Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
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6.NS.1 Solve word problems involving division of fractions by fractions.
Bank Vault (Fraction Computation w/ Length)
We have important documents we want to keep saved in a bank vault. We must ensure that the safety deposit box we pick is big enough to store all the documents. We could take the documents to the bank and try out all the boxes, but we don’t want to take too many trips to too many banks with these documents. The bank manager does not know the sizes of the individual boxes, but he does know the dimensions of the entire wall. All the boxes together are 3 feet wide and 8 feet tall. What are the measurements of each box?
Cornfield (Fraction Computation)
A massive fire destroyed part of a local corn farmer's 64-acre farm. With a bit of good fortune, the firefighters were able to save some of the crops. After the fires are put out, the farmer and firefighters create a board showing the farm's damage. How many of the farmer’s fields are left?
Cheesecake (Fraction Computation with Measurements)
We need to make cheesecakes for a banquet. Which ingredient will you run out of first? How many cheesecakes can we make? How much will we have left of the other two ingredients?
Plywood (Fraction Computation with Measurements)
Generally, for our North American construction purposes, our plywood is bundled in the same size lifts or bunks (construction terminology for a bundle of plywood), meaning all the lifts or bunks are the same height. There are 80 sheets of plywood in a lift with ⅜ inch thick plywood. How many sheets are in the ½ inch, ⅝ inch, and ¾ inch lifts?
Compute fluently with multi-digit numbers and find common factors and multiples.
6.NS.2 Fluently divide multi-digit numbers.
6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals.
Breakfast Menu (Decimals Computation with Money)
You go to the Breakfast Barn and order breakfast with a group of friends. How much will your bill be?
Eurotrip (Adding Decimals with Money)
Li and Sara, exchange students living in Paris, are planning their trip through Spain. Traveling around Europe by train is one of the best and most affordable options, especially if you can get student discounts. On the train ride from Paris to Madrid, they take out a map that shows all the discounted prices for their travels between the cities they want to visit. If their trip has to start and end in Madrid, what is the cheapest route to take?
Extension: Add more people to the trip. Buy one, get one free discount. Special birthday trip: Multiple people go on the trip, but the cost is divided by one person less (the birthday person doesn't pay).
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6.NS.4 Find the greatest common factor of two whole numbers and the least common multiple of two whole numbers. Use the distributive property to express a sum of two whole numbers.
Apply and extend previous understandings of numbers to the system of rational numbers.
6.NS.5 Understand that positive and negative numbers are used to describe quantities with opposite directions or values.
6.NS.6 Represent points on the line and in the plane with negative number coordinates.
a. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line.
b. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.
c. Find and position integers and other rational numbers on a horizontal or vertical number line. Find and position pairs of integers and other rational numbers on a coordinate plane.
Grid Golf
Alberto and James host the last round of the GGA Open Grid Golf tournament. Who will win the GGA Open?
*dice required for this game
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New York City
Travel the World
6.NS.7. Understand ordering and absolute value of rational numbers.
a. Interpret statements of inequality as statements about the relative position of two numbers on a number line.
b. Write, interpret, and explain statements of order for rational numbers in real-world contexts.
c. Understand the absolute value of a rational number as its distance from 0 on the number line.
d. Distinguish comparisons of absolute value from statements about order.
Everest
Welcome to Basecamp on Mount Everest. Let's talk about how we are going to reach the summit. There are various camps on the two routes to the summit. To reach the top of Everest and not succumb to altitude sickness, we must climb the mountain in several stages. From Basecamp we will ascend to camps 1, 2, and 3 and descend back to Basecamp after reaching each camp. Once we have done all 3 rotations, our bodies will be ready for your final ascend to the summit. What is the total distance we will have ascended and descended when we reach the summit of Everest?
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6.NS.8. Solve real-world and mathematical problems by graphing points in all four coordinate plane quadrants.
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