A rule as an expression: 5th grade math lesson

What this lesson shows

9, 13, 17, 21 adds 4 each time: 4n + 5, so the 16th term is 69.

The worked example

The lesson works this one step by step: Start at 9, add 4. Then your kid tries one like it on paper.

The steps

Find the step
Compare with the times table
Write the rule, and check it

Helping at home

Find what the pattern adds each time. Compare each term with that number times its term number; what is left over is the same for every term. Write it as a rule, like 4n + 5, check it on a term, then use it for a far term.

If your kid gets stuck

What does it add each time? Times the term number, plus what?

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.

See how Lux works

Standards

Common Core 5.OA.B.3
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Matches standards in 49 statesSee each state's code

Alabama MA19.5.2a, MA19.5.2b, MA19.5.2c
Alaska 4.OA.5, 5.OA.3
Arizona 5.OA.B.3
Arkansas 5.CAR.14
California 5.OA.B.3
Colorado 5.OA.B.3
Connecticut 5.OA.B.3
Delaware 5.OA.B.3
District of Columbia 5.OA.B.3
Florida MA.5.AR.3.1, MA.5.AR.3.2
Georgia 4.PAR.3.2, 5.PAR.6.1
Hawaii 5.OA.B.3
Idaho 5.OA.B.3.a, 5.OA.B.3.b, 5.OA.B.3.c
Illinois 5.OA.B.3
Indiana 4.CA.9
Iowa 5.OA.B.3
Kentucky KY.5.OA.3.a, KY.5.OA.3.b, KY.5.OA.3.c
Louisiana 5.OA.B.3
Maine 5.OA.B.3
Maryland 5.AT.B.3.a, 5.AT.B.3.b, 5.AT.B.3.c
Massachusetts 5.OA.B.3
Michigan 5.OA.B.3
Minnesota 4.2.1.1, 5.2.1.1, 5.2.1.2
Mississippi 5.OA.3
Missouri 4.RA.C.7, 5.RA.A.1.a, 5.RA.A.1.b, 5.RA.A.1.c, 5.RA.A.1.d, 5.RA.A.2
Montana MT.5.OA.3, 5.D1.7
Nebraska 5.G.2.c
Nevada 5.OA.B.3
New Hampshire 5.OA.B.3
New Jersey 5.OA.B.3
New Mexico 5.OA.B.3
New York NY-5.OA.3
North Carolina NC.5.OA.3.a, NC.5.OA.3.b, NC.5.OA.3.c
North Dakota 5.AR.OA.5
Ohio 5.OA.3
Oklahoma 3.A.1.2, 4.A.1.1, 4.A.1.2, 5.A.1.1, 5.A.1.2
Oregon 5.OA.B.3
Pennsylvania CC.2.2.5.A.4
Rhode Island 5.OA.B.3
South Carolina 5.PAFR.3.3
South Dakota 5.OA.B.3
Tennessee 5.OA.B.3.a, 5.OA.B.3.b
Texas 111.5.b.5.E, 111.6.b.5.B, 111.7.b.4.C, 111.7.b.4.D, 111.7.b.8.C
Utah 5.OA.3
Vermont 5.OA.B.3
Virginia 4.PFA.1a, 4.PFA.1b, 4.PFA.1c, 5.PFA.1a, 5.PFA.1b, 5.PFA.1c
Washington 5.OA.B.3
West Virginia M.5.3
Wisconsin M.5.OA.B.3

A rule as an expression