Place Value and Decimals 1 Objectives Objective Explore

Place Value and Decimals 1 – Objectives Objective: • Explore the Place Value of large numbers by ordering and comparing on a number line. Key Stage 3 objective: Order decimals and use the number line as a model for ordering of the real numbers. © Hamilton Trust Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Mastered it? Compare the size of numbers Which of these symbols belong in each box? >, < or = 34210 3420 70131 71310 94210 53420 Which letters on the number line represent the 6 numbers above? © Hamilton Trust Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Mastered it? What is the value of it? Write down: • a family member’s age • the number of pets you own • the number of days in your birthday month this year _________________ Look at the digits you have written down. What is the largest number you can create with these digits? Where is the number on this number line? Who in the class has created the largest number? © Hamilton Trust Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Objectives Objective: • Explore the Place Value of large numbers by ordering and comparing on a number line. © Hamilton Trust Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Direct Teaching So, how do we place 32, 500 on this number line? 30, 000 31, 000 32, 000 33, 000 34, 000 35, 000 36, 000 32, 500 is halfway between 32, 000 and 33, 000 37, 000 38, 000 39, 000 40, 000 Then, let’s ‘zoom in’ to this section of the number line It’s more than 30, 000 and less than 40, 000 First, let’s think about which 10, 000 s it sits between… © Hamilton Trust Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Direct Teaching When placing numbers in order, how do we decide which is bigger? 56, 139 46, 139 This one has more 10, 000 s. 56, 139 Use the 5 digits in this number to make the smallest and largest possible numbers. 1 3 5 6 9 smallest © Hamilton Trust 96 5 3 1 largest Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Direct Teaching 1. Read the numbers shown by the green arrows. 2. What number is labelled by the blue arrow? a b c d 3. What numbers might be shown by the four purple arrows? © Hamilton Trust Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Individual Practice 6 8 40 3 Use these 5 digit cards to make a number that will go between the green arrows. Use these 5 digit cards to make a number that will go between the blue arrows. 9 7 5 1 2 © Hamilton Trust Keeping Up Term 1 Week 1 Day 2

PV and Decimals 1 – Individual Practice Choose a set of numbers to mark as accurately as possible on your 0 - 100, 000 number line. 44, 000 12, 000 78, 000 49, 900 67, 500 © Hamilton Trust 43, 800 12, 300 76, 850 49, 950 67, 450 Keeping Up Term 1 Week 1 Day 2