Algebra

Sites to practise

http://www.mathgoodies.com/lessons/vol7/equations.html

https://www.ixl.com/math/algebra-1/write-variable-equations

https://www.ixl.com/math/grade-4/write-variable-equations-to-represent-word-problems

Describing Graphs

http://www.tv411.org/reading/understanding-what-you-read/reading-charts-and-graphs/activity/1/2

http://www.mathsisfun.com/data/images/bar-chart-movies.gif

Line Graphs

The line graph below shows people in a store at various times of the day.  (Title)



http://www.mathgoodies.com/lessons/graphs/line.html



http://www.mathgoodies.com/lessons/graphs/line.html  ( to practise)


A graph that uses points connected by lines to show how something changes in value (as time goes by, or as something else happens).

https://www.mathsisfun.com/definitions/line-graph.html

Summarizing graphs.

Homework
Summarize the graph below.
It is based on a survey of 70 students.

A sample response.

The graph used is a bar graph and it is based on a survey in which 70 students participated. The graph’s objective is to show the most favorable pizza topping of those 70 students. 

The majority of the students prefers the pepperoni, but a close second is the sausage topping, mushroom and olive topping and the cheese topping wrap up the graph sitting on last and penultimate place.

In conclusion, pepperoni in first being the most preferred, followed by sausage, mushroom and olives and finally cheese.

F.P.

Summarizing Graphs

The graph used is a pie chart and shows the eye colour of students in a class. The chart considers three colours of eyes: brown, blue and green.

The graph shows that half of the students in the class have blue eyes. The other half of the class have brown or green eyes. However, there are more students with brown eyes than green eyes.

In conclusion, the majority of students have blue eyes, followed by brown eyes and the fewest students have green eyes.




The graph used is a bar chart and shows how long animals can hold their breath. It considers whales, dolphins and seals. The time used is minutes and the range is gfrom 0 to 20 minutes.

From the graph we can see that whales can hold their breath for almost 20 minutes, Dolphins can hold their breath for 12 minutes and seals for 7 minutes.

In conclusion, whales can hold their breath for the longest period and seals for the shortest period.

Images: google images
Text: elaborated by S.Isolica

Describing Graphs

1 Introduction (Here you say what the diagram is about. )

The pie chart is about the pets in Year 7. The chart is divided into 4 parts and each part represents one class of Year 7.

2 Message of the diagram

The largest number of pets are in form 7GI. There are 16 pets.
The second largest number of pets are in form 7HK. There are 8 pets.
So there are more than twice as many pets in form 7GI.
The chart shows that there are only 2 pets in form 7CS and 3 in form 7VR.

3 Conclusion

So we can say that the most pets of Year 7 are in form 7GI and the least in form 7CS. There are more than 50 per cent of all the pets in one form - form 7GI.

Summary

The pie chart is about the pets in Year 7. The chart is divided into 4 parts and each part represents one class of Year 7.

The largest number of pets are in form 7GI. There are 16 pets.
The second largest number of pets are in form 7HK. There are 8 pets.
So there are more than twice as many pets in form 7GI.
The chart shows that there are only 2 pets in form 7CS and 3 in form 7VR.

So we can say that the most pets of Year 7 are in form 7GI and the least in form 7CS. There are more than 50 per cent of all the pets in one form - form 7GI.

Source:

http://www.englisch-hilfen.de/en/words/charts.htm

Graphs

Graph 1






Graph 2




Graph 3





Graph 4




Google images

Types of graphs

http://www.mpmschoolsupplies.com/p-16551-chart-types-of-graphs.aspx

Writing and solving equations

Write the equation then solve the problem.

1.       A school will hold a Thanksgiving dinner on November 24^th to celebrate what families are thankful for during this year. 276 students have already confirmed their presence two weeks ago. The school has 536 students in total. There are X students that have yet to confirm presence. 

2.       If the total number of people at the Thanksgiving dinner will be 1023 and it is known that 536 are students. There are Y people that will be in the dinner who are not students. 

3.       The staff that is organizing the dinner has already got 483 chairs. 1,023 people have confirmed their presence until now. Staff will still need to provide X number of chairs. 

 4.       By the end of last week 276 students have confirmed their presence to the Thanksgiving dinner. If each student brings 4 people to the event, how many people in total will be at the event?

5.       There are around 1,050 people showing up for dinner.  The school has to organize the tables.  If there are 150 tables available. How many people can sit at each table?


Solve these equations:

1. 8 = 2y

2. w + 8 = 9

3. 

h 3

=

1

4. h + 2 = 18

5. k + 10 = 18

6. 2 = j – 10

Source : https://www.ixl.com/math/grade-8/solve-multi-step-equations

Algebra Basics: What Is Algebra? - Math Antics

http://www.mathgoodies.com/lessons/vol7/equations.html


https://www.ixl.com/math/grade-5/write-variable-equations-word-problems

Algebra Basics: Solving Basic Equations Part 1 - Math Antics

Mounting an Algebraic Equation

	Each sentence expressed as an algebraic equation.
	Sentence Algebraic Equation A number increased by nine is fifteen. x + 9 = 15 Twice a number is eighteen. 2x = 18 Four less than a number is twenty. x - 4 = 20 A number divided by six is eight.

1. Twice a number is 28 is the same as 2x=28.

2. Three is 21 divided by a number is the same as 3 = 21/x

3. Twelve is sixteen less than four times a number is the same as 12=  4x - 16

Group work

Now it is your turn to write the following problems as equations then find the value of x.

1. Jeanne has $17 in her piggy bank. How much money does she need to buy a game that costs $68?

2. Helen is x years old. In thirteen years she will be twenty-four years old. How old is Helen?

3. Suzanne took  x  dollars from her savings account to buy some presents for Thanksgiving. 

Her old balance was $350, and her new balance is $280. How much did she spend?

4.A large pizza pie with 15 slices is shared among x students so that each student's share is 3 slices.

How many students are there?

http://www.mathgoodies.com/lessons/vol7/equations.html

Measurement & Volume

I can find the volume of an object using the formulas V = l x w x h and V = b x h.

Volume = length x width x height

Volume

1 a. Find the volume of this rectangular prism. unit is cm
2 a. Find the volume of this rectangular prism. unit is cm
3 a. Find the volume of this rectangular prism. unit is cm	.

https://www.ixl.com/math/grade-5/volume-of-cubes-and-rectangular-prisms

https://www.ixl.com/math/grade-5/volume-of-irregular-figures-made-of-unit-cubes

https://learnzillion.com/lesson_plans/8556-use-multiplication-v-l-x-w-x-h-to-find-the-volume-of-a-solid-figure

Maths Homework : Fractions,decimals and percentage

1. In the school car park, 73% of the cars were national cars and 0.71 were imported cars. Which cars had a larger percentage?

2. Thais and Laura were reading their library books.

Thais read 0.63 of her book and Laura read 58% of hers.

Who read more?

 3.   Murillo visited 32% of his favorite websites. Martin visited 0.35 of his favorite websites and Matias visited a 1/3 of his favorite websites.  Who visited a greater percentage of websites?

4.       Spelling  Test Results (maximum score 100 %)

Student	Fraction	Decimal	Percentage
A			40%
B	1/3
C		0.66
D	1/2		80%
E	8/10

a.   Who got the highest score? 

b.   Who got the lowest score?

c.   Who got the second highest score?

Word Problems: Fractions,Decimals and Percentage.

 1. At Shane's car park, 64% of the cars were blue. Across the street, 0.6 of the cars parked at Felix's car park were blue. Which car park had a greater percentage of blue cars?              

2. Nancy and Devon are trying to finish their math homework before their favorite TV show starts. Nancy finishes 0.5 of her problems. Devon finishes 47% of her problems. Who finishes a greater percentage of her problems in time?

 3.   Mitch visited 55% of his favorite websites. Robert visited 0.57 of his favorite websites. Who visited a greater percentage of his favorite websites?

 4.           Test Results (maximum score 100 %)

Student	Fraction	Decimal	Percentage
A			50%
B		0.66
C	3/5
D			80%
E	9/10

a.   Who got the highest score? 

b.   Who got the lowest score?

c.   Who got the second highest score?

d.   Who got 6% more than student C?

e.   Who got 30% less than the highest score?

Convert Decimals to Percentages

                        Convert the decimal numbers below to a percentage

Still have doubts? Go back and watch the videos as many times as necessary.

Remember to copy the decimal numbers.

1.  0.815 

2.  0.051 

3.  8.064 

4.  3.69 

5.  0.0743 

6.  7.05 

7.  0.007 

8.  3.009 

Challenge Yourself!

9. Which of the following two options are correct?

a. 50% + 0.04 = 0.5004
b. 50% + 0.04 = 0.54
c. 50% + 0.04 = 50.04%
d. 50% + 0.04 = 54%

10. Which of the following two options are correct?

a. 7% + 3.5 = 3.57
b.. 7% + 3.5 = 0.105
c. 7% + 3.5 = 10.5%
d. 7% + 3.5 = 357%

http://www.mathsisfun.com/converting-decimals-percents.html

Math Antics - What Are Percentages?

Word Problems : Area and Perimeter

1. A man has a square garden and he needs to put up a fence all the way around. Each side is 12m long. How far is it around the edge of the garden? 

a) area or perimeter   b) __________________________

2. Emma uses a piece of string to measure the distance around a regular pentagon. The total  distance is 85cm, how long is each side?

a) area or perimeter   b) __________________________

3. A rectangular picture frame is two times as long as it is wide. If it is 28cm wide, what is the length of the frame and what is the distance all the way round the frame? 

  

a) area or perimeter   b) length:_________   c) ______________________

4. Gina uses some ribbon to go round 4 rectangular gift boxes . Each box is 40cm long and 30cm wide how much ribbon does she need for each box and for all the boxes? 

a) area or perimeter   b) 1 box:_________   c) 4 boxes_________________

5.Tom has a square garden which has a side length of 40 m 

   Calculate the area of the garden. _______________________

6. Tom would like to construct a square swimming pool with a side length of 20m in the center of the garden.

Calculate the area of the swimming pool. ________________

7, If Tom were to construct the swimming pool, would the area of the garden remain the same? What would it be?

________________________________________________

8. Instead Tom decided to build a playpen in his garden for his new puppy. The length of the area was 6 meters and the width was 4 meters. What is the area of the playpen which he built for his puppy?

____________________________

9. As Tom will need to build a fence around the playpen. what is the perimeter of the playpen?

_____________________________________

Changing Fractions into Decimals - Part I

Getting started :Converting Fractions to Decimals

Can you see a pattern?

7/10  = 0.7

6/100 = 0.06

3 9/10 = 3.9

6 9/100 = 6.09

19/1,000 = 0.019

Convert these fractions to decimals

http://www.dadsworksheets.com/v1/Worksheets/Fractions%20as%20Decimals/Convert-Fraction-to-Decimal-Drills-1_V1.html

A. Convert these fractions to decimals.

   1/4      3/4    4/5     3/5     2/4     2/3   2/5  1/5    1/2

B. Solve these word problems.

1.Bob packed twenty grapes and a pear in his lunch. He ate thirteen grapes and the pear. 
1.1What fraction of the grapes did Bob eat?1.2 Convert the fraction into a decimal.

2.Terri, Samantha, and Jodi each bought shoes for the prom. Terri and Jodi bought shoes with heels. Samantha bought flats. 

2.1What fraction of the girls bought shoes with heels?
2.2 Convert the fraction into a decimal.

3. For track practice, runners were supposed to walk or run twenty laps. 

Sara jogged 3/4 of the laps. Jacob jogged 3/5 of the laps. Sierra jogged 1/2 of the laps. 

3.1How many laps did each student run?

Sara/Jacob/Sierra

3.2 List the runners in order from least to greatest number of laps they ran.

3.3 Convert the fractions into decimals.

Sara 3/4

Jacob 3/5

Sierra  1/2

    
              

Math Antics - Fractions and Decimals

Perimeter and Area Word Problems

Perimeter and Area Word Problems from emteacher

Area & Perimeter from mlimon

Math Antics - Area

Math Antics - Perimeter

Learn to Classify Quadrilaterals

http://www.onlinemathlearning.com/shape-attributes-5g3-5g4.html

Quadrilaterals

Quadrilaterals de Brunswick School Department

Math Antics - Quadrilaterals

Elapsed Time to Train

To train:

http://www.mathworksheets4kids.com/time/elapsed%20time/elapsed-time-5minutes-medium2.pdf


http://www.mathworksheets4kids.com/time/elapsed%20time/start-time-5minutes-medium2.pdf

Math Quiz

Olympic Stadium Bus Service

Stratford Bus Station	07:20	07:45	08:25	08:45
Stratford High Street	07:55	08:10	08:50	09:15
Mill Lane	08:05	-------	09:10	------
Old Ford	08:14	08:35	09:19	09:29
Main Street	08:32	------	09:37	------
Olympic Stadium	08:49	09:14	09:54	10:04
Olympic Aquatic Centre	09:15	09:50	10:15	10:24

  1.       How long does it take the 08.25 from Stratford Bus Station to travel to ​ ​a) Stratford High Street ​ ​b) Old Ford ​ ​c) Olympic Stadium ​

2.       ​ At how many bus stops does the 07:55 from Stratford High Street stop before it reaches The ​Olympic Stadium? ​ ​

3.        At what time does the 09:19 from Old Ford reach the Olympic Aquatic Centre? ​

4.        ​ If you had to be at the Olympic Stadium by 09:30, which bus would you catch from Mill ​Lane?

      5.. You arrive at Stratford Bus Station at 07:45, how long do you have to wait for the next bus to ​Main Street? ​ ​     

            6.The 09:19 bus from Old Ford is running 15 minutes late. At what time will it reach the Olympic ​Stadium?