Skip to the main content
Start free
RodriMath
Start free

Kindergarten to Grade 5 · Grade 5

Grade 5 mathematics.

Fractions with unlike denominators, decimals, volume, the coordinate plane.

108 skills · 133 lessons · 6 modules

Families, start freeTeachers, one class free

Placed by what they can do, not their year · Mapped to Florida B.E.S.T. and Common Core · 30 days free, no card · What it costs

Grade 5 · 6 modules, in order
  1. Tenths, Hundredths and Thousandths3 chapters
  2. Long Multiplication and Two-Digit Divisors3 chapters
  3. Fractions with Unlike Units2 chapters
  4. Scaling, Sharing and Fractions of Fractions5 chapters
  5. Filling Boxes, Tiling Rectangles, Sorting Shapes4 chapters
  6. Plotting Points and Following Rules4 chapters

The year, in order

What Grade 5 covers, module by module.

Lessons move from objects to pictures to symbols. Open a module to see them.

  1. Module 1

    Tenths, Hundredths and Thousandths

    Tenths, Hundredths and Thousandths: 3 chapters · 17 lessons

    The chart carried to thousandths, exponents naming its steps, and the four operations applied to decimals.

    1. The chart, to thousandths4 lessons
      1. Ten times, and one tenth
      2. Without the chart
      3. Exponents name the places
      4. The metric ladder is powers of ten

      Florida B.E.S.T.: MA.5.NSO.1.1 · MA.5.NSO.2.5 · MA.5.M.1.1

      Common Core: 5.NBT.A.1 · 5.NBT.A.2 · 5.MD.A.1

    2. Naming and comparing decimals4 lessons
      1. Naming thousandths
      2. Comparing to thousandths
      3. Rounding on the line
      4. Rounding to any place

      Florida B.E.S.T.: MA.5.NSO.1.2 · MA.5.NSO.1.3 · MA.5.NSO.1.4 · MA.5.NSO.1.5

      Common Core: 5.NBT.A.3 · 5.NBT.A.4

    3. The four operations on decimals9 lessons
      1. Adding decimals
      2. Subtracting decimals
      3. A decimal times a whole number
      4. The estimate places the point
      5. Dividing a decimal, no remainder
      6. When a unit will not share
      7. A remainder in the smallest unit
      8. Decimal problems
      9. Money, two steps at a time

      Florida B.E.S.T.: MA.5.NSO.1.5 · MA.5.NSO.2.3 · MA.5.NSO.2.4 · MA.5.M.2.1

      Common Core: 5.NBT.B.7 · 5.NBT.A.4 · 4.MD.A.2

  2. Module 2

    Long Multiplication and Two-Digit Divisors

    Long Multiplication and Two-Digit Divisors: 3 chapters · 24 lessons

    The standard multiplication algorithm at three digits by two, and division by a two-digit divisor — where every step begins as an estimate.

    1. Multiplying in the head5 lessons
      1. Multiplying multiples of ten
      2. Estimating a product
      3. Writing an expression
      4. Comparing without working out
      5. Multiplying in unit form

      Florida B.E.S.T.: MA.4.NSO.2.5 · MA.5.NSO.2.1 · MA.5.AR.2.1 · MA.5.AR.2.3

      Common Core: 5.NBT.A.2 · 5.NBT.B.5 · 4.NBT.A.3 · 5.OA.A.2 · 5.OA.A.1

    2. The standard algorithm10 lessons
      1. Partial products, no renaming
      2. Partial products with renaming
      3. The standard algorithm
      4. Multiplication problems
      5. A decimal times a big number
      6. Make it whole, then put it back
      7. Products with hundredths
      8. The same measure, another unit
      9. Converting the other way
      10. Convert, then solve

      Florida B.E.S.T.: MA.5.NSO.1.1 · MA.5.NSO.2.1 · MA.5.NSO.2.4 · MA.5.AR.1.1 · MA.5.M.1.1

      Common Core: 5.NBT.B.5 · 5.OA.A.2 · 5.NBT.B.7 · 5.NBT.A.1 · 5.MD.A.1

    3. Dividing by two digits9 lessons
      1. Dividing by ten
      2. Estimating a quotient
      3. Dividing by multiples of ten
      4. A two-digit divisor
      5. Larger dividends
      6. A decimal divided by tens
      7. Estimating a decimal quotient
      8. Dividing decimals by two digits
      9. Which division is it

      Florida B.E.S.T.: MA.4.NSO.2.5 · MA.5.NSO.1.1 · MA.5.NSO.2.2 · MA.5.NSO.2.4 · MA.5.AR.1.1

      Common Core: 5.NBT.A.2 · 5.NBT.B.6 · 4.NBT.A.3 · 5.NBT.B.7 · 5.OA.A.2

  3. Module 3

    Fractions with Unlike Units

    Fractions with Unlike Units: 2 chapters · 16 lessons

    Unlike units, where both fractions have to be renamed rather than one, and a benchmark check on every answer.

    1. Making the units match7 lessons
      1. Equivalent, three ways
      2. Equivalent as a sum
      3. Adding unlike units
      4. Sums past one
      5. Subtracting unlike units
      6. Subtracting from a mixed number
      7. Two-step fraction problems

      Florida B.E.S.T.: MA.4.FR.1.3 · MA.4.FR.2.1 · MA.5.FR.2.1 · MA.5.AR.1.2

      Common Core: 5.NF.A.1 · 4.NF.B.3b · 5.NF.A.2

    2. The same, in numbers9 lessons
      1. Fractions and whole numbers
      2. Adding without a picture
      3. Sums greater than two
      4. Subtracting without a picture
      5. Subtracting from more than one
      6. Is that answer sensible
      7. Three or more fractions at once
      8. Multi-step fraction problems
      9. Working back to the whole

      Florida B.E.S.T.: MA.5.FR.2.1 · MA.5.AR.1.2 · MA.5.AR.2.2

      Common Core: 5.NF.A.1 · 5.NF.A.2 · 5.OA.A.1

  4. Module 4

    Scaling, Sharing and Fractions of Fractions

    Scaling, Sharing and Fractions of Fractions: 5 chapters · 26 lessons

    A fraction read as a division, a fraction of a fraction, and the year’s one idea: a product can be smaller than what you started with.

    1. A fraction is a division4 lessons
      1. Measuring to the eighth
      2. The line means divide
      3. Division on a tape
      4. When the answer is a fraction

      Florida B.E.S.T.: MA.4.M.1.1 · MA.4.DP.1.3 · MA.5.NSO.2.2 · MA.5.FR.1.1 · MA.5.DP.1.1

      Common Core: 5.MD.B.2 · 5.NF.B.3

    2. A fraction of something6 lessons
      1. A fraction of a set
      2. A whole number times a fraction
      3. A fraction of a set, added up
      4. A fraction of a measurement
      5. What the brackets change
      6. Fraction stories

      Florida B.E.S.T.: MA.4.FR.2.4 · MA.5.FR.1.1 · MA.5.FR.2.2 · MA.5.AR.1.2 · MA.5.AR.2.1 · MA.5.AR.2.2 · MA.5.M.1.1

      Common Core: 5.NF.B.4 · 5.NF.B.6 · 5.MD.A.1 · 5.OA.A.1 · 5.OA.A.2

    3. A fraction of a fraction7 lessons
      1. A unit fraction of a unit fraction
      2. A unit fraction of a bigger part
      3. A fraction of a fraction
      4. Fraction problems on a tape
      5. Decimals are fractions
      6. Converting with fractions
      7. Mixed unit measures

      Florida B.E.S.T.: MA.5.NSO.2.4 · MA.5.FR.2.2 · MA.5.AR.1.2 · MA.5.M.1.1

      Common Core: 5.NF.B.4 · 5.NF.B.6 · 5.NBT.B.7 · 5.MD.A.1

    4. Multiplying as scaling3 lessons
      1. Multiplying by one, and near one
      2. Bigger or smaller than you started
      3. Scaling in a story

      Florida B.E.S.T.: MA.5.FR.2.3 · MA.5.AR.1.2

      Common Core: 5.NF.B.5 · 5.NF.B.6

    5. Dividing with fractions6 lessons
      1. A whole number divided by a unit fraction
      2. A unit fraction divided by a whole number
      3. Which division is this
      4. Writing the equation for a diagram
      5. Dividing by a tenth
      6. Dividing by a decimal

      Florida B.E.S.T.: MA.5.NSO.2.4 · MA.5.NSO.2.5 · MA.5.FR.2.4 · MA.5.AR.1.3 · MA.5.AR.2.4

      Common Core: 5.NF.B.7 · 5.OA.A.2 · 5.NBT.B.7

  5. Module 5

    Filling Boxes, Tiling Rectangles, Sorting Shapes

    Filling Boxes, Tiling Rectangles, Sorting Shapes: 4 chapters · 20 lessons

    Volume as layers rather than as a surface, area with fractional sides, and the quadrilateral hierarchy.

    1. What volume is3 lessons
      1. Counting unit cubes
      2. Packing a prism
      3. Reading it as layers

      Florida B.E.S.T.: MA.5.GR.3.1 · MA.5.GR.3.2

      Common Core: 5.MD.C.3 · 5.MD.C.4 · 5.MD.C.5

    2. Volume as a multiplication5 lessons
      1. The volume formula
      2. Packing and filling
      3. Two prisms joined
      4. Volume problems
      5. Designing to a volume

      Florida B.E.S.T.: MA.5.GR.3.2 · MA.5.GR.3.3

      Common Core: 5.MD.C.5 · 5.MD.A.1

    3. Area with fractional sides5 lessons
      1. A side that is not a whole
      2. Both sides fractional
      3. Measure it, then find the area
      4. Multiplying mixed numbers
      5. Area problems with fractions

      Florida B.E.S.T.: MA.4.M.1.1 · MA.5.FR.2.2 · MA.5.AR.1.2 · MA.5.GR.2.1

      Common Core: 5.NF.B.4 · 5.NF.B.6

    4. The hierarchy of shapes7 lessons
      1. Drawing trapezoids
      2. Drawing parallelograms
      3. Rectangles and rhombuses
      4. Kites and squares
      5. The hierarchy
      6. Drawing from attributes
      7. Prisms, pyramids and the rest

      Florida B.E.S.T.: MA.3.GR.1.2 · MA.5.GR.1.1 · MA.5.GR.1.2

      Common Core: 5.G.B.3 · 5.G.B.4 · 1.G.A.1 · K.G.B.4

  6. Module 6

    Plotting Points and Following Rules

    Plotting Points and Following Rules: 4 chapters · 21 lessons

    Two perpendicular number lines, points named in order, and the lines that rules draw on them.

    1. Building the plane5 lessons
      1. A coordinate system on a line
      2. A coordinate system on a plane
      3. Naming a point
      4. Plotting a point
      5. Lines and distances

      Florida B.E.S.T.: MA.5.GR.4.1 · MA.5.GR.4.2

      Common Core: 5.G.A.1 · 5.G.A.2 · 5.OA.B.3

    2. Rules that draw lines6 lessons
      1. Points that make a line
      2. Generating a pattern from a rule
      3. Two patterns at once
      4. Adding rules and times rules
      5. Rules with two operations
      6. Making the rule yourself

      Florida B.E.S.T.: MA.5.AR.3.1 · MA.5.AR.3.2 · MA.5.GR.4.1

      Common Core: 5.OA.B.3 · 5.G.A.1 · 5.OA.A.2

    3. Drawing on the plane8 lessons
      1. Parallel segments on a grid
      2. Parallel, in the coordinates
      3. Perpendicular segments on a grid
      4. Perpendicular, in the coordinates
      5. Symmetry by distance
      6. Symmetry on the plane
      7. Reading a line graph
      8. Real problems on the plane

      Florida B.E.S.T.: MA.3.GR.1.1 · MA.3.GR.1.3 · MA.5.GR.4.1 · MA.5.GR.4.2 · MA.5.DP.1.1

      Common Core: 4.G.A.1 · 5.G.A.1 · 4.G.A.3 · 5.G.A.2

    4. Describing data2 lessons
      1. The mean as a fair share
      2. Mean, median, mode and range

      Florida B.E.S.T.: MA.5.DP.1.2

      Common Core: 5.NF.B.3 · 5.MD.B.2

  7. Arranged by topic

    More Grade 5 lessons

    More Grade 5 lessons: 5 chapters · 9 lessons

    These start in Grade 5 but sit in the workbook by topic, not in a module. One marked with a later year carries on into it.

    1. Decimals2 lessons
      1. Multiplying and dividing by ten
      2. Adding and subtracting decimals

      Florida B.E.S.T.: MA.5.NSO.1.1 · MA.5.NSO.2.3 · MA.5.NSO.2.5

      Common Core: 5.NBT.A.2 · 5.NBT.B.7

    2. Expressions1 lesson
      1. Order of operations

      Florida B.E.S.T.: MA.5.AR.2.2

      Common Core: 5.OA.A.1

    3. Calculating with fractions3 lessons
      1. Adding fractions with different denominators
      2. Multiplying fractions
      3. Dividing with unit fractions

      Florida B.E.S.T.: MA.5.FR.2.1 · MA.5.FR.2.2 · MA.5.FR.2.3 · MA.5.FR.2.4

      Common Core: 5.NF.A.1 · 5.NF.B.4 · 5.NF.B.7

    4. Area, perimeter and volume2 lessons
      1. Volume by counting cubes
      2. Volume by multiplying

      Florida B.E.S.T.: MA.5.GR.3.1 · MA.5.GR.3.2

      Common Core: 5.MD.C.3 · 5.MD.C.4 · 5.MD.C.5

    5. Angles and position1 lesson
      1. The coordinate plane

      Florida B.E.S.T.: MA.5.GR.4.1 · MA.5.GR.4.2

      Common Core: 5.G.A.1 · 5.G.A.2

Florida B.E.S.T. benchmarks: Florida's B.E.S.T. Standards for Mathematics are published by the Florida Department of Education. RodriMath is not affiliated with, endorsed by, or sponsored by the Florida Department of Education or the State of Florida.

Common Core State Standards codes: © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. RodriMath is not affiliated with, endorsed by, or sponsored by either organisation.

The other years

Six years, one connected map.