PEMDAS
Objectives : Understanding the correct Math Order of Operation to ensure ease of solving.
The order of operations makes evaluation easier when a numerical expression involves two or more operations
Instruction :
1. Open your grade 5 maths book to review Pemdas or read the explanation through this link http://www.coolmath.com/prealgebra/05-order-of-operations/05-order-of-operations-parenthesis-PEMDAS-01.htm
2. Do some practices from this worksheet http://www.coolmath.com/prealgebra/05-order-of-operations/05-order-of-operations-parenthesis-PEMDAS-01.htm . In this website also include the key answer, use it after you solve the problem to check your work.
3. Play these interactive maths game below to build or strengthen your pemdas math skills and concepts while having fun.
http://www.math-play.com/Order-of-Operations-Millionaire/order-of-operations-millionaire.html
http://www.quiz-tree.com/Order-of-Operations_Order-of-Operations-PEMDAS-1_1imageXML.html
The order of operations makes evaluation easier when a numerical expression involves two or more operations
Instruction :
1. Open your grade 5 maths book to review Pemdas or read the explanation through this link http://www.coolmath.com/prealgebra/05-order-of-operations/05-order-of-operations-parenthesis-PEMDAS-01.htm
2. Do some practices from this worksheet http://www.coolmath.com/prealgebra/05-order-of-operations/05-order-of-operations-parenthesis-PEMDAS-01.htm . In this website also include the key answer, use it after you solve the problem to check your work.
3. Play these interactive maths game below to build or strengthen your pemdas math skills and concepts while having fun.
http://www.math-play.com/Order-of-Operations-Millionaire/order-of-operations-millionaire.html
http://www.quiz-tree.com/Order-of-Operations_Order-of-Operations-PEMDAS-1_1imageXML.html
FRACTION
Central IdeaMaths calculation in fraction is related to one another and is used to process information to solve problems
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Lines of Inquiry* Addition and subtraction of fractions [proper fractions, mixed number (review), decimals].
* Multiplication and division of fractions (proper fractions, mixed numbers, decimals, and percentages) * Fraction in maths real problems. |
Factor
Objectives :
1. To know how to find the factors of a number
2. To understand equivalent fractions
3. To simplify fractions
Instruction :
1. Click the picture above to learn about factors
2. Do some practices in your math book.
1. To know how to find the factors of a number
2. To understand equivalent fractions
3. To simplify fractions
Instruction :
1. Click the picture above to learn about factors
2. Do some practices in your math book.
Cross Cancelling
When MULTIPLYING fractions, it can be helpful to first cross cancel any common factors. Cross cancelling can help you avoid having to multiply large numbers. It will also eliminate the need to reduce your answers! To cross cancel, just follow these steps!
1. Find any factors the numerators share with the denominators.
2. Cancel the common factors.
3. Multiply the uncancelled par ts of the numerators.
4. Multiply the uncancelled par ts of the denominators.
WHEN DIVIDING FRACTIONS, you must first flip the second fraction and then follow steps through . Look at the examples below!
1. Find any factors the numerators share with the denominators.
2. Cancel the common factors.
3. Multiply the uncancelled par ts of the numerators.
4. Multiply the uncancelled par ts of the denominators.
WHEN DIVIDING FRACTIONS, you must first flip the second fraction and then follow steps through . Look at the examples below!
http://www.math-aids.com/cgi/pdf_viewer.cgi? script_name=fractions_multiply_cross_cancel.pl&difficult=2&probs=10&language=0&memo=&answer=1&x=132&y=35
http://www.math-aids.com/cgi/pdf_viewer.cgi?script_name=multiplying_mixed_numbers.pl&difficult=0&probs=10&language=0&memo=&answer=1&x=112&y=24
http://www.math-aids.com/cgi/pdf_viewer.cgi?script_name=multiplying_mixed_numbers.pl&difficult=0&probs=10&language=0&memo=&answer=1&x=112&y=24
Multiplying FractionsLearning Objectives :
1. Learn the concept of multiplication of fractions 2. Model multiplication of fractions using arrays on paper 3. Multiply using fraction calculator Instruction : 1. Watch the multiplying fractions Bownie Pan Method 2.Watch threeother video below about multiplying fractions using fraction bars. Take a note in your math book. 3. To strengthen your concept click this link http://www.coolmath4kids.com/fractions/fractions-14-multiplying-fractions-01.html 4. Do some practices in your maths book and through interactive maths game. http://www.math-aids.com/cgi/pdf_viewer.cgi?script_name=fractions_multiply.pl&difficult=0&probs=10&language=0&memo=&answer=1&x=103&y=21 http://www.math-aids.com/cgi/pdf_viewer.cgi?script_name=fractions_multiply_whole.pl&difficult=0&format=0&probs=10&language=0&memo=&answer=1&x=148&y=16 5. Check your answer using calculator 6. Ask teacher for further explanation if needed. Enjoy it. |
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Dividing FractionsLearning Objectives :
1. Learn the concept of division of fractions 2. Model division of fractions using array on paper 3. Divide using fractions calculator Ways to learn ; 1. You can start by singing a song titled I Can Divide. :D 2. Watch the video about dividing fractions. 3. Practice using fraction bars or you grid paper 4. Take a note in your math book. 5. Create 3 problems about dividing fractions and prove them using grid paper. There are 3 Simple Steps to Divide Fractions: Step 1. Turn the second fraction (the one you want to divide by) upside-down (this is now a reciprocal). Step 2. Multiply the first fraction by that reciprocal Step 3. Simplify the fraction (if needed Dividing Fractions Interactive Game http://www.math-play.com/soccer-math-dividing-fractions-game/soccer-math-dividing-fractions-game.html |
Recommended Links |
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Dividing and Multiplying Fractions assessment Criteria
maths_assessment_-_dividing_and_multiplying.docx | |
File Size: | 566 kb |
File Type: | docx |
FRACTIONS, DECIMALS AND PERCENTAGES
Central IdeaFractions, decimals and percentages are interrelated and are different ways of expressing parts of a whole.
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Lines of Inquiry · The relationship between fractions, decimals and percentages.
· The appropriate time to use fractions, decimals and percentages. · Converting between fractions, decimals and percentages. |
DecimalsDismayed by decimals? Don’t be! In this movie, Tim and Moby introduce you to the mysteries these special numbers. Learn where the word “decimal” comes from, and find out how many different kinds of decimal units you can form out of a whole (hint: it’s a lot!). Discover how to count numbers smaller than one, and learn why you’ll need a decimal point--and where it goes. Find out six ways you can use decimals in every day life, as well as two reasons that decimals can make math easier. Finally, learn about three different kinds of decimals, including a very special kind that goes on forever without repeating. You’ll never fear decimals again!..Click the picture to watch the movie
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Below are the links that can help you to learn decimals from the beginning concepts, place value. Learn step by step and you will get clear understanding about decimals.
1. Place value of decimals
2. How to read and say decimals
3. How to add decimals
4. How to subtract decimals
Before you open the link about multiplying decimals. Calculate these problems using calculator
2.5 x 2.35 0.05 x 2.3 2.125 x 6 What do you notice from the result?..
5. How to multiply decimals
6. How to divide decimals
http://www.mathsisfun.com/fractions_division.html
http://www.mathsisfun.com/numbers/fractions-division-whole-numbers.html
1. Place value of decimals
2. How to read and say decimals
3. How to add decimals
4. How to subtract decimals
Before you open the link about multiplying decimals. Calculate these problems using calculator
2.5 x 2.35 0.05 x 2.3 2.125 x 6 What do you notice from the result?..
5. How to multiply decimals
6. How to divide decimals
http://www.mathsisfun.com/fractions_division.html
http://www.mathsisfun.com/numbers/fractions-division-whole-numbers.html
Percentages
Objectives
1. To understand the meaning of per cent.
2. To work out percentages of 100 and convert them into fractions and decimals.
Ways to learn
1. Read the introduction about percentages through this link http://www.mathsisfun.com/percentage.html or
http://www.coolmath.com/prealgebra/03-percents/01-percents-what-is-a-percent-01.htm
Take a note in your math book.
2. Solve problems in this link http://downloads.bbc.co.uk/schools/teachers/ks2worksheets/bbc_teachers_ks2_maths_worksheet_percentages.pdf
1. To understand the meaning of per cent.
2. To work out percentages of 100 and convert them into fractions and decimals.
Ways to learn
1. Read the introduction about percentages through this link http://www.mathsisfun.com/percentage.html or
http://www.coolmath.com/prealgebra/03-percents/01-percents-what-is-a-percent-01.htm
Take a note in your math book.
2. Solve problems in this link http://downloads.bbc.co.uk/schools/teachers/ks2worksheets/bbc_teachers_ks2_maths_worksheet_percentages.pdf
Mc Donald Summative Task
APPLYING FRACTIONS, DECIMALS and PERCENTAGES
Task instruction:
1 Click the pictures to download the summative task guideline.
2. Download this summative task assessment and read the criterion.
3. Read the task instruction and the example.
4. Do your summative draft in your maths book.
5. Check your work with the assesssment criterion
6. Check again before collect to the teacher.
1 Click the pictures to download the summative task guideline.
2. Download this summative task assessment and read the criterion.
3. Read the task instruction and the example.
4. Do your summative draft in your maths book.
5. Check your work with the assesssment criterion
6. Check again before collect to the teacher.
RATIO AND PROPORTION
Ratio
A ratio shows the relative sizes of two or more values.
Ratios can be shown in different ways. Using the ":" to separate example values, or as a single number by dividing one value by the total.
Example: if there is 1 boy and 3 girls you could write the ratio as:
1:3 (for every one boy there are 3 girls)
1/4 are boys and 3/4 are girls
0.25 are boys (by dividing 1 by 4)
25% are boys (0.25 as a percentage)
A ratio compares values.
There are 3 blue squares to 1 yellow square
A ratio says how much of one thing there is compared to another thing.
Ratios can be shown in different ways:Use the ":" to separate the values: 3 : 1
Instead of the ":" you can use the word "to": 3 to 1
Or write it like a fraction: 3/1
To know deeperabout ratio, go to this link :http://www.mathsisfun.com/numbers/ratio.html and to know how to aplly in daily activities , go to this link http://www.mathsisfun.com/ratio2.html
Ratios can be shown in different ways. Using the ":" to separate example values, or as a single number by dividing one value by the total.
Example: if there is 1 boy and 3 girls you could write the ratio as:
1:3 (for every one boy there are 3 girls)
1/4 are boys and 3/4 are girls
0.25 are boys (by dividing 1 by 4)
25% are boys (0.25 as a percentage)
A ratio compares values.
There are 3 blue squares to 1 yellow square
A ratio says how much of one thing there is compared to another thing.
Ratios can be shown in different ways:Use the ":" to separate the values: 3 : 1
Instead of the ":" you can use the word "to": 3 to 1
Or write it like a fraction: 3/1
To know deeperabout ratio, go to this link :http://www.mathsisfun.com/numbers/ratio.html and to know how to aplly in daily activities , go to this link http://www.mathsisfun.com/ratio2.html
Instant Mental Calculation of Square Roots
References : http://www.mindmagician.org/sqrt.aspx
By learning this simple system you will be able to instantly calculate the square root of the spectator's number.
Step 1: Learn the Squares of 0 to 9 To master the system you must learn by heart the squares of numbers 0 to 9, which are shown in the table below. You also need to consider the last digit of each square.
Note how the last digits for the squares of 2 and 8 are both 4.
Note how the last digits for the squares of 3 and 7 are both 9.
Note how the last digits for the squares of 4 and 6 are both 6.
Step 2: Determine the Square Root Ignore the last two digits of the number called out by the spectator and choose the memorised square which is just lower (or equal) to the remaining number. The corresponding square root is the first digit. of your answer
Now consider the last digit of the number called out by the spectator. If this is 0 or 5, then you immediately know that the last digit of your answer is also 0 or 5.
In all other cases, the last digit of the number called out will indicate two possible values for the last digit of the square root. For example, if the last digit is 9, then the square root may end in either 3 or 7.
To determine whether the lower or higher value should be taken, multiply the first digit of your answer by one greater than itself. If this is greater than the first part of the number called by the spectator (i.e., ignoring the last two digits), then the last digit of your answer is the lower of the two possible values. Otherwise the last digit is the higher value.
For example if the number called is 2809, the square root could be either 53 or 57. Since 5 x 6 = 30, and 28 is less than 30, the answer is 53.
By learning this simple system you will be able to instantly calculate the square root of the spectator's number.
Step 1: Learn the Squares of 0 to 9 To master the system you must learn by heart the squares of numbers 0 to 9, which are shown in the table below. You also need to consider the last digit of each square.
Note how the last digits for the squares of 2 and 8 are both 4.
Note how the last digits for the squares of 3 and 7 are both 9.
Note how the last digits for the squares of 4 and 6 are both 6.
Step 2: Determine the Square Root Ignore the last two digits of the number called out by the spectator and choose the memorised square which is just lower (or equal) to the remaining number. The corresponding square root is the first digit. of your answer
Now consider the last digit of the number called out by the spectator. If this is 0 or 5, then you immediately know that the last digit of your answer is also 0 or 5.
In all other cases, the last digit of the number called out will indicate two possible values for the last digit of the square root. For example, if the last digit is 9, then the square root may end in either 3 or 7.
To determine whether the lower or higher value should be taken, multiply the first digit of your answer by one greater than itself. If this is greater than the first part of the number called by the spectator (i.e., ignoring the last two digits), then the last digit of your answer is the lower of the two possible values. Otherwise the last digit is the higher value.
For example if the number called is 2809, the square root could be either 53 or 57. Since 5 x 6 = 30, and 28 is less than 30, the answer is 53.
PRACTICE, PRACTICE, PRACTICE
Before you try this out on your friends, you should practice until you can calculate the square root instantly and without error. If you can't do this, then practice some more! To practice and assess your ability, you can use the test below. Click this link :
Before you try this out on your friends, you should practice until you can calculate the square root instantly and without error. If you can't do this, then practice some more! To practice and assess your ability, you can use the test below. Click this link :
Ratio Word Problems
Read your maths book to review your understanding about ratio before you do this task.
Open this link to get the word problems.
http://www.math-salamanders.com/images/math-problem-worksheets-ratio-problems-4.gif
Open this link to get the word problems.
http://www.math-salamanders.com/images/math-problem-worksheets-ratio-problems-4.gif
Proportion
Proportion is a name given to a statement that two ratios are equal.
It can be written in two ways:
* two equal fractions
* using a colon, a:b = c:d
When two ratios are equal, then the cross products of the ratios are equal.
( Cross product is a product found by multiplying the numerator of one fraction by the denominator of another fraction and the denominator of the first fraction by the numerator of the second. )
That is, for the proportion, a:b = c:d , a x d = b x c
To continue the explanation go to the link http://www.math.com/school/subject1/lessons/S1U2L2GL.html#sm1 don't forget to click next ...
Then learn about direct and inverse proportion and go to this link.. http://maths.nayland.school.nz/Year_11/AS1.1_Number/16_Proportion.htm
Homework : Proportion word problems
1. If 8 oranges cost $ 10.40, how many oranges can be bought for $ 33.80?
2. If 18 dolls cost $ 630, how many dolls can be bought for $ 455?
3. If a man earns $ 805 per week, in how many days he will earn $ 1840?
4. If car covers 102 km in 6.8 litres of petrol, how much distance will it cover in 24.2 litres of petrol?
5. On a particular day, 200 US dollars are worth Rs 9666. On that day, how many dollars could be bought for Rs 5074.65?
6. If 5 men or 7 women earn $ 525 per day, how much would 7 men and 13 women earn per day?
It can be written in two ways:
* two equal fractions
* using a colon, a:b = c:d
When two ratios are equal, then the cross products of the ratios are equal.
( Cross product is a product found by multiplying the numerator of one fraction by the denominator of another fraction and the denominator of the first fraction by the numerator of the second. )
That is, for the proportion, a:b = c:d , a x d = b x c
To continue the explanation go to the link http://www.math.com/school/subject1/lessons/S1U2L2GL.html#sm1 don't forget to click next ...
Then learn about direct and inverse proportion and go to this link.. http://maths.nayland.school.nz/Year_11/AS1.1_Number/16_Proportion.htm
Homework : Proportion word problems
1. If 8 oranges cost $ 10.40, how many oranges can be bought for $ 33.80?
2. If 18 dolls cost $ 630, how many dolls can be bought for $ 455?
3. If a man earns $ 805 per week, in how many days he will earn $ 1840?
4. If car covers 102 km in 6.8 litres of petrol, how much distance will it cover in 24.2 litres of petrol?
5. On a particular day, 200 US dollars are worth Rs 9666. On that day, how many dollars could be bought for Rs 5074.65?
6. If 5 men or 7 women earn $ 525 per day, how much would 7 men and 13 women earn per day?