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The purpose of this Warm-up is to elicit the idea that there are many mathematical contexts at a state or county fair, and to familiarize students with some possible situations before they solve problems in upcoming activities.
What do you notice? What do you wonder?
The purpose of this activity is for students to solve problems involving weights that are given in the same units. Students begin by generating mathematical questions about an image of two giant pumpkins. Then weights are given for each pumpkin, and students narrow down the questions that could be answered with this information. Students then solve one of the problems generated by the class. All students can solve the same problem or each group could solve a different problem. As students are generating questions that can be answered, decide which option makes the most sense for your class.
This activity uses MLR5 Co-craft Questions. Advances: Writing, Reading, Representing.
MLR5 Co-Craft Questions
Card Sort Giant Pumpkins Cards
The purpose of this activity is for students to make sense of representations of situations involving weights and liquid volumes. Students are reminded that tape diagrams can be used to represent relationships between quantities in different types of problems.
As students analyze descriptions of situations and make connections across representations, they practice looking for and making use of structure (MP7). As they relate the numbers and relationships in situations to those in diagrams, they reason quantitatively and abstractly (MP2).
Give each group a set of cards.
Your teacher will give you a set of cards with situations and diagrams.
Match each situation to a diagram. Be ready to explain your reasoning.
“Today we solved problems about weight and liquid volume related to giant pumpkins. What helps you make sense of such problems?” (It helps to think about what is happening in the situation and to relate the weights or liquid volumes to what I know, like how heavy 1 kilogram is or how much 1 liter is.)
“What representations do you like to use when solving problems involving weight or liquid volume?” (When I am adding and subtracting, I like to use a number line, tape diagram, or just equations. When I am multiplying or dividing, I draw equal groups or base-ten diagrams.)