6th Grade
Number Sense
6.NS.9 – Understand the concept of a unit rate and use terms related to rate in the context of a ratio relationship.
Juan is going to buy a 10 ounce bag of Takis for $2.98, but Tommy wants him to buy a 16 ounce bag for $3.50. Which bag is the better buy? By how much?
Justify your answer using numbers, words, or symbols.
Computation
6.C.3 – Solve real-world problems with positive fractions and decimals by using one or two operations.
Teresa went to the store to buy ingredients for her cookies. The recipe called for 2/3 cup of sugar, 2 cups of flour, 1 ½ cups of chocolate chips, and ½ cup of butter. She is only going to make a half batch of cookies for her party. How much of each ingredient should she use?
The costs of the ingredients were as follows: sugar = $1.75 per cup, flour = $0.89 per cup, chocolate chips = $2.20 per cup, and butter = $0.96 per cup. How much did she spend on the ingredients?
Algebra and Functions
6.AF.3 – Define and use multiple variables when writing expressions to represent real-world and other mathematical problems, and evaluate them for given variables.
- A bookstore sells mystery books for $4 each. The total sales of mystery books this month was $344. Write an equation that can be used to determine the number of mystery books the bookstore sold this month.
Define the variable ______
Equation ______
- The bookstore sells biographies for $3 each and science-fiction books for $5 each. Use the following information to determine the total sales the store made this month.
- ½ as many biographies were sold as mysteries
- 25 fewer biographies were sold than science fiction books
Geometry
6.GM.4 – Find the area of complex shapes composed of polygons by composing or decomposing into simple shapes; apply this technique to solve real-world and other mathematical problems.
The diagram below show the base of an art sculpture that Molly made. What is the area of the base of the sculpture? Explain in words, numbers or symbols TWO different ways to find the area of the base of the sculpture.
Data Analysis and Statistics
6.DS.4 – Summarize numerical data sets in relation to their context in multiple ways, such as: report the number of observations; describe the nature of the attribute under investigation, including how it was measured and its units of measurement; determine quantitative measure of center (mean and/or median) and spread (range and interquartile range), as well as describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered; and relate the choice of measures of center and spread to the shape of the data distribution and the context in which the data were gathered.
From the 2012-13 basketball season, Lenny’s team scored 55, 45, 48, 53, 61, 35, 58, 89 points in eight games. Which measure of central tendency (mean, median, or range) is the best representation of this data? Justify your answer.