Montana Math MT.3.MD.3
The Standard
Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. 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 draw picture graphs and bar graphs for data with several categories. They use a key or scale marked in twos to answer one-step and two-step comparison questions.
What Mastery Looks Like
- A student labels each category, gives the picture graph a clear key, and marks the bar graph scale evenly. They read each mark as two and can add category totals before finding how many more or fewer.
Common Misconceptions
- Students may count each picture or grid line as one, even when it stands for two. They may add two categories but forget to subtract to answer the question.
How to Assess It
- Give students these sample vote counts: Crow Fair 6, county fair 8, library program 10, farmers market 12. Ask them to draw both graphs using twos, then find how many fewer votes the two fairs received than the other two events combined.
Lesson moves
Ways to Teach It
Place 4, 6, 8, and 10 sample votes under Crow Fair, county fair, library program, and farmers market; draw both graphs by twos.
Ask, 'How many fewer votes did the two fairs get than the other two events together?' Have students write both sums and the difference.
Play graph detective: show a bar graph marked by twos and ask partners to find and fix one bar read as single votes.
Read flyers for Crow Fair, a Crow Nation event, and a county fair; tally student questions about each and graph the counts.
Free download
Printable MT.3.MD.3 Worksheet
A ready-to-print activity worksheet aligned to MT.3.MD.3, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MT.5.G.2
Represent problems including problems in context by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in t...
- MT.3.OA.8
Solve two-step problems in context using the four operations, represent these problems using equations with a letter standing for the unknown quantity and asses...
- MT.4.MD.2
Use the four operations to solve problems in context using distances, intervals of time, liquid volumes, masses of objects, and money, including problems with s...
- MT.2.MD.10
Organize, represent, and interpret data with up to four categories. This standard should incorporate cultural context relating to Montana Indigenous Peoples and...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson