What this lesson shows
6 × 9 as 4 × 9 + 2 × 9, one array split in two.
The worked example
The lesson works this one step by step: 6 × 9. Then your kid tries one like it on paper.
The steps
- Draw the rows
- Split off 5 rows
- Work out each part
- Add the parts
Helping at home
Draw the groups as rows of dots, then cut off 5 rows: fives are easy. Write each part in parentheses, work out each one, and add the two answers. Add the parts; never multiply them.
If your kid gets stuck
Split off 5 groups first.
Watch it with Lux
With Lux, this lesson is a narrated video and a printed page your kid works on. Then Lux helps with the same math on their own worksheet, one question at a time.
Standards
- Common Core 3.OA.B.5
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Matches a standard in all 50 states and DCSee each state's code
- Alabama MA19.3.5, MA19.3.7a
- Alaska 3.OA.5, 3.MD.9.c
- Arizona 3.OA.B.5, 3.OA.C.7 *
- Arkansas 3.CAR.2, 3.CAR.3
- California 3.OA.B.5
- Colorado 3.OA.B.5
- Connecticut 3.OA.B.5
- Delaware 3.OA.B.5
- District of Columbia 3.OA.B.5
- Florida MA.3.NSO.2.4, MA.3.AR.1.1
- Georgia 3.PAR.3.3
- Hawaii 3.OA.B.5
- Idaho 3.OA.B.5, 3.OA.C.7.b
- Illinois 3.OA.B.5
- Indiana 4.CA.3, 3.CA.5, 3.CA.6, 3.CA.3
- Iowa 3.OA.B.5, 3.OA.C.7
- Kansas 3.OA.5, 3.OA.7
- Kentucky KY.3.OA.5, KY.3.OA.7
- Louisiana 3.OA.B.5
- Maine 3.OA.B.5
- Maryland 3.NOS.C.4, 3.NOS.E.9.a, 3.NOS.E.9.b, 3.NOS.E.9.c, 4.NOS.C.7.a, 4.NOS.C.7.c
- Massachusetts 3.OA.B.5
- Michigan 3.OA.B.5
- Minnesota 3.1.2.5, 5.2.2.1
- Mississippi 3.OA.5, 3.OA.7
- Missouri 3.RA.B.6, 3.RA.C.7
- Montana MT.3.OA.5, MT.3.MD.7.c
- Nebraska 3.A.1.e, 3.A.1.g
- Nevada 3.OA.B.5
- New Hampshire 3.OA.B.5
- New Jersey 3.OA.B.5
- New Mexico 3.OA.B.5
- New York NY-3.OA.5, NY-3.OA.7.a
- North Carolina NC.3.OA.1.b
- North Dakota 3.AR.OA.1, 3.AR.OA.2, 4.AR.OA.2, 5.AR.OA.1
- Ohio 3.OA.5, 3.MD.7.c
- Oklahoma 3.N.2.2, 3.N.2.8, 3.A.2.2, 5.A.2.1
- Oregon 3.OA.B.5, 3.OA.C.7
- Pennsylvania CC.2.2.3.A.2
- Rhode Island 3.OA.B.5, 4.OA.A.3.a
- South Carolina 3.PAFR.1.3
- South Dakota 3.OA.B.5, 3.OA.C.7.a, 3.OA.C.7.b
- Tennessee 3.OA.B.5, 3.OA.C.7, 3.MD.C.7.c
- Texas 111.5.b.4.F, 111.5.b.4.G
- Utah 3.OA.5, 3.OA.7.b
- Vermont 3.OA.B.5
- Virginia 3.CE.2c, 3.CE.2d, 3.CE.2f
- Washington 3.OA.B.5
- West Virginia M.3.5, M.3.7
- Wisconsin M.3.OA.C.6, M.3.OA.B.4
- Wyoming 3.OA.7, 3.MD.7c, 3.MDP.7.C
More in this unit
- Equal groups and arrays
- Groups or how many in each?
- Two kinds of division
- Equal jumps on a number line
- Turn the array
- Add the parts
- One digit times two digits
- Multiply both parts
- Three factors, any order
- Times tens and hundreds
- Counting zeros fails
- One array, four facts
- True or false?
- The answer can go first
- The unknown anywhere
- Even or odd?
- The ones digit decides
- Is it a multiple?
- A number is its own multiple
- Patterns from a rule
- Position is not value
- Two-step word problems
- Finish the second step
- One pattern, two ways