Illustrative Mathematics
Illustrative Mathematics: A ced.a.2: Silver Rectangle
This task provides a geometric context for working with ratios and algebraic equations. Students will create and then solve an algebraic equation describing a remarkable shape, the silver rectangle. Aligns with A-CED.A.2.
Illustrative Mathematics
Illustrative Mathematics: A Rei the Circle and the Line
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
Shodor Education Foundation
Shodor Interactivate: Lesson: Arithmetic Practice W/ Ordered Pairs
The Shodor Education Foundation provides this lesson plan to have students practice simple computation that results in them graphing their answers. If they are accurate they will have a straight line. Students use an interactive...
Illustrative Mathematics
Illustrative Mathematics: A rei.b.4.a: Visualizing Completion of the Square
The purpose of this visualization task is to help provide geometric intuition for the algebraic process called ''completing the square.'' Aligns with HSA-REI.B.4.a.
Illustrative Mathematics
Illustrative Mathematics: A Rei Quinoa Pasta 2
For this problem, students must determine how much quinoa and how much corn are in a type of pasta. They must study the ingredient list which shows the protein content of the pasta. They know that quinoa has more protein than corn and...
Shodor Education Foundation
Shodor Interactivate: Lesson: More Complicated Functions: Intro Linear Functions
In this lesson, young scholars learn about linear functions and how they can be represented as rules and data tables. Includes a worksheet with exploration questions to accompany an interactive Linear Function Machine. The lesson plan is...
Illustrative Mathematics
Illustrative Mathematics: 6.ee Chocolate Bar Sales
n this task learners use different representations to analyze the relationship between two quantities and to solve a real world problem. The situation presented provides a good opportunity to make connections between the information...
Science Education Resource Center at Carleton College
Serc: How to Grow the Tallest Plant
In this lab activity students design an experiment controlling one variable with the goal of growing a plant taller than a control plant.
Illustrative Mathematics
Illustrative Mathematics: A Ced, a Rei Basketball
In this task, two brothers track how many games they have each won. Students are asked to make calculations based on the percentage of games won. They set up a rational equation (and a rational inequality) in one variable, and then solve...
Illustrative Mathematics
Illustrative Mathematics: A Rei, a Ced Cash Box
In this task, students are asked to construct equations in two variables to determine whether a loose coin beside a ticket box belongs with the money collected for tickets. They must then explain their reasoning. Aligns with A-CED.A and...
Illustrative Mathematics
Illustrative Mathematics: A Rei Pairs of Whole Numbers
The premise of this problem is simple - students must find three whole numbers with three different sums when they are added in pairs. To do this, they set up a system of linear equations in three variables. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Find a System
The purpose of this task is to encourage learners to think critically about both the algebraic and graphical interpretation of systems of linear equations. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: A Rei Quinoa Pasta 3
For this problem, students must determine how much of a quinoa-based gluten-free pasta is actually quinoa. They must study the ingredient list and set up linear equations to solve the problem. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Estimating a Solution via Graphs
The purpose of this task is to give learners an opportunity use quantitative and graphical reasoning to detect an error in a solution. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: The Intersection of Two Lines
The purpose of this task is to introduce students to systems of equations. It takes skills and concepts that students know up to this point, such as writing the equation of a given line, and uses it to introduce the idea that the...
Illustrative Mathematics
Illustrative Mathematics: A rei.c and a rei.a.1: Products and Reciprocals
The purpose of this task is to test student skills at converting verbal statements into two algebraic equations and then solving those equations. Aligns with A-REI.A.1 and A-REI.C.
Illustrative Mathematics
Illustrative Mathematics: A Rei Pythagorean Triples
This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.
Illustrative Mathematics
Illustrative Mathematics: A rei.c.7 & a rei.d.10: A Linear and Quadratic System
The purpose of this task is to give students the opportunity to make connections between equations and the geometry of the graphs. Aligns with A-REI.C.7and A-REI.D.10.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Dimes and Quarters
This task requires students to recognize the pairs of linear equations in two variables that would be used to solve a given system of equations. Aligns with A-CED.A.3.
Illustrative Mathematics
Illustrative Mathematics: A Sse Mixing Candies
This task about a box of chocolates has students use the given equations to answer questions about weight and price, as well as interpret the expressions in the equations. Aligns with A-SSE.A.1 and A-SSE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Taxi!
In this task, students explore the linear relationship between distance traveled and taxi fare cost. Aligns with A-REI.D.10 and F-LE.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.sp Us Airports, Assessment Variation
The scatter plot below shows the relationship between the number of airports in a state and the population of that state according to the 2010 Census. Each dot represents a single state. Students will explore the relationship between the...
Illustrative Mathematics
Illustrative Mathematics: 8.ee Summer Swimming
The local swim center is making a special offer. They usually charge $7 per day to swim at the pool. This month swimmers can pay an enrollment fee of $30 and then the daily pass will only be $4 per day. Aligns with 8.EE.C.8.c.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Quinoa Pasta 1
A type of pasta is made of a blend of quinoa and corn. The pasta company is not disclosing the percentage of each ingredient in the blend but we know that the quinoa in the blend contains 16.2% protein, and the corn in the blend contains...