Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Try it together — then prove it: One rack holds 5 bikes. Each bike has 2 wheels. A bigger rack has 4 times as many wheels. How many wheels are on the bigger rack? Use get-unstuck moves. Name what you know. How many wheels are on the small rack? (5 × 2 = 10 wheels) Draw a picture of “4 times as many.” What do you see? (4 equal groups of 10 wheels.) How many wheels are on the bigger rack? (10 × 4 = 40 wheels) A classmate wrote 10 + 4 = 14. Why is that wrong? (That means 4 more, not 4 times as many. “4 times as many” is 4 equal groups of 10.)

   Show your work
2. 2

   Warm restartA pattern goes 2, 4, 6, 8. What is the next number?

   1. A9
   2. B10
   3. C12
   4. D16

   How do you know?
3. 3

   Warm restartThe pattern rule is “add 5.” If you start at 10, what comes next?

   1. A5
   2. B15
   3. C20
   4. D50

   How do you know?
4. 4

   Warm restartThe pattern rule is “subtract 3.” If you start at 20, what comes next?

   1. A3
   2. B17
   3. C23
   4. D60

   How do you know?

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it throughWhich is an example of a working-together agreement that supports the class as a community of thinkers?

   1. AOnly share ideas when you're sure they're correct
   2. BCritique the ideas that are shared, not the classmates who shared them
   3. CLet the fastest student finish problems for the group
   4. DWork silently so no one is distracted

   Why is that the answer?
2. 6

   Think it throughWhich is an example of a working-alone agreement that still supports the whole class?

   1. ASeek help when stuck, without interrupting classmates unnecessarily
   2. BNever ask for help, even when stuck
   3. CInterrupt a classmate anytime you have a question
   4. DSkip any problem you find difficult

   How do you know? Give a second reason as well.
3. 7

   Think it throughWhy should the class agree on both a together-agreement and an alone-agreement?

   1. ABecause math class includes both kinds of work, and each kind needs its own way to support the whole community
   2. BBecause working alone matters more than working together
   3. CBecause agreements for working together are only for advanced students
   4. DBecause agreements about working alone don't affect other students

   Explain your thinking. What would have to change for a different choice to be right?
4. 8

   Back to the modelOne bike rack holds 8 bikes with 2 wheels each, and another rack has 6 times as many wheels. Think about the last time you worked with someone to solve a problem like this — what did you actually DO first?

Sort it again — on paper this time

Write the letter of the group each one belongs in.

• Think about what you know and don't know about the problem
• Look for patterns and relationships among quantities
• Visualize the problem and choose a useful representation
• Develop a solution plan
• Think of questions to ask a classmate or the teacher
• Draw pictures of the problem to see it differently
• Think of problems you have seen like this before
• Identify what you don't understand about the problem

Use the words

Fill each blank with a word from the bank.

• A drawing, table, or equation that shows the math in a situation is a ___.
• The plan you choose before you start computing is your ___.
• To examine an idea and say what is or is not convincing is to ___ it.
• A rule the whole class agrees to so everyone can learn is a ___ ___.

Explain the thinking

1. 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 'stuck' as a stop sign instead of a signal — waiting silently instead of trying a strategy: asking a question, drawing the problem, or recalling a similar problem.
2. 10

   Say moreYou sorted moves like 'look for patterns' as making-sense moves and 'ask a classmate a question' as getting-unstuck moves. Why are BOTH columns considered real math, not just the planning column?
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: A bicycle rack outside the school holds a row of bikes, each with 2 wheels. Another bicycle rack has 6 times as many wheels.

   Show your work

Last check

These two come from Lesson 1.5. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowExplain your thinking — Which statement best captures what this lesson means by 'Math is Ours'?

   1. AMath belongs to whoever finishes first
   2. BWorking together means one person solves while the others watch
   3. CGetting stuck means math is not for you
   4. DWe are a community of math thinkers and doers — we work together and on our own, showing respect for our classmates, our community, ourselves, and our math ideas

   Explain your choice.
2. 13

   From Lesson 1.5Explain your thinking — Which statement best captures what this lesson means by 'Math is Finding Patterns'?

   1. AWe look for patterns and relationships, use them to solve problems and make generalizations, and check our solutions for reasonableness
   2. BPatterns are decorations that make problems look nicer
   3. CA pattern rule only works if you also count every item one at a time
   4. DOnce you spot a pattern you never need to check your answer

   How do you know?
3. 14

   From Lesson 1.5After using the pattern rules to find both players' final scores, how can the players check that their totals are reasonable?

   1. AMultiply the two final scores together
   2. BRound both totals to the nearest ten
   3. CList the score after each shot in a table of values and confirm the sequence lands on the final totals
   4. DCompare the players' shooting percentages

   How do you know?

Be honest — this tells your teacher what to do next