5th graders subtract fractions and mixed numbers with unlike denominators using equivalent fractions and models. Students rename when needed, estimate with benchmarks, and solve word problems using clear unit reasoning and precise explanations.

5th graders add fractions with unlike denominators using models and equivalent fractions to find common units, simplify results, and explain reasoning clearly.

5th graders learn to use parentheses, brackets, and braces to write and interpret numerical expressions. Students translate between word statements and equations, analyze structure without computing, and explain how grouping symbols change meaning with precision and reasoning.

5th graders divide decimals by whole numbers and other decimals using models, place-value reasoning, and estimation. Students connect visual strategies to written algorithms, scale by powers of ten for efficiency, and justify decimal placement with precise, real-world explanations.

5th graders multiply decimals by whole numbers and other decimals using area models, arrays, and algorithms. Students estimate to predict product size, justify decimal placement with place-value reasoning, and solve real-world problems with precision and clear mathematical communication.

5th graders divide multi-digit numbers using area and partial-quotients models before mastering the standard algorithm. Students estimate, align place values, interpret remainders in context, and explain reasoning with precision and real-world problem-solving clarity.

5th graders master multi-digit multiplication using the standard algorithm, supported by area and partial-products models. Students align place values, estimate for reasonableness, and solve multi-step real-world problems with precision, structure, and clear mathematical communication.

5th graders add and subtract decimals to hundredths using models, estimation, and real-world problems. Students connect visual strategies to standard algorithms, align decimals precisely, check with inverses, and explain reasoning for accuracy and reasonableness.

5th graders build deep decimal understanding through reading, writing, comparing, and rounding to thousandths. Students use place-value charts, number lines, and models to justify reasoning, explain magnitude, and choose appropriate precision in real-world contexts.

5th graders explore digit shifts when multiplying or dividing by powers of ten, using place-value reasoning and exponent notation (10ⁿ). Students model patterns, correct misconceptions like “add a zero,” and explain results with precision across whole and decimal numbers.

5th graders build a collaborative math community while mastering place value, estimation, and self-checking routines. Students explore digit shifts by powers of ten, justify reasonableness, and engage in rich discourse that strengthens accuracy, confidence, and mathematical communication.