Algebra

Sites to practice

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

Here is how your are going to organize your answer using the graph you created for your homework:


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

Practice

Create your own graph here:

https://www.mathsisfun.com/data/graphs-index.html

After, analyze the information you created.

Line Graphs

Summarize the graph below with your group. Use the tips below to help you.

Top tip for writing:

1. Start by writing exactly what the graph shows, and the time period.

2. Describe the changes as precisely as you can. Use data and numbers of the chart.

3. Compare the information. Talk about differences or similarities between the groups shown.

4. Conclude by writing what the main trends or changes are.

http://learnenglishteens.britishcouncil.org/skills/writing-skills-practice/writing-about-bar-chart

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

The line graph shows the value of Sarah's car according to the year. What can you conclude?

Practice

What is this graph showing?

Activity

Summarize the graph below:

Summarizing Graphs

The graph used is a pie chart and shows the eye color of students in a class. The chart considers three colors 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 from 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

Algebra Basics: Solving Basic Equations Part 1 - Math Antics

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

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 and 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

Fractions,decimals and percentage- Group Work

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?

Convert Decimals to Percent

Multiply the Decimal Number by 100, and put the "%" sign so people know it is per 100

Example: Convert 0,125 to percent

Multiply 0,125 by 100:

0,125 × 100 = 12,5

Put the percent sign:

0,125 × 100 = 12,5%

Answer 0,125 = 12,5%

The easy way to multiply by 100 is to move the decimal point 2 places to the right. so:

From Decimal	To Percent
		move the decimal point 2          places to the right        (and add the "%" sign!)

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

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                                5.  0.0743 

2.  0.051                                6.  7.05 

3.  8.064                                7.  0.007 

4.  3.69                                  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

What are pecentages?

Math Antics - Converting Base-10 Fractions

Changing Fractions into Decimals

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

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

Area

Quadrilaterals

Math Antics - Perimeter

Learn to Classify Quadrilaterals

Quadrilateral and its properties

Quadrilaterals

Equivalent Fractions

Watch the video and find equivalent fractions to the fractions below.

Write the fractions and their equivalents in your blog book.

1.   5 /7
2.  1/ 3
3.  4/6
4    8/9
5.  2/7

Division

Finding a Fraction of a Number

Finding the Fraction of a Number

Fractions Review

Fractions review from Sherina Isolica

Subtract Fractions

Subtract and simplify if you can.

1) 6/ 10 - 1/ 10 =
2 ) 4 /5 - 3/ 5 =
3 ) 4 /10 - 3 /10 =
4 ) 9 /11 - 3/ 11 =
5 ) 5/ 6 - 2/ 6 =
6 ) 7/ 9 - 6/ 9 =
7 ) 11/ 12 - 8/ 12 =
8 ) 2/ 8 - 1/ 8 =
9 ) 4/ 11 - 3/ 11 =
10 ) 2 /3 - 1/ 3 =

http://www.math-aids.com/cgi/pdf_viewer_3.cgi?script_name=fractions_subtracting_simple.pl&difficult=0&probs=10&language=0&memo=&answer=1&x=104&y=23

Adding Fractions

Practice adding and then simplify if you can

1 ) 2 /10 + 4 /10 =
2 ) 1/ 7 + 2/ 7 =
3 ) 1/ 12 + 1/12 =
4 ) 4/ 9 + 4/ 9 =
5 ) 2/ 12 + 3 /12 =
6 ) 2/ 8 + 3/ 8 =
7 ) 1/ 4 + 2 /4 =
8 ) 2/ 9 + 5/ 9 =
9 ) 1/ 12 + 8/ 12 =
10 ) 4/ 10 + 5/ 10 =

http://www.math-aids.com/cgi/pdf_viewer_3.cgi?script_name=fractions_adding_simple.pl&difficult=0&probs=10&language=0&memo=&answer=1&x=64&y=2

Math Antics - Simplifying Fractions

Reducing Fractions

Subtract Fractions : Like Denominators

Add Fractions with Like Denominators

Polygons

Word Problems : Estimating

In your groups, solve the following word problems.

   Estimate the sum or difference by rounding each number to the nearest ten.

1)      Sam picked 374 lemons and Tim picked 929 lemons from the lemon tree. Estimate how many lemons they both picked ?

2)       Alyssa's Cupcake Shop sold a total of 586 cupcakes today, and 213 of those had sprinkles. Estimate how many cupcakes were sold without sprinkles?

3)       There were 378 scissors in the drawer and Nancy put away 324 more . Estiamte how many scissors are now in the drawer?

Now estimate the sum or difference by rounding each number to the nearest hundred.

4)       John has 678 baseball cards. Benny bought 347 of John's baseball cards. Estimate how many baseball cards  John still owns?

5)       Keith found 935 seashells on the beach and  he gave Melanie 126 of them. Estimate how many seashells  he now has?

6)     Sally and Alyssa decided to bake cookies for the family picnic. Sally baked 611 raisin cookies and Alyssa baked 649 sugar cookies. Estimate how many cookies they baked altogether?