Students learn to bridge the gap between reading a word problem and solving it by using cloze paragraphs to structure their mathematical thinking and identifying key operational vocabulary.
A cumulative review and performance task where students apply all fraction concepts to complete a master architectural blueprint.
Understanding multiplication of a fraction by a whole number as repeated addition of unit fractions.
Solving real-world word problems involving addition and subtraction of fractions with like denominators.
Working with fractions greater than 1, converting between improper fractions and mixed numbers using visual 'towers'.
Subtracting fractions with the same denominator, focusing on the 'taking away' and 'difference' meanings of subtraction.
Introduction to joining parts with the same denominator using tape diagrams and number lines.
Comparing fractions with different numerators and denominators by finding common ground or using benchmark reasoning.
Using 0, 1/2, and 1 as benchmarks on a number line to estimate and reason about fraction size.
Moving from visual models to the multiplicative identity property (n/n) to generate equivalent fractions systematically.
Using area models to visualize how partitioning a whole into smaller pieces creates equivalent fractions without changing the total amount.