Grade 6 Math Chapter 55: Financial Goals: Earning and Saving

Chapter Overview

This chapter teaches Financial Goals: Earning and Saving in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.

Key Technical Terms

Financial goals (A financial goal is a money-related target with a purpose, amount, and often a time frame.)
Short-term goals (Short-term goals is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
Long-term goals (Long-term goals is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
Earning money (Earning money is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
Sources of income (Sources of income is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
Saving money (Saving money is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)

How to Learn This Chapter

Read the explanation first, follow each worked example slowly, cover the answer and retry the problem yourself, then use the practice and review questions to check understanding.

55.1 Financial goals

A financial goal is a money-related target with a purpose, amount, and often a time frame. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: A goal requires saving $20 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $120

Worked Example 2

Problem: A goal requires saving $25 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $150

Worked Example 3

Problem: A goal requires saving $30 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $180

Worked Example 4

Problem: A goal requires saving $35 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $210

Worked Example 5

Problem: A goal requires saving $40 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $240

Worked Example 6

Problem: A goal requires saving $45 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $270

Worked Example 7

Problem: A goal requires saving $50 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $300

Worked Example 8

Problem: A goal requires saving $55 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $330

Worked Example 9

Problem: A goal requires saving $60 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $360

Worked Example 10

Problem: A goal requires saving $65 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $390

Practice Exercise

Create one new Grade 6 problem about Financial goals. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is comparing only one number and ignoring fees, timing, limits, or the full context.

55.2 Short-term goals

Short-term goals is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Evaluate 3x + 4 when x = 5.

Replace x with 5.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 19

Worked Example 2

Problem: Evaluate 2n + 7 when n = 6.

Replace n with 6.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 19

Worked Example 3

Problem: Evaluate 5a - 3 when a = 4.

Replace a with 4.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 17

Worked Example 4

Problem: Evaluate 4p + 1 when p = 8.

Replace p with 8.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 33

Worked Example 5

Problem: Evaluate 6m - 5 when m = 3.

Replace m with 3.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 13

Worked Example 6

Problem: Evaluate 2.5x + 1 when x = 4.

Replace x with 4.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 11

Worked Example 7

Problem: Evaluate 7q + 2 when q = 2.

Replace q with 2.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 16

Worked Example 8

Problem: Evaluate 3r - 1 when r = 9.

Replace r with 9.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 26

Worked Example 9

Problem: Evaluate 4y + 6 when y = 5.

Replace y with 5.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 26

Worked Example 10

Problem: Evaluate 8k - 4 when k = 3.

Replace k with 3.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 20

Practice Exercise

Create one new Grade 6 problem about Short-term goals. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.3 Long-term goals

Long-term goals is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Evaluate 3x + 4 when x = 5.

Replace x with 5.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 19

Worked Example 2

Problem: Evaluate 2n + 7 when n = 6.

Replace n with 6.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 19

Worked Example 3

Problem: Evaluate 5a - 3 when a = 4.

Replace a with 4.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 17

Worked Example 4

Problem: Evaluate 4p + 1 when p = 8.

Replace p with 8.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 33

Worked Example 5

Problem: Evaluate 6m - 5 when m = 3.

Replace m with 3.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 13

Worked Example 6

Problem: Evaluate 2.5x + 1 when x = 4.

Replace x with 4.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 11

Worked Example 7

Problem: Evaluate 7q + 2 when q = 2.

Replace q with 2.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 16

Worked Example 8

Problem: Evaluate 3r - 1 when r = 9.

Replace r with 9.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 26

Worked Example 9

Problem: Evaluate 4y + 6 when y = 5.

Replace y with 5.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 26

Worked Example 10

Problem: Evaluate 8k - 4 when k = 3.

Replace k with 3.
Follow order of operations.
Calculate carefully.

Very beginner explanation: Substitution replaces a variable with a known value before calculating.

Answer: 20

Practice Exercise

Create one new Grade 6 problem about Long-term goals. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.4 Earning money

Earning money is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: A goal requires saving $20 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $120

Worked Example 2

Problem: A goal requires saving $25 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $150

Worked Example 3

Problem: A goal requires saving $30 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $180

Worked Example 4

Problem: A goal requires saving $35 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $210

Worked Example 5

Problem: A goal requires saving $40 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $240

Worked Example 6

Problem: A goal requires saving $45 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $270

Worked Example 7

Problem: A goal requires saving $50 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $300

Worked Example 8

Problem: A goal requires saving $55 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $330

Worked Example 9

Problem: A goal requires saving $60 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $360

Worked Example 10

Problem: A goal requires saving $65 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $390

Practice Exercise

Create one new Grade 6 problem about Earning money. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.5 Sources of income

Sources of income is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Income is $500 and expenses are $420. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $80 surplus

Worked Example 2

Problem: Income is $550 and expenses are $455. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $95 surplus

Worked Example 3

Problem: Income is $600 and expenses are $490. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $110 surplus

Worked Example 4

Problem: Income is $650 and expenses are $525. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $125 surplus

Worked Example 5

Problem: Income is $700 and expenses are $560. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $140 surplus

Worked Example 6

Problem: Income is $750 and expenses are $595. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $155 surplus

Worked Example 7

Problem: Income is $800 and expenses are $630. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $170 surplus

Worked Example 8

Problem: Income is $850 and expenses are $665. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $185 surplus

Worked Example 9

Problem: Income is $900 and expenses are $700. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $200 surplus

Worked Example 10

Problem: Income is $950 and expenses are $735. Find the budget balance.

Subtract total expenses from total income.

Very beginner explanation: A positive balance is a surplus; a negative balance is a deficit.

Answer: $215 surplus

Practice Exercise

Create one new Grade 6 problem about Sources of income. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.6 Saving money

Saving money is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: A goal requires saving $20 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $120

Worked Example 2

Problem: A goal requires saving $25 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $150

Worked Example 3

Problem: A goal requires saving $30 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $180

Worked Example 4

Problem: A goal requires saving $35 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $210

Worked Example 5

Problem: A goal requires saving $40 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $240

Worked Example 6

Problem: A goal requires saving $45 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $270

Worked Example 7

Problem: A goal requires saving $50 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $300

Worked Example 8

Problem: A goal requires saving $55 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $330

Worked Example 9

Problem: A goal requires saving $60 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $360

Worked Example 10

Problem: A goal requires saving $65 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $390

Practice Exercise

Create one new Grade 6 problem about Saving money. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.7 Setting a target amount

Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Use Setting a target amount to analyze the values 16 and 18. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 2

Problem: Use Setting a target amount to analyze the values 27 and 4. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 3

Problem: Use Setting a target amount to analyze the values 7 and 18. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 4

Problem: Use Setting a target amount to analyze the values 14 and 19. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 5

Problem: Use Setting a target amount to analyze the values 7 and 16. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 6

Problem: Use Setting a target amount to analyze the values 14 and 19. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 7

Problem: Use Setting a target amount to analyze the values 3 and 7. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 8

Problem: Use Setting a target amount to analyze the values 21 and 12. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 9

Problem: Use Setting a target amount to analyze the values 13 and 19. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 10

Problem: Use Setting a target amount to analyze the values 4 and 8. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Practice Exercise

Create one new Grade 6 problem about Setting a target amount. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.8 Setting a target date

Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Use Setting a target date to analyze the values 6 and 20. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 2

Problem: Use Setting a target date to analyze the values 14 and 19. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 3

Problem: Use Setting a target date to analyze the values 4 and 19. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 4

Problem: Use Setting a target date to analyze the values 11 and 20. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 5

Problem: Use Setting a target date to analyze the values 20 and 18. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 6

Problem: Use Setting a target date to analyze the values 27 and 18. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 7

Problem: Use Setting a target date to analyze the values 13 and 4. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 8

Problem: Use Setting a target date to analyze the values 8 and 14. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 9

Problem: Use Setting a target date to analyze the values 6 and 19. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 10

Problem: Use Setting a target date to analyze the values 29 and 20. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Practice Exercise

Create one new Grade 6 problem about Setting a target date. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.9 Factors that affect a goal

A factor is a whole number that divides another whole number exactly. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: List all positive factors of 25.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 5, 25

Worked Example 2

Problem: List all positive factors of 43.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 43

Worked Example 3

Problem: List all positive factors of 23.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 23

Worked Example 4

Problem: List all positive factors of 81.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 3, 9, 27, 81

Worked Example 5

Problem: List all positive factors of 23.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 23

Worked Example 6

Problem: List all positive factors of 50.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 2, 5, 10, 25, 50

Worked Example 7

Problem: List all positive factors of 70.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 2, 5, 7, 10, 14, 35, 70

Worked Example 8

Problem: List all positive factors of 83.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 83

Worked Example 9

Problem: List all positive factors of 32.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 2, 4, 8, 16, 32

Worked Example 10

Problem: List all positive factors of 24.

Test whole numbers that divide exactly.
Pair factors when their product equals the number.

Very beginner explanation: Factors divide a number with no remainder.

Answer: 1, 2, 3, 4, 6, 8, 12, 24

Practice Exercise

Create one new Grade 6 problem about Factors that affect a goal. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.10 Breaking a goal into steps

Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Use Breaking a goal into steps to analyze the values 5 and 7. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 2

Problem: Use Breaking a goal into steps to analyze the values 13 and 4. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 3

Problem: Use Breaking a goal into steps to analyze the values 29 and 16. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 4

Problem: Use Breaking a goal into steps to analyze the values 16 and 3. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 5

Problem: Use Breaking a goal into steps to analyze the values 23 and 4. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 6

Problem: Use Breaking a goal into steps to analyze the values 11 and 8. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 7

Problem: Use Breaking a goal into steps to analyze the values 29 and 9. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 8

Problem: Use Breaking a goal into steps to analyze the values 9 and 10. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 9

Problem: Use Breaking a goal into steps to analyze the values 11 and 19. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 10

Problem: Use Breaking a goal into steps to analyze the values 23 and 20. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Practice Exercise

Create one new Grade 6 problem about Breaking a goal into steps. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.11 Tracking progress

Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Use Tracking progress to analyze the values 7 and 13. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 2

Problem: Use Tracking progress to analyze the values 9 and 20. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 3

Problem: Use Tracking progress to analyze the values 17 and 15. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 4

Problem: Use Tracking progress to analyze the values 14 and 17. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 5

Problem: Use Tracking progress to analyze the values 17 and 9. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 6

Problem: Use Tracking progress to analyze the values 14 and 16. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 7

Problem: Use Tracking progress to analyze the values 3 and 13. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 8

Problem: Use Tracking progress to analyze the values 15 and 4. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 9

Problem: Use Tracking progress to analyze the values 27 and 5. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Worked Example 10

Problem: Use Tracking progress to analyze the values 7 and 7. What should be checked first?

Identify what each value represents.
Choose the rule, representation, or comparison that matches the topic.
Show the reasoning before accepting the result.

Very beginner explanation: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Answer: Check the meaning of the values and the rule required by the problem.

Practice Exercise

Create one new Grade 6 problem about Tracking progress. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.

55.12 Adjusting a financial goal

A financial goal is a money-related target with a purpose, amount, and often a time frame. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.

Beginner Note

Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: A goal requires saving $20 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $120

Worked Example 2

Problem: A goal requires saving $25 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $150

Worked Example 3

Problem: A goal requires saving $30 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $180

Worked Example 4

Problem: A goal requires saving $35 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $210

Worked Example 5

Problem: A goal requires saving $40 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $240

Worked Example 6

Problem: A goal requires saving $45 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $270

Worked Example 7

Problem: A goal requires saving $50 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $300

Worked Example 8

Problem: A goal requires saving $55 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $330

Worked Example 9

Problem: A goal requires saving $60 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $360

Worked Example 10

Problem: A goal requires saving $65 each month for 6 months. How much will be saved?

Multiply monthly saving by number of months.

Very beginner explanation: Breaking a goal into regular steps makes progress easier to plan and track.

Answer: $390

Practice Exercise

Create one new Grade 6 problem about Adjusting a financial goal. Solve it step by step, label any units, and explain how you checked your answer.

Common Mistake

A common mistake is comparing only one number and ignoring fees, timing, limits, or the full context.

30 Review Questions and Answers

Q1. What is important to understand about Financial goals?

Answer: A financial goal is a money-related target with a purpose, amount, and often a time frame.

Q2. What is important to understand about Short-term goals?

Answer: Short-term goals is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q3. What is important to understand about Long-term goals?

Answer: Long-term goals is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q4. What is important to understand about Earning money?

Answer: Earning money is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q5. What is important to understand about Sources of income?

Answer: Sources of income is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q6. What is important to understand about Saving money?

Answer: Saving money is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q7. What is important to understand about Setting a target amount?

Answer: Setting a target amount is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q8. What is important to understand about Setting a target date?

Answer: Setting a target date is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q9. What is important to understand about Factors that affect a goal?

Answer: A factor is a whole number that divides another whole number exactly.

Q10. What is important to understand about Breaking a goal into steps?

Answer: Breaking a goal into steps is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q11. What is important to understand about Tracking progress?

Answer: Tracking progress is a Grade 6 mathematics idea in Financial Goals: Earning and Saving. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.

Q12. What is important to understand about Adjusting a financial goal?

Answer: A financial goal is a money-related target with a purpose, amount, and often a time frame.

Q13. Why should you show your steps?

Answer: Showing steps makes reasoning easier to verify and helps locate mistakes.

Q14. Why is estimation useful?

Answer: Estimation helps you judge whether a final answer is reasonable before accepting it.

Q15. Why do units matter?

Answer: Units tell what a value measures and help prevent incompatible quantities from being mixed.

Q16. When should you round?

Answer: Usually round near the end unless the question specifically asks for earlier rounding.

Q17. How can you check an answer?

Answer: Use an inverse operation, substitution, estimation, a graph, a table, or a second method.

Q18. What should you identify first in a word problem?

Answer: Identify what is known, what is unknown, and the relationship connecting them.

Q19. What makes a final answer complete?

Answer: Give the value, correct units when needed, and a brief interpretation in context.

Q20. What should you do if an answer seems unreasonable?

Answer: Re-read the question and check copied values, operations, signs, units, rules, and calculations.

Q21. Why are diagrams useful?

Answer: A labelled diagram can reveal relationships that are harder to see in words alone.

Q22. Why are tables useful?

Answer: Tables organize values so patterns, rates, comparisons, and missing information are easier to see.

Q23. Why are graphs useful?

Answer: Graphs make relationships, changes, trends, and comparisons visible.

Q24. Why should you explain your reasoning?

Answer: An explanation shows why a method works instead of only giving a final number.

Q25. Why can more than one strategy be correct?

Answer: Different correct strategies can represent the same mathematics in different but equivalent ways.

Q26. What should you do before using a formula or rule?

Answer: Check what each quantity means and whether the rule matches the situation.

Q27. How does practice help in mathematics?

Answer: Practice builds accuracy and fluency while helping you recognize which strategies fit different problems.

Q28. What is a good way to learn from a mistake?

Answer: Find the exact step where the reasoning changed from correct to incorrect, then solve a similar problem again.

Q29. Why should you compare an exact answer with an estimate?

Answer: The estimate gives a quick reasonableness check for the exact calculation.

Q30. What does representing mathematics mean?

Answer: It means showing an idea with numbers, symbols, words, diagrams, tables, graphs, or models.