numberleaf.A little less prep.

UNDERSTAND / EQUAL JUMPS

See multiplication
on a number line.

Read equal jumps, then draw your own. Connect where you land to repeated addition and multiplication. Four problems per page, a worked example and matching visual answers.

A ready-to-print number-line lessonRead + draw · 2 student pages + 2 keys
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FROM SEEING TO DRAWING

Make it yours

The first factor is the number of jumps; the second is the size of each jump. Each small interval is 1 unit. Longer axes label every 10 units.

PRINT PREVIEW

Start at zero.

Read the equal jumpsNUMBERLEAF / MULTIPLICATION ON A NUMBER LINERead the equal jumpsName: __________________________ Date: ______________Start at 0. Each small interval is 1 unit. Count jumps, not tick marks.Worked example: 3 equal jumps of 404812164 + 4 + 4 = 123 × 4 = 121. Read the jumps. Complete the equations.0510+3+3____ jumps of ____: ____ × ____ = ____Repeated addition: ______________________________________________________2. Read the jumps. Complete the equations.051015202530+5+5+5+5+5____ jumps of ____: ____ × ____ = ____Repeated addition: ______________________________________________________3. Read the jumps. Complete the equations.0510+2+2+2+2____ jumps of ____: ____ × ____ = ____Repeated addition: ______________________________________________________4. Read the jumps. Complete the equations.05101520+5+5____ jumps of ____: ____ × ____ = ____Repeated addition: ______________________________________________________numberleafmath.com · readEdition 1K5B8OL
Readable text for this page

TEACHER & FAMILY NOTES

Count the jumps.
Keep their size equal.

Try one together

Start at 0. Make three jumps, each four units long: land at 4, 8 and 12. Say “three groups of four.” Record 4 + 4 + 4 = 12 and 3 × 4 = 12. Zero is the starting position, not the first jump. Count intervals between ticks to measure a jump.

Read, then draw

The reading page shows the jumps and labels their size. The learner records the number of jumps, each jump’s size and both equations. On the drawing page, the jumps are removed. Start at 0, follow the requested number and size, and mark each landing. Use a finger or a counter first if drawing arcs gets in the way of explaining the idea.

Check what the factors mean

If a learner draws three jumps of four for 4 × 3, the total is still 12, but the pictured journey is different. Ask for four jumps of three to match this page’s convention. Connect that comparison to two rotated arrays: the total can stay the same when the factors change roles.

If the learner counts tick marks, compare a jump from 0 to 4 with its four intervals. If they add the two factors, ask how many equal jumps the first factor requests. For a jump that is too long or short, check the difference between its two landing positions.

Scope and next steps

These materials develop equal-group multiplication related to Common Core 3.OA.A.1. They cover positive whole-number factors 2–5 or 2–10; they do not cover the whole standard, zero, one, fractions or negative numbers. The line extends beyond the final landing so the end of the axis is not a shortcut to the answer. Each small interval is one unit even when only every fifth or tenth value is labelled.

Compare the same multiplication with equal rows, use an array split to derive harder facts, or move to focused fact practice when the meaning is secure. Report a confusing diagram or printing issue.