Determine the Area of Parallelograms and Rhombuses

6.GR.1 · Unit 5 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can find the area of a parallelogram using base × height.

Language Objective: I can explain how I found the area using the words base, height, area, and formula.

Key Idea / Idea clave

Area of Parallelograms & Rhombuses. Formula: Area = Base × Height (A = b · h). 1. Identify the base (any side). 2. Identify the perpendicular height (height must be perpendicular to base, not slanted). 3. Multiply base times height; label with square units (e.g. cm², in²)

I Notice / Observo

  • What shape is the patio?
  • What measurements are given?

I Wonder / Me pregunto

  • Why do we use the height instead of the slanted side to find the area?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Area of Parallelograms
Área de paralelogramos		The space inside a parallelogram. Formula: A = b × h, using the perpendicular height.
El espacio dentro de un paralelogramo. Fórmula: A = b × h, usando la altura perpendicular.
Slanted side
Lado inclinado		A side that leans instead of going straight up and down. It is not the perpendicular height.
Un lado que está inclinado en vez de subir y bajar verticalmente. No es la altura perpendicular.
Parallelogram
Paralelogramo		A four-sided shape with two pairs of parallel sides.
Una figura de cuatro lados con dos pares de lados paralelos.
Parallel
Paralelas		Two lines or sides that stay the same distance apart and never meet.
Dos líneas o lados que se mantienen a la misma distancia y nunca se cruzan.
Base
Base		Any side of a parallelogram can be the base. Once you pick a base, the height must be measured perpendicular (at a 90° angle) to it.
Cualquier lado de un paralelogramo puede ser la base. Una vez que eliges la base, la altura debe medirse perpendicular (en un ángulo de 90°) a ella.
Height
Altura		The straight-up distance from the base to the top.
La distancia recta hacia arriba desde la base hasta la parte de arriba.

Practice Preview / Vista previa de práctica

  1. What is the area of a parallelogram with base 10 cm and height 7 cm?
    1. 70 sq cm
    2. 34 sq cm
    3. 17 sq cm
    4. 70 cm
  2. Problem 2
  3. Match each shape to its area.
  4. Find the Area Error
    1. Step 1: Identify base and height — b = 11 m, slant side = 8 m, h = 6 m
    2. Step 2: Write the formula — A = b × h
    3. Step 3: Substitute values — A = 11 × 8
    4. Step 4: Calculate — A = 88 sq m

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

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