Grade 3 mathematics.

1. Module 1

   Equal Groups, Multiplying and Sharing

   Equal Groups, Multiplying and Sharing: 5 chapters · 21 lessons

   Groups of the same size are written as a multiplication, sharing is read as a factor still to find, and a factor can be broken into parts.

   1. What multiplication means3 lessons

      1. Equal groups, written short
      2. The array
      3. What each number counts

      Florida B.E.S.T.: MA.3.NSO.2.2

      Common Core: 3.OA.A.1 · 3.OA.A.3

   2. What division means3 lessons

      1. How many in each
      2. How many groups
      3. Division is a missing factor

      Florida B.E.S.T.: MA.3.NSO.2.2 · MA.3.AR.1.2 · MA.3.AR.2.1 · MA.3.AR.2.3

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

   3. Units of two and three7 lessons

      1. Turn the array
      2. Twos and threes
      3. One more group
      4. Splitting an array
      5. Drawing a division
      6. What the answer counts
      7. Dividing by two and three

      Florida B.E.S.T.: MA.3.NSO.2.2 · MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.1.2

      Common Core: 3.OA.B.5 · 3.OA.C.7 · 3.OA.A.2 · 3.OA.A.3

   4. Units of four4 lessons

      1. Counting the jumps
      2. Fours
      3. From array to tape
      4. Four facts from one array

      Florida B.E.S.T.: MA.3.NSO.2.2 · MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.1.2 · MA.3.AR.2.1

      Common Core: 3.OA.C.7 · 3.OA.A.1 · 3.OA.B.5 · 3.OA.A.3 · 3.OA.A.4 · 3.OA.B.6

   5. Choosing a split, and two-step problems4 lessons

      1. Choosing a helpful split
      2. Two steps
      3. Could that be right?
      4. Two steps, any operation

      Florida B.E.S.T.: MA.3.NSO.1.4 · MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.1.2

      Common Core: 3.OA.B.5 · 3.OA.C.7 · 3.OA.D.8 · 3.OA.A.3

2. Module 2

   Minutes, Grams, Litres and Rounding

   Minutes, Grams, Litres and Rounding: 5 chapters · 21 lessons

   Clocks read to the minute, masses weighed and liquids poured, numbers rounded on an upright line, and column adding and taking away used on real measures.

   1. Time to the minute3 lessons

      1. The clock is a number line
      2. To the nearest minute
      3. How long it took

      Florida B.E.S.T.: MA.3.M.2.1 · MA.3.M.2.2

      Common Core: 3.MD.A.1

   2. Mass and liquid volume6 lessons

      1. Grams and kilograms
      2. Estimating a mass
      3. Problems about mass
      4. Litres and millilitres
      5. Reading a scale
      6. Mixed measure problems

      Florida B.E.S.T.: MA.3.M.1.1 · MA.3.M.1.2 · MA.4.M.1.2

      Common Core: 3.MD.A.2 · 4.MD.A.1 · 3.OA.D.8

   3. Numbers to ten thousand2 lessons

      1. Numbers to ten thousand
      2. Four digits, more than one way

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

      Common Core: 4.NBT.A.2 · 2.NBT.A.3 · 2.NBT.A.1 · 4.NBT.A.1

   4. Rounding3 lessons

      1. The line stood up
      2. To the nearest ten
      3. To the nearest hundred

      Florida B.E.S.T.: MA.2.NSO.1.4 · MA.3.NSO.1.3 · MA.3.NSO.1.4

      Common Core: 3.NBT.A.1

   5. The written methods, and estimating7 lessons

      1. Making one new unit
      2. Making two new units
      3. Estimating a total
      4. Breaking one unit
      5. Breaking across a zero
      6. Estimating a difference
      7. Estimate, then solve

      Florida B.E.S.T.: MA.3.NSO.1.4 · MA.3.NSO.2.1 · MA.3.M.1.2

      Common Core: 3.NBT.A.2 · 3.NBT.A.1 · 3.OA.D.8

3. Module 3

   The Harder Facts, Zero, One and Tens

   The Harder Facts, Zero, One and Tens: 5 chapters · 19 lessons

   The sixes to nines reached from facts already known, what zero and one do, and multiplying by a tens number.

   1. Reaching the hard facts3 lessons

      1. From a fact you already have
      2. Five groups and one more
      3. A letter for the number

      Florida B.E.S.T.: MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.2.3 · MA.4.AR.2.2

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

   2. Units of six and seven5 lessons

      1. Sixes
      2. Sevens
      3. Breaking sixes and sevens
      4. The unknown anywhere
      5. True with times and divide

      Florida B.E.S.T.: MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.2.2 · MA.3.AR.2.3

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

   3. Brackets and the properties3 lessons

      1. What the brackets say
      2. Moving the brackets
      3. Splitting to divide

      Florida B.E.S.T.: MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.1.2 · MA.5.AR.2.2

      Common Core: 3.OA.B.5 · 3.OA.D.8 · 3.OA.C.7

   4. Nines, zero and one, and the table5 lessons

      1. Nines are tens less one
      2. Patterns in the nines
      3. Zero and one
      4. Reading the table
      5. Two steps with harder facts

      Florida B.E.S.T.: MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.1.2 · MA.3.AR.3.1 · MA.3.AR.3.3

      Common Core: 3.OA.B.5 · 3.OA.C.7 · 3.OA.D.9 · 3.OA.D.8

   5. Multiples of ten3 lessons

      1. Times a multiple of ten
      2. Where the zero comes from
      3. Problems with multiples of ten

      Florida B.E.S.T.: MA.3.NSO.2.3 · MA.3.AR.1.2

      Common Core: 3.NBT.A.3 · 3.OA.B.5 · 3.OA.D.8

4. Module 4

   Covering Rectangles: Area by Tiles and by Multiplying

   Covering Rectangles: Area by Tiles and by Multiplying: 4 chapters · 13 lessons

   How much a flat shape covers: counted in square tiles first, then worked out by multiplying the sides, then cut apart and added back.

   1. What area is4 lessons

      1. What area is
      2. Cutting and moving
      3. Covering with squares
      4. Tiles along a side

      Florida B.E.S.T.: MA.3.GR.2.1 · MA.3.GR.2.2

      Common Core: 3.MD.C.5 · 3.MD.C.6 · 3.MD.C.7

   2. Tiles become an array3 lessons

      1. The tiles are an array
      2. Finishing the array
      3. Area is a multiplication

      Florida B.E.S.T.: MA.3.GR.2.1 · MA.3.GR.2.2

      Common Core: 3.MD.C.7 · 3.OA.A.1

   3. Splitting rectangles3 lessons

      1. Different shapes, same area
      2. Splitting a rectangle
      3. Which rectangles fit

      Florida B.E.S.T.: MA.3.AR.1.1 · MA.3.GR.2.2 · MA.4.GR.2.2

      Common Core: 3.MD.C.7 · 3.OA.B.5 · 3.OA.A.4 · 4.OA.B.4

   4. Area in the world3 lessons

      1. Problems about area
      2. Shapes made of rectangles
      3. A floor plan

      Florida B.E.S.T.: MA.3.GR.2.3 · MA.3.GR.2.4

      Common Core: 3.MD.C.7 · 3.OA.D.8 · 3.MD.C.5

5. Module 5

   Unit Fractions and Where They Sit on the Line

   Unit Fractions and Where They Sit on the Line: 6 chapters · 22 lessons

   Equal pieces of a whole get a name, and each name becomes a point on the line that can be compared with others and called by a second name.

   1. Equal parts2 lessons

      1. Equal parts
      2. A half of what

      Florida B.E.S.T.: MA.3.FR.1.1

      Common Core: 3.NF.A.1 · 3.G.A.2

   2. Building a fraction4 lessons

      1. One of the parts
      2. Counting the pieces
      3. And the rest
      4. Past one whole

      Florida B.E.S.T.: MA.3.FR.1.1 · MA.3.FR.1.2 · MA.3.FR.1.3

      Common Core: 3.NF.A.1 · 3.NF.A.3

   3. Comparing, and the whole4 lessons

      1. More pieces, smaller pieces
      2. Only if the wholes match
      3. Finding the whole
      4. One picture, two names

      Florida B.E.S.T.: MA.3.FR.1.1 · MA.3.FR.1.2 · MA.3.FR.2.1

      Common Core: 3.NF.A.3 · 3.NF.A.1 · 3.G.A.2

   4. Fractions on the number line4 lessons

      1. A fraction is a place
      2. Any fraction on the line
      3. Between the whole numbers
      4. Further from zero

      Florida B.E.S.T.: MA.3.FR.1.1 · MA.3.FR.1.2 · MA.3.FR.2.1

      Common Core: 3.NF.A.2 · 3.NF.A.3

   5. Equivalent fractions6 lessons

      1. Two names, one amount
      2. The same point
      3. Making one on purpose
      4. Whole numbers as fractions
      5. Breaking a whole up
      6. Saying why they are equal

      Florida B.E.S.T.: MA.3.FR.1.2 · MA.3.FR.2.1 · MA.3.FR.2.2 · MA.4.FR.1.3

      Common Core: 3.NF.A.3 · 3.NF.A.2 · 3.NF.A.1

   6. Ordering and precision2 lessons

      1. Same top number
      2. Cutting it exactly

      Florida B.E.S.T.: MA.3.FR.1.1 · MA.3.FR.2.1

      Common Core: 3.NF.A.3 · 3.NF.A.2 · 3.G.A.2

6. Module 6

   Tallies, Scaled Graphs and Line Plots

   Tallies, Scaled Graphs and Line Plots: 2 chapters · 8 lessons

   Counts kept in tallies and drawn as bars on a scale that steps by more than one, and quarter-inch measures shown on a line plot.

   1. Bar graphs with a scale4 lessons

      1. Collecting and sorting
      2. Turning the tape on its end
      3. When one square is five
      4. Asking the graph

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

      Common Core: 3.MD.B.3 · 3.OA.D.8

   2. Measuring and plotting4 lessons

      1. The marks between the inches
      2. Reading a line plot
      3. Building a line plot
      4. Asking the data

      Florida B.E.S.T.: MA.3.M.1.1 · MA.3.DP.1.2 · MA.4.DP.1.1 · MA.4.DP.1.2

      Common Core: 3.MD.B.4 · 3.OA.D.8

7. Module 7

   Shapes, Perimeter and Area Together

   Shapes, Perimeter and Area Together: 4 chapters · 17 lessons

   Shapes sorted by their sides and corners, the length around a shape kept apart from the space inside it, and problems that need the two together.

   1. Problems with a letter1 lesson

      1. Writing the equation first

      Florida B.E.S.T.: MA.3.AR.1.2 · MA.3.AR.2.3 · MA.4.AR.2.2

      Common Core: 3.OA.D.8 · 3.OA.A.4

   2. Sorting shapes4 lessons

      1. More than one name
      2. Naming by counting
      3. Drawing to a rule
      4. Shapes from shapes

      Florida B.E.S.T.: MA.1.GR.1.3 · MA.2.GR.1.1 · MA.2.GR.1.2 · MA.3.GR.1.2

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

   3. Perimeter6 lessons

      1. The walk round the outside
      2. All four sides
      3. Working backwards
      4. Problems about perimeter
      5. Round a circle
      6. Perimeter with any operation

      Florida B.E.S.T.: MA.2.GR.2.1 · MA.2.GR.2.2 · MA.3.M.1.1 · MA.3.GR.2.3 · MA.3.GR.2.4 · MA.4.GR.2.1

      Common Core: 3.MD.D.8 · 3.OA.A.4 · 3.OA.D.8 · 3.MD.B.4

   4. Both at once6 lessons

      1. Every rectangle from a set of squares
      2. The other way round
      3. Recording what you built
      4. Designing to a measurement
      5. Both at once
      6. Halves that look wrong

      Florida B.E.S.T.: MA.2.FR.1.2 · MA.3.FR.1.1 · MA.3.GR.2.3 · MA.3.GR.2.4 · MA.3.DP.1.1 · MA.4.GR.2.2

      Common Core: 3.MD.D.8 · 3.MD.C.7 · 3.MD.B.4 · 3.OA.D.8 · 3.NF.A.1 · 3.G.A.2

8. Arranged by topic

   More Grade 3 lessons

   More Grade 3 lessons: 8 chapters · 17 lessons

   These start in Grade 3 but sit in the workbook by topic, not in a module. One marked with a later year carries on into it.

   1. Multiplying and dividing5 lessons

      1. Multiplying equal groups
      2. Sharing into equal groups
      3. Knowing the facts
      4. Times zero and times one
      5. Two sides of one fact

      Florida B.E.S.T.: MA.3.NSO.2.2 · MA.3.NSO.2.4 · MA.3.AR.1.1 · MA.3.AR.2.1 · MA.4.NSO.2.1

      Common Core: 3.OA.A.1 · 3.OA.C.7 · 3.OA.A.2 · 3.OA.B.6 · 3.OA.B.5

   2. Bigger numbers2 lessons

      1. Rounding · into Grade 4
      2. Adding and subtracting to 1000

      Florida B.E.S.T.: MA.3.NSO.1.4 · MA.3.NSO.2.1

      Common Core: 3.NBT.A.1 · 3.NBT.A.2

   3. Expressions1 lesson

      1. Two steps to the answer · into Grade 4

      Florida B.E.S.T.: MA.3.AR.1.2

      Common Core: 3.OA.D.8

   4. Naming fractions2 lessons

      1. Which fraction is bigger
      2. Adding fractions that match

      Florida B.E.S.T.: MA.3.FR.1.2 · MA.3.FR.2.1 · MA.4.FR.2.2

      Common Core: 3.NF.A.3 · 4.NF.B.3a · 3.NF.A.1

   5. What a fraction is2 lessons

      1. Fractions on the number line
      2. Equivalent fractions · into Grade 4

      Florida B.E.S.T.: MA.3.FR.1.1 · MA.3.FR.2.1 · MA.3.FR.2.2 · MA.4.FR.1.3

      Common Core: 3.NF.A.2 · 3.NF.A.3 · 4.NF.A.1

   6. Area, perimeter and volume3 lessons

      1. Area and perimeter
      2. Perimeter
      3. Around it or inside it · into Grade 4

      Florida B.E.S.T.: MA.2.GR.2.2 · MA.3.GR.2.3

      Common Core: 3.MD.C.7 · 3.MD.D.8

   7. Angles and position1 lesson

      1. Sorting four-sided shapes

      Florida B.E.S.T.: MA.3.GR.1.2

      Common Core: 3.G.A.1

   8. Reading data1 lesson

      1. Graphs with a scale

      Florida B.E.S.T.: MA.3.DP.1.2

      Common Core: 3.MD.B.3

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