Zuzanna Grzyl - WS Student Practice - Math - PDF
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Zuzanna Grzyl
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These practice worksheets cover various mathematical concepts, including the order of integers, calculations with integers, unit rates, and coordinate plotting. The worksheets include a variety of question types and levels of difficulty.
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NAME: _____________________________ LG1. Understand the order of integers and their real world implications 1. ( level 1-2) Put the following in order fromleast to greatest: 4, -12, -208, 190, -250 2. ( level 3-4) Place the integers -20, 4, -8...
NAME: _____________________________ LG1. Understand the order of integers and their real world implications 1. ( level 1-2) Put the following in order fromleast to greatest: 4, -12, -208, 190, -250 2. ( level 3-4) Place the integers -20, 4, -8, -1, 5 and 13 on the number line. - 10 0 < ---------l---------l---------l---------l---------l---------l---------l---------l---------l--------- > 3. ( level 5-6) For the following, write a number sentence that BEST models the situation and find the result a. I had 15 dollars in my bank account. I bought a TV for 80 dollars. How much money do I have now? Number sentence:____________________________________ b. T he temperature at 6am was -5℃. It then warmed up 2℃ each hour until 11am. What is the current temperature? Number sentence:____________________________________ c. I begandescendinga mountain from 6000m above sealevel. Idescended400m an hour for the first 5 hours. After that I slowed and descended 150m an hour for 4 hours. How many m above sea level am I now? Number sentence:____________________________________ G2. Accurately calculate with all operations with integers including multistep problems L where order is important. 1. ( level 1-2) Calculate: a. 5 - 8 = b. -5 + 2 = c. -6 ✕ 5 = d. -9 ➗ -3 = 2. ( level 3-4) Calculate: a. -10 - (-3) = b. 4 - (-6) = c. -3 x (-4) = d.− 18 ÷ 2 = . (level 5-6) 3 Calculate: SHOW ALL STEPS a.-5 + 3 x -2 = b. 12÷ (-3) - (-3 + -5) = C. 5 + ( 2 x (-3) + (-2)3 ) D. 3 - 2(-4 - 2)2 + 12 LG3. Find and apply unit rates to solve problems. 1. ( level 1-2) Soda costs 24 zl for a 6-pack. What is the unit rate (cost per soda)? 2. ( level 3-4) Wedel chocolate is on sale “buy 2 get 1 free”. Each block costs 18 pln. What is the unit rate (cost per 1 bar) if I buy 3 using this sale (so only pay for 2 bars but I get 3)? nother store sells the same block in packs of 6 for 66 pln. Which store is a better deal? A Show work/explain your thinking. 3. ( level 5-6) Working at the same time it takes 5 people 20 minutes to build 5 models. If they were working at the same rate, how long would it take 7 people to build 7 models? LG4. Use tables and graphs to help model and solve problems involving rates and proportions 1. ( level 1-2) Using the coordinate grid to the right: a. Plot point A at (3, 4) b. Give the coordinates of point B: _________ c. Plot point C at (-4, 0) d. Give the coordinates of point D: _________ 2. (level 3-4) 3. ( level 5-6) There is a drought (it is not raining). The water tank had 4000 L on July 1. It was measured on July 3 and it had 3700 L. On July 6 it had 3250 L. a. Assuming a constant rate of change, complete the table below: Date Water in Tank (L) July 1 July 2 July 3 July 4 July 5 July 6 July 7 Rate of change of water in tank: b. M ake a graph (above) showing the water in the tank for the first 2 weeks of July. Make sure you label the axes. c. U se therate of changeto find out how many days thewater will last (until there is none).
