+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Ic, S Id High Blood Pressure

For Teachers 9th - 10th Standards
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.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Ic.2 Sarah, the Chimpanzee

For Teachers 9th - 10th
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...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Ic Words and Music Ii

For Teachers 9th - 10th
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.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N q.a: Traffic Jam

For Teachers 9th - 10th
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...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N q.a.3, N q.a.1, N q.a.2: Weed Killer

For Teachers 9th - 10th Standards
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.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N q.a.3 and S id.a: Accuracy of Carbon 14 Dating I

For Teachers 9th - 10th Standards
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....
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.a.2 & N cn.a: Computations With Complex Numbers

For Teachers 9th - 10th
This task requires learners to rewrite mathematical expressions involving complex numbers. Aligns with A-SSE.A.2 and N-CN.A.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.2: Checking a Calculation of a Decimal Exponent

For Teachers 9th - 10th Standards
The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. Aligns with N-RN.A.2.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.b.7: Coffee at Mom's Diner

For Teachers 9th - 10th
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.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F le.a & N Rn Extending the Definitions of Exponents 2

For Teachers 9th - 10th
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.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N q.a: New Cuyama

For Teachers 9th - 10th
On a road trip in California, Lisa saw a sign which made her laugh and take a picture: Aligns with N-Q.A.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.a.2, S cp.a.3, S cp.a.4 & S cp.a.5: The Titanic 2

For Teachers 9th - 10th
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...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.a.2 and S cp.a.3: Cards and Independence

For Teachers 9th - 10th
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.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn and 8 Ns: Calculating the Square Root of 2

For Teachers 9th - 10th
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.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.a.3: Finding Probabilities of Compound Events

For Teachers 9th - 10th
Cecil has two six-sided dice, a red one and a white one. Aligns with S-CP.A.3.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Cp: False Positive Test Results

For Teachers 9th - 10th
A certain test for mononucleosis has a 99% chance of correctly diagnosing a patient with mononucleosis and a 5% chance of misdiagnosing a patient who does not have the infection. Suppose the test is given to a group where 1% of the...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.a.1, S cp.a.4, and S cp.b.6: The Titanic 1

For Teachers 9th - 10th
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with only 710 of her 2,204 passengers and crew surviving. Data on survival of passengers are summarized in the table below. (Data source:...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn: Operations With Rational and Irrational Numbers

For Teachers 9th - 10th Standards
Experiment with sums and products of rational and irrational numbers. Aligns with N-RN.B.3.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn: Rational or Irrational?

For Teachers 9th - 10th Standards
In each of the following problems, a number is given. If possible, determine whether the given number is rational or irrational. In some cases, it may be impossible to determine whether the given number is rational or irrational. Justify...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N q.a.1: Ice Cream Van

For Teachers 9th - 10th
The purpose of this task is to engage students, probably working in groups, in a substantial and open-ended modeling problem. Students will have to brainstorm or research several relevant quantities, and incorporate these values into...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N q.a.1: Selling Fuel Oil at a Loss

For Teachers 9th - 10th
This task is a modeling problem which ties into financial decisions faced routinely by companies. Students will try to keep a balance between maintaining their oil inventory and raising short-term capital for investment or re-investment...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N q.a.1: Runners' World

For Teachers 9th - 10th
This task provides students with an opportunity to engage in Standard for Mathematical Practice 6, attending to precision. It intentionally omits some relevant information. Aligns with N-Q.A.1.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.1: Evaluating Exponential Expressions

For Teachers 9th - 10th Standards
The goal of this task is to use properties of exponents for whole numbers in order to explain how expressions with fractional exponents are defined. Aligns with the N-RN.A.1 standard.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.2: Kepler's Third Law of Motion

For Teachers 9th - 10th Standards
The purpose of this task is to solve some expressions requiring fractional exponents in the modeling context of planetary motion. Aligns with N-RN.A.2.