Practice Set · Part 1
Math is Mine
Pick up where we left off
Where we left off
Our goal: I can look back at my answers from Lesson 1-1, describe how my math biography has changed this year, and recognize ways we are all doers of math, explain how I can tell, and judge a case I have not seen before.
The big idea: We are all doers of math and use math in our daily lives. Our math stories continue to grow and evolve as we grow and advance — and you can say why it is true, and where it would stop being true.
Model to copy — Watch me reread my September work
- In September I estimated the Ferris wheel: 20 cars with about 4 riders each is 20 × 4 = 80 riders — 'about 80.'
- Now I can go further with this year's math: at 6 turns an hour, that wheel moves about 80 × 6 = 480 riders per hour.
- Same wheel, same me — but my toolbox grew. That difference IS my math story.
Start here
You did these with your group. Now do them on your own — the model above is yours to copy.
- 1
Same stepsFinish what the group started. Use the model above, step for step.
Try it together — then prove it: In September we decomposed 78.5 as 70 + 8.5 and 80 − 1.5. This year we learned new ways to say the same number: 78.5 = 157 ÷ 2. And with percents: 50% of 157 = 78.5. Find one more way to write 78.5 using something you learned this year. Now prove it: say why that move had to work at all — not just that it did.Show your work - 2
Warm restartA bead pattern goes A, B, C, A, B, C, A, B, C. What is the pattern unit?
- AA, B, C
- BA
- CA, B, C, A, B, C
- DA, A, B, B, C, C
How do you know?
- 3
Warm restartA bead pattern repeats the unit A, B, C. What is the 10th bead?
- AA
- BB
- CC
- DThere is no 10th bead
How do you know?
- 4
Warm restartWhat makes a repeating design predictable?
- AA pattern unit that repeats in the same order
- BUsing many different colors
- CMaking every piece a different size
- DLeaving gaps between the pieces
How do you know?
Practice Set · Part 2
Math is Mine
Keep going
You answered these out loud. Now write them.
Answer, then say how you know — the reason is the part that counts.
- 5
Think it throughIn September you estimated the Ferris wheel as 20 cars × 4 riders = about 80. Which of these uses a tool you did NOT have in September to extend that same estimate?
- AMultiplying the 80 riders per turn by 6 turns per hour to find a rate of 480 riders per hour
- BAdding the 20 cars and 4 riders together to get 24
- CGuessing a completely different, unrelated number
- DDeciding not to estimate the Ferris wheel at all
Why is that the answer?
- 6
Think it throughWhich statement best distinguishes a real comparison of math stories with a classmate from just repeating what you already believe?
- ANaming something the classmate actually said, plus one genuine similarity AND one genuine difference between the two stories
- BWriting 'we both got better at math' and stopping there
- CCopying your own September answer word for word
- DSkipping the classmate entirely and writing only about yourself
How do you know? Give a second reason as well.
- 7
Think it throughA student writes, 'My classmate's story changed the same way mine did — we both feel more confident now.' What is missing from this comparison?
- AA genuine DIFFERENCE between the two stories, not just a shared similarity
- BThe classmate's full name and grade
- CThe exact date Lesson 1-1 was taught
- DA drawing of the Ferris wheel
Explain your thinking. What would have to change for a different choice to be right?
- 8
Back to the modelIn September you estimated 20 cars × 4 riders = about 80 Ferris wheel riders per turn. Now, at 6 turns an hour, how many riders per hour — and what tool did you use that you didn't have in September?
Sort it again — on paper this time
Write the letter of the group each one belongs in.
- Estimate how many people fit on a Ferris wheel
- Divide a fraction by a fraction
- Use ratios and unit rates to compare deals
- Keep score in a game
- Find a percent of a number
- Split a bill so everyone pays a fair share
- Plot points in all four quadrants of the coordinate plane
- Write and solve one-variable equations
Practice Set · Part 3
Math is Mine
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- The story of your relationship with math over time is your ___ ___.
- To look back at what you did and think about what it means is to ___.
- The change between what you could do before and what you can do now is ___.
- Trusting yourself to try, even when the first attempt may fail, is ___.
Explain the thinking
- 9
Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.
The mistake: Treating your math story as finished — writing the same answers you wrote in Lesson 1-1 instead of looking for what actually changed. - 10
Say moreWhen you sorted skills into 'I could already do this in September' and 'I learned or grew into this during Grade 6,' what made 'dividing a fraction by a fraction' belong in the growth column?
- 11
Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: It is the last week of school. Your notebook from September lies open next to today's page — your first math story on one side, and everything you have written since on the other.
Show your work
Practice Set · Part 4
Math is Mine
Show what you know
Last check
These two come from Lesson 10.5. If they are shaky, that is the lesson to revisit — not this one.
- 12
Show what you knowExplain your thinking — Which statement best captures this lesson's end-of-year summary of 'Math is Mine'?
- AWe are all doers of math in daily life, and our math stories continue to grow and evolve as we grow
- BMath belongs only to the students who mastered every unit this year
- CA math story is written once in September and never changes
- DMath stops mattering once the school year ends
Explain your choice.
- 13
From Lesson 10.5Explain your thinking — Which statement best matches this lesson's summary of 'Math is Boundless'?
- AMath can be used to create beautiful designs, which often have repetition, patterns, and rhythm
- BDesigns only count as mathematical if they are perfectly predictable
- CRhythm is the only real element of design
- DGeometric patterns were invented recently
How do you know?
- 14
From Lesson 10.5A new row of circles is being added to the painting. Which addition keeps the design consistent with rhythm rather than turning it into a pattern?
- ANew circles with different colors, sizes, and ring counts than any existing row
- BAn exact copy of the very first row, repeated precisely
- CCircles that follow a strict, repeating 3-shape unit
- DReplacing all the circles with a single repeated square
How do you know?
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got it |
|---|---|---|---|
| I can look back at my answers from Lesson 1-1, describe how my math biography has changed this year, and recognize ways we are all doers of math, explain how I can tell, and judge a case I have not seen before. | |||
| I can explain why it works: We are all doers of math and use math in our daily lives… | |||
| I can justify my answer to a skeptic and connect it to a second strategy or representation. |
One question I want to ask my group next time