The purpose of this Warm-up is to elicit ideas about baking, which will be useful when students solve a problem about a recipe in a later activity. While students may notice and wonder many things about the image, baked goods with which students are familiar and details about the process of how those baked goods are made are the important discussion points.
Launch
Groups of 2
Display the image.
“¿Qué observan? ¿Qué se preguntan?” // “What do you notice? What do you wonder?”
1 minute: quiet think time
Activity
“Discutan con su compañero lo que pensaron” // “Discuss your thinking with your partner.”
1 minute: partner discussion
Share and record responses.
Student Task Statement
¿Qué observas? ¿Qué te preguntas?
Student Response
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Advancing Student Thinking
Activity Synthesis
“La imagen muestra un panadero preparando la base de una tarta. ¿Qué tipos de productos horneados les gusta consumir en familia o con su comunidad?” // “This image is of a baker making a pie crust. What types of baked goods do you enjoy in your community, or with your family?”
“¿Qué saben acerca de cómo se preparan estos productos horneados?” // “What do you know about how those baked goods are made?” (The ingredients have to be measured for them to come out right. You follow a recipe to make it.)
Activity 1
20 mins
¿Qué hay en una receta?
Standards Alignment
Building On
Addressing
Building Toward
5.NF.B.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
The purpose of this activity is for students to familiarize themselves with the structure of a recipe and consider the mathematical questions that could be asked about a recipe. When students wonder about what mathematics is involved in a situation, they model with mathematics (MP4). A blackline master of a recipe has been provided. If available, have students use cookbooks or internet enabled devices to look for recipes that interest them.
Launch
Groups of 4
“Vamos a mirar algunas recetas y a pensar en las preguntas matemáticas que podemos hacer sobre ellas” // “We are going to look at some recipes and think about the mathematical questions we might ask about them.”
Give each group a copy of the blackline master, a cookbook, or access to an internet enabled device to find recipes.
Activity
8–10 minutes: small-group work time
Monitor for students who:
Identify units of measure that are found in recipes, such as cups, teaspoons, and tablespoons.
Find fractional measurements listed in recipes.
Create mathematical questions they could ask about the recipe.
Student Task Statement
¿Qué tipo de información se da en las recetas?
¿Qué tipos de preguntas matemáticas se pueden hacer acerca de una receta?
Student Response
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Advancing Student Thinking
Activity Synthesis
Invite previously selected students to share the kinds of information they found in recipes.
If available display examples of a measuring cup, a teaspoon, and a tablespoon for student reference.
Invite students to share mathematical questions that could be asked about a recipe.
Activity 2
20 mins
El reto de la receta de Noah
Standards Alignment
Building On
Addressing
5.NF.B.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
The purpose of this activity is for students to use what they have learned about multiplying and dividing fractions to solve a problem involving a recipe. Students have to figure out a way to measure the ingredients for a recipe using a limited set of measuring tools. They have to look for relationships between the amounts that need to be measured and the tools that are available. When students model a situation using a representation such as a drawing or equation, they model with mathematics (MP4).
Launch
Groups of 4
“Tómense un momento para leer el reto de la receta de Noah. Piensen en cómo pueden resolver el problema” // “Take a moment to read about Noah’s recipe challenge. Think about how you might solve the problem.”
1–2 minutes: quiet think time
“En grupo, ayuden a Noah a descubrir cómo puede preparar la receta usando únicamente las herramientas para medir que tiene” // “Work with your group to help Noah figure out how he could make this recipe with just the measuring tools he has.”
Activity
10–12 minutes: small-group work time
Monitor for students who:
Recognize that he won’t need the measuring tools for some of the ingredients because they are counted.
Represent part of the problem with the multiplication of fractions.
Represent part of the problem with the division of a unit fraction by a whole number or vice versa.
Student Task Statement
Noah quiere preparar pan de banano usando esta receta. Él solo tiene una taza medidora de de taza y una cucharita medidora de cucharadita. ¿Cómo puede Noah preparar esta receta usando estas 2 herramientas para medir? Muestra cómo pensaste. Usa dibujos o ecuaciones.
2 o 3 bananos
taza de mantequilla
cucharadita de bicarbonato de sodio
de cucharadita de sal
de taza de azúcar morena
2 huevos
1 cucharadita de esencia de vainilla
2 tazas de harina
Student Response
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Advancing Student Thinking
Activity Synthesis
Invite previously selected students to share how they solved part of the problem.
Lesson Synthesis
“Hoy usamos lo que hemos aprendido sobre multiplicar fracciones y dividir números enteros y fracciones unitarias para resolver un problema sobre una receta” // “Today we used what we’ve learned about multiplying fractions and dividing whole numbers and unit fractions to solve a problem about a recipe.”
“Al resolver el problema de hoy, ¿cómo les ayudaron las relaciones entre las herramientas para medir y las cantidades de la receta?” // “How were some of the relationships between the measuring tools and the amounts in the recipe helpful as you solved the problem today?” (I knew that I could make 2 out of groups of , which helped me think to divide 2 by to find how many quarter cups he needed to measure the flour. I knew that I could multiply by a whole number to get which helped me figure out how Noah could measure the brown sugar.)
Consider having students respond to the previous question as a journal prompt.
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Help us improve by sharing suggestions or reporting issues.
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?