Illustrative Mathematics
Illustrative Mathematics: S Ic School Advisory Panel
How do you choose the best sampling method for a specific task? This instructional activity asks the students to decide the best way out of four choices to select three students to serve on a school advisory panel. Students need to...
Illustrative Mathematics
Illustrative Mathematics: k.oa Pick Two
This activity is a basic introduction to writing simple equations. Students are given a set of numbers and will pick two numbers that add to make six. They will write an equation that shows that those two numbers add to make 6.
Illustrative Mathematics
Illustrative Mathematics: k.oa Shake and Spill
The purpose of this task is for students to decompose a number as a sum of two other numbers in more than one way. Students will shake and spill 5 two colored counters and determine how many of each color is showing and record the sum...
Illustrative Mathematics
Illustrative Mathematics: k.oa Ten Frame Addition
The purpose of this task is for students to practice adding numbers within ten and become familiar with the ten-frame.
Illustrative Mathematics
Illustrative Mathematics: k.oa Dice Addition 2
For this task, students will roll dice and write and solve addition equations.
Illustrative Mathematics
Illustrative Mathematics: S Id Coffee and Crime
This task addresses many standards regarding the description and analysis of bivariate quantitative data, including regression and correlation. Given a scatter plot, students will answer a variety of questions about linear relationships,...
Illustrative Mathematics
Illustrative Mathematics: S Ic Block Scheduling
A random sample of 100 learners from a specific high school resulted in 45% of them favoring a plan to implement block scheduling. Is it plausible that a majority of the students in the school actually favor the block schedule? Learners...
Illustrative Mathematics
Illustrative Mathematics: S Ic, S Id Musical Preferences
Students will use a data set to demonstrate that they know what it means for two variables to be associated. Explanations and solutions are provided.
Illustrative Mathematics
Illustrative Mathematics: k.oa Ten Flashing Fireflies
The purpose of this task is to help students develop fluency with addition facts to 10. Using the book "Ten Flashing Fireflies" by Philemon Sturges, students will move a yellow counter to the ten frame to represent the firefly in the...
Illustrative Mathematics
Illustrative Mathematics: S Ic, S Id High Blood Pressure
The purpose of this task is to assess understanding of how study design dictates whether a conclusion of causation is warranted and whether there can be a cause-and-effect conclusion. Explanations are provided.
Illustrative Mathematics
Illustrative Mathematics: S Ic.2 Sarah, the Chimpanzee
The purpose of this task is to give students experience in using simulation to determine if observed results are consistent with a given model. The final part of the task also addresses the role of random assignments in the design of an...
Illustrative Mathematics
Illustrative Mathematics: S Ic Words and Music Ii
Given a hypothetical situation, students will decide if this is an experiment or observational study and why? They will also learn the importance of random assignments in this particular example. Explanations are provided.
Illustrative Mathematics
Illustrative Mathematics: N q.a: Traffic Jam
This task, codes to all three standards in this cluster, and also offers students an opportunity to practice modeling (MP4). Students must attempt to make reasonable assumptions about the average length of vehicles in the traffic jam and...
Illustrative Mathematics
Illustrative Mathematics: N q.a.3, N q.a.1, N q.a.2: Weed Killer
The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout. Aligns with N-Q.A.3, N-Q.A.1, and N-Q.A.2.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3 and S id.a: Accuracy of Carbon 14 Dating I
This task examines, from a mathematical and statistical point of view, how scientists measure the age of organic materials by measuring the ratio of Carbon 14 to Carbon 12. The focus here is on the statistical nature of such dating....
Illustrative Mathematics
Illustrative Mathematics: A sse.a.2 & N cn.a: Computations With Complex Numbers
This task requires learners to rewrite mathematical expressions involving complex numbers. Aligns with A-SSE.A.2 and N-CN.A.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.2: Checking a Calculation of a Decimal Exponent
The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. Aligns with N-RN.A.2.
Illustrative Mathematics
Illustrative Mathematics: S cp.b.7: Coffee at Mom's Diner
This task assesses a student's ability to use the addition rule to compute a probability and to interpret a probability in context of a coffee shop. Aligns with S-CP.B.7.
Illustrative Mathematics
Illustrative Mathematics: F le.a & N Rn Extending the Definitions of Exponents 2
A biology student is studying bacterial growth. She was surprised to find that the population of the bacteria doubled every hour. Aligns with the F-LE.A and N-RN.A.1 standards.
Illustrative Mathematics
Illustrative Mathematics: N q.a: New Cuyama
On a road trip in California, Lisa saw a sign which made her laugh and take a picture: Aligns with N-Q.A.
Illustrative Mathematics
Illustrative Mathematics: S cp.a.2, S cp.a.3, S cp.a.4 & S cp.a.5: The Titanic 2
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. Data on survival of...
Illustrative Mathematics
Illustrative Mathematics: S cp.a.2 and S cp.a.3: Cards and Independence
One card is selected at random from the following set of 6 cards, and students will find the probability of different scenarios. Aligns with the S-CP.A.2 and S-CP.A.3 standards.
Illustrative Mathematics
Illustrative Mathematics: N Rn and 8 Ns: Calculating the Square Root of 2
Jessica evaluates $\sqrt{2}$ on her calculator which shows a value of $$ 1.4142136. $$ She then writes $$ \sqrt{2} = 1.4142136. $$ Aligns with 8.NS.A.
Illustrative Mathematics
Illustrative Mathematics: S cp.a.3: Finding Probabilities of Compound Events
Cecil has two six-sided dice, a red one and a white one. Aligns with S-CP.A.3.