Academic standards

- CCSS.Math.Content.6.G.A.3
- Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same...
- CCSS.Math.Content.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to...
- CCSS.Math.Content.6.NS.C.7
- Understand ordering and absolute value of rational numbers.
- CCSS.Math.Content.6.NS.C.8
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and...
- CCSS.Math.Content.6.RP.A.1
- Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings...
- CCSS.Math.Content.6.RP.A.2
- Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0, and use rate language in the context of a ratio relationship....
- CCSS.Math.Content.6.RP.A.3
- Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,...
- GLE 0606.2.3
- Understand and use ratios, rates and percents.
- GLE 0606.3.6
- Understand and use the Cartesian coordinate system.
- SPI 0606.2.6
- Solve problems involving ratios, rates and percents.
- SPI 0606.2.7
- Locate positive rational numbers on the number line.
- SPI 0606.2.8
- Locate integers on the number line.
- SPI 0606.3.9
- Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
- TSS.Math.6.G.A.3
- Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side that joins two vertices (vertical or...
- TSS.Math.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent...
- TSS.Math.6.NS.C.8
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value...
- TSS.Math.6.RP.A.1
- Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, the ratio of wings to beaks...
- TSS.Math.6.RP.A.2
- Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0. Use rate language in the context of a ratio relationship.
- TSS.Math.6.RP.A.3
- Use ratio and rate reasoning to solve real-world and mathematical problems.

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Essential and guiding questions:

Whole Group Questions:

PART A:

- Who can explain how you know that gear B will turn fewer times than gear A? Does it matter how many times gear A turns – will gear B always turn fewer times? Why?

PART B:

- Many of you created a table to record the turn values. Why was this an effective way to keep track of the turns?
- What are some of the patterns that you noticed?
- How did this table help you establish a relationship between the number of turns?
- What is the relationship between gear turns?
- Did anyone find another way to keep track of the gear turns?
- Was it more useful than a table?

PART C:

- Who can explain how you determined the number of times gear A would turn if gear B turned once? Who used the table? How did that help?
- Who set up an equation? How did you determine what equation to use? Who used a ratio and scaled through division or multiplication? How are these methods related to each other?

PART D:

- Who initially thought you would add 4 teeth to both gears? Why?
- What made you change your mind? If 4 teeth are added to gear A and 6 teeth are added to gear B, how does that connect to the relationship you saw in part B?