options: 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.

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.

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

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.

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

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.

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

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

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

Number Systems and Quantity: students learn to understand the complex number system and reason quantitatively.
problem_activity: Narrative
The purpose of this activity is for students to make groups with more or fewer objects than a given group of objects. When asking students to make a group that has more objects than the given group, the given group will have very few objects. Similarly, when asking them to make a group that has fewer objects than the given group, the given group will have many objects. This should allow students to create and compare the groups visually. In a future lesson, students will create groups with more or fewer objects than a given group when the quantities are closer, where it will be helpful for students to match or count the objects in each group.
Required Materials
Materials to Gather
Counters
Materials from a previous activity
Required Preparation
Each group of 2 needs a bag of green triangle and orange square pattern blocks from the previous activity.
Launch
Groups of 2
Give each group of students a bag of 8–10 green triangle pattern blocks and a bag of 1–3 orange square pattern blocks.
Activity
“Make a group with counters that has more than the group of orange squares.”
30 seconds: quiet think time
1 minute: partner work time
“Figure out and tell your partner how many counters you have. Then figure out and tell your partner how many orange squares you have.”
2 minutes: partner work time
“Make a group with counters that has fewer than the group of green triangles.”
30 seconds: quiet think time
1 minute: partner work time
“Figure out and tell your partner how many counters you have. Then figure out and tell your partner how many green triangles you have.”
2 minutes: partner work time
Activity Synthesis
Invite 2–3 students to share the groups of counters that they made that have fewer than the green triangles.
“What is the same about the groups they made? What is different?” (They all made groups with different numbers of counters. They all have fewer than the green triangles.)


correct_option_index: 9