NSM Seminar
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1. The document contains solutions to math problems from different schools. 2. One problem involves finding the maximum value of the function 20t - 5t^2, which is 20. 3. Another involves finding the average speed and time taken to travel 189x meters, where the average speed is 84 m/s and the time taken is 130 minutes.
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https://tinyurl.com/ybo27k2u
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For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
Reference:
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The document discusses order of operations, or BIDMAS (Brackets, Indices, Division, Multiplication, Addition, Subtraction), and why following this order is important to get the correct solution when solving multi-step math problems without a calculator. It provides examples of problems and works through them step-by-step using BIDMAS. For instance, it shows solving (3 + 5) × 2 by first doing 3 + 5 in the brackets to get 8, and then doing the multiplication 8 × 2 to get the final answer of 16. The document emphasizes that everyone should follow BIDMAS to get the same results when solving the same problems.
order of operations
The document provides information about order of operations in math. It explains that order of operations is important to get the correct answer when a math problem contains multiple operations. It presents the mnemonic "PEMDAS" (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) as the standard order of operations. Several examples of applying order of operations to evaluate expressions are shown. The document is intended to teach students the proper order for solving expressions with multiple operations.
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Math review for interim 1
This document provides a math review for 6th grade students covering topics like writing numbers in standard, expanded, and word form; exponential form; order of operations; adding, subtracting, multiplying, and dividing decimals; solving equations; analyzing data sets; and making line plots from data tables. It includes examples and practice problems for students to work through related to these various math concepts.
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- 5. 1st Block 4 x 2 x 1 2nd Block 4 x 2 x 3 3rd Block Victory Christian International School, Manila
- 11. 10 76 10 3𝑥+10+𝑥+10=76
- 12. x x x 10 76 x 10 3𝑥+10+𝑥+10=76 4𝑥+20=76
- 13. x x x 10 76 – 20 x 10 3𝑥+10+𝑥+10=76 4𝑥+20=76 4𝑥=56 𝑥= 564=14
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- 18. Method 1 21 + 23 + 25 = 69 19 + 21 + 23 = 63 17 + 19 + 21 = 57 Method 2 Note that the mean of the three numbers is the middle number 57 : 3 = 19 The other numbers are 17 and 21. Method 3 Make a list 1, 3, 5, 7, 9, …, 15, 17, 19, 21, 23, 25, 27, … x 𝑥+𝑥+2+𝑥+4=57 Method 3 x 2 3𝑥+6=57 𝑥=513=17 3𝑥=57 −6=51 x 2 2 The numbers are 17, 19and 21.
- 25. 𝑊h𝑒𝑛 𝑡=0, 20𝑡−5𝑡2=0 𝑡(20−5𝑡)=0 𝑡2−4𝑡+3=0 𝑊h𝑒𝑛 20𝑡−5𝑡2=0 𝑊h𝑒𝑛 20𝑡−5𝑡2=15 𝑡=0 𝑜𝑟𝑡=4 (𝑡−3)(𝑡−1)=0 𝑡=3 𝑜𝑟 𝑡=1 𝑊h𝑎𝑡 𝑖𝑠 𝑡h𝑒 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 20𝑡−5𝑡2?
- 26. 189𝑥 189𝑥+6 189𝑥−189𝑥+6=960 21𝑥−21𝑥+6=160 21𝑥+6−21𝑥𝑥(𝑥+6)=160 126𝑥(𝑥+6)=160 7560=𝑥(𝑥+6)
- 27. 𝑥2+6𝑥−7560=0 𝑥2+6𝑥−7560=0 𝑥−84𝑥+90=0 𝑥=84 x cannot be a negative value because it is an average speed. 87=189𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛=18987×60 𝑚𝑖𝑛 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛=130min (𝑡𝑜 𝑡h𝑒 𝑛𝑒𝑎𝑟𝑒𝑠𝑡 𝑚𝑖𝑛𝑢𝑡𝑒)
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- 37. Northbrooks Secondary School, Singapore
- 38. Lesson 41 10.10.11 a b To prove that angle at centre is equal to 2a + 2b 180o - 2a 2a a
- 39. Lesson 41 10.10.11 a b To prove that angle at centre is equal to 2a + 2b 2a 2b b a
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