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

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.

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

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 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.

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

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.

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.
problem_activity: Narrative
The purpose of this activity is for students to practice multiplying fractions. The structure of the activity is identical to the previous one except that the goal is to have the smallest product. Monitor for students who identify the common structure with the previous game and place the larger numbers in the denominator and the smaller ones in the numerator (MP8).
Engagement: Internalize Self-Regulation.
Synthesis: Provide students an opportunity to self-assess and reflect on their own progress. For example, ask students to compare their calculated products to their partner’s. Encourage students to include how each factor impacted the product in their comparisons.
Supports accessibility for: Conceptual Understanding, Language
Required Materials
Materials to Gather
Paper clips
Required Preparation
Each group of 2 needs a paper clip.
Launch
Groups of 2
“We are going to play another round of Fraction Multiplication Compare, but this time the person with the smallest product is the winner.”
“Will you use the same strategy that you used when trying to make the greatest product?" (No because there the goal was to get the biggest product.)
1 minute: quiet think time
1 minute: partner discussion
Give each group a paper clip.
“Play Fraction Multiplication Compare with your partner.”
Activity
10–15 minutes: partner work time
Student Facing
[IMG]
Use the directions to play Fraction Multiplication Compare with your partner.
Spin the spinner.
Write the number you spun in one of the four blank boxes.
Player two spins and writes the number on their game board.
Continue taking turns until all four blank boxes are filled.
Multiply your fractions.
The player with the smallest product wins.
Play again.
Round 1
\(\frac{\boxed{\phantom{111\frac{1}{1}}}}{\boxed{\phantom{111\frac{1}{1}}}}\, \times\, \frac{\boxed{\phantom{111\frac{1}{1}}}}{\boxed{\phantom{111\frac{1}{1}}}}\, =\, \underline{\hspace{1cm}}\)
Round 2
\(\frac{\boxed{\phantom{111\frac{1}{1}}}}{\boxed{\phantom{111\frac{1}{1}}}}\, \times \, \frac{\boxed{\phantom{111\frac{1}{1}}}}{\boxed{\phantom{111\frac{1}{1}}}}\, = \,\underline{\hspace{1cm}}\)
What strategy did you use to choose where to write the numbers?
Student Response
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Activity Synthesis
“How was this game the same as the earlier version of Fraction Multiplication Compare?” (I knew where to put big numbers like 8 and 9 and small numbers like 1 and 2. It was hard to know where to put the middle numbers like 4 or 5.)
“How did your strategy change when trying to make the smallest product?” (It was the opposite of the first game. I tried to put the biggest numbers in the denominator and the smallest numbers in the numerator).


correct_option_index: 1