options: 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.

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.

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.

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

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.

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

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

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

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.

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

Number & Operations - Fractions: students learn to understand fractions as numbers and may work with them using addition, subtraction, multiplication, and division.
problem_activity: Problem 1
__________ graham crackers are shared equally by __________ people.
a.   Choose numbers to fill in the blanks. You can only use each number once: 2, 3, 5.
b.   Represent the situation with a diagram or drawing.
c.   Explain or show how you know that each person will get the same amount of graham cracker.
Problem 2
Han’s work shows how 3 people could equally share 2 graham crackers.
[IMG]
a.   How do you know that each person gets about the same amount of graham cracker? Explain or show your thinking. Organize it so it can be followed by others.
b.   Draw a diagram to show a different way that 3 people could share 2 graham crackers so each person got about the same amount of graham cracker.
Problem 3
a.   Using the set of cards (cut out from
Template: Equal Shares
), match each representation with a situation and expression. Some situations and expressions will have more than one matching representation.
b.   Choose one set of matched cards.
Show or explain how the diagram(s) and expression represent the number of sandwiches being shared.
Show or explain how the diagram(s) and expression represent the number of people sharing the sandwiches.
How much sandwich does each person get in the situation?


correct_option_index: 10