Solving Problems with Fractions and Decimals
Students will solve problems involving fractions and decimals, applying their understanding of equivalence and operations.
Key Questions
- Design a word problem that requires both fraction and decimal understanding to solve.
- Analyze how converting between fractions and decimals can simplify problem-solving.
- Evaluate the most efficient method to solve a problem involving 1/4 and 0.25.
National Curriculum Attainment Targets
Suggested Methodologies
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Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Parts of the Whole: Fractions and Decimals
Understanding Unit and Non-Unit Fractions
Students will identify and represent unit and non-unit fractions, including fractions greater than one.
2 methodologies
Equivalent Fractions on Number Lines
Students will use number lines and diagrams to identify and generate equivalent fractions.
2 methodologies
Adding and Subtracting Fractions
Students will add and subtract fractions with the same denominator, including those greater than one.
2 methodologies
Fractions of Quantities
Students will find fractions of amounts, linking this to division and multiplication.
2 methodologies
Decimal Tenths and Hundredths
Students will understand decimals as an extension of the place value system, representing tenths and hundredths.
2 methodologies