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F1.3 · Describe factors that help or hinder financial goals

Learn to describe factors that help or hinder financial goals through clear examples and targeted practice.

Ontario Grade 6 Mathematics

Financial Literacy

Grade 6 Mathematics — F1.3

Imagine saving for a book that costs CAD 45. You have already saved CAD 15. Your goal is clear, but reaching it can depend on many things. Saving some money regularly may help. Spending the money you planned to save may slow you down. In this lesson, a financial goal means something you plan to do with money, such as saving for an item. A factor is something that can affect what happens. Some factors help a goal; others hinder it, or make it harder to reach. The examples use hypothetical amounts. They are for learning, not real offers or advice.

What you will learn

Explain what a financial goal is.
Identify choices and events that can help or hinder a financial goal.
Use simple amounts to describe how a choice affects progress toward a goal.

Start with the goal and the money available

A goal is easier to think about when it is specific. “Save money” is broad. “Save CAD 45 for a book” names what the money is for and how much is needed. A goal may also include a time, if one is stated. Do not assume that every goal has a fixed deadline.

Before comparing choices, review two ideas. Money coming in is money you receive, such as an allowance or gift. Money going out is money you spend. A plan is an idea for how to use money. These ideas help you notice whether a choice leaves money available for the goal.

If you have CAD 15 and need CAD 45, the difference is CAD 30. In plain language, you still need CAD 30. This simple comparison does not tell you whether you will reach the goal. It helps you describe the size of the task.

45-15=30

Name the goal and the amount needed when the amount is known.
Money received, money spent, and a plan can affect progress.
A factor is something that changes how easy or hard a goal may be.

Notice factors that help or hinder

A factor helps when it supports progress toward the goal. For example, setting aside part of a gift instead of spending all of it may help. Keeping the goal in mind can also help someone make a choice that fits the plan. A plan works only if the person can follow it.

A factor hinders when it makes progress slower or less likely. Spending money that was meant for the goal reduces the amount saved. A new cost may also leave less money available. A change in the goal, such as choosing a more costly item, can make the target harder to reach.

Some factors are choices, such as deciding to save or spend. Other factors are events a person may not control, such as an item becoming unavailable. Describe the factor and its effect. For example: “Saving part of a gift helps because more money is set aside for the goal.” That is clearer than simply saying “saving is good.”

A factor may affect people differently. A choice that helps one goal could hinder another. Spending on a needed item may be important, even if it means saving less for a separate goal. The point is to describe the effect on the named goal, not to label every purchase as good or bad.

Explain how a factor affects the particular goal.
Choices and events can both help or hinder.
A factor can change the amount available or make the goal harder to reach.

Use simple comparisons to explain progress

A small model can make a choice easier to discuss. Suppose a learner has CAD 30 and wants a game that costs CAD 50. In one hypothetical plan, CAD 10 is set aside for the goal. In another, CAD 5 is spent on a different item and only CAD 5 is set aside. The first choice puts more toward the goal. The second choice does not make the goal impossible, but it slows progress compared with the first plan.

A bar chart can show the amounts in a stated example. Each bar should have a label and a scale that matches the amounts. A chart does not predict what will happen in real life. It displays only the information given in the example.

When you explain a financial goal, use a simple pattern: name the goal, name the factor, and describe its effect. If exact amounts are given, compare them carefully. If no amount is given, do not invent one. You can still describe the likely effect in words.

Use only the amounts provided in a situation.
Compare choices by asking which leaves more money for the stated goal.
A clear explanation connects a factor to its effect.

A quick way to think it through

First, state the goal. Next, find the factor in the situation. Then ask whether it adds support, uses money planned for the goal, changes the target, or otherwise affects progress. Finally, explain the connection in a complete sentence.

You do not need a complicated calculation to describe every factor. If a story gives no amounts, use words. If it gives amounts, simple addition or subtraction may help you compare what is available with what is needed. Keep the calculation tied to the goal.

Goal: What is the person trying to do with money?
Factor: What choice or event affects the goal?
Effect: Does it help or hinder, and how?

Worked example

A gift and a savings goal

Hypothetical situation: Maya wants to save CAD 40 for a board game. She has CAD 12 saved. She receives a gift of CAD 10 and decides to put all of it toward the goal. Describe a factor that helps and how much she still needs.

Maya's hypothetical savings

The bars show saved money before and after the gift, and the full goal amount.

Name the goal
Maya’s goal is to save CAD 40 for a board game. She already has CAD 12.
Describe the helpful factor
Receiving a gift and choosing to set it aside helps. It adds money to the amount she has saved for this goal.
$12+10=22$
Find what remains
Compare the goal amount with the new saved amount. Maya still needs CAD 18. The gift helps, but it does not complete the goal.
$40-22=18$

Answer: The gift helps because Maya puts it toward her goal. After setting it aside, she has CAD 22 saved and still needs CAD 18.

Check: The amount saved plus the amount still needed equals the goal: CAD 22 plus CAD 18 is CAD 40.

Worked example

A choice that slows progress

Hypothetical situation: Noah has CAD 30 and wants to save CAD 50 for a sports bag. He had planned to set aside CAD 10, but instead spends CAD 5 on a snack and sets aside only CAD 5. Describe the factor and its effect on the goal.

Amounts for Noah's hypothetical goal

The bars compare the planned amount, the amount actually set aside, and the goal.

Compare the choices
The original plan would put CAD 10 toward the goal. The changed choice puts CAD 5 toward it. Spending the snack money means less is set aside than planned.
$10-5=5$
Describe the effect
The choice hinders progress compared with the original plan because CAD 5 less is added to the goal. This does not mean Noah can never reach the goal. It means this choice moves him forward less than planned.
Connect it to the target
After setting aside CAD 5, Noah has CAD 25 left to save toward the CAD 50 goal. The spending choice explains why the amount still needed is larger than it would have been under the original plan.
$50-5=45$

Answer: Spending CAD 5 instead of setting aside the planned CAD 10 hinders progress. Noah puts CAD 5 toward the goal and still needs CAD 45.

Check: The calculation uses the CAD 5 actually set aside, not the CAD 10 from the plan he changed.

Worked example

A change to the goal

Hypothetical situation: Aisha has saved CAD 24 for a helmet that costs CAD 35. She then decides she wants a different helmet that costs CAD 42. Describe how this change affects her financial goal.

Two hypothetical helmet goals

The chart compares the two goal amounts with Aisha's CAD 24 saved.

Find the original amount needed
With CAD 24 saved and a CAD 35 goal, Aisha still needs CAD 11 for the original helmet.
$35-24=11$
Find the amount needed after the change
The new helmet costs CAD 42. With the same CAD 24 saved, Aisha now needs CAD 18.
$42-24=18$
Explain the factor
Changing to a more costly item raises the target. The change hinders progress toward completing the goal because the amount still needed increases by CAD 7.
$18-11=7$

Answer: Choosing the more costly helmet changes the goal from CAD 35 to CAD 42. Aisha still needs CAD 18, which is CAD 7 more than she needed for the original goal.

Check: The difference between the two prices is CAD 7, matching the increase in the amount still needed.

Common mistakes and how to avoid them

Saying a choice helps or hinders without explaining why.

Correction: Name the effect. For example, say that setting aside a gift adds money to the goal.

Using an amount from an earlier plan after the person changes the plan.

Correction: Use what the person actually sets aside when describing the result.

Treating every purchase as a bad choice.

Correction: Describe how the purchase affects the specific goal. A purchase may be important for another reason.

Adding facts that the situation does not give.

Correction: Use only stated amounts and details. If something is unknown, do not guess.

Lesson summary

A financial goal is something a person plans to do with money.
A factor is something that affects progress toward a goal.
Choices, changes, and events can help or hinder a goal.
Explain the link between the factor and the goal. Use simple calculations only when amounts are given.

Check your understanding

Question 1

Eli wants to save CAD 30 for a book. He has CAD 8 and sets aside a CAD 7 gift for the book. Which statement best describes the gift?

It helps because it adds CAD 7 toward the goal.
It hinders because any gift makes a goal harder.
It completes the goal because CAD 8 plus CAD 7 is CAD 30.
It has no effect because Eli already had some savings.

Show answer and explanation

It helps because it adds CAD 7 toward the goal.

The gift adds to the amount saved. Eli has CAD 15 saved, so the gift helps but does not complete the CAD 30 goal.

Question 2

Lina plans to set aside CAD 9 for a goal but spends CAD 4 of that planned amount. What is the clearest description?

Spending CAD 4 hinders progress compared with setting aside all CAD 9.
Spending CAD 4 helps because spending always reaches a goal.
The goal is complete because CAD 9 was in the plan.
The choice has no effect because CAD 4 is a small amount.

Show answer and explanation

Spending CAD 4 hinders progress compared with setting aside all CAD 9.

Only CAD 5 of the planned CAD 9 remains to be set aside, so the spending choice reduces progress compared with the plan.

Question 3

Which detail is a factor that could hinder a goal to buy a named item?

The person sets aside money for the item.
The person changes the goal to a more costly item.
The person writes the goal down.
The person compares the saved amount with the goal.

Show answer and explanation

The person changes the goal to a more costly item.

A more costly target means more money is needed. The other actions can support or help the person understand the goal.

Key terms

Financial goal: Something a person plans to do with money, such as saving for an item.
Factor: A choice or event that affects what happens.
Hinder: To make progress harder or slower.
Set aside: To keep some money for a particular purpose instead of using it for something else.

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About this lesson and its review

Published by DoAssignment. This reviewed lesson follows Ontario Grade 6 Mathematics, expectation F1.3. It is a study resource, not an official curriculum publication.

Before publication, content is checked for structure, mathematical or chemical notation, calculations, course boundaries, and readability. Errors can still occur, so corrections are welcomed.

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