options: Number Systems and Quantity: students learn to understand the complex number system and reason quantitatively.

Number & Operations - Fractions: students learn to understand fractions as numbers and may work with them using addition, subtraction, multiplication, and division.

Functions: students learn to define, use, and evaluate functions to model relationships between quantities.

Number & Operations in Base Ten: students learn to work with the base-ten system and build place value understanding.

Measurement & Data: students learn to work with data and measure attributes such as time, money, length, area, and volume. They may learn to compare measurements to operations and convert between different units of measure.

Counting & Cardinality: students learn to know number names and the count sequence, count to tell the number of objects, and compare numbers.

Operations & Algebra: students learn to solve problems using algebraic thinking and operations such as addition, subtraction, multiplication, and division. They may learn to identify and explain arithmetic patterns, evaluate or manipulate numerical expressions, and reason with equations and inequalities.

Geometry: students learn to classify geometric figures by their properties, and understand and compare the relationships between them. Students develop and use formulas to compute lengths, areas, and volumes, and they use transformations to generate new shapes and compare existing ones. Geometry can be studied with and without coordinates.

Modeling: students learn to choose and use appropriate mathematics and statistics to analyze real-world empirical situations, improve decisions, and report on their conclusions and the reasoning behind them.

Ratios & Proportional Relationships: students learn to recognize, describe, represent, and reason with ratios, rates, proportional relationships, and percent.

Statistics & Probability: students learn to analyze and produce data distributions, and build understanding of univariate and bivariate data. They learn to interpret data, make statistical inferences, justify conclusions, understand rules of probability, and use probability to make decisions.
problem_activity: Problem 1
Use a gallon, quart, pint, and cup container and water to answer the following questions.
What do you notice about the relationship between the capacity of a gallon and the capacity of a quart?
What do you notice about the relationship between the capacity of a quart and the capacity of a pint?
What do you notice about the relationship between the capacity of a pint and the capacity of a cup?
What do you notice about the relationship between the capacity of a cup and the capacity of a fluid ounce?
Problem 2
Fill in the following conversion tables.
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Problem 3
Joseph is told to dissolve a medicine in 1 pint 4 ounces of water. He has a measuring cup marked in ounces. How many ounces of water should he pour?
Problem 4
Dominica’s mom signs up to bring a gallon of fruit punch to the family potluck. She plans to use the following recipe:
{"table": [{"_attributes": {"align": "Center", "class": ["table", "table-bordered"], "style": "width:50%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "p": [{"strong": [{"_value": "Fruit Punch"}]}, {"_attributes": {"style": "margin-left:40px; text-align:left"}, "strong": [{"_value": "Ingredients:"}]}], "ul": [{"_attributes": {"style": "margin-left:40px"}, "li": [{"_attributes": {"style": "text-align:left"}, "p": [{"_value": "2 (6 ounce) cans frozen orange juice concentrate"}]}, {"_attributes": {"style": "text-align:left"}, "p": [{"_value": "2 (6 ounce) cans\u00a0frozen lemonade concentrate"}]}, {"_attributes": {"style": "text-align:left"}, "p": [{"_value": "1 (3 pint) can pineapple juice"}]}, {"_attributes": {"style": "text-align:left"}, "p": [{"_value": "3 cups water"}]}, {"_attributes": {"style": "text-align:left"}, "p": [{"_value": "1 quart 2 ounces soda"}]}]}]}]}]}]}]}
Will this recipe yield a gallon of fruit punch? If not, how much more fruit punch would she need to make? If so, how much more than a gallon will she have?


correct_option_index: 4