CH08-02 lesson

Solving Multi-Step Problems with Conversions Learning Activity

A focused Grade 5 learning session for Solving Multi-Step Problems with Conversions using visual models, worked examples, strategy guidance, and a short mastery check.

Start the lesson Print practice sample
18
minutes
6
lesson parts
11
practice items
Learning goal

Students will solve multi-step measurement problems that require conversions.

Student goal: I can solve multi-step problems with measurement conversions.

Helpful first: Converting Measurement Units
concept

Learn the Idea

Solving Multi-Step Problems with Conversions is the Grade 5 skill of students use measurement conversions to solve multi-step real-world problems involving distance, weight, capacity, and time. They apply unit analysis and check the reasonableness of their results.

Which unit is being used, and how does the conversion stay equivalent?

Strong understanding comes from naming what the numbers, shapes, units, or data values represent, then showing the idea with a model or clear steps before solving.

The key to this topic is understanding the structure behind the work, not just following a rule. Students should be able to talk through what is happening, point to a model, and explain why the answer makes sense.

  • Identify what each number, unit, or symbol means before solving.
  • Choose a model or strategy that makes the relationship visible.
  • Explain why the answer fits the situation instead of stopping at computation.
  • Use the topic language from class discussions: Students use measurement conversions to solve multi-step real-world problems involving distance, weight, capacity, and time. They apply unit analysis and check the reasonableness of their results.
visual model

See the Math

Visual Model 1

Question: Test Text The chart shows the weights of different packages at a shipping center. What is the total weight of all packages?

Grade 5 Solving Multi-Step Problems with Conversions figure 1

  • A. 16.8 pounds
  • B. 17.0 pounds
  • C. 17.2 pounds
  • D. 17.4 pounds

How the model helps: Explanation Text From the chart: Package A = 3.8, B = 2.6, C = 4.2, D = 3.5, E = 2.9 pounds. Add: \(3.8 + 2.6 + 4.2 + 3.5 + 2.9 = 17.0\) pounds. Check by regrouping: \((3.8 + 2.9) + (2.6 + 3.5) + 4.2 = 6.7 + 6.1 + 4.2 = 17.0\). Therefore, the total weight is 17.0 pounds.

worked example

Follow a Worked Example

Example 1

Question: A track coach records times for three runners: What is the difference between the fastest and slowest time?

RunnerTime (seconds)
Jasmine52.8
Marcus49.5
Sophia51.2
  • A. 1.6 seconds
  • B. 2.3 seconds
  • C. 3.3 seconds
  • D. 3.7 seconds
  1. Fastest: 49.5 seconds (Marcus).
  2. Slowest: 52.8 seconds (Jasmine).
  3. Difference: 52.8 -- 49.5 = 3.3 seconds.

Answer: 3.3 seconds

Example 2

Question: Four packages are shipped together. Their weights are: Package 1: 8.5 kg Package 2: 12.3 kg Package 3: 9.7 kg Package 4: 10.5 kg What is the combined weight in kilograms?

Grade 5 Solving Multi-Step Problems with Conversions figure 3

  • A. 38.5 kg
  • B. 40.0 kg
  • C. 41.0 kg
  • D. 42.5 kg
  1. Total: 8.5 + 12.3 + 9.7 + 10.5 = 41.0 kg.

Answer: 41.0 kg

real world

Connect It to a Real Situation

Problem 1

Question: Maria is mixing fruit punch. She needs 2 cups of juice. She already measured 1 cup 4 fluid ounces. How much more juice does she need to add? Use: 1 cup = 8 fluid ounces

  • A. 4 fluid ounces
  • B. 8 fluid ounces
  • C. 12 fluid ounces
  • D. 16 fluid ounces

Answer: 4 fluid ounces

Why it works: Two cups is 16 fluid ounces. Maria already measured \(1\) cup \(4\) fluid ounces, or 12 fluid ounces, so \(16-12=4\) fluid ounces remain.

strategy

Avoid Mistakes and Choose a Strategy

  • Starting the computation before identifying what the numbers, units, or parts represent.
  • Skipping the model or visual and relying only on a memorized rule.
  • Forgetting to estimate, which makes it easier to miss an unreasonable answer.
  • Stopping at a number without explaining what the answer means in context.
  • Read the situation slowly and name what each number or label represents.
  • Use a model, table, chart, number line, or sketch before finishing the computation.
  • Estimate first so you already know the answer's approximate size.
  • Check the answer with an inverse operation, another representation, or a sentence explanation.
  • Say the math idea out loud in simple words before writing the final answer.
summary

Remember the Key Idea

Solving Multi-Step Problems with Conversions gets easier when students read the model, track what each number means, and explain why the answer fits the situation.

GOLDEN RULE

Understand the structure first, then solve, check, and explain why the answer makes sense.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G5-C06-T01-Q001 About 1 min

% Q1: Customary length conversion (yards to feet) A ribbon is \(5\) yards long. How many feet long is the ribbon?
Use: 1 yard = 3 feet

Converting Customary Units visual for G5-C06-T01-Q001
  1. A 8 feet
  2. B 12 feet
  3. C 15 feet
  4. D 60 feet
Check answer and explanation

Answer C: 15 feet

To convert yards to feet, multiply by 3: \(5 \text{ yd} \times 3 \text{ ft/yd} = 15\) feet.

G5-C06-T01-Q002 About 1 min

% Q2: Easy, direct conversion. LENGTH: inches to feet. How many feet are in 36 inches?

Converting Customary Units visual for G5-C06-T01-Q002
  1. A 2 feet
  2. B 6 feet
  3. C 4 feet
  4. D 3 feet
Check answer and explanation

Answer D: 3 feet

Since 12 inches = 1 foot, divide 36 by 12: \(36 \div 12 = 3\) feet.

guided

1 question
G5-C06-T01-Q003 About 1 min

% Q3: Easy, direct conversion. LENGTH: feet to inches. How many inches are in 5 feet?

Converting Customary Units visual for G5-C06-T01-Q003
  1. A 50 inches
  2. B 60 inches
  3. C 70 inches
  4. D 80 inches
Check answer and explanation

Answer B: 60 inches

Since 12 inches = 1 foot, multiply 5 by 12: \(5 \times 12 = 60\) inches.

practice

5 questions
G5-C06-T01-Q004 About 1 min

% Q4 REVISED: Capacity with fractional cups converted to fluid ounces. A recipe uses \(1\frac{1}{2}\) cups of milk and \(\frac{1}{2}\) cup of water. How many fluid ounces of liquid is that in all? Use: 1 cup = 8 fl oz

Converting Customary Units visual for G5-C06-T01-Q004
  1. A 8 fl oz
  2. B 12 fl oz
  3. C 16 fl oz
  4. D 20 fl oz
Check answer and explanation

Answer C: 16 fl oz

First add the liquid amounts: \(1\frac{1}{2}+\frac{1}{2}=2\) cups. Since 1 cup is 8 fl oz, \(2\times 8=16\) fl oz.

G5-C06-T01-Q005 About 1 min

% Q5: Visual. LENGTH ruler with inch marks. Which measurement is shown on the ruler?

Converting Customary Units visual for G5-C06-T01-Q005
  1. A \(2\frac{1}{2}\) inches
  2. B \(2\) inches
  3. C \(3\) inches
  4. D \(2\frac{1}{4}\) inches
Check answer and explanation

Answer A: \(2\frac{1}{2}\) inches

The shaded bar extends from 0 to 2.5, which is \(2\frac{1}{2}\) inches.

G5-C06-T01-Q006 About 1 min

% Q6: Easy, direct conversion. CAPACITY: pints to cups. How many cups are in 4 pints?

Converting Customary Units visual for G5-C06-T01-Q006
  1. A 4 cups
  2. B 6 cups
  3. C 8 cups
  4. D 10 cups
Check answer and explanation

Answer C: 8 cups

Since 2 cups = 1 pint, multiply 4 by 2: \(4 \times 2 = 8\) cups.

G5-C06-T01-Q007 About 1 min

Maria has a ribbon that is 4 feet long. She wants to cut it into 12-inch pieces. How many pieces can she make?

  1. A 2 pieces
  2. B 3 pieces
  3. C 4 pieces
  4. D 5 pieces
Check answer and explanation

Answer C: 4 pieces

Convert 4 feet to inches: \(4 \times 12 = 48\) inches. Divide by 12-inch pieces: \(48 \div 12 = 4\) pieces.

G5-C06-T01-Q008 About 1 min

% Q8: Medium, conversion table visual. WEIGHT. Look at the table. How many ounces are in 3 pounds?

Converting Customary Units visual for G5-C06-T01-Q008
  1. A 36 ounces
  2. B 40 ounces
  3. C 48 ounces
  4. D 50 ounces
Check answer and explanation

Answer C: 48 ounces

Since 16 ounces = 1 pound, multiply 3 by 16: \(3 \times 16 = 48\) ounces. The pattern shows each pound adds 16 ounces.

exit

3 questions
G5-C06-T01-Q009 About 1 min

% Q9: Easy, direct. CAPACITY: quarts to pints. How many pints are in 3 quarts?

  1. A 3 pints
  2. B 4 pints
  3. C 8 pints
  4. D 6 pints
Check answer and explanation

Answer D: 6 pints

Since 2 pints = 1 quart, multiply 3 by 2: \(3 \times 2 = 6\) pints.

G5-C06-T01-Q010 About 1 min

How many quarts are in 2 gallons?

  1. A 4 quarts
  2. B 6 quarts
  3. C 8 quarts
  4. D 10 quarts
Check answer and explanation

Answer C: 8 quarts

Since 4 quarts = 1 gallon, multiply 2 by 4: \(2 \times 4 = 8\) quarts.

G5-C06-T01-Q011 About 1 min

% Q11 REVISED: Visual. CAPACITY comparing cups and fluid ounces. How many cups equal 24 fluid ounces?

Converting Customary Units visual for G5-C06-T01-Q011
  1. A 3 cups
  2. B 4 cups
  3. C 2 cups
  4. D 6 cups
Check answer and explanation

Answer A: 3 cups

Since 8 fl oz = 1 cup, divide 24 by 8: \(24 \div 8 = 3\) cups.

Keep the learning path connected
Previous skillConverting Measurement Units Recommended nextLine Plots with Fractional Data Same strandConverting Measurement Units Same strandLine Plots with Fractional Data
Page UP