Number line and Place Value. 9 7-8 5-6 3-4 1-2 Number line and Place Value. Year 7 – Autumn 1 I can order numbers from 0 to 100 using terms such as greater, less than and in between. I understand place value in integers greater than 100. I understand simple decimal notation. I can order negative integers. I can match simple fractions, decimals and percentages. I can order decimals to two or three places. I can match any terminating decimal to a fraction and a percentage. I can order any numbers including positive and negative integers, fractions, mixed numbers and decimals. I can recognise which fractions are terminating decimals and which are recurring and give reasons why. I can match recurring decimals to fractions. These slides are printed as an A5 booklet.

< > = ≠ Integer Numerator Denominator Equivalent Key Words / symbols Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context Jot down your ideas here... Integer < > = ≠ Numerator Denominator Equivalent Print slides 3-9, two slides to a page on white paper.

I can order numbers from 0 to 100 using terms such as greater, less than and in between. Fluency Place these numbers in order from smallest to biggest using the number line below 23, 91, 34, 17, 56, 88. Problem Solving Jack is thinking of a number. His number is greater than 50 and smaller than 70. His number is an odd number. What number could Jack be thinking of? Is this the only number that Jack could be thinking of? Reasoning Tom says that any number with 9 tens is going to be bigger than any number with 6 tens. Is Tom right? Explain your answer. 10 20 30 40 50 60 70 80 90 100

1 5 6 8 I understand place value in integers greater than 100. Fluency Place these numbers in order of size from smallest to biggest. 1 3 6 4 5 6, 2 3 4 7 8, 3 8 8 4, 5 4 3 2 1, 4 5 3 2 1 Problem Solving Holly made a number using these digit cards. The hundreds digit is greater than 7 Holly’s number is odd. What is the biggest number that Holly could have made? Reasoning Ben writes the number three hundred and two thousand, four hundred and sixty two as 3 2 4 6 2 Explain why this is wrong. 1 5 6 8

1 2 3 . I understand simple decimal notation. Fluency Problem Solving Place these numbers in order from smallest to biggest using the number line below:- 0.3 0.9 0.7 0.25 Problem Solving Here are 3 digit cards and a decimal point. How many 2 digit numbers that are less than 3 is it possible to make using these cards? You can use each card more than once. Reasoning Emma says that 3.60 is more than 3.6 Is Emma correct? Explain your answer. 1 0.5 1 2 3 .

I can order negative integers. Fluency Put these numbers in order from smallest to biggest. -7, -1, 0 , 4, 100, -20 Problem Solving Which number is halfway between -15 and – 7. You must show your working out. Reasoning How would you convince someone that -9 is smaller than -4

I can match simple fractions, decimals and percentages. Fluency For each of these fractions write down the equivalent decimal and percentage. 1 10 1 4 1 2 3 4 Problem Solving Put these in order from smallest to biggest. You must show your working out. 0.3 1 4 22% Reasoning Find a number greater than 0.14 smaller than 4 5 Explain how you did this.

I can order decimals to two or three places. Fluency Put these decimals in order from smallest to largest: 6.615, 6.67, 6.111, 6.606, 6.06 Problem Solving Last year, Bill weighed 85.7 kg. This year Bill weighs 85.12kg. Describe how Bill’s weight has changed. Reasoning Convince me that 0.36 is greater than 0.351

I can order any numbers including positive and negative integers, fractions, mixed numbers and decimals. I can match any terminating decimal to a fraction and a percentage. Fluency Write the following fractions as decimals and percentages:- 4 10 7 50 9 20 2 3 5 Show your working out. Problem Solving Write numbers in the boxes so that the fractions are in size order. Reasoning Convince me that 12 5 < 7 2

I can recognise which fractions are terminating decimals and which are recurring and give reasons why. Fluency Circle any fractions that are recurring decimals 3 5 3 11 5 30 9 25 21 56 Problem Solving The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator? Reasoning How can you tell that 3 4 will terminate and 1 7 will recur without converting them into decimals?

Use the space below to set yourself a question similar to the ones you were able to answer confidently. Use the space below to answer the question that you have set yourself My own question… My answer…