FAST Math Grade 5 study materials
FAST Math Grade 5 study resources

FAST Math Grade 5 study plan

FAST Math Grade 5 · Give each week a clear focus.

8 weeks · About 7 hours per week

Week 1

Number Sense and Operations with Whole Numbers, Fractions, and Decimals

  • Read and write multi-digit whole numbers through the millions in standard, expanded, and word form, and round them to any place value on 20 mixed practice items.

  • Fluently apply the standard algorithms for multi-digit addition, subtraction, and multiplication (up to 3-digit by 2-digit) on 25 timed items with at least 90% accuracy.

  • Solve whole-number division problems with 4-digit dividends and 2-digit divisors, interpreting remainders in context, on 10 word problems.

  • Build a personal error log that records the mistake type (place value, regrouping, fact recall, misread) for every item missed this week.

Your checkpoint

A completed 40-item whole-number computation and rounding quiz scored and corrected, with the error log showing at least 5 categorized mistakes and a corrected re-do of each.

Week 2

Number Sense and Operations with Whole Numbers, Fractions, and Decimals & Fractions and Operations with Fractions

  • Convert between decimals, fractions, and percents for tenths and hundredths, and compare and order decimals to the thousandths place on 20 items.

  • Add, subtract, multiply, and divide decimals to the hundredths place, aligning place value and placing the decimal point correctly, on 25 items.

  • Generate equivalent fractions and simplify fractions to lowest terms on 20 items.

  • Identify common misconceptions in your own decimal work (for example, treating 0.4 as smaller than 0.15) and write a one-line rule to prevent each.

Your checkpoint

A two-column reference sheet of decimal and fraction rules you wrote yourself, plus a 30-item mixed decimal/fraction quiz scored at 85% or higher.

Week 3

Fractions and Operations with Fractions

  • Add and subtract fractions and mixed numbers with unlike denominators, including regrouping when borrowing, on 20 items.

  • Multiply a fraction by a whole number and by another fraction, using area models to justify at least 5 answers.

  • Divide a unit fraction by a whole number and a whole number by a unit fraction, and explain the result with a story context for 5 problems.

  • Solve 8 multi-step fraction word problems by first writing the operation(s) needed, then computing.

Your checkpoint

A fully worked 25-item fraction operations test (all four operations) with model drawings attached for at least 6 items and a score of 80% or better.

Week 4

Fractions and Operations with Fractions & Algebraic Thinking and Expressions

  • Translate between verbal descriptions and algebraic expressions using variables, identifying operation keywords on 15 items.

  • Evaluate expressions with variables and apply order of operations (parentheses, brackets, exponents) on 15 items.

  • Write simple equations from one-step word problems and solve for the unknown on 10 problems.

  • Connect fraction reasoning to expressions by writing and evaluating expressions such as one-half of a number.

Your checkpoint

A mid-plan checkpoint quiz of 30 items covering decimals, fraction operations, and expression writing, scored and analyzed with a list of the two weakest skills to target in weeks 5-6.

Milestones

Week 4: Score at least 75% on the 30-item cumulative checkpoint covering Domains 1, 2, and 3, and name the two specific skills that produced the most missed items.

Week 6: Score at least 80% on a 20-item geometry and measurement quiz and correctly classify at least 15 of 20 figures by their properties.

Week 8: Score at least 80% on a full-length timed practice test spanning all six domains, with no domain below 70%.