Grade 4 · Mathematics
Quarter 3 · Week 9 · TEKS
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This lesson teaches fourth-grade students how to solve real-world problems involving measurements of length, time intervals, liquid volumes, mass, and money. Students will apply addition, subtraction, multiplication, or division as appropriate to find solutions. The lesson emphasizes selecting the correct operation based on the problem context and using customary and metric units.
Students should understand basic addition, subtraction, multiplication, and division facts and be familiar with customary and metric units of measurement for length, time, volume, mass, and money.
Measurement problems can involve different quantities such as length (how long something is), intervals of time (how much time passes), liquid volume (how much liquid is in a container), mass (how heavy something is), and money (amounts of currency). Recognizing the type of measurement helps determine which units and operations to use.
To solve measurement problems, students must decide whether to add, subtract, multiply, or divide. For example, addition might be used to find total length when combining two pieces, subtraction to find remaining time, multiplication to find total volume when scaling up, and division to split money equally. Understanding the context of the problem guides this choice.
Students should be familiar with both customary units (inches, feet, pounds, gallons, dollars) and metric units (centimeters, meters, grams, liters). Selecting the correct unit and converting between units when necessary is important for accurate problem solving.
Measurement problems can require one or two steps. For example, a problem might ask for the total mass of two objects (one step: addition) or require finding the total cost of multiple items and then subtracting a discount (two steps: multiplication and subtraction). Students should practice breaking down problems into steps and solving each carefully.
Students may confuse when to add or subtract, or may multiply when division is needed. They might also mix units incorrectly or forget to label answers with units. Emphasizing careful reading of the problem and checking work helps avoid these errors.
A recipe calls for 3 cups of milk, but you want to make double the recipe. How many cups of milk do you need?
Since you want to double the recipe, multiply the amount of milk by 2. Multiplying 3 cups by 2 gives 6 cups. So, you need 6 cups of milk.
6 cups of milk
You have a 12-foot ribbon and cut off 5 feet. How much ribbon is left?
Subtract the length cut off from the total length. 12 feet minus 5 feet equals 7 feet left.
7 feet of ribbon left
A clock shows 2:15 PM. What time will it be 45 minutes later?
Add 45 minutes to 2:15 PM. 15 minutes plus 45 minutes equals 60 minutes, which is 1 hour. So, 2:15 PM plus 45 minutes is 3:00 PM.
3:00 PM
You buy 4 packs of pencils. Each pack has 6 pencils. How many pencils do you have in total?
Multiply the number of packs by the pencils per pack. 4 times 6 equals 24 pencils in total.
24 pencils
You have $20 and spend $7. How much money do you have left?
Subtract the amount spent from the total money. $20 minus $7 equals $13 left.
$13 left
Present a real-world scenario, such as planning a picnic, where students need to measure length of a blanket, time until the event, volume of drinks, mass of food, and money for supplies.
Discuss in pairs what types of measurements are involved and what information is needed to solve problems related to the picnic.
Engaging students with a familiar context helps them connect measurement concepts to everyday life and prepares them to identify different measurement types.
Provide students with measurement tools and simple problems involving length, time, volume, mass, and money. Guide them to solve these using addition, subtraction, multiplication, or division.
Work in small groups to measure objects, record data, and solve given problems, explaining their choice of operations.
Hands-on exploration allows students to apply operations to real measurements and develop reasoning about which operation fits each problem.
Demonstrate solving a multi-step measurement problem, modeling thinking aloud about operation choice and unit use.
Listen and ask questions; then solve a similar problem with teacher support.
Explicit modeling helps students understand the thought process behind solving measurement problems and reinforces correct operation selection.
Challenge students with real-world problems that combine multiple measurement types and require two-step operations.
Work independently or in pairs to solve these problems and explain their reasoning in writing or orally.
Applying skills to complex problems deepens understanding and builds confidence in measurement problem solving.
Give an exit task where students solve a measurement problem and explain their operation choice.
Complete the task independently and share explanations with the class or teacher.
The exit task assesses students' ability to apply measurement problem-solving skills and communicate their reasoning.
Work in small groups to measure objects, record data, and solve given problems, explaining their choice of operations.
If a rope is 10 meters long and you cut off 3 meters, how long is the rope now?
7 meters (10 - 3 = 7)
You have 5 bottles of juice. Each bottle holds 2 liters. How many liters of juice do you have in total?
10 liters (5 × 2 = 10)
A movie starts at 4:30 PM and lasts 2 hours and 15 minutes. What time does the movie end?
6:45 PM (4:30 PM + 2 hours 15 minutes)
You buy 3 bags of apples. Each bag weighs 4 pounds. You eat 5 pounds of apples. How many pounds of apples do you have left?
7 pounds (3 × 4 = 12; 12 - 5 = 7)
You have $50. You buy 3 books costing $12 each and a notebook costing $8. How much money do you have left?
$6 (50 - (3 × 12 + 8) = 6)
Provide step-by-step guided problems with visual aids. Use manipulatives to represent measurement quantities. Allow use of calculators for multiplication and division.
Use clear, simple language and visuals to explain measurement terms. Provide vocabulary cards with pictures for key terms. Encourage peer discussion to practice explaining reasoning.
Challenge students with multi-step problems involving conversions between units. Encourage students to create their own measurement problems. Introduce problems involving estimation and rounding in measurement contexts.
Encourage students to help measure ingredients during cooking or baking at home, keeping track of measurements and solving related problems using addition, subtraction, multiplication, or division.
Students learned to solve measurement problems involving length, intervals of time, liquid volumes, mass, and money by selecting and applying the appropriate mathematical operations. They practiced using customary and metric units and explained their reasoning. This skill helps connect math to everyday life and builds problem-solving confidence.
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