Grade 4 - Measurement Unit
The Measurement Unit involves strong connections between attributes that can be measured (distance, time, capacity, mass, and area), formula building (algebraic reasoning), and the four operations. Questions to answer may include:
- How does knowing the relative sizes of measurement units help to estimate measurements? How does estimation help to determine the reasonableness of a measure?
- How are the four operations useful in quantifying attributes that can be measured?
- What is a formula? What variables are involved in finding area? How does the formula for finding area differ from the formula for finding perimeter? How can you explain this?
Math Concepts and Skills:
The student selects appropriate customary and metric units, strategies, and tools to solve problems involving measurement.
The student:
- uses the relative sizes of measurement units to convert measurements within the same measurement system, customary or metric.
- solves problems involving measurements of length, intervals of time, liquid volumes, and mass using all four operations as appropriate.
- develops the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w) including the special form for the perimeter of a square (4s) and the area of a rectangle (l x w).
- solves problems related to perimeter and area of rectangles with whole number dimensions.
Summative Assessment Task
Students determine all the possible ways Mrs. Martinez can put up fencing around her garden, and which way will give her the most space for the garden..
Students determine all the possible bulletin board sizes a principal could order to fit a 48 square foot area.
Instructional Tasks/Formative Assessments
Students determine how many times a day a dad and his son must fill their water bottles to drink the recommended daily amount of water.
Given 36 square feet of space, students determine possible dimensions for a puppy kennel, and how much Juan will pay for fencing for the kennel.
Given the time it takes Jeff to make seven car parts, students determine at what time Jeff will have made a total of 56 car parts, if he starts at 10:00 a.m.
Given some facts about African elephants, students determine the weight of a full-grown African elephant in tons. Students also determine how many tons of food an African elephant usually eats in eight days.
Given an area of 200 square meters, students determine all the possible dimensions for a rectangular-shaped garden for the Morgan family.
Students determine all the possible dimensions for a sandbox frame and determine the frame that provides the most space for holding sand.
Given a list of activities and the time it takes to complete each activity, students determine the earliest time William can arrive at the movie theater to meet his friends.
Students determine how many one-yard lengths of metal strips Xeno needs to buy to make a new xylophone.