Level 4 NZ Curriculum Achievement Objectives for Number 1
In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:
NA 4-1: Use a range of multiplicative strategies when operating on whole numbers.
NA 4-2: Understand addition and subtraction of fractions, decimals, and integers.
NA 4-6: Know the relative size and place value structure of positive and negative integers and decimals to three places.
NA 4-1: Use a range of multiplicative strategies when operating on whole numbers.
NA 4-2: Understand addition and subtraction of fractions, decimals, and integers.
NA 4-6: Know the relative size and place value structure of positive and negative integers and decimals to three places.
In this unit you will revise:
1) Place Value 2) Adding and Subtracting Whole Numbers 3) Multiplying Whole Numbers 4) Dividing Whole Numbers |
In this unit you will learn:
5) Adding and Subtracting Decimals 6) Adding and Subtracting Integers 7) Multiplying and Dividing Integers 8) Order of Operations 9) Estimating 10) Applications involving adding, subtracting, multiplying and dividing |
This page shows different strategies for how to add, subtract, multiply and divide numbers without a calculator. These skills will be covered in class as well. Students will be allowed to use a calculator in class when the numbers become large. The ultimate goal is to be able to use these skills in applications.
1) Place Value
Our number system is called base 10. In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right. A number in standard form is separated into groups of three digits using commas.
Check out this link http://interactivesites.weebly.com/place-value.html
2) Adding and Subtracting Whole Numbers
3) Multiplying Whole NumbersMULTIPLYING NUMBERS
These words are associated with multiplication:
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ADDING AND SUBTRACTING NUMBERS
These words and symbols are usually associated with addition:
These words are usually associated with subtraction:
Check out this website for more practice http://interactivesites.weebly.com/place-value.html |
Websites to visit and have a go...just click on the image and away you go!
4) Dividing Whole Numbers
These symbols and words are used for division:
LONG DIVISION
check out how to do long division by visiting this website: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/level-4-division
- divide, share, how many 'groups of', or 'lots of', how many times does it go into...
- the answer to a division is called a quotient
- Zero divided by a whole number equals zero
- order of a number in a division is important. Different quotients are obtained if the number order is reversed, e.g. 18 shared by 6 = 3 but 3 shared by 18 does not equal 3.
LONG DIVISION
check out how to do long division by visiting this website: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/level-4-division
Multiplying and Dividing by Multiples of 10
- Multiplying by multiples of 10 causes the place value digits to glide to the LEFT the same number of place values as there are zeros in the multiplier.
- Dividing by multiples of 10 causes the place value digits to glide to the RIGHT the same number of places as there are zeros in the divisor.
5) Adding and Subtracting Decimals
A) Adding and Subtracting Decimals: Just like with whole numbers, we start by writing one number above another with all the place values and decimal point lining up correctly. Start on the far right hand side and add each set of numbers together, remembering to carry over to the next place value if the sum is 10 or more or borrow 10 if needed when subracting
Click on the video below for some more practice:
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6) Adding and Subtracting Integers
What are integers?
- Positive and negative numbers are called integers. They have both size and direction. The number tells us the size of the measurement, and a + or - in front of the number tells us the direction of the measurement.
- ( + ) means above, right, increase, gain.
- ( - ) means below, left, decrease, loss.
7) Multiplying and Dividing Integers
Click on the images below to have a look at INTEGER tutorials or to play an INTEGER game. Have fun!
8) Order of Operations (BEDMAS)
The accepted order of operations is remembered by the word BEDMAS
B Brackets comes first (3 + 4 ) = 7 E Exponents (or indices) D Division and Multiplication come next, working left to right across the page M 2 x 6 divided by 3 = 12 divided by 3 = 4 A Addition and Subtraction come next, working left to right across the page S 4 + 7 - 3 = 11 - 3 = 8 Check out these online sites to help you with BEDMAS |
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9) Estimating
We normally round numbers to the nearest 10, 100, 1000 and so on, so that calculation estimates can be done mentally.
Estimation is a Skill for Life.
As you walk around and live your life, imagine if you could easily estimate:
We are not talking exact answers here, but answers that are good enough for your life.
Have a look at these websites on ESTIMATION. Click on an image and away you go. Have fun!
Estimation is a Skill for Life.
As you walk around and live your life, imagine if you could easily estimate:
- how much a bill will be,
- which item is the best value for money
- the size, areas and angles of things
We are not talking exact answers here, but answers that are good enough for your life.
Have a look at these websites on ESTIMATION. Click on an image and away you go. Have fun!
10) Applications
word_multistep_addsub.pdf | |
File Size: | 24 kb |
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word_prob.pdf | |
File Size: | 22 kb |
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11) Long Division