Moving between representations of a relationship · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Same idea, many pictures

Mathematics · Mathematical Thinking · ages 10-11
Name ______________________   Date ____________

  1. Which story matches the equation 1/5 x 30?

    • Ravi has 30 shells and finds 5 times as many
    • Ravi has 30 shells and paints 1/5 of them
    • Ravi has 5 shells and paints 30 of them

  2. Ivy has 18 stickers and puts 1/3 of them on her lunchbox. How many stickers is that?

    • 54 stickers
    • 3 stickers
    • 6 stickers

  3. Which equation matches the story: 'Half of 16 cookies are chocolate'?

    • 1/2 x 16
    • 2 x 16
    • 1/2 + 16

  4. A table of values and a graph made from that same table always show the same relationship, just in different forms.

    Circle one:   True   False

  5. Which bar model matches the story: 'Ben read 1/4 of his 20-page book'?

    • 20 split into 4 equal parts, 1 part shaded
    • 20 split into 2 equal parts, 1 part shaded
    • 20 split into 4 equal parts, 3 parts shaded

  6. A bar model shows 24 counters split into 8 equal strips, with 3 strips shaded. Which equation matches the shaded part?

    • 8/3 x 24
    • 3 x 24
    • 3/8 x 24

  7. On a grid, the points for a juice stand climb in a straight line through zero, and every cup adds the same amount. Which table could have made that graph?

    • 1 cup $2, 2 cups $4, 3 cups $6
    • 1 cup $2, 2 cups $5, 3 cups $9
    • 1 cup $2, 2 cups $2, 3 cups $2

  8. A jar holds 50 marbles and 7/10 of them are blue. How many marbles are blue? Type just the number.

    Answer: ______________

  9. A reading table says: after 1 week 4 books, after 2 weeks 9 books, after 3 weeks 15 books. What do these points do on a coordinate grid?

    • They line up straight through zero, because the total keeps growing
    • They rise, but not in a straight line, because the jumps are 5 then 6
    • They stay flat, because a book is added every week

  10. A bar is split into 6 equal strips. Two strips together hold 10 stickers. How many stickers does the whole bar hold?

    • 60 stickers
    • 20 stickers
    • 30 stickers
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Same idea, many pictures W1-mt_9KmVWCuh5_-s1

  1. Ravi has 30 shells and paints 1/5 of them · The multiply sign between a fraction and a number means 'of', so 1/5 x 30 is one fifth of thirty shells.
  2. 6 stickers · 1/3 means the 18 stickers split into 3 equal groups, and one of those groups holds 6.
  3. 1/2 x 16 · Half means 1/2 of the total, so the equation multiplies 1/2 by 16.
  4. True · The graph is just a picture of the numbers already in the table.
  5. 20 split into 4 equal parts, 1 part shaded · A quarter means 1 out of 4 equal parts, so only 1 of 4 strips is shaded.
  6. 3/8 x 24 · 3 shaded strips out of 8 equal strips is the fraction 3/8, taken of the 24 counters in the bar.
  7. 1 cup $2, 2 cups $4, 3 cups $6 · A straight line through zero needs an equal jump every time, and $2, $4, $6 adds $2 for each cup.
  8. 35 · 50 splits into 10 strips of 5, and 7 of those strips is 35.
  9. They rise, but not in a straight line, because the jumps are 5 then 6 · Points only line up straight when every jump is the same size, and these jumps are 5 then 6.
  10. 30 stickers · Two strips hold 10, so one strip holds 5, and 6 strips of 5 make 30.
Worksheet · LightMySky