
Solve Mathematics Problems with Visual Representations
Explore a series of visual math problems involving pencils, quantities, and size comparisons. Utilize images to understand concepts like multiplication, ten times the size, and number patterns. Enhance your mathematical skills through interactive learning experiences.
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Emily has 1 pencil; Jamie has 10 times as many. How many pencils does Jamie have? www.ncetm.org.uk/masterypd
Emily has 2 pencils; Jamie has 10 times as many. How many pencils does Jamie have? www.ncetm.org.uk/masterypd
Emily has 3 pencils; Jamie has 10 times as many. How many pencils does Jamie have? www.ncetm.org.uk/masterypd
1 2 3 4 5 6 7 8 9 10 = 10 = 20 = 30 = 40 = 50 = 60 = 70 = 80 = 90 www.ncetm.org.uk/masterypd
10 www.ncetm.org.uk/masterypd
1,000s 100s 10s 1s 10 times the size 10 times the size 10 times the size www.ncetm.org.uk/masterypd
1,000s 100s 10s 1s 1 1 1 1 1 1 1 10 times the size 10 times the size 10 times the size www.ncetm.org.uk/masterypd
6 10 = 60 1,000s 100s 10s 1s 6 6 10 6 0 6 Think of 6 and make it ten times the size. 10 times the size 10 times the size 10 times the size www.ncetm.org.uk/masterypd
10 www.ncetm.org.uk/masterypd
0 1 2 3 4 5 6 7 8 9 10 0 10 20 30 40 50 60 70 80 90 www.ncetm.org.uk/masterypd
12 10 = 120 www.ncetm.org.uk/masterypd
12 10 = 120 1,000s 100s 10s 1s 2 2 1 1 10 2 1 0 2 1 Think of 12 and make it ten times the size. 10 times the size 10 times the size 10 times the size www.ncetm.org.uk/masterypd
12 10 = 120 What is the value of the 2 in 12 ? two 2 What is the value of the 2 in 120 ? twenty 20 What is the value of the 1 in 12 ? ten What is the value of the 1 in 120 ? one hundred 10 100 We had 12 ones. We now have 12 tens. www.ncetm.org.uk/masterypd
10 10 = 110 11 10 = 120 12 10 = 130 13 10 = 140 14 10 = 150 15 10 = 160 16 10 = 170 17 10 = 180 18 10 = 190 19 10 = 200 20 10 = 100 www.ncetm.org.uk/masterypd
Jamie has 10 pencils; he has 10 times as many as Emily. How many pencils does Emily have? 10 times as many 10 www.ncetm.org.uk/masterypd
Jamie has 20 pencils; he has 10 times as many as Emily. How many pencils does Emily have? 10 times as many 10 www.ncetm.org.uk/masterypd
Jamie has 30 pencils; he has 10 times as many as Emily. How many pencils does Emily have? 10 times as many 10 www.ncetm.org.uk/masterypd
10 10 1 10 = 10 2 10 = 20 3 10 = 30 4 10 = 40 5 10 = 50 6 10 = 60 7 10 = 70 8 10 = 80 9 10 = 90 10 10 = 1 20 10 30 10 40 10 50 10 60 10 70 10 80 10 90 10 = 2 = 3 = 4 = 5 = 6 = 7 = 8 = 9 www.ncetm.org.uk/masterypd
10 10 www.ncetm.org.uk/masterypd
90 10 = 9 1,000s 100s 10s 1s 9 9 9 0 0 10 9 0 10 times the size 10 times the size 10 times the size www.ncetm.org.uk/masterypd
40 10 = 4 4 tens 40 4 ones 4 www.ncetm.org.uk/masterypd
10 10 www.ncetm.org.uk/masterypd
0 1 2 3 4 5 6 7 8 9 10 0 10 20 30 40 50 60 70 80 90 www.ncetm.org.uk/masterypd
160 10 = 16 1 hundred and 6 tens 160 1 ten and 6 ones 16 www.ncetm.org.uk/masterypd
160 10 = 16 10 10 10 1,000s 100s 10s 1s 6 0 1 1 6 6 0 0 10 1 6 0 10 10 10 www.ncetm.org.uk/masterypd
160 10 = 16 What is the value of the 6 in 160 ? sixty 60 What is the value of the 6 in 16 ? six 6 What is the value of the 1 in 160 ? one hundred What is the value of the 1 in 16 ? ten 100 10 We had 16 tens. We now have 16 ones. www.ncetm.org.uk/masterypd
10 100 10 = 110 10 = 120 10 = 130 10 = 140 10 = 150 10 = 160 10 = 170 10 = 180 10 = 190 10 = 200 10 = 10 11 12 13 14 15 16 17 18 19 20 www.ncetm.org.uk/masterypd
This afternoon there was 1 person in the cinema. This evening there are 100 times as many. How many people in the cinema this evening? www.ncetm.org.uk/masterypd
This afternoon there were 2 people in the cinema. This evening there are 100 times as many. How many people in the cinema this evening? www.ncetm.org.uk/masterypd
This afternoon there were 3 people in the cinema. This evening there are 100 times as many. How many people in the cinema this evening? www.ncetm.org.uk/masterypd
1 100 = 100 2 100 3 100 4 100 5 100 6 100 7 100 8 100 9 100 = 200 = 300 = 400 = 500 = 600 = 700 = 800 = 900 www.ncetm.org.uk/masterypd
100 www.ncetm.org.uk/masterypd
1,000s 100s 10s 1s 100 times the size www.ncetm.org.uk/masterypd
1,000s 100s 10s 1s 1 1 100 times the size www.ncetm.org.uk/masterypd
6 100 = 600 1,000s 100s 10s 1s 6 6 100 0 0 6 Think of 6 and make it 100 times the size. www.ncetm.org.uk/masterypd
100 www.ncetm.org.uk/masterypd
0 1 2 3 4 5 6 7 8 9 100 0 100 200 300 400 500 600 700 800 900 www.ncetm.org.uk/masterypd
15 100 = 1,500 1 ten and 5 ones 15 1 thousand and 5 hundreds 1,500 www.ncetm.org.uk/masterypd
15 100 = 1,500 1,000s 100s 10s 1s 1 1 5 5 100 0 1 0 5 Think of 15 and make it 100 times the size. 100 times the size 100 times the size www.ncetm.org.uk/masterypd
15 100 = 1,500 What is the value of the 5 in 15 ? five 5 What is the value of the 5 in 1,500 ? five hundred 500 What is the value of the 1 in 15 ? ten What is the value of the 1 in 1,500 ? one thousand 10 1,000 We had 15 ones. We now have 15 hundreds. www.ncetm.org.uk/masterypd
This evening there are 100 people in the cinema, 100 times as many as this afternoon. How many were in the cinema this afternoon? www.ncetm.org.uk/masterypd
This evening there are 200 people in the cinema, 100 times as many as this afternoon. How many were in the cinema this afternoon? www.ncetm.org.uk/masterypd
This evening there are 300 people in the cinema, 100 times as many as this afternoon. How many were in the cinema this afternoon? www.ncetm.org.uk/masterypd
100 100 1 100 = 100 2 100 = 200 3 100 = 300 4 100 = 400 5 100 = 500 6 100 = 600 7 100 = 700 8 100 = 800 9 100 = 900 100 100 = 1 200 100 300 100 400 100 500 100 600 100 700 100 800 100 900 100 = 2 = 3 = 4 = 5 = 6 = 7 = 8 = 9 www.ncetm.org.uk/masterypd
900 100 = 9 1,000s 100s 10s 1s 9 9 0 0 0 0 100 9 0 0 0 0 100 times the size 100 times the size www.ncetm.org.uk/masterypd