Whole Numbers

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#### Level contents

- * Assessment for the whole of Level 6
- ** Assessment test answers
- *** Assessment test records
- 6:00 Concept Dictionary - Whole Numbers
- Teaching points extracted from worksheets showing the development of whole number concepts from Year 0 to Year 6
- 6:01 6-digit numbers
- Review of writing numbers to five-digits from words and numeral expanders. Writing six-digit numbers from a place value dot diagram table and an abacus. Writing 6-digit numbers in words. Writing the next even/odd number after a given number up to 6-digits. Using six given digits to create 6-digit numbers according to descriptions. Writing number sentences using 6-digit numbers. Ordering 6-digit numbers in ascending/descending order.
- 6:01E 6-digit numbers
- Identifying numbers occupying specific place values in six-digit numbers. Representing 6-digit numbers using a numeral expander and expanded notation. Using an abacus to show a 6-digit number and to identify numbers occupying specific place values. Using numeral expanders to identify numbers occupying specific place values in a 6-digit number. Using six given digits to create 6-digits numbers in order of size. Money problems involving place value.
- 6:02 6-digit numbers
- Writing six-digit numbers represented in a place value tally table, in an abacus, and in a numeral expander. Using expanded notation. Identifying the place value of specific numbers in a 6-digit number. Using a flip-book numeral to count on by tens, hundreds, thousands, and ten thousands, and to identify place value of specific numbers.
- 6:03 Whole Numbers
- Writing six-digit numbers from words into a place value table. Writing the words for five and six-digit numerals. Recognising and completing counting patterns in 5 and 6-digit numbers. Using six digits to create and order two 6-digit numbers. Matching 6-digits numbers to a number line. Rounding 6-digit numbers to nearest 100 000. Shading the larger number from pairs of 5 or 6-digit numbers.
- 6:04 Rounding large numbers
- Rounding four-digit, five-digit and six-digit numbers to the nearest ten, hundred, thousand, ten thousand and hundred thousand. Considering the most useful place value unit to round to for addition. Using rounding to estimate the cost of objects. Using rounding to estimate and multiply large numbers in word problems. Using rounding to estimate the answer to additions of large numbers.
- 6:04PT Progress test
- Test of Whole numbers
- 6:05 Place value
- Writing a number from a numeral expander including three decimal places. Matching place value labels to numerals and decimals. Identifying the place value of specific numbers in a six-digit number with 3 decimal places. Expanded notation of a 6-digit number with 3 decimal places. Writing 6-digit numbers with 3 decimal places from a place value table. Simple addition with 6-digit numbers with 3 decimal places using place value.
- 6:06 Negative numbers
- Completing number lines involving negative numbers. Comparing pairs of numbers (negative and positive) using greater than/lesser than signs. Matching negative and positive temperatures to a number line. Identifying negative numbers in everyday life. Subtraction resulting in negative numbers using a calculator.
- 6:07 Roman numerals
- Matching Roman numerals to Hindu-Arabic numbers. Writing everyday numbers as Roman numerals. Putting Roman numerals on a clock face. Counting on using Roman numerals. Writing Roman numerals from Hindu-Arabic numbers and vice-versa. Recording the Roman numerals that indicate the year of release of a film/ TV show during the credits. Understanding the number system of Roman numerals and recognising incorrectly written Roman numerals.
- 6:08 Millions
- Understanding place value and spacing for seven-digit numbers. Ways of writing one million. Estimating amounts in everyday life, using 1 million. Estimating the cost of items using 1 million. 1 million in expanded notation. Money problems using 1 million. Counting on by 1 million. Finding factors of 1 million using the divisibility rule and a calculator.
- 6:09 Roman numerals
- Writing Roman numerals from Hindu-Arabic numbers and vice versa. Early Roman numerals. Recognising counting patterns in Roman numerals. Using knowledge of the Roman numeral number system to write the largest and smallest numeral consisting of seven symbols. Matching the features of the Hindu-Arabic and Roman number system to their correct labels.
- 6:09PT Progress test
- Test of Whole numbers
- 6:10 Millions
- Recognising numbers over six-digits long and writing in word form. Matching millions numbers to the closest rounded-up number. Comparing the size of pairs of numbers from 6 to 9 digits long. Using numeral expanders to write eight and nine-digit numbers from words. Writing a 9-digit number in expanded notation. Identifying real life objects that are counted in millions.
- 6:11 Millions
- Counting on by millions, subtracting one from eight and nine-digit numbers, estimating populations to the nearest ten million, writing the numeral from words for 8 and 9-digit numbers. Using place value cards to find the place value of specific numbers in 9-digit numbers and to write a 9-digit number in expanded notation. Ordering millions numbers in ascending order.
- 6:12 Larger numbers
- Millions represented in words, on an abacus, in a place value tally table, and in shortened form using K and M. Ordering millions in ascending and descending order. Writing number sentences with 6 to 9-digit numbers using greater than, less than and equals signs. Expanded notation .
- 6:12PT Progress test
- Test of Whole numbers
- 6:13 Millions of years ago
- Converting fractions of millions into numerals. Millions on the number line. Timeline of dinosaur history with time periods in the ten millions and hundred millions. Shortened form M.
- 6:13C Millions
- Counting on by large numbers. Place value in millions. Matching seven, eight, and nine-digit numerals to their representations on an abacus, in words, in shortened form using M, and on a numeral expander. Ascending and descending order in millions. Rounding millions.
- 6:14 Negative numbers
- The position of negative and positive numbers on the number line. Moving in negative and positive directions. Subtraction resulting in negative numbers. The constant function on the calculator. Deriving a rule from a negative number pattern.
- 6:14E Negative numbers
- Moving in negative and positive directions on the number line. Addition and subtraction using the number line. Number sentences using positive and negative numbers.
- 6:15 Millions to billions
- Researching the planets, moon, and stars. Ordering millions and billions numbers to match the planets to their distance from the sun. Using greater than/less than signs to compare the size of eight, nine, and ten-digit numbers. Solving word problems involving finding the difference in large distances.
- 6:15PT Progress test
- Test of Whole numbers
- 6:AC New Maths Builder Texts
- Placeholder
- 6:ACC Year 6 Cover
- Placeholder
- 6:NA00C Contents: Year 6 Maths Builder text
- Contents
- 6:NA00D Answers: 6:NA01-6:NA54C
- The answers to the Year 6 Maths Builder text 6:NA01-6:NA54C
- 6:NA00E Answers: 6:NA55-6:NA93
- The answers to the Year 6 Maths Builder text 6:NA55-6:NA93
- 6:NA01 Whole Numbers
- Writing six-digit numbers from words into a place value table. Writing the words for five and six-digit numerals. Recognising and completing counting patterns in 5 and 6-digit numbers. Using six digits to create and order two 6-digit numbers. Matching 6-digits numbers to a number line. Rounding 6-digit numbers to nearest 100 000. Shading the larger number from pairs of 5 or 6-digit numbers.
- 6:NA01C 6-digit numbers
- Review of writing numbers to five-digits from words and numeral expanders. Writing six-digit numbers from a place value dot diagram table and an abacus. Writing 6-digit numbers in words. Writing the next even/odd number after a given number up to 6-digits. Using six given digits to create 6-digit numbers according to descriptions. Writing number sentences using 6-digit numbers. Ordering 6-digit numbers in ascending/descending order.
- 6:NA01S 6-digit numbers
- Writing six-digit numbers represented in a place value tally table, in an abacus, and in a numeral expander. Using expanded notation. Identifying the place value of specific numbers in a 6-digit number. Using a flip-book numeral to count on by tens, hundreds, thousands, and ten thousands, and to identify place value of specific numbers.
- 6:NA15 Integers
- Write each number using the minus sign. Match the negative number to its place on the number line. Complete the number line. Write the number between 2 numbers, or larger/ smaller than a given number. Order numbers.
- 6:NA15C Negative numbers
- Negative numbers, negative numbers on the number line, placing negative numbers in order, arranging numbers in order.
- 6:NA16 Negative numbers
- Completing number lines involving negative numbers. Comparing pairs of numbers (negative and positive) using greater than/lesser than signs. Matching negative and positive temperatures to a number line. Identifying negative numbers in everyday life. Subtraction resulting in negative numbers using a calculator.
- 6:NA17 Negative numbers
- The position of negative and positive numbers on the number line. Moving in negative and positive directions. Subtraction resulting in negative numbers. The constant function on the calculator. Deriving a rule from a negative number pattern.
- 6:NA18 Positive and negative numbers
- The position of negative and positive numbers on the number line. Showing negative fractions, decimals and percentages on the number line.
- 6:NA52 Prime and composite numbers
- Recognising prime and composite numbers. Finding factors of numbers and labelling as prime or composite. Prime numbers to 100 using a grid.
- 6:NA52C Prime and composite numbers
- Consolidating rules for prime and composite numbers. Finding specific prime and composite numbers and factors of numbers.
- 6:NA53 Square and triangular numbers
- Exploring number patterns in square and triangular numbers. Finding the missing element in number sentences by recognising patterns. Using the rule to find an unknown number.
- 6:NA54 Square and triangular numbers
- Exploring number patterns in square and triangular numbers. Finding the missing element in number sentences by recognising patterns. Using the rule to find an unknown number.
- 6:NA54C Square and triangular numbers
- Exploring number patterns in square and triangular numbers. Finding the missing element in number sentences by recognising patterns. Using the rule to find an unknown number.
- 6:NA55 Using Numbers
- Prime numbers, composite numbers, the product of, factors.
- 6:NA75 Millions
- Understanding place value and spacing for seven-digit numbers. Ways of writing one million. Estimating amounts in everyday life, using 1 million. Estimating the cost of items using 1 million. 1 million in expanded notation. Money problems using 1 million. Counting on by 1 million. Finding factors of 1 million using the divisibility rule and a calculator.
- 6:NA75C Millions
- Recognising numbers over six-digits long and writing in word form. Matching millions numbers to the closest rounded-up number. Comparing the size of pairs of numbers from 6 to 9 digits long. Using numeral expanders to write eight and nine-digit numbers from words. Writing a 9-digit number in expanded notation. Identifying real life objects that are counted in millions.
- 6:NA75S Millions
- Counting on by millions, subtracting one from eight and nine-digit numbers, estimating populations to the nearest ten million, writing the numeral from words for 8 and 9-digit numbers. Using place value cards to find the place value of specific numbers in 9-digit numbers and to write a 9-digit number in expanded notation. Ordering millions numbers in ascending order.
- 6:NA76 Larger numbers
- Millions represented in words, on an abacus, in a place value tally table, and in shortened form using K and M. Ordering millions in ascending and descending order. Writing number sentences with 6 to 9-digit numbers using greater than, less than and equals signs. Expanded notation .
- 6:NA76C Millions to billions
- Researching the planets, moon, and stars. Ordering millions and billions numbers to match the planets to their distance from the sun. Using greater than/less than signs to compare the size of eight, nine, and ten-digit numbers. Solving word problems involving finding the difference in large distances.
- 6:NA76S Millions of years ago
- Converting fractions of millions into numerals. Millions on the number line. Timeline of dinosaur history with time periods in the ten millions and hundred millions. Shortened form M.