What this lesson shows
2 × 7 × 5 regrouped as 7 × (2 × 5) = 70.
The worked example
The lesson works this one step by step: 2 × 7 × 5. Then your kid tries one like it on paper.
The steps
- Find an easy pair
- Group it in parentheses
- Multiply by the third
Helping at home
Look at all three factors before multiplying. Find a pair that is easy, like 2 and 5 making 10. Put that pair in parentheses, multiply it first, then multiply by the third factor.
If your kid gets stuck
Which two factors make an easy number?
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
- Facts from facts you know
- Add the parts
- One digit times two digits
- Multiply both parts
- 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