standard_description: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
problem_activity: Problem 1
Robb’s Fruit Farm consists of 100 acres on which three different types of apples grow. On 25 acres, the farm grows Empire apples. Macintosh apples grow on 30 acres of the farm. The remainder of the farm grows Fuji apples.
Shade in the grid below to represent the portion of the farm each apple type occupies. Use a different color or pattern for each type of apple. What percent of the fruit farm is taken up by each type of apple? Fill in the table below.
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{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "table-layout: fixed; width: 100%;"}, "thead": [{"tr": [{"th": [{"_attributes": {"scope": "col", "style": "background-color: rgb(238, 238, 238); text-align: center;"}, "_value": "Type of Apple"}, {"_attributes": {"scope": "col", "style": "background-color: rgb(238, 238, 238); text-align: center;"}, "_value": "Color in Grid"}, {"_attributes": {"scope": "col", "style": "background-color: rgb(238, 238, 238); text-align: center;"}, "_value": "Part:Whole Ratio"}, {"_attributes": {"scope": "col", "style": "background-color: rgb(238, 238, 238); text-align: center;"}, "_value": "Rate per 100 Acres"}, {"_attributes": {"scope": "col", "style": "background-color: rgb(238, 238, 238); text-align: center;"}, "_value": "% of Fruit Farm"}]}]}], "tbody": [{"tr": [{"td": [{}, {}, {}, {}, {}]}, {"td": [{}, {}, {}, {}, {}]}, {"td": [{}, {}, {}, {}, {}]}]}]}]}
Problem 2
Adam’s Fruit Farm also has 100 acres, but he grows more than just apples. Oranges take up 60 acres of his farm.
What percent of Adam’s farm is oranges? What percent is not oranges? Draw a 10x1 tape diagram to model the situation.
Problem 3
Represent the values of the following coins as percentages of $1 on the double number line.
dime
quarter
half-dollar
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Problem 4
What percent of a dollar is the value of:
3 quarters?
6 quarters?
9 quarters?
Show your work using a double number line.


aligns: no