Illustrative Mathematics
Illustrative Mathematics: G Mg Paper Clip
A paper clip is just over 4 cm long. How many paper clips like this may be made from a straight piece of wire 10 meters long? This high level task is an example of applying geometric methods to solve design problems and satisfy physical...
Illustrative Mathematics
Illustrative Mathematics: N Q Giving Raises
A small company wants to give raises to their 5 employees. They have $10,000 available to distribute. Imagine you are in charge of deciding how the raises should be determined. What method would be fair to everyone? Aligns with HSN-Q.A.2.
Illustrative Mathematics
Illustrative Mathematics: N Rn Sums of Rational and Irrational Numbers
The goal of this task is to examine sums and products of rational and irrational numbers. One important property of rational numbers is that their decimals always terminate or repeat: using a slightly different formulation, a rational...
Illustrative Mathematics
Illustrative Mathematics: N Cn Complex Distance
In this problem, you will compute some values related to the complex numbers 2 + i and 5 - 3i. Aligns with N-CN.B.6.
Illustrative Mathematics
Illustrative Mathematics: 7.sp, S Cp, S Md but Mango Is My Favorite
A seven-year-old boy has a favorite treat, Super Fruity Fruit Snax. Of the 5 fruit flavors, he likes mango the best. When the boy found no mango in his fruit pouch, his mother (a statistician) assured him that this was no big deal and...
Illustrative Mathematics
Illustrative Mathematics: S Cp Breakfast Before School
On school days, Janelle sometimes eats breakfast and sometimes does not. After studying probability for a few days, Janelle says, "The events 'I eat breakfast' and 'I am late for school' are independent." Explain what this means in terms...
Illustrative Mathematics
Illustrative Mathematics: s.ic.4 the Marble Jar
Sometimes hotels, malls, banks, and other businesses will present a display of a large, clear container holding a large number of items and ask customers to estimate some aspect of the items in the container as a contest. In some cases,...
Illustrative Mathematics
Illustrative Mathematics: S Md Fred's Fun Factory
A famous arcade in a seaside resort town consists of many different games of skill and chance. In order to play a popular "spinning wheel" game at Fred's Fun Factory Arcade, a player is required to pay a small, fixed amount of 25 cents...
Illustrative Mathematics
Illustrative Mathematics: S Md.2, 5 Sounds Really Good! (Sort Of)
A friend of yours, Phil, writes to you asking about a new scratch-off lottery game. It costs $10 to play this game. There are two outcomes for the game (win, lose) and the probability that a player wins a game is 60%. A win results in...
Illustrative Mathematics
Illustrative Mathematics: 4.oa Comparing Money Raised
The purpose of this task is for students to solve three comparisons problems that are related by their context but are structurally different. Multiplicative comparison is purposefully excluded from third grade (see 3.OA.3 and 3.MD.2),...
Illustrative Mathematics
Illustrative Mathematics: 4.nf Cynthia's Perfect Punch
Cynthia is making her famous "Perfect Punch" for a party. After looking through the recipe, Cynthia explores mixed numbers to create it.
Illustrative Mathematics
Illustrative Mathematics: 1.oa Using Lengths to Represent Equality
In this lesson plan, 1st graders determine if lengths are equal to one another.
Illustrative Mathematics
Illustrative Mathematics: 1.oa Valid Equalities?
This lesson plans allows students to explore the meaning of the equal sign in addition and subtraction problems.
Illustrative Mathematics
Illustrative Mathematics: 7.ee Who Is the Better Batter?
Seventh graders compare the batting averages of two baseball players in this lesson.
Illustrative Mathematics
Illustrative Mathematics: S cp.a.4, S cp.a.5 and S cp.b.6: The Titanic 3
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with only 710 of her 2,204 passengers and crew surviving. Some believe that the rescue procedures favored the wealthier first class passengers. Other believe that the...
Illustrative Mathematics
Illustrative Mathematics: g.co Reflections and Isosceles Triangles
This task has students link their intuitive notions of symmetries of a triangle with statements proving that said triangle is unmoved by applying certain rigid transformations. The mechanism through which students do this is via...
Illustrative Mathematics
Illustrative Mathematics: S Cp and Md: Return to Fred's Fun Factory (With $.50)
The task is intended to address standards regarding sample space, independence, probability distributions and permutations/combinations. Aligns with S-CP.A.1.
Illustrative Mathematics
Illustrative Mathematics: S Id Haircut Costs
This lesson could be used as an introductory lesson to introduce group comparisons. Being able to use data to compare two groups is an important skill. Students will sketch box plots using the data given about the cost of haircuts for...
Illustrative Mathematics
Illustrative Mathematics: S Id Sat Scores
Students will find solutions for a series of questions based on the assumption that SAT mathematics scores for a particular year are approximately normally distributed with a mean of 510 and a standard deviation of 100. Explanation and...
Illustrative Mathematics
Illustrative Mathematics: Understanding the Standard Deviation
The purpose of this task is to deepen student understanding of the standard deviation as a measure of variability in data distribution. The task is divided into four parts, each of which asks students to think about standard deviation in...
Illustrative Mathematics
Illustrative Mathematics: S Id.3 Describing Data Sets With Outliers
For certain data sets, such as home prices and household or individual income, is often described using the median instead of the mean. This lesson explores the mean and median in some different situations to help you understand the...
Illustrative Mathematics
Illustrative Mathematics: S Id Math Test Grades
Ari has collected data on how much her classmates study each week and how well they did on their recent math test. Here is part of the data showing the percentage of each group (divided according to hours spent studying) who got B's or...
Illustrative Mathematics
Illustrative Mathematics: S Id.1,2,3 Speed Trap
A statistically-minded state trooper wondered if the speed distributions are similar for cars traveling northbound and for cars traveling southbound on an isolated stretch of interstate highway. Learners will use the data collected by...
Illustrative Mathematics
Illustrative Mathematics: S Id.4 Do You Fit in This Car?
Students are tasked with solving a common issue for automobile manufacturers that require the students to use normal distribution as a model for data distribution. They will also use mean and standard deviation to figure out the problem....