Understanding Percentages as Numbers: A Comprehensive Math Lesson
Dive into the world of percentages and numbers with this interactive math lesson. Explore converting fractions to decimals and percentages, matching grids to percentages, and identifying odd ones out. Enhance your understanding through concrete methods, pictorial representations, and practical exercises. Strengthen your grasp on percentages as fractions and decimals, and improve your math fluency and reasoning skills.
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Presentation Transcript
Monday 23rdMarch 2020. WALT: understand percentages as numbers. WILF: I can use the concrete method to understand a part of numbers I can understand percentages using the pictorial representation I can understand percentages as part out of 100. I can change fractions to decimals and percentages I can write different percentages as fractions and decimals. Key Vocabulary : decimal places, tenths, hundredths, thousandths, place value, place value grid Read Carefully: Work is on the Word document Complete it in word or on paper Choose your level of challenge and answer it your teachers. Thank you and have a good day .
Starter : Arithmetic challenge 6. 72 x __= 8 1. 460 + 100= 7. 4 x 3 x 9= 2. 629 60 = 3. 96 4 = 8. 2.8 + 0.6= 4. 1/4 + 6/12= 9. 4500 1000 = 5. 6216-549= 10. of 36=
T Model: When we say Percent we are really saying per 100 . One percent (1%) means 1 per 100. 1% of the line is shaded green. Its is very small isn t it? 50% means 50 per 100 ( 50% of this box is green).
T Model: Introduction. How many parts is the square split into? How many parts per hundred are shaded? I can see that 75 squares are shaded out of 100. Therefore it Is . To convert this fraction into a decimal: I will do the 75 (numerator) divided by the 100 (denominator). 75 100 = 0.75 75% of squares are shaded.
Circle the fraction and decimal which match the picture. 70 100 0.34 3 4 0.75 30 100 0.7
Fluency : Match the grids to their percentages. A 78% 60% B 80% C
Varied Fluency Match the grids to their percentages A 78% B 60% C 80%
Reasoning :Circle the odd one out. Explain your reasoning. My Reasoning: Looking at the image provided, I can see A, B and D represents 45%. However C illustrates 50%. Therefore C is the odd one out.
Reasoning 2 Alia and Ben are shown a bar model. Alia says, 9% is shaded 90% is shaded Ben says, Who is correct? Convince me. Ben is correct because Ben is correct because the bar model is split into 10 parts. Percentages are the number of parts out of 100 so 9 needs to be multiplied by 10 to find the percentage.
Problem Solving 1 Put the cards in order from largest to smallest. 53 parts per 100 4 parts out of 10 35% 7 parts per 10 16 parts out of 100 61%
Problem Solving 1 Put the cards in order from largest to smallest. 16 parts out of 100 7 parts per 10 53 parts per 100 4 parts out of 10 61% 35%
Plenary Mo, Annie and Tommy all did a test with 100 questions. Tommy got 6 fewer questions correct than Mo. Complete the table. How many more marks did each child need to score 100%?