Big Idea! How is place value used in our everyday lives?

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1 Big Idea! How is place value used in our everyday lives? Ch 1 Math Connects 5 th grade: Essential Questions Explain how place value & periods are useful in reading whole 1-1 numbers. 1-2 How can you decide which number is greater? 1-3 How can you choose the best strategy to solve a problem? Explain how the word form of a fraction can help you write the 1-4 fraction as a decimal? What are some advantages of using decimals instead of 1-5 fractions? 1-6 How do you know if two decimals are equivalent? 1-7 Describe different steps that make ordering numbers easier. 1-8 How can using the guess & test strategy help us to solve problems?

2 Big Idea! Why is it important to know how to add and subtract whole numbers and decimals? Ch 2 Math Connects 5 th grade: Essential Questions 2-1 Explain how to round to the nearest hundredth. 2-2 Give a real world example where it might be more appropriate to estimate rather than get the exact answer. 2-3 How can working backward help us to solve problems? 2-4 How are place value and regrouping used when adding and subtracting whole numbers? 2-5 How can you decide the best strategy to use in solving problems? 2-6 How can annexing zeros be helpful when adding decimals? 2-7 Does changing the order in which you add change the sum? Why or why not. 2-8 How can you use compensation to find ?

3 Big Idea! How does multiplying whole numbers help you in daily life? Ch 3 Math Connects 5 th grade: Essential Questions 3-1 How do using basic facts help you find 10 x 20 x 30 x 40 mentally? 3-2 How does using the Distributive Property help you find a product mentally? 3-3 Write a real word problem in which an exact answer is not needed 3-4 Describe each step for finding 416 x How can drawing a picture help us solve a problem? 3-6 How is addition used when you multiply by two digit numbers? 3-7 How would you use the associative property when solving a problem? 3-8 Explain how to round 18.9 to the nearest whole number. 3-9 How can you identify missing or extra information when solving problems?

4 Big Idea! How does division help you in everyday life? Ch 4 Math Connects 5 th grade: Essential Questions 4-1 Explain how placing zeros at the end of basic division facts helps you divide mentally. 4-2 Explain how you could use compatible numbers to estimate 272 divided by 4? 4-3 How is estimation useful when solving division problems? 4-4 How is estimation useful when you are dividing by two digit numbers? 4-5 How can acting it out help you to solve a problem? 4-6 How can you interpret the remainder in a division problem? 4-7 Describe the steps for estimating dividing money by a whole number. 4-8 How can you decide the best strategy to solve a problem?

5 Big Idea! How can you use Algebra in everyday life? Ch 5 Math Connects 5 th grade: Essential Questions 5-1 How can you evaluate an expression containing a variable? 5-2 How can solving a simpler problem help us to solve problems? 5-3 Write a real world problem that can be represented by a multiplication expression. 5-4 Why is the expression 3 less than x written x 3 and not 3 x? 5-5 How can you choose the best strategy to solve a problem? 5-6 Why is using a function machine like finding a pattern? 5-7 Should you ever add or subtract before you multiply in an expression? Explain your reasoning.

6 Big Idea! Where have you used equations in your life? Ch 6 Math Connects 5 th grade: Essential Questions 6-1 Explain why it does not matter on which side of the equals sign the variable is located. 6-2 Explain what it means to solve an equation 6-3 How can making a table help you solve a problem? 6-4 Describe the steps to locate point (7,4). 6-5 Write a real world problem about a situation that would be represented by the function 15x. 6-6 Which method is easier to use to solve a real-world problem; a function rule or an equation? Explain. 6-7 How can you choose the best strategy to solve a problem?

7 Big Idea! How does data drive the world we live in? Ch 7 Math Connects 5 th grade: Essential Questions 7-1 Describe the steps for finding the median of a set of data. 7-2 How can you choose the best way to solve a problem? 7-3 Suppose two sets of data have the same median but different ranges, what can you conclude about the sets? 7-4 How is a line plot similar to a frequency table? 7-5 How do you choose an appropriate scale and interval size when making a frequency table of a set data? 7-6 How can you organize data to help you compare the measurements of two groups? 7-7 When would you use a line graph to show data? 7-8 How is reading information in a graph different than reading it in a paragraph? 7-9 How can making a graph help us solve problems?

8 Big Idea! Why are fractions important in life? Ch 8 Math Connects 5 th grade: Essential Questions 8-1 Discuss how fractions represent division situations in real life. Give an example. 8-2 How can you tell if a fraction can be written as a mixed number? 8-3 How can logical reasoning help us to solve problems? 8-4 Choose a whole number and write it as an improper fraction three ways and explain. 8-5 Explain how you can use a number line to compare a fraction and a mixed number. 8-6 Describe how to round fractions in your own words 8-7 How can you choose the best strategy to solve a problem?

9 Big Idea! How can the study of multiples help us to solve problems in everyday life? Ch 9 Math Connects 5 th grade: Essential Questions 9-1 Can the GCF of two numbers ever be one? Explain your answer. Give an example to explain it. 9-2 How you can use objects or models to tell if a number is prime or composite? 9-3 Write about a real world situation that can be represented by ¾ then write an equivalent fraction and explain the meaning of the equivalent fraction 9-4 Why does dividing by the GCF take fewer steps to simplifying a fraction? 9-5 How would you write a decimal as a fraction? 9-6 How can looking for a pattern help you solve problems? 9-7 Will multiplying two numbers always give you the least common multiple? Explain. 9-8 How can you choose the best strategy to solve a problem? 9-9 Explain how the LCM and the LCD are alike and how they are different.

10 Big Idea! How can we use adding & subtracting fractions in everyday life? Ch 10 Math Connects 5 th grade: Essential Questions 10-1 Is 3/5 = 4/5 more or less than 1? Tell how you know How would you subtract 7/8 3/8 and write the difference in simplest form. Describe your steps and draw a picture to check How would you find the LCD of two fractions? 10-4 How would you subtract fractions with unlike denominators? 10-5 How would you use determining reasonable answers to solve a problem? 10-6 How is estimating sums and differences of mixed numbers similar to estimating sums and differences of decimals? 10-7 Explain how to simplify 3 6/ Write a real world problem involving subtraction of mixed numbers with unlike denominators. Then solve How do you know how to choose the best strategy to solve a problem? Write a real world problem involving subtraction in which you have to rename a fraction.

11 Big Idea! How do we use the customary system to measure in our everyday life? Ch 11 Math Connects 5 th grade: Essential Questions 11-1 How would you convert 16 feet into inches? 11-2 How would you use drawing a diagram to solve problems? 11-3 Explain the unit of weight you would use to measure a bag of apples, a fork and a submarine? 11-4 Explain how to convert from fluid ounces to pints Would you multiply or divide to find the number of seconds in 3 minutes? Explain How do you choose the best strategy to solve a problem? 11-7 How do you find elapsed time?

12 Big Idea! How do you use the metric system to measure in every day life? Ch 12 Math Connects 5 th grade: Essential Questions 12-1 Compare and contrast converting customary units of length and converting metric units of length. Which type of conversion is easier? 12-2 How can you use determining reasonable answers to solve a problem? 12-3 What units of mass would you use to measure a grain of salt, a bowl of cereal and a tube of toothpaste? Explain Write a real world problem that can be solved by converting milliliters to liters. Then solve How would you find the opposite of an integer by using a number line? 12-6 How can you estimate the temperature in degrees Celsius when you know the temperatures in degrees Fahrenheit? 12-7 How do you choose the best strategy to solve a problem?

13 Big Idea! Where can we find two and three dimensional figures in our world? Ch 13 Math Connects 5 th grade: Essential Questions 13-1 How can you distinguish between a ray and a line? 13-2 How can you use logical reasoning in solving problems? 13-3 How do you know if a triangle is equilateral, isosceles or scalene? 13-4 How can you tell the difference between a rhombus & trapezoid? 13-5 How do you choose the best strategy to solve a problem? 13-6 Why is a translation sometimes called a slide? 13-7 How are translations like reflections? How are they different? 13-8 How are rotations and reflections different? 13-9 How can you use grid paper to show symmetry?

14 Big Idea! How do we use perimeter, area and volume in our jobs/careers? Ch 14 Math Connects 5 th grade: Essential Questions 14-1 Describe two ways to find the perimeter of a rectangle How would you estimate the area of an irregular figure that is drawn on grid paper? 14-3 How many different rectangles could have an area of 36 if all four sides are whole numbers? Explain Describe the differences between a cylinder and a rectangular prism, 14-5 How can making a model help you to solve problems? 14-6 How could you use a model to find the volume of a box? 14-7 Describe the steps you would use to find the surface area of a rectangular prism How would you determine whether to use area, perimeter or volume in a given situation? 14-9 How do you choose the best strategy to solve a problem?

15 Big Idea! How can probability help us to predict the events in life? Ch 15 Math Connects 5 th grade: Essential Questions 15-1 How many possible outcomes are there if you were to throw two probability cubes? 15-2 Describe an event that is favorable and one that in unfavorable How can making an organized list help you to solve problems? 15-4 How are tree diagrams used in probability? 15-5 How do you choose the best strategy to solve a problem?