CH02-05 lesson

Personal Financial Literacy - Income and Spending Learning Activity

A focused Grade 5 learning session for Personal Financial Literacy - Income and Spending using visual models, worked examples, strategy guidance, and a short mastery check.

Start the lesson Print practice sample
15
minutes
6
lesson parts
11
practice items
Learning goal

Students will solve income and spending problems using operations, tables, and financial reasoning.

Student goal: I can solve income and spending problems.

Helpful first: Solving Multi-Step Word Problems with Whole Numbers
concept

Learn the Idea

Personal Financial Literacy - Income and Spending is the Grade 5 skill of define income and distinguish between needs and wants. Learn about different types of income, understand how spending choices affect savings, and analyze simple scenarios involving earning and spending money.

What do the numbers represent, and what strategy shows the idea clearly?

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: Define income and distinguish between needs and wants. Learn about different types of income, understand how spending choices affect savings, and analyze simple scenarios involving earning and spending money.
visual model

See the Math

Visual Model 1

Question: Marcus is saving money to buy a bicycle that costs \(285. He already has \)147. His grandmother gives him \(25 each week for doing chores. If Marcus also earns \)12 from selling lemonade every weekend, how many weeks will it take him to have enough money to buy the bicycle?

Grade 5 Personal Financial Literacy - Income and Spending figure 1

  • A. 3 weeks
  • B. 4 weeks
  • C. 5 weeks
  • D. 6 weeks

How the model helps: Marcus needs \(285 - 147 = 138\) additional dollars. Each week he earns $\(25 + \)12 = \(37\). Dividing: \(138 \div 37 \approx 3.73\), so he needs 4 full weeks. Check: \(147 + 4 \times 37 = 295 \geq 285\).

worked example

Follow a Worked Example

Example 1

Question: A library fundraiser collected three donations: $\(284.75\), $\(156.50\), and $\(320.25\). The library spends $\(450.00\) on new books. How much money is left?

Grade 5 Personal Financial Literacy - Income and Spending figure 2

  • $301.50
  • $761.50
  • $321.50
  • $311.50
  1. Add the donations: \(284.75+156.50+320.25=761.50\).
  2. Then subtract the cost of the books: \(761.50-450.00=311.50\).

Answer: $311.50

Example 2

Question: A runner completes a 5-mile course in 4 segments: 1.2 miles, 1.3 miles, 1.1 miles, and the final segment. How long is the final segment?

Grade 5 Personal Financial Literacy - Income and Spending figure 3

  • A. 1.2 miles
  • B. 1.3 miles
  • C. 1.4 miles
  • D. 1.5 miles
  1. Total is 5 miles.
  2. Sum of known segments: \(1.2 + 1.3 + 1.1 = 3.6\) miles.
  3. Final segment: \(5 - 3.6 = 1.4\) miles.

Answer: 1.4 miles

real world

Connect It to a Real Situation

Problem 1

Question: A classroom has 156 pencils. Ms. Chen distributes them equally among 12 students. How many pencils does each student get?

  • A. 11 pencils
  • B. 12 pencils
  • C. 13 pencils
  • D. 14 pencils

Answer: 13 pencils

Why it works: Divide total pencils by number of students: \(156 \div 12 = 13\) pencils per student.

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.
  • Connect each calculation to a spending, saving, or budgeting choice.
summary

Remember the Key Idea

Personal Financial Literacy - Income and Spending gets easier when students read the model, track what each number means, and explain why the answer fits the situation.

GOLDEN RULE

Use the numbers to make a smart decision, not just a fast calculation.

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-C01-T03-Q001 About 1 min

Which expression represents "4 times the sum of 8 and 3, then subtract 2 times 6"?

  1. A \(4 \times 8 + 3 - 2 \times 6\)
  2. B \(4 + (8 + 3) - 2 \times 6\)
  3. C \(4 \times (8 + 3) - 2 \times 6\)
  4. D \(4 \times (8 + 3 - 2) \times 6\)
Check answer and explanation

Answer C: \(4 \times (8 + 3) - 2 \times 6\)

The phrase "the sum of 8 and 3" means group \(8+3\). Then multiply by 4 and subtract the product \(2 \times 6\).

G5-C01-T03-Q002 About 1 min

Which expression represents "the sum of 7 and 5, multiplied by 3"?

  1. A \(7 + 5 \times 3\)
  2. B \((7+5) \times 3\)
  3. C \(7 \times (5+3)\)
  4. D \(7 + (5 \times 3)\)
Check answer and explanation

Answer B: \((7+5) \times 3\)

The words "the sum of 7 and 5" mean 7 and 5 must be grouped together as \((7+5)\). Then multiply that whole sum by 3.

guided

1 question
G5-C01-T03-Q003 About 1 min

Which expression represents "9 less than the product of 6 and 4"?

  1. A \(9 - 6 \times 4\)
  2. B \((6+4) - 9\)
  3. C \(9 \times (6-4)\)
  4. D \(6 \times 4 - 9\)
Check answer and explanation

Answer D: \(6 \times 4 - 9\)

The product of 6 and 4 is \(6 \times 4\). The phrase "9 less than" means subtract 9 from that product, so the expression is \(6 \times 4 - 9\).

practice

5 questions
G5-C01-T03-Q004 About 1 min

Which expression represents "twice the sum of 8 and 5"?

  1. A \(2 \times 8 + 5\)
  2. B \(2 + (8+5)\)
  3. C \(2 \times (8+5)\)
  4. D \(8 + 2 \times 5\)
Check answer and explanation

Answer C: \(2 \times (8+5)\)

"Twice" means multiply by 2. Since it is twice the whole sum, group \(8+5\) first: \(2 \times (8+5)\).

G5-C01-T03-Q005 About 1 min

Which verbal statement matches the expression \((20 - 4) \div 2\)?

  1. A Divide 20 by 4, then subtract 2
  2. B The difference of 20 and 4, divided by 2
  3. C 20 minus the quotient of 4 and 2
  4. D Twice the difference of 20 and 4
Check answer and explanation

Answer B: The difference of 20 and 4, divided by 2

The parentheses show the difference happens first: \(20-4\). Then that whole difference is divided by 2, matching choice B.

G5-C01-T03-Q006 About 1 min

Marissa bought 3 bags with 5 apples in each bag and then ate 2 apples. Which expression shows how many apples she has left?

  1. A \(3 + 5 - 2\)
  2. B \(3 \times 5 - 2\)
  3. C \(3 \times (5 - 2)\)
  4. D \((3+5) \times 2\)
Check answer and explanation

Answer B: \(3 \times 5 - 2\)

First find the apples Marissa bought: \(3\) bags times \(5\) apples is \(3 \times 5\). Then subtract the 2 apples she ate.

G5-C01-T03-Q007 About 1 min

Which expression represents "the product of 6 and the sum of 3 and 4"?

  1. A \(6 + (3+4)\)
  2. B \(6 \times 3 + 4\)
  3. C \(6 \times (3 + 4)\)
  4. D \((6+3) \times 4\)
Check answer and explanation

Answer C: \(6 \times (3 + 4)\)

The phrase "the sum of 3 and 4" needs parentheses. The product with 6 is \(6 \times (3+4)\).

G5-C01-T03-Q008 About 1 min

The tape diagram shows an expression. Which matches it?

Writing Simple Expressions from Verbal Statements visual for G5-C01-T03-Q008
  1. A \(8 + 3\)
  2. B \(3 \times 8\)
  3. C \(8 - 3\)
  4. D \(8 \div 3\)
Check answer and explanation

Answer B: \(3 \times 8\)

The tape diagram shows 3 equal parts, and each part is 8. That is \(3 \times 8\), for a total of 24.

exit

3 questions
G5-C01-T03-Q009 About 1 min

Which expression represents adding 7 to \(4 \times 9\)?

  1. A \(7 + 4 + 9\)
  2. B \(4 \times 9 + 7\)
  3. C \(7 \times (4 + 9)\)
  4. D \(4 \times (9 + 7)\)
Check answer and explanation

Answer B: \(4 \times 9 + 7\)

Start with the product \(4 \times 9\). Adding 7 to that product gives \(4 \times 9 + 7\).

G5-C01-T03-Q010 About 1 min

Which phrase matches \(\,8 \times (6 - 2)\)?

  1. A 8 times 6 minus 2
  2. B 8 times the difference of 6 and 2
  3. C The difference of 8 times 6 and 2
  4. D 2 less than 8 times 6
Check answer and explanation

Answer B: 8 times the difference of 6 and 2

The parentheses tell us that \(6-2\) is one grouped amount: "the difference of 6 and 2." Then 8 is multiplied by that difference.

G5-C01-T03-Q011 About 1 min

Which expression is "half of the sum of 12 and 8"?

  1. A \(\frac{1}{2} \times 12 + 8\)
  2. B \(\frac{12 + 8}{2}\)
  3. C \(12 + \frac{8}{2}\)
  4. D \(\frac{12}{2} + 8\)
Check answer and explanation

Answer B: \(\frac{12 + 8}{2}\)

"The sum of 12 and 8" means group \(12+8\). "Half of" that sum means divide the grouped total by 2.

Keep the learning path connected
Previous skillSolving Multi-Step Word Problems with Whole Numbers Recommended nextPersonal Financial Literacy - Saving and Budgeting Same strandPatterns with Powers of Ten Same strandReading and Writing Decimals to Thousandths
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