This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Say what a trapezoid is in your own words. Compare your definition with a partner. Is this parallelogram a trapezoid according to your definition? Expl...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Draw at least two examples and two non-examples of each of the quadrilaterals defined below. Parallelogram: A quadrilateral with 2 pairs of parallel si...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The students in Ms. Sun's class were drawing geometric figures. First she asked them to draw some points, and then she asked them to draw all the line ...
Today, we expect every student to be ready for the challenges of …
Today, we expect every student to be ready for the challenges of the 21st century – to learn more, to master new technologies, and to apply what they have learned in authentic/real-world contexts. The phrases “deeper learning” and “critical and creative thinking” have generated varied descriptions of the skills, knowledge, and dispositions students must possess to be able to sit at the table of opportunity and succeed in life after high school. Deeper learning happens when students become actively immersed in challenging tasks that require them to critically examine information, transfer what they have learned, and expand upon that learning to creatively experiment and construct new knowledge and insights. This does not happen in classrooms where the primary focus is getting students to comply with the work we’ve assigned and get correct answers to problems with known answers.
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Draw an angle that measures 60 degrees like the one shown here: Draw another angle that measures 25 degrees. It should have the same vertex and share s...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Margie bought 3 apples that cost 50 cents each. She paid with a five-dollar bill. How much change did Margie receive?...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Mr. Liu asked the students in his fourth grade class to measure their heights. Here are some of the heights they recorded: StudentHeight Sarah 50 inche...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Maned wolves are a threatened species that live in South America. People estimate that there are about 24,000 of them living in the wild. The dhole is ...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Historians estimate that there were about 7 million people on the earth in 4,000 BCE. Now there are about 7 billion! We write 7 million as 7,000,000. W...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The tick marks on the number line are evenly spaced. Label them. Plot the following numbers on the number line: 85 940 2,316 5,090 7,784 Round each num...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Find a number greater than 0 and less than 1,000 that: Is closer to 500 than 0, and Is closer to 200 than 500. There are many correct answers to this p...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Cynthia is making her famous "Perfect Punch" for a party. After looking through the recipe, Cynthia knows that she needs to mix $4\frac58$ gallons of f...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: How does the value of a fraction change if you double its numerator? Explain your answer. How does the value of a fraction change if you double its den...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: What fraction of the rectangle below is shaded? Laura says that $\frac14$ of the rectangle is shaded. Do you think she is correct? Explain why or why n...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Make a list of the first ten multiples of 3. Which of the numbers in your list are multiples of 6? What pattern do you see in where the multiples of 6 ...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Stating with 9, list the first 10 multiples of 9. In the list in part (a) what patterns do you see with the digits in the 10's place? What patterns do ...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The table below shows all the products of pairs of numbers between 1 and 9. Which numbers appear only once in the table of products? Where are these nu...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The 20 students in Mr. Wolf's 4th grade class are playing a game in a hallway that is lined with 20 lockers in a row. The first student starts with the...
On field, students have to image a given asteroid on two consecutive …
On field, students have to image a given asteroid on two consecutive nights, producing two sets of images obtained over 10-15 minutes, each set separated by about 4-5 hours. In class, students have to process the images in order to measure the observed diurnal parallax and then determine the corresponding asteroid distance.
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