Everything we have learned, in one mission.
This is a review of every skill we have covered so far — writing ratios, equivalent ratios and scale factor, rates, unit rates, and choosing the better buy. Nothing here is new. Start with the Family Note, then work through the six review parts. You get two tries on most questions, and hints are always available.
- Lesson 3-1 · Understand Ratios
- Lesson 3-1 · Equivalent Ratios & Scale Factor
- Lesson 3-2 · Understand Rates and Unit Rates
- Lesson 3-2 · Comparing Unit Prices
- Lesson 3-2 · Comparing Unit Rates (Best Value)
Choose tonight's path
The math stays the same. Pick a path that fits your family's time, and switch any time.
A note for families
Read this first. It explains what this homework reviews and how to help without doing the math for your student.
This homework reviews everything we have covered so far.
Up to this point, your student has learned five connected skills: how to write a ratio, how to make equivalent ratios using a scale factor, what a rate is, how to find a unit rate, and how to use unit rates to decide which option is the better buy. Nothing in this review is new. Every question comes from a lesson we have already done in class.
Because it is a review, your student may move faster through some parts than others. That is useful information: the part that feels hard is the part worth going back over together. The My Results tab lists exactly which sections still need work.
Para las familias: esta tarea repasa todo lo que hemos cubierto hasta ahora — escribir razones, razones equivalentes y el factor de escala, las tasas, las tasas unitarias y cómo elegir la mejor compra. Nada es nuevo. La pestaña My Results muestra qué secciones necesitan más práctica.
👀 What to listen for
- "Which amount is named first?" — the order of a ratio is part of the answer.
- Scaling multiplies. Adding the same number to both parts is the most common slip: from 1:3, adding 3 to each gives 4:6, but the answer is 4:12.
- "Per" means "for each one." A rate always names two different units.
- The cost goes on top. Flipping the fraction gives items per dollar instead of dollars per item.
- The smaller total price is not automatically the better buy.
🤝 How to help
- Let your student write the ratio or set up the fraction first, before you say anything.
- Ask them to explain why a step works, not just what the answer is.
- If they are stuck, press the ? or Hint button on the question rather than giving the answer.
- You do not need to know the math. Asking "how did you get that?" is the whole job.
- Ten focused minutes beats an hour of frustration. Stop and tell me what was hard.
💬 Sentence starters
The ratio of ___ to ___ is ___ because ___.
I multiplied both parts by ___, so ___.
This is a rate because it compares ___ and ___.
First, I ___. Then, I ___.
___ is the better buy because ___ per 1 is less than ___ per 1.
Pick any two things you can count — forks and spoons, apples and oranges, cans and boxes. Have your student write the ratio out loud in both directions ("4 to 6" and "6 to 4") and say which is which. Then pick up any package with a price and a count on it, and ask: what does one of these cost? That single question is the whole unit-rate lesson.
Part 1 · Writing Ratios
A ratio compares two amounts, and the order you write them in matters. Comparing one part to another part is part-to-part. Comparing a part to the total is part-to-whole.
Part 2 · Equivalent Ratios & Scale Factor
Find what the first quantity was multiplied by — that number is the scale factor — then multiply the second quantity by the same number.
Part 3 · Rates
A rate compares two amounts with different units, like miles and hours. Build a model by counting up by the rate, keeping the units lined up.
| Miles | 150 | 300 | 450 |
|---|---|---|---|
| Hours | 1 | 2 | 3 |
Part 4 · Unit Rates
Set up the ratio yourself: cost on top, amount on the bottom. Divide both parts by the bottom number so the bottom becomes 1. Then drop the 1 and say the unit rate.
Part 5 · Best Value
You cannot compare two packages by their total price, because they hold different amounts. Find each unit price first, then compare.
Part 6 · Mixed Review
All five skills, shuffled together. This is the closest thing to what a quiz looks like — the question does not tell you which skill to use.
My Results
Your work saves automatically on this device. Finish any incomplete section, then print this page for your family and your teacher.
📌 What to go back over
- Finish a section to see your review list.
✍️ Family sign-off · Firma de la familia
We talked about this review together, and here is what was hardest.