Free Grade 3 Working with Introducing Adding Decimals Common Errors: Visual Models Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Adding Decimals Common Errors: Visual Models: 12 real questions with a full answer key and worked solutions. Decimals extend place value past the ones: tenths, hundredths, thousandths. Line up decimal points when adding or subtracting.
Free
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing adding decimals common errors: visual models
Identify working with introducing adding decimals common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing adding decimals common errors: visual models
Explain working with introducing adding decimals common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing adding decimals common errors: visual models
Calculate working with introducing adding decimals common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing adding decimals common errors: visual models
Compare working with introducing adding decimals common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Introducing Adding Decimals Common Errors: Visual Models works
Decimals extend place value past the ones: tenths, hundredths, thousandths. Line up decimal points when adding or subtracting.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.89.1 − 62.8 = ?[1]
- 2.75.5 − 61.8 = ?[1]
- 3.31 − 1.2 = ?[1]
- 4.26.5 − 6.3 = ?[1]
- 5.4.47 + 9.09 = ?[2]
- 6.6.54 − 1.29 = ?[2]
- 7.7.29 − 5.95 = ?[2]
- 8.5.76 − 3.45 = ?[2]
- 9.0.107 × 5 = ?[3]
- 10.0.291 × 2 = ?[3]
- 11.0.768 × 6 = ?[3]
- 12.0.319 × 8 = ?[3]
Show answers and working
1. 26.3
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 26.3.
2. 13.7
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 13.7.
3. 29.8
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 29.8.
4. 20.2
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 20.2.
5. 13.56
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 13.56.
6. 5.25
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 5.25.
7. 1.34
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 1.34.
8. 2.31
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 2.31.
9. 0.535
Ignore the decimal: 107 × 5 = 535. Put back 3 decimal places: 0.535.
10. 0.582
Ignore the decimal: 291 × 2 = 582. Put back 3 decimal places: 0.582.
11. 4.608
Ignore the decimal: 768 × 6 = 4608. Put back 3 decimal places: 4.608.
12. 2.552
Ignore the decimal: 319 × 8 = 2552. Put back 3 decimal places: 2.552.
Worked examples
46.4 − 38.4 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Subtract as whole numbers: 8.
- Answer: 8
8.88 − 8.78 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Subtract as whole numbers: 0.1.
- Answer: 0.1
0.147 × 7 = ?
- Ignore the decimal: 147 × 7 = 1029.
- Put back 3 decimal places: 1.029.
- Answer: 1.029
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Thinks 0.25 is bigger than 0.3 because 25 > 3.
Correction: Fill with zeros: 0.25 vs 0.30.
Lines up the last digits instead of the decimal points.
Correction: Decimal points go in one straight column.
Teacher tips
- · Use money to make tenths and hundredths concrete.
Parent tips
- · Add up prices with cents together.
Real-life applications
- · Money, measurements, race times.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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