Give this before the unit. It doesn't test the new standard (7.RP.A.2, proportional relationships). It checks the grade 4, 5 and 6 skills that standard builds on, so you can see who is ready and what to review first. It isn't meant to be graded. The answer key, with what each part tells you and how to reteach it, prints on its own page after it.
Before we start: this unit is about scaling recipes and comparing prices. This page shows what you already know about fractions, ratios and rates. It's fine if some of it is new. Try every question, show your thinking, and after each part circle how sure you feel.
Part A: Fractions 4.NF.A.1, 5.NF.B.4
1.2⁄3 = ?⁄12
? =
2.3⁄4 = 9⁄?
? =
3. ½ × 6 =
4. 1½ × 4 =
How sure do you feel? Not yetA littleI've got it
Part B: Money 5.NBT.B.7
5. $4.50 ÷ 3 =
$
6. $1.25 × 4 =
$
How sure do you feel? Not yetA littleI've got it
Part C: Ratios 6.RP.A.1, 6.RP.A.3
7. The recipe card says 2 cups of flour and 3 eggs. Write the ratio of flour to eggs. Then write the ratio of eggs to flour.
flour : eggs eggs : flour
8. Complete the ratio table for the recipe.
flour (cups)
2
4
10
eggs
3
9
9. A carton holds 12 eggs in 2 rows. How many eggs in each row?
eggs
How sure do you feel? Not yetA littleI've got it
Part D: Unit rates 6.RP.A.2, 6.RP.A.3b
10. The sign says 3 for $6. What does 1 cost?
$ each
11. A car goes 120 miles on 4 gallons of gas. How many miles per gallon?
mi/gal
12. Which is cheaper per pencil: 4 pencils for $2, or 10 pencils for $4?
4 for $2 is $0.50 each; 10 for $4 is $0.40 each, so 10 for $4 is cheaper per pencil.
What each part tells you
Part
Why it matters for this unit
If many students miss it
A: Fractions
Fractional scale factors (× ½, × 1½) are Part D of the worksheet and the game's harder orders.
Fraction strips or a quick review of multiplying a whole number by a fraction.
B: Money
Unit prices divide money by a count.
Practice with play money: share $4.50 among 3 people.
C: Ratios
A recipe is a ratio; scaling it keeps the ratio the same.
Build ratio tables with counters before the game.
D: Unit rates
The unit rate is the constant of proportionality, k in y = kx.
Grocery flyers: find the price of 1 for several deals.
Reading the results: students strong in Parts C and D can start scaling recipes on day one; save fractional scale factors until Part A is solid. Compare the “How sure do you feel?” circles with the answers: a student who circles “I've got it” but misses the part is worth a quick conversation.