Embedded Files
Place Value
Place Value
Operations
Operations
HCF Highest Common Factor & LCM Lowest Common Multiple
HCF Highest Common Factor & LCM Lowest Common Multiple
Factor Trees - An interactive and very visual way to break down a number into its prime factors.
Level 1 - Finding the highest common factor (HCF) of two numbers.
Level 2 - Finding the lowest common multiple (LCM) of two numbers
Level 3 - Finding the highest common factor (HCF) of large numbers.
Level 4 - Finding the lowest common multiple (LCM) of large numbers
Level 5 - Finding the HCF and LCM of three numbers
Sieve Use the Sieve of Eratosthenes to find prime numbers.
Integers
Integers
Level 1 - Simple subtraction. Example: 5 - 12
Level 2 - Adding to a negative number. Example: -7 + 9
Level 3 - Addition and Subtraction. Example: -10 + -2
Level 4 - Multiplication. Example: -3 x 2
Level 5 - Division. Example: -10 ÷ 5
Level 6 - Substitution. Example: If a=-3 and b=-7 evaluate 7a - 8b - 6
Level 7 - Mixed. Example: A mixed set of word problems
Fractions
Fractions
Fraction Wall (This can be used to add fractions to help you understand).
Decimals
Decimals
Percentages
Percentages
Level 1 - Find 50% of numbers and quantities
Level 2 - Find 10% of numbers and quantities
Level 3 - Find 25% of numbers and quantities
Level 4 - Find 33⅓% of numbers and quantities
Level 5 - Find other simple percentages of quantities
Level 6 - Use a calculator to find percentages
Percentage Change - The next step in developing your skills.
Express as a Percentage - Another skill for you to practise.
More on this topic including lesson Starters, visual aids and investigations.
Converting between Fractions Decimals & Percentages
Converting between Fractions Decimals & Percentages
Indices, Ratio & Rates
Indices, Ratio & Rates
Rounding & Standard Form
Rounding & Standard Form
Rounding
Rounding
Level 1 - Rounding numbers to the nearest whole number
Level 2 - Rounding numbers to one decimal place
Level 3 - Rounding numbers to two decimal places
Level 4 - Rounding numbers to one significant figure
Level 5 - Rounding numbers to two significant figures
Level 6 - Rounding numbers to three significant figures
Level 7 - Rounding numbers to the nearest ten, hundred etc
Standard Form
Standard Form
Level 1 - Converting from standard form. Positive indices.
Level 2 - Converting from standard form. Negative indices.
Level 3 - Converting from standard form. Mixed including zero as the index.
Level 4 - Converting to standard form. The inverse of level 1.
Level 5 - Converting to standard form. The inverse of level 2.
Level 6 - Converting to standard form. The inverse of level 3.
Level 7 - Mixed calculations.
Level 8 - Mixed calculations without a calculator.
Level 9 - Multiple choice exercise.
Finally there is a drag-and-drop standard form ordering activity.
Check List
Check List
Assessment Expected Skills Check List:
ratio and proportion
integer and fractional powers applied to numbers
More Activities - Extra for Experts
More Activities - Extra for Experts
Suggested tasks - remember to screenshot before claiming your trophy.
Additional sources of information
Additional sources of information
Number Skills Check-up Test (To find out what to learn next).
Number Skills Check-up Test (To find out what to learn next).
2017 Number Resources - these go all the way to NCEA Level 6 of the NZC
2017 Number Resources - these go all the way to NCEA Level 6 of the NZC
The New Zealand Curriculum Levels
The New Zealand Curriculum Levels
Number strategies
use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages
Number knowledge
know basic multiplication and division facts
know counting sequences for whole numbers
know how many tenths, tens, hundreds, and thousands are in whole numbers
know fractions and percentages in everyday use
Number Level 4 of the NZC
Number Level 4 of the NZC
Number strategies and knowledge
use a range of multiplicative strategies when operating on whole numbers
understand addition and subtraction of fractions, decimals, and integers
find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals
apply simple linear proportions, including ordering fraction
know the equivalent decimal and percentage forms for everyday fractions
know the relative size and place value structure of positive and negative integers and decimals to three places
Number Level 5 of the NZC
Number Level 5 of the NZC
Number strategies and knowledge
· Reason with linear proportions.
· Use prime numbers, common factors and multiples, and powers (including square roots).
· Understand operations on fractions, decimals, percentages, and integers.
· Use rates and ratios.
· Know commonly used fraction, decimal, and percentage conversions.
· Know and apply standard form, significant figures, rounding, and decimal place value.
Number Level 6 of the NZC
Number Level 6 of the NZC
Additional sources of information for Parents & Teachers
Additional sources of information for Parents & Teachers
Students who have purchased the learning workbook should complete the relevant chapters. This can be done in class and at home.
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