Math is Explaining and Sharing

5.MD.C.5 · Unit 1 · Lesson 4

Name   Period

Objectives / Objetivos

Content Objective: I can construct an argument using equations, drawings, or words, and use volume to defend a recommendation.

Language Objective: I can explain my thinking with clear math vocabulary using the words argument, conjecture, and cubic units.

Key Idea / Idea clave

Math Practices: Mathematical Arguments & Justification. 1. State a clear claim or conjecture supported by calculations. 2. Use accurate units and vocabulary (e.g. cubic units for volume). 3. Test with counterexamples to verify that the rule holds true every time

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
argument
argumento		A chain of reasons — equations, drawings, or words — used to defend your thinking.
Una cadena de razones — ecuaciones, dibujos o palabras — que usas para defender tu pensamiento.
conjecture
conjetura		A mathematical statement you believe is true but have not yet proven.
Una afirmación matemática que crees verdadera pero que aún no has probado.
counterexample
contraejemplo		A single example that shows a statement is not always true.
Un solo ejemplo que muestra que una afirmación no siempre es verdadera.
volume
volumen		The amount of space a solid figure takes up, measured in cubic units.
La cantidad de espacio que ocupa una figura sólida, medida en unidades cúbicas.
cubic unit
unidad cúbica		A cube with edges 1 unit long — the unit used to measure volume.
Un cubo cuyas aristas miden 1 unidad — la unidad que se usa para medir el volumen.

Practice Preview / Vista previa de práctica

  1. An egg muffin is about 60 calories. A plate holds 4 egg muffins. About how many calories are on the plate?
    1. About 240
    2. About 64
    3. About 15
    4. About 600
  2. Three large boxes hold 240 cubic inches each. Two jumbo boxes hold 400 cubic inches each. Which is the correct volume comparison?
    1. 720 cubic inches vs. 800 cubic inches — the jumbo option holds more
    2. 720 cubic inches vs. 800 cubic inches — the large option holds more
    3. 240 cubic inches vs. 400 cubic inches — the jumbo option holds more
    4. 480 cubic inches vs. 800 cubic inches — the jumbo option holds more
  3. One garden bed is 4 ft long, 3 ft wide, and 2 ft deep. A second bed is 6 ft long, 2 ft wide, and 2 ft deep. How much soil fills BOTH beds?
    1. 48 cubic feet
    2. 24 cubic feet
    3. 19 cubic feet
    4. 96 cubic feet
  4. A student claims: “Greater box volume ALWAYS means more cereal inside.” Which is the best counterexample?
    1. A jumbo box with more volume that is sold half-filled with air
    2. A large box that costs more than a jumbo box
    3. Two jumbo boxes that are easier to store than three large boxes
    4. A box of a different cereal brand

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: