as 2 times 47 tenths.

2 x 47/10 = 94/10= 9.4

2 x 4.7= 9.4

10 x 0.4=

3 x 4.5=

5 x 4.2=

9 x 8.1=

3 x 1.4=

//**<span style="color: #800000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">We are learning to use our knowledge of fractions to solve problems involving proportions. **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">The word <span style="color: #800000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> proportion <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">is used to compare part of a group with the whole group. We normally use fractions or percentages to express proportions. **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">For example, at Outram school there is a class with 18 girls and 12 boys. What proportion of the class are girls? **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Can you give an answer as a fraction and as a percentage? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Find the equivalent fraction and/or percentage: **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.5 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">1/3 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.25 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">1/6 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">3/4 **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">At a pet shop, there were 24 pets for sale. 25% were puppies, 1/3 were turtles, 12.5% were birds, 1/6 were rats and mice and the rest were kittens. **//
 * //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">How many of each sort were on sale in the pet shop? **//
 * //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What proportion of the pets were kittens? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Find the equivalent fraction and/or percentage: **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">6/8 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">5/20 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">9/27 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.33 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.66 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">25% **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">75% **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">There are 560 people who attend Te Kuiti Primary school. 50% of the school are girls. 40% of the boys went to the skate park at least once during the holidays. 2/7 of them took scooters or bikes. The rest of them took skateboards. **//
 * //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">How many of the boys took a scooter or a bike to the skate park? **//
 * //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What proportion of the whole school took a skateboard to the skate park? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Today we are going to use our knowledge of Proportions to solve harder problems. **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Let's try this one together: **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Room 4 goes shopping, we can buy 8 cushions for $6.00, if we have $15 how many cushions could we buy? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Try this one on your own: **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> At Technology it takes 6m of cloth to make 8 pencil cases. How many metres of cloth would it take to make 20? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Find the equivalent fraction, decimal and/ or percentage... **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.8 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">1/5 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">29% **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">110% **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">2/3 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.333 **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Let's try another tricky word problem... **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">How can we use our knowledge of proportions to help us solve this problem? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">If I have 32 weeks to pay for a new cell phone that cost $80, how much should I have paid after 12 weeks? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Find the equivalent fraction, decimal and/ or percentage... **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.02 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">1/3 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">42% **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">1% **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">21/63 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.75 **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">To make 800grams of muesli, you need 400 grams of oats, 250 grams of bran flakes and 150 grams of dried fruit. **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">How much rolled oats would you need to make 160 grams of muesli? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">A country at the Olympics earned 6 bronze medals, 8 silver medals and 10 gold medals. **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What proportion of the medals were bronze? **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What proportion of the medals were silver? **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What proportion of the medals were gold? **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Give your answers as a fraction and as a percentage. Do your percentages add up to 100% **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">A country sent 32 athletes to the Olympics. 25% of these athletes won a medal in their event. **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">How many of these athletes won a medal? **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">How many of these athletes did not win a medal? **//

//**<span style="color: #800000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">WALT:solve multiplication and division problems using standard written form. **//

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">546/7

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">927/3

<span style="font-family: 'Comic Sans MS',cursive; font-size: 25.6px;">422/6

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">We are learning to solve multiplication and division problems by using proportional adjustment.

Prince Pikelet, heir to the throne, has been taking creative cooking lessons. He has

made a huge batch of spinach-flavoured biscuits that he wants members of the court

to try. So he arranges a morning tea. The servants need to make sure that each guest gets the same share of the biscuits. At the first table there are 6 seats, so the Prince puts a plate of 12 biscuits on it. There are three other tables. The table arrangement look like this:

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">

How many biscuits should the servants put at each table so that every guest will get an equal share of the biscuits?

What patterns do you notice?

Sixteen biscuits are at a four-seat table. How many should go to a two-seat table? How many to a six-seat table?

Fifteen cookies are at a five-seat table. How many should go to a one-seat table?

How many should go to a 10-seat table? How many to a two-seat table?

TPS: Explain how this strategy works.

Let's use this strategy to solve harder problems...

208 ÷ 8 = ?

104 ÷ 4 = ?

52 ÷ 2 = ?

The answer is... Let's try another problem

216 ÷ 12 = ?

108 ÷ 6 = ?

54 ÷ 3 = ?

Try this one on your own... 140 ÷ 28 =

Let's solve this problem together... 484 ÷ 22 = ? as ÷ = ?

Try to solve these problems in your head using our strategy... 368 ÷ 16 = ? as ÷ = ? as ÷ = ? as ÷ = ? 390 ÷ 15 = ? as ÷ = ? as ÷ = ? 408 ÷ 24 = ? as ÷ = ? as ÷ = ? as ÷ = ? 324 ÷ 27 = ? as ÷ = ? as ÷ = ?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">I can use place value to solve problems.

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">720/8 = 90

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">976/ 8=122

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">800 / 8= 100 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">160/ 8= 20 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">16/8= 2

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">WALT: solve addition and subtraction problems involving decimals using written algorithms.

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Adding using standard written form is easy. How can we use what we know about adding to figure out, and understand how to use an algorithm when subtracting?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Lets solve this addition problem...

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> 27.5 __<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> +8.7 __

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What do we need to remember?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">How could we use our prior knowledge to solve this if we turned it into a subtraction problem?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">27.5 __<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> -8.7 __

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Try and solve these problems...

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> 82.8 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> __-14.9__

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> 74.4 __<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> -27.32 __

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> 45.02 __<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> -16.55 __

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Algorithms again...

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Turn this word problem into an algorithm...

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Nick has 16.03m of wire, he uses 8.45m to repair a pig pen. How much wire does he have left?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Try these problems...

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">It takes Frank 5.25 minutes to run around the block. On his second attempt it takes him 4.75 minutes. What is the difference between his two times?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Harry has 80.13 litres of paint. He uses 46.45 litres painting the fence. How much paint does he have left?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Lets check how we have set up the algorithms in our book.

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Round the following numbers to the nearest tenth... **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">12.67 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">7.2218 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.99 **// //**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">1.4537202 **//

//**<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">WALT: Solve addition and subtraction problems involving decimals using mental strategies. **//

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Using equal additions...

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> To solve subtractions problems by equal additions that turn one of the numbers into a tidy number.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">55.1 - 39.8= 15.3 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">We could turn this problem into... <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 32px;">55- 39.7= <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">or <span style="color: #800000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">55.3 - 40=

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Let's look at how we have changed these problems...

<span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 32px;">55 - 39.7= -0.1 -0.1 <span style="color: #800000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">55.3 - 40= +0.2 +0.2

<span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">Let's try this one together... <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">37.3 - 19.6=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">Use equal additions to solve the following problems... <span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">96.8 - 27.5 = <span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">37.7 - 18.4 = <span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">24.5 - 6.8 =

<span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">Use equal additions to solve these word problems mentally...

<span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">Liz has 35.4L of water in her watering can, she uses 14.6L to water her flowers. How many litres of water is left in her watering can?

<span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;"> Kate's trousers were 50.2cm long, she measures them after putting them in the dryer. They are now 47.6cm long. How many cm did her trousers shrink?

<span style="font-family: 'Comic Sans MS',cursive; font-size: 32px;">Sammy has 26.7mls of eye drops left in the bottle. Each drop is 0.8mls. If she puts two drops in each eye how many mls does she have left in the bottle?

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">Using tidy numbers...

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">Try these...


 * 1) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">34.6 + 27.8 =
 * 2) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">24.9 + 203.7=
 * 3) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">6.5 - 1.98 =
 * 4) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">8.54 - 3.9=

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">Now try these...


 * 1) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">351.7 + 38.8=
 * 2) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">54.33 + 23.98=
 * 3) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">45.66 - 5.97=
 * 4) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">9.8 - 3.98=
 * 5) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">54.33 + 23.98=
 * 6) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">38.99 + 110.56=
 * 7) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">9.8 - 3.98=
 * 8) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">5.46 - 2.999=
 * 9) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">436.9 + 12.8=
 * 10) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">298.9 + 236.5=
 * 11) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">23.756 - 4.9=
 * 12) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">3.284 - 0.98=
 * 13) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">19.6 - 5.997=

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">//Check your answers with a calculator when you are finished.//

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">Using Place Value Partitioning...

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">3.45 + 6.658=

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">3 + 6 + 0.4 + 0.6 + 0.05+ 0.05 + 0.008=

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">We can also check the answers by using standard written form...

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;"> 3.45

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;"> __+6.658__

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">Now try these...


 * 1) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">6.34 + 4.646=
 * 2) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">8.436 + 3.85=
 * 3) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">14.6 - 5.58=
 * 4) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">15.3 - 4.85=

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">Are your answers correct? Use standard written form to check them.

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">Now try these...


 * 1) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">4.56 + 32.7=
 * 2) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">24.66 + 3.886=
 * 3) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">24.64 - 6.75=
 * 4) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">53.83 - 8.37=
 * 5) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">14.354 + 3.7=
 * 6) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">43.8 + 3.478=
 * 7) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">34.6 - 20.54=
 * 8) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">27.8 - 13.08=
 * 9) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">45.46 - 3.5=
 * 10) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">62.6 - 5.78=
 * 11) <span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">35.41 - 6.62=

<span style="color: #008000; font-family: 'Lucida Console',Monaco,monospace; font-size: 32px;">//Check your answers using standard written form when you are finished.//

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">Order these decimals from biggest to smallest...

<span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">0.012, 0.122, 0.124, 0.021 <span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">0.124, 0.122, 0.021, 0.012

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">How many tenths are in the following numbers...

<span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;"> 1.2, 0.9, 14.3, 3 <span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">12, 9, 143, 30

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">Let's look at how we can solve the following problem...

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">1.4 - 0.8= 0.6



<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">We could use a number line.

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;"> How can we use our knowledge of tenths to solve this problem? <span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">14 tenths - 8tenths = 6 tenths

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">What other strategies could we use? <span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">1.4 - 1= 0.4 then add 0.2 = 0.6

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">Lets solve this problem together

2.7 + 3.09 = 5.79

Try this one on your own 4.1 - 2.04= 2.06

<span style="color: #000080; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">Order these decimals from smallest to biggest...

<span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">0.334, 0.343, 0.344, 0.333

<span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">Theresa went fishing and caught 3 fish, together they weighed 3.3kgs. She gave the biggest fish to her mum, it weighed 1.6kgs. How much did her two remaining fish weigh?

<span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">Nic is painting a house, he needs 2.8l of red paint and 20.46l of white paint. How many litres of paint does he need altogether?

<span style="color: #800000; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 200%;">Emma needed fruit for her fruit salad. She bought 2.33kgs of bananas, 3.89kgs of apples and 4kg of watermelon. How many kilograms of fruit did she buy altogether?

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">We are learning how the number on the left and right of the decimal point contribute to the size of the number and how decimals can be added and subtracted.

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Look at this!

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Put these fractions in order from biggest to smallest... <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.3, 0.234, 0.24 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.3, 0.24, 0.234

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Sam has 6.7m of rope, and George has 5.4m of rope. <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Sam thinks that they will have 11.11m altogether and George thinks they will have 12.1m of rope. <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Who is wrong, Sam, George, or both of them? <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Explain how you know this.

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Mr Plow has 56.3g of steak, Rastas has 55.9g of steak. Mr Plow thinks they have 111.12g. Rastas thinks they have 111.2g. <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Who is wrong, Mr Plow, Rastas, or both of them? <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Explain how you know this.

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Solve this problem on your own...

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Hazel has 23.8cm of tape for her parcel, she needs another 15.4m of tape to finish wrapping it. How much does she need altogether? <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">39.2cm <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">38 + 1.2

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Put these decimals in order from smallest to biggest...

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.03, 0.2, 0.12 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">0.03, 0.12, 0.2

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Jenna has $29.80 in her piggy bank and $142.70 in her bank account. How much does she have altogether? <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">$172.50

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">She spends $37.90 on a new scooter. How much money does she have now? <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">$134.60

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">$58.90 is deposited into her bank account by her mum. How much money does she have now?

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Try this activity

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;"> Look at the "chocolate bars" we have made. <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">If there are 8 chocolate bars and 4 friends. How many chocolate bars would each friend get?

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What if there were six chocolate bars and only 5 friends, how many would each friend get? Use your "chocolate bars" to find out.

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">Lets check our answers on the calculator.

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">What if there was... <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">5 chocolate bars and 4 people? <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">5 chocolate bars and 2 people? <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 32px;">6 chocolate bars and 4 people?

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 200%;">Henry has 3.4 candy bars, and Tania has 1.8 candy bars. <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 200%;">Peter thinks that they will have 4.12 bars altogether. Use the Unifix cubes and calculator to find out if he is right. Can you explain why he is right or wrong?


 * __<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 200%;">Figure these out... __**

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 200%;">Jody has 4.3 candy bars. She thinks that if she eats 2.7 candy bars, she will

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 200%;">have 2.4 left. Is she right?

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 200%;">Rangi-Marie thinks that 7 x 0.4 candy bars will be 0.28. Is she right?

<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 200%;">Timoti thinks that 5.2 ÷ 4 = 1.3 (5.2 bars shared among four people). Is he right?