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My students have done the weighing of the ingredients of a cake recipe, by choice, on groups, and making home, with these amounts, the actual cake.

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I studied with my students Batman equations, to show them how to use equations and disequations to calculate domains of the functions. It has been a very interestingwork .

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Learn how savings, interest rates, compounding, inflation, and purchasing power affect wealth • Math concepts include problem solving, percents, decimals, and data analysis

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A topic where students can understand the connection between maths and real world is Operational Research.
For example I use the following  video when I introduce the topic on O.R. in a CLIL lesson

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Lisbon tours are traditionally paved with small blocks of limestone, basalt and other materials. The knapsacks take advantage of the limestone diameters system, with the aid of a hammer, to make small adjustments in the shape of the stone. Diaclases occur in all types of rocks, particularly hard rocks, and are no more than fractures along which there was no considerable movement. These fractures are formed by rupture as a result of a stress field applied to the rock material. They intersect in several directions, some of them leading to a network of fractures that facilitates the separation of the rock into blocks.
Knitters use molds to mark zones of different colors, repeating these motifs in a linear sequence (friezes) or in the two dimensions of the plane (patterns). The geometry of the XX century proves that there are a limited number of possible symmetries in the plane: 7 for the friezes and 17 for the patterns. A study of young Portuguese students, encouraged by the Portuguese Society of Mathematics (www.spm.pt), registered 5 types of friezes and 11 types of patterns on the Lisbon sidewalks. A project is underway between the Municipal chamber ofLisbon and the Portuguese Society of Mathematics, which aims to increase the geometric richness of the Lisbon sidewalk, completing it with the missing types of symmetries.
Step on the math and have fun discovering the symmetry of the rides you tread.

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To build the model village we used our knowledge of geometric figures.

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Math is everywhere ,if we go to the market we need math,if we go on a trip we need math,if we have a problem we need math.

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Leo , Scoala Excelsis Ploiesti , Romania

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Leo , Scoala Excelsis Ploiesti , Romania

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One day I ask my children of the 5-th grade to estimate how many children or cars can fit in the school yard or I come to a classroom and i ask if  they can calculate how many children must be in this room and if there is some room left for me taking into account that there are 2 m3 for one child) .

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Calculating the area of geometric figures: calculation needs hardwood floors, ceramic tile for a home

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introducing ine

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For exemple, fractions can be used to slide a cake and share it with your loved ones. :)

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Fractions can be used to slide a cake into equal pieces and to share it with your loved ones. :)

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The picture is the outcome of an activity I did 2 years ago with 7 years old class. Everything started after I and my pupils had watched a bike competition passed along the road in front of our school (children had lot of fun cheering for the bikers)

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I use this picture to introduce the meaning of slope of a straight line

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I would show this picture before I start algebra and equations. This picture emphasises the need to collect like terms, to group together the same teams and that when changing sides they have to change gears, change sign.​

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When I have to explain interest account to my students, I usually show them the credit cards and talk with them about risky using of credit cards.

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Last year, while studying conic sections I brought one of my class to an ice cream shop near our school. We had a good italian ice cream and I asked for some empty cones to explain conic sections using a cutter to show them circle, ellipse, parabola and hyperbole

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To introduce trigonometry, I usually use this picture of a traffic signal. First I ask students what it means and then use trigonometry to calculate distances and angles.

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I use snail house when talking about Fibonacci series

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In geometry, my students, before find the shapes and then they color them with different colors.

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I proposed to my students to calculate how much alcool is in a bottle of wine, throught reading of label.

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Isometries - Symmetries.

Look at the image and indicates what is repeated and as repeats.

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Learn about discount, shipping costs using leaflets.

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Mihaela, Romania
Fractal Maths

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Points inaccessible: Determine distance from an observer point B on the shore, the trees on the other side.

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My students love comics book and they read t​hem all the time.

To make math more engaging I draw with parabolas batman's logo, here the picture.
​I try to show them how can we use math to reproduce some drawing such as it is always the same.

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Motivation for trigonometry

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Using current date from the calendar I often start my math lesson asking my pupils if the date is it an even or odd  number, which is its successor and predecessor, what day is today,what day was yesterday and what day will be tomorrow, etc.

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Maths in everyday life

More math can be found in the kitchen than anywhere else in the house. Cooking and baking are sciences all their own and can be some of the most rewarding (and delicious) ways of introducing children to mathematics. After all, recipes are really just mathematical algorithms or self-contained step-by-step sets of operations to be performed. The proof is in the pudding!

Working in the kitchen requires a wide range of mathematical knowledge, including but not limited to:

measuring ingredients to follow a recipe

multiplying / dividing fractions to account for more or less than a single batch

converting a recipe from metric (mL) to US standard units (teaspoon, tablespoon, cups)

calculating cooking time per each item and adjusting accordingly

calculating pounds per hour of required cooking time

understanding ratios and proportions, particularly in baking (ex. the recipe calls for 1 egg and 2 cups of flour, then the ratio of eggs to flour is 1:2).

Following a recipe can sometimes be tricky, especially if conversions are necessary. We Americans follow our own set of rules when it comes to most forms of measurement. Conversions make it a bit more difficult to follow recipes from other countries as they most likely use Celsius and the metric system.

Ingredienti per una tortiera da 24 cm:

700 gr di mele

3 uova

70 gr di burro

300 gr di farina 00

250 gr di zucchero

1 bicchiere di latte

1 limone

1 bustina di lievito per dolci

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This is a good image to start discussion about cylinder and its' cross-section :)

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This is a good image to start a geometry lesson about area, circle, quadrilaterals, etc

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Coding and reality.
I propose to my student to build a path with cody roby's cards. So they can use this path to give information for new Bes student how to find the room of school's Director

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Geometry: find the shapes!  Choose a colour for each kind of shapes (triangle, square, rectangle...) and colour them

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I'll show my students how Maths can be used to describe some particular forms that we can find in nature.

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I use the example of a grocery store to explain my students the concept of a function! I use the prices of fruits, the quantity and the according cost as a means to explain to them the term of the independent and non-independent value! Also in this way i found it easier to explain them how to identify a function.​

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Geometry and landscapes

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Geometrical forms all around you! Find some of them and decipt them on the cardboard.

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The clock is the easiest way to introduce  the modular arithmetic.

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Constructions games: they always play it

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in our countries...

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We work with geometry with noughts and crosses or tangram

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Interesting and effective ways to teach math. Apply to concept practical examples

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Although I am a math teacher, I am also a mother to o kindergarten child. He has a very analytical mind and he likes playing games. We choose Monopoly: he learned to trade properties, to make additions and subtractions.

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We study "tassellazioni" in geometry and i show to my students Escher's pictures and try to "create" their own picture using geobra.

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Donato, Italy

With the Monopoly game the children were able to work on different geometric and mathematical skills (money, probabilities, measurements, calculations, revenues, etc)

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Donato, Italy

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In the same line of my previous idea, we can see geometric elements in arches and how they are able to withstand enormous weights.

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Often connect mathematics to art; Here we use the proportions in the human body

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This was a picture I tool while on a school. There was a display of souvenir mugs for sale. The tiles on the wall are also interesting. There are lots of opportunities for number work and shape in this picture.

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Fractals!
I closed the geometry unit in second class showing a roman cabbage. I asked: "How does it make? Can you find a rule?" We analysed its structure to find regular shapes repeated changing size .

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Cakes to understand limits: n°/infinity and n°/0

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Using geometry in class.

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Observing this very common portuguese tiles we can work geometric shapes, symmetries and geometric friezes.

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In order to understand symmetry, we cut out paper snowflakes.

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Antonella, Italia
The students can see the advertisement below everywhere in their town. But what does it mean mathematically?
This image could be used to talk about percentage and in particular about discount

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We see Ferrari sports cars driving around us every day (since our school is in Maranello, hometown of Ferrari). What's the purpose of all those numbers behind the steering wheel

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If I owned this field, what would you do to have the same number of olive trees in each row?

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Marie-Anne, Romania
I start a lesson about prime numbers using the current date .  And from this date we make connections between numbers

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I would give them this photo taken in the school yard and ask them in what way they would make sure that they are dancing in a circle, without drawing one on the ground, how would they find the point that they should put a glass of water so that its distance from every student is the same and how could we measure the length of the arc in relation to the ratio.

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This octagonal church is a perfect object for geometry teaching.

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What does math have to do with home decorating? In order to figure out what you'll spend, you first have to know what you need. Understanding some basic geometry can help you.
Figuring area: Squares and rectangles

Imagine you're planning to buy new carpeting for your home. You're going to put down carpeting in the living room, bedroom, and hallway, but not in the bathroom. You could try to guess at how much carpet you might need to cover these rooms, but you're better off figuring out exactly what you need. To determine how much carpet you'll need, you'll use this simple formula:

A = L x W

Or in other words, "area equals length times width." This formula is used to determine the area of a rectangle or square. In the floor plan below, all of the floor space (as well as the walls and ceilings) is made up of squares or rectangles, so this formula will work for figuring the area you need to carpet.

Start by figuring the total area of the floor plan. When you're done, you can deduct the area of the bathroom, since you don't want to carpet that room. To figure out the total area of the floor plan, you'll need to know the total length and width. The total length of the floor plan shown above is 12 feet plus 10 feet, or 22 feet. The total width is 7 feet plus 5 feet, or 12 feet. Plug these numbers into your equation to get the total area of the floor plan:

A = 22 feet x 12 feet
A = 264 square feet
The total area of your floor plan is 264 square feet. Now you need to figure out the area of the bathroom so you can deduct it from the total area. The bathroom is 7 feet long and 5 feet wide, so it has an area of 35 square feet. Deducting the area of the bathroom from the total area (264 minus 35) leaves you with 229 square feet to carpet.

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during a school's trip: the octagon

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symmetry, translation, rotation
in "knights" of Escher

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Reality and models.  The  telephone....   The rate of  a telephone company has a fixed cost of  €10 to 600 minutes of calles and 12 cents for each additional minutes. What is the function of the cost? Draw it!

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To start the concept os quadratic functions, I'd show this picture. Everyone knows what is it. But not everyone realizes that we can see many parabols on it. Using a graphic calculater, we can adapt those parabols to a quadratic function each. Students realize that maths is everywere: they only need to look better.

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Volume and surface area
- How much kg stone do we need for the upper-left corners solid figure?
- How much paint do we need for that jungle gym?
- How much glass do we need for change that lamp's glass?
- How much concrete do we need for that thing? What is the figure's name? There is a quadrangle, you turn around its symmetry axle and you have this figure. What's its name?
- Could you find other solid figures in your surroundings or in the world? How can you group them?

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Introducing direct proportionality and revising measurments using whoopie pies recipe.

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During a school trip. Lake's symmetry

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Using monastery picture to understand the benefit of monastery garden .They can draw ground plan of building and the surrounding area, calculate different hight and distance from their overview stance.

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Using geography (Google Maps) to introduce Decart (Cartesian) coordinate system.

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To introduce the cylinder I show my students these pictures.

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How many seats there are in the gym? How many people could we invite to see our competition

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To introduce the ellipse I show to my students the Mennia's island built in Padova in 1775. I ask them how a gardener can realize a flowerbed in the shape of ellipse.

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Calculus in everyday life!
On some stretches of the Italian highways, the average speed is controlled between two points. If the average speed is greater than the maximum allowed, you are fined. Similar methods are used in many countries
The Lagrange's theorem guarantees that if the average speed is greater than the maximum, there was at least an instant in which the limit was exceeded.

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This year before starting to talk about mathematics I asked my pupils  to immaginatie the following situation: the numbers do not exist, but Luke should go get something to eat for everyone here .... What do you do?. It was very interesting because each of them has tried to propose something, the comrades have refuted the different proposals and ultimately the conclusion has been that without mathematics you can not stand ... someone even said "hooray maths"

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With the benefit od school garden pupils can draw ground plan of school building and the surrounding area, calculate different hight and distance from their overview stance.

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Students will cross the town and potosí of geométric figures. The calcula te the volumen and apply the concept of scale.

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Anna, Italy
Find the height of a tree using his shadow as introductory activity to trigonometry

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What is the weight of air inside your school

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1. I use this photo to present circle in Euclide's geometry, baut also to present simmetry. I think that this photo is very interesting to present circle in analitical geometry using Geogebra to put a cartesian sistem

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Watching our city.
There are very interesting and popular buildings in our city.
Watch and recognize different geometry elements and shapes is a good way to study them.

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Homework: take pictures and share

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Le nostre foto documentano "aspetti matematici" che abbiamo incontrato nei luoghi dove siamo stati in vacanza...o anche solo vicino a noi

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This is a pavement of an ancient building in my town, that usually students see when they go to conferences,  expositions and other similar activities. Once it was the public library and every student studied at its side.
After showing only the picture on the right, I would ask them: what can you see? is there any geometrical figure? great part of them would answer they can see cubes. Can you calculate the area on the floor occupied by each cube if I only give you one the size of one segment? At first they would answer they can't. Later I will show them the other figure and make them think about what they can know about angles; they would easily get that each rhombus is made up of 2 equilateral triangles and so it is possible to calculate almost everything.

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We  can  make a simple question to  our pupils as :  Can  you  find the symmetric  parts  at your body ? Can  you  find in every case  the symmetric line ?

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Students can find Math in lots of castles which are all arround our county....

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How many people are they

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It is very interesting to read posts of the other partecipants, there are a lot of ideas to use . I've already experienced some of them but not in a conscious and sistematical way.

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I haven't planned a well done path yet, however I showed my 6years old pupils how a book is, the words we use to describe specific characteristics (cover, index,page...); teaching maths, it's good looking at numbers and we began copying the numbers on the note-book and finding the different pages we needed...; the specific rule about the left and right numbering, was good to talk about odd and even numbers...; another rite is counting the absent children and then finding how many children there are at school ...; thank to many ideas I've read I can shape other interesting lessons