Montana Math MT.3.OA.8
The Standard
Solve two-step problems in context using the four operations, represent these problems using equations with a letter standing for the unknown quantity and assess the reasonableness of answers using mental computation and estimation strategies. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve two-step problems about local Montana communities, including Indigenous community events. They write an equation with a letter for the missing number, then use mental math or an estimate to check their answer.
What Mastery Looks Like
- For four groups of seven with five students absent, a student writes 4 × 7 − 5 = n and finds 23. They explain that 23 makes sense because it is less than 28 and close to 25.
Common Misconceptions
- Students may subtract five from each group instead of from the total, or divide when they need to combine equal groups. Some put a letter beside their answer rather than in an equation, or accept an answer larger than the starting total after people leave.
How to Assess It
- Exit ticket: Four classes each plan to send seven students to the Museum of the Plains Indian in Browning, but five cannot go; write an equation with a letter to find how many go, then check mentally.
Lesson moves
Ways to Teach It
Give pairs three cups with six counters each; add four counters, write 3 × 6 + 4 = n, and check the total mentally.
Ask, 'Twenty-four pencils go into bags of six, then two more bags arrive. How many bags are there?' Have students defend their equations.
Give pairs cards reading '3 groups of 6, 4 leave,' '3 × 6 − 4 = n,' and 'about 15'; match and justify.
Show a North American Indian Days flyer; ask, 'If three school groups bring eight students each and five leave, how many remain?'
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