# Les maths

Unit 8: Multiplication and Division of Decimals

Unit 8: Multiplication and Division of Decimals I Can Statements

I can use front-end estimation to place the decimal when I need to find the product of a decimal number and a whole number.

I can use front-end estimation to place the decimal when I need to find the quotient of a decimal number and a whole number.

I can use different estimation strategies (front-end estimation, compatible numbers, rounding and compensation) to predict products and quotients of decimal numbers.

I can solve problems using multiplication and division of decimal numbers.

STUDENTS NEED TO PRACTICE THEIR MULTIPLICATION AND DIVISION FACTS! IF THEY DO NOT KNOW THEIR FACTS THEY WILL STRUGGLE. FACTS CANNOT BE TAUGHT, THEY ARE TO BE MEMORIZED.

https://nl.mathgames.com/skill/6.31-multiply-decimals-with-numbers-up-to-1000

https://nl.mathgames.com/skill/6.33-divide-decimals-by-whole-numbers

https://nl.mathgames.com/skill/6.34-divide-decimals-by-whole-numbers

or any multiplication or division game.

Unit 7: Fractions I Can Statements (Chapter 7 in textbook)

I can use models to show that an improper fraction is greater than 1.

I can show improper fractions as mixed numbers.

I can show mixed numbers as improper fractions.

I can place fractions, mixed numbers and improper fractions on a number line and explain why I placed them where I did.

I can show an improper fraction using pictures, numbers and models (pattern blocks, snap cubes, fraction pizza, etc.)

I can show a mixed number using pictures, numbers and models (pattern blocks, snap cubes, fraction pizza, etc.)

Games are available in Google Classroom with you child's Google account.

**Unit 6 - Ratio and Percents (Chapter 6)**

**I Can Statements:**

**6N5.1 I can make or draw a ratio.**

**6N5.2 I can write a ratio from a model or picture.**

**6N5.3 I can write a ratio in different ways.**

**6N5.4 I can find examples of ratios from everyday life and write them in ratio form.**

**6N5.5 I can explain the part/whole and part/part ratios of a set.**

**6N5.6 I can show that I understand equivalent ratios.**

**6N5.7** **I can solve a ratio problem.**

**Helpful Websites:**

Nelson - Try it out! (extra practice)

Ration Proportion and Percent Games

The following link has a number of percent games at varying levels of difficulty which will help you prepare for the test: http://www.maths-games.org/percentage-games.html

The game Percent Shopping is particularly challenging, however, it demonstrates how we use percent in everyday life.

Enjoy!

Unit 5 - Motion Geometry

I Can Statements...

I can show that a shape is congruent to its image.

I can transform a shape repeatedly.

I can rotate a shape repeatedly.

I can reflect a shape repeatedly.

I can perform two or more transformations of a figure.

I can draw and describe the shape of an image after several transformations..

I can describe how a shape is transformed to create its image.

I can perform one or more transformations of a figure and record the coordinates.

I can look at a design that has been transformed and tell what its original shape was and what transformations were required to make the design.

I can create a design using one or more figures and describe what transformations were used.

I can name the coordinates of the vertices of the given shape.

I can transform a shape and name the coordinates of the vertices of its image.

I can describe how a shape was transformed.

Helpful Websites

http://www.teacherled.com/resources/translation/translationload.html

http://www.learnalberta.ca/content/me5l/html/Math5.html?launch=true

http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell17.swf

http://www.harcourtschool.com/activity/icy_slides_flips_turns/

http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/TranslateShapesShoot.htm

https://www.mathplayground.com/ShapeMods/index.html

http://www.hoodamath.com/mobile/games/transformationgolf.html https://www.onlinemathlearning.com/transformation-games.html

https://www.mathgames.com/skill/8.17-identify-reflections-rotations-and-translations

https://www.youtube.com/watch?v=R20TGq4GKVQ

http://www.alloprof.qc.ca/BV/pages/m1258.aspx

**Patterns: "I can" statements **

**6PR1. Demonstrate an understanding of the relationships within tables of values to solve problems.**

- I can identify and use a table of values that shows a pattern
- I can complete a table of values by knowing the patterns in the table
- I can tell how the numbers in one column of a table of values relate to the numbers in the other column
- I can represent the relationship in a table of values using pictures, words, or manipulatives
- I can predict and check the value of an unknown term by using a table of values
- I can create a rule to describe the relationship between two columns of numbers in a table of values.
- I can identify missing numbers or rules in a table of values.
- I can identify errors in a given table of values.
- I can describe the pattern in each column or row of a table of values.
- I can create a table of values to solve problem and describe the pattern

**6PR3. Represent generalizations arising from number relationships, using equations with letter variables. [C, CN, PS, R, V]**

- I can write a mathematical expression to describe the relationship in a table
- I can represent a pattern rule using a simple mathematical expression (4d or 2n + 1)

**6PR4 Demonstrate and explain the meaning of preservation of equality, concretely and pictorially.[C, CN, PS, R, V]**

- I can model equations on a pan balance
- I can write examples of equal equations (3b = 12 is the same as 3b+5 =17 )

**Helpful Websites:**

Number Patterns:

http://www.scweb4free.com/patt2.html

Describing Relationships in Tables:

Function Machine (input and output)

Writing Expressions:

Writing Variable Expressions to Represent Word Problems

Equal Equations:

http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html?open=instructions

UNIT 2

Dear Parents/Guardians,

The unit we are currently studying in Math is Unit 2: Number Relationships. In this unit students will find the factors and multiples of various numbers. They will also be learning about prime and composite numbers. One way you can help your child succeed in this unit is by practicing multiplication and division facts with them. Students should be able to quickly name the multiples of the numbers from 0 to 12. Flash cards or games, such as those found at www.mathplayground.com, can make this process more enjoyable. We are also exploring negative integers and the order of operations. If your child requires any additional practice they may use the questions from Chapter 3 of the textbook (please note that the unit number and the chapter in the textbook are not the same). Thank you so much for supporting your child’s learning and development.

http://www.learnalberta.ca/content/mf5ed/html/math5.html?golesson=2

http://slideplayer.fr/slide/3683774/

Sincerely,

Mme Morgan

UNIT 1

Good afternoon Parents/Guardians,

I wanted to give you a better look at what students need to know for this unit. As well, if students need any extra practice they may use any questions from Chapter 2 of our textbook. *** We will only briefly look at decimal numbers in this unit as we will revisit them in another unit later on.

Unit 1

Students should:

- Demonstrate an understanding of place value, including numbers that are greater than one million and less than one thousandth.
- Solve problems involving large whole numbers and decimal numbers.

Students will be able to:

- explain how the pattern of the place value system, i.e., the repetition of ones, tens and hundreds within each period, makes it possible to read and write numerals for numbers of any magnitude.
- provide examples of where large and small numbers are used; e.g., media, science, medicine,
- identify which operation is necessary to solve a given problem, and solve it.
- estimate the solution to, and solve, a given problem.
- determine the reasonableness of an answer.

In order for students to stay on top of their studies, I would ask that students please review their Math for a few minutes each night at home. I also recommend searching online for fun games and helpful websites as well as use YouTube for videos.

Thank you again for your continued support!

Sincerely,

Mme Morgan

Unit 9 - Les mesures

I can...

- identify, classify, measure, and draw five different types of angles

- identify the sum of the interior angles of a triangle and a polygon

- calculate and create a formula for the perimeter, area, or volume of a figure with some dimensions given

http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell16.swf

http://www.logicieleducatif.fr/math/geometrie/geometrie.php

http://www.jeuxmaths.fr/exercices-de-maths-angles.html

### Unit 8 - Multiplication and Division of Decimals

**I Can Statements**

I can predict products and quotients of decimals, using estimation strategies.

I can solve problems that include the multiplication and division of decimals

I can place a decimal point in a product using front-end estimation

I can correct errors of decimals point placement just be looking at it.

I can place a decimal point in a quotient using front-end estimation.

**Helpful Websites**

Multiplying decimals by whole numbers

**Useful Videos**

Spyguys - solving problems with decimals

Games

https://www.free-training-tutorial.com/math-games/decimal-spy-guys.html

https://www.mathgames.com/decimals

http://www.math-play.com/multiplying-decimals-game.html

Unité 7 - Les fractions

6N4.1 I can show that an improper fraction represents a number greater than 1.

6N4.2 I can represent an improper fraction with manipulatives, pictures, words and with numbers.

6N4.3 I can show improper fractions as mixed numbers.

6N4.4 I can represent mixed number with manipulatives, with pictures, words and with numbers.

6N4.5 I can show mixed numbers as improper fractions.

6N4. 6 I can place fractions, mixed numbers and fractions on a number line and explain why I placed each one where I did.

Vidéo https://www.youtube.com/watch?v=dsGIwMp2J6c

Helpful websites:

Fact Monster: Improper and Mixed Number Pizzas

There are additional games listed in Google Classroom

Unit 6 - Ratio and Percents (Chapter 6 in the text)

I Can Statements:

6N5.1 I can make or draw a ratio.

6N5.2 I can write a ratio from a model or picture.

6N5.3 I can write a ratio in different ways.

6N5.4 I can find examples of ratios from everyday life and write them in ratio form.

6N5.5 I can explain the part/whole and part/part ratios of a set.

6N5.6 I can show that I understand equivalent ratios.

6N5.7 I can solve a ratio problem.

Helpful Websites:

Nelson - Try it out! (extra practice)

Ration Proportion and Percent Games

http://www.maths-games.org/percentage-games.html (The game Percent Shopping is particularly challenging, however, it demonstrates how we use percent in everyday life.)

https://www.mathplayground.com/ASB_RatioBlaster.html

https://www.mathplayground.com/ASB_RatioStadium.html

Enjoy!

Unit 5 - Transformations

I Can Statements…

I can show that a shape is congruent to its image.

I can transform a shape repeatedly.

I can rotate a shape repeatedly.

I can reflect a shape repeatedly.

I can perform two or more transformations of a figure.

I can draw and describe the shape of an image after several transformations..

I can describe how a shape is transformed to create its image.

I can perform one or more transformations of a figure and record the coordinates.

I can look at a design that has been transformed and tell what its original shape was and what transformations were required to make the design.

I can create a design using one or more figures and describe what transformations were used.

I can name the coordinates of the vertices of the given shape.

I can transform a shape and name the coordinates of the vertices of its image.

I can describe how a shape was transformed.

Helpful Websites

http://www.teacherled.com/resources/translation/translationload.html

http://www.learnalberta.ca/content/me5l/html/Math5.html?launch=true

http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell17.swf

http://www.harcourtschool.com/activity/icy_slides_flips_turns/

http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/TranslateShapesShoot.htm

Interesting videos

https://www.youtube.com/watch?v=JUA6GnbbaUM

https://www.youtube.com/watch?v=NY2cDTpsvBA

Unit 3 - Patterns

**Patterns: I can statements **

**(Chapter 1 in textbook)**

**6PR1. Demonstrate an understanding of the relationships within tables of values to solve problems.**

- I can identify and use a table of values that shows a pattern
- I can complete a table of values by knowing the patterns in the table
- I can tell how the numbers in one column of a table of values relate to the numbers in the other column
- I can represent the relationship in a table of values using pictures, words, or manipulatives
- I can predict and check the value of an unknown term by using a table of values
- I can create a rule to describe the relationship between two columns of numbers in a table of values.
- I can identify missing numbers or rules in a table of values.
- I can identify errors in a given table of values.
- I can describe the pattern in each column or row of a table of values.
- I can create a table of values to solve problem and describe the pattern

**6PR3. Represent generalizations arising from number relationships, using equations with letter variables. [C, CN, PS, R, V]**

- I can write a mathematical expression to describe the relationship in a table
- I can represent a pattern rule using a simple mathematical expression (4d or 2n + 1)

**6PR4 Demonstrate and explain the meaning of preservation of equality, concretely and pictorially.[C, CN, PS, R, V]**

- I can model equations on a pan balance
- I can write examples of equal equations (3b = 12 is the same as 3b+5 =17 )

**Helpful Websites:**

Number Patterns:

http://www.scweb4free.com/patt2.html

Describing Relationships in Tables:

Function Machine (input and output)

Writing Expressions:

Writing Variable Expressions to Represent Word Problems

Equal Equations:

http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html?open=instructions

Dear Parents/Guardians,

The unit we are currently studying in Math is Unit 2: Number Relationships. In this unit students will find the factors and multiples of various numbers. They will also be learning about prime and composite numbers. One way you can help your child succeed in this unit is by practicing multiplication and division facts with them. Students should be able to quickly name the multiples of the numbers from 0 to 12. Flash cards or games, such as those found at www.mathplayground.com, can make this process more enjoyable. We are also exploring negative integers and the order of operations. If your child requires any additional practice they may use the questions from Chapter 3 of the textbook (please note that the unit number and the chapter in the textbook are not the same). Thank you so much for supporting your child’s learning and development.

http://www.learnalberta.ca/content/mf5ed/html/math5.html?golesson=2

http://slideplayer.fr/slide/3683774/

Sincerely,

Mme Morgan

Good afternoon Parents/Guardians,

I wanted to give you a better look at what students need to know for this unit. As well, if students need any extra practice they may use any questions from Chapter 2 of our textbook.

Unit 1

Students should:

- Demonstrate an understanding of place value, including numbers that are greater than one million and less than one thousandth.
- Solve problems involving large whole numbers and decimal numbers.

Students will be able to:

- explain how the pattern of the place value system, i.e., the repetition of ones, tens and hundreds within each period, makes it possible to read and write numerals for numbers of any magnitude.
- provide examples of where large and small numbers are used; e.g., media, science, medicine,
- identify which operation is necessary to solve a given problem, and solve it.
- estimate the solution to, and solve, a given problem.
- determine the reasonableness of an answer.

In order for students to stay on top of their studies, I would ask that students please review their Math for a few minutes each night at home. I also recommend searching online for fun games and helpful websites as well as use YouTube for videos.

Thank you again for your continued support!

Sincerely,

Mme Morgan

Les liens utiles pour le perimètre et l'aire

http://keepschool.com/fiches-de-cours/primaire/math/aires-volumes-perimetres.pdf

http://www.alloprof.qc.ca/BV/pages/m1199.aspx

https://fr.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-basics

Unit 9 (Ch 8 of textbook)

Quiz 1:

- Identifying angles (review of gr 4 and 5)
- Mesuring angles
- Drawing angles
- Finding the missing angle of a triangle
- Finding the missing angle of a quadrilateral

Please see games below post. A quick google search of these topics also yields more games and helpful sites!

This video is very helpful in seeing how we multiply decimal numbers using visuals.

This video from Learn Alberta provides in depth examples of multiplying and dividing decimals. We have viewed this a few times in class and it has been very helpful.

### Unit 8 - Multiplication and Division of Decimals

**I Can Statements**

I can predict products and quotients of decimals, using estimation strategies.

I can solve problems that include the multiplication and division of decimals

I can place a decimal point in a product using front-end estimation

I can correct errors of decimals point placement just be looking at it.

I can place a decimal point in a quotient using front-end estimation.

**Helpful Websites**

Multiplying decimals by whole numbers

**Useful Videos**

Spyguys - solving problems with decimals

Unité 7 - Les fractions: Test le vendredi 16 mars 2018

6N4.1 I can show that an improper fraction represents a number greater than 1.

Je peux démontrer qu’une fraction impropre représente un nombre supérieur à 1.

6N4.2 I can represent an improper fraction with manipulatives, pictures, words and with numbers.

Je peux représenter une fraction impropre de façon concrete, avec des images, mots, et nombres.

6N4.3 I can show improper fractions as mixed numbers.

Je peux exprimer des fractions impropres sous forme de nombres fractionnaires.

6N4.4 I can represent mixed number with manipulatives, with pictures, words and with numbers.

Je peux représenter un nombre fractionnaire de façon concrete, avec des images, mots et nombres.

6N4.5 I can show mixed numbers as improper fractions.

Je peux démontrer des nombres fractionnaires sous forme de fractions impropres.

6N4. 6 I can place fractions, mixed numbers and fractions on a number line and explain why I placed each one where I did.

Je peux placer les fractions,des nombres fractionnaires et des fractions impropres, sur une droite numérique et expliquer les stratégies utilisées pour en déterminer leur position.

Vidéo https://www.youtube.com/watch?v=dsGIwMp2J6c

Helpful websites:

Fact Monster: Improper and Mixed Number Pizzas

Notes from Friday, February 23rd, 2018 Remember: For review students can work on pages 203-204.

Pour trouver 10% d’un nombre, on divise le nombre par 10.

10% de 80 = 8

10% de 120 = 12

10% de 10 = 1

Pour trouver 25% d’un nombre, on divise le nombre par 4.

25% de 60 = 15

25% de 12 = 3

25% de 120 = 30

Pour trouver 50% d’un nombre, on divise le nombre par 2.

50% de 70 = 35

50% de 140 = 70

50% de 4 = 2

Pour trouver 5% d’un nombre, on divise 10% en 2.

5% de 20 = ?

10% de 20 = 2 alors 5% de 20 = 1

5% de 60 = ?

10% de 60 = 6 alors 5% de 60 = 3

Pour trouver les autres % on peut combiner les autre pourcentages que nous connaissons:

35% = 25% + 10%

60% = 50% + 10%

90% = 100% - 10%

40% = 50% - 10% OU 10% + 10% + 10% + 10%

75% = 25% + 25% + 25%

30% = 10% + 10% + 10%

Par exemple:

60% de 80 = ?

50% de 80 = 40

10% de 80 = 8

alors...60% de 80 = 48

30% de 40 = ?

10% de 40 = 4

10% de 40 = 4

10% de 40 = 4

alors...30% de 40 = 12

Notes from Tuesday, February 20th, 2018 (This will help with homework)

**Unit 6 - Ratio and Percents (Chapter 6)**

**I Can Statements:**

**6N5.1 I can make or draw a ratio.**

**6N5.2 I can write a ratio from a model or picture.**

**6N5.3 I can write a ratio in different ways.**

**6N5.4 I can find examples of ratios from everyday life and write them in ratio form.**

**6N5.5 I can explain the part/whole and part/part ratios of a set.**

**6N5.6 I can show that I understand equivalent ratios.**

**6N5.7** **I can solve a ratio problem.**

**6N6 I can show that I understand percent using pictures, numbers, and words.**

**6N6.6 I can show a percentage as a fraction and a decimal.**

**6N6.7 I can solve a problem involving percents.**

**Helpful Websites:**

Nelson - Try it out! (extra practice)

Ration Proportion and Percent Games

The following link has a number of percent games at varying levels of difficulty which will help you prepare for the test: http://www.maths-games.org/percentage-games.html

The game Percent Shopping is particularly challenging, however, it demonstrates how we use percent in everyday life.

Enjoy!

Unit 5 - Motion Geometry (Chapter 5 in the textbook)

I Can Statements...

I can show that a shape is congruent to its image.

I can transform a shape repeatedly.

I can rotate a shape repeatedly.

I can reflect a shape repeatedly.

I can perform two or more transformations of a figure.

I can draw and describe the shape of an image after several transformations..

I can describe how a shape is transformed to create its image.

I can perform one or more transformations of a figure and record the coordinates.

I can look at a design that has been transformed and tell what its original shape was and what transformations were required to make the design.

I can create a design using one or more figures and describe what transformations were used.

I can name the coordinates of the vertices of the given shape.

I can transform a shape and name the coordinates of the vertices of its image.

I can describe how a shape was transformed.

Helpful Websites

http://www.teacherled.com/resources/translation/translationload.html

http://www.learnalberta.ca/content/me5l/html/Math5.html?launch=true

http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell17.swf

http://www.harcourtschool.com/activity/icy_slides_flips_turns/

http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/TranslateShapesShoot.htm

https://www.mathematiquesfaciles.com/cours_maths/exercices-sur-la-translation