Illustrative Mathematics
Illustrative Mathematics: A ced.a.1 & a rei.d.1: Intro. To Polynomials: College
This task serves as an introduction to polynomials or as an application after students are familiar with exponential functions. Aligns with A-REI.D.11.
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 young scholars 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 rei.c.6: Find a System
The purpose of this task is to encourage students 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.d.10: Collinear Points
This task leads young scholars through a series of problems which illustrate a crucial interplay between algebra and geometry. Aligns with A-REI.D.10.
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I
In this problem, students will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
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.b: Integer Solutions to Inequality
This task provides an instance of illustrating cluster without being limited to only linear equalities. Aligns with A-REI.B.
Illustrative Mathematics
Illustrative Mathematics: A Apr: Zeroes & Factorization: Non Polynomial
The goal of this task is to show via a concrete example that the property of polynomials is not shared by all functions when zero is involved. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: Counting by Tens
The objective of this lesson is to gain automaticity counting to 100 and to establish the importance of multiples of ten. This activity can be done several times a day as it is quick and requires no materials.
Illustrative Mathematics
Illustrative Mathematics: More and Less Handfuls
This is a good small group/pairs activity to practice counting. Each student grabs two handfuls of counters and counts them. The student then draws and records the quantity on a student-recording sheet (example included). Student...
Illustrative Mathematics
Illustrative Mathematics: A Rei: How Does the Solution Change?
The purpose of this task is to ask students to reason about solutions without explicitly solving them to get them to understand what it means for a number to be a solution to an equation. Aligns with A-REI.A.
Illustrative Mathematics
Illustrative Mathematics: A Rei: Braking Distance
The purpose of this task is to give an application arising from a real-world situation, determining braking distance, in which a quadratic equation arises. In this scenario, it is natural to use a graphical method to find an approximate...
Illustrative Mathematics
Illustrative Mathematics: Find the Numbers 0 5 or 5 10
This activity helps students practice number identification and is conducive to small groups/centers. Materials needed can be made from index cards and blank wooden cubes. Variations are included to make this activity simpler or harder...
Illustrative Mathematics
Illustrative Mathematics: Five by Two
This card game reinforces number identification and sequencing and is conducive to small groups/centers. The students will need a deck of playing cards including some of the face cards. Instructions and variations for play are included.
Illustrative Mathematics
Illustrative Mathematics: Number Line Up
Students will have fun moving around in this counting game. The teacher will create number cards and give one card to each student. Students will need to work together to order themselves in the correct number order. Multiple variations...
Illustrative Mathematics
Illustrative Mathematics: Number After Bingo 1 15
Students will play this Bingo by covering numbers that "come after" the number shown. Students will take turns drawing a number card, stating the number after and placing his/her counter on that number on the game board. The first...
Illustrative Mathematics
Illustrative Mathematics: Counting Circles
This active counting game gets the kids up and moving! Students form a circle and start counting around the circle one by one until the last number (chosen ahead of time by the teacher) in the sequence is reached. When the last number is...
Illustrative Mathematics
Illustrative Mathematics: Finding Equal Groups
This activity will test how quickly students can count objects. The teacher will assemble a variety of groups of objects in a few different forms (examples included). Students will race against the clock to sort the groups of objects...
Illustrative Mathematics
Illustrative Mathematics: A Ced.2 and G Gmd.4: Global Positioning System I
This question examines the algebraic equations for three different spheres. The intersections of each pair of spheres are then studied, both using the equations and thinking about the geometry of the spheres. Aligns with A-CED.A.2 and...
Illustrative Mathematics
Illustrative Mathematics: Counting Mat
Learners will practice counting and number identification with this activity which can be good for a math center. The teacher gives students the counting mat and many small objects to count with. Learners will read the numbers and...
Illustrative Mathematics
Illustrative Mathematics: Goody Bags
Students will practice counting with this small group activity - great for math stations! The teacher will pre-fill goodie bags with counting objects. Students count the objects, record the number on the post-it note and stick 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: 6.rp Games at Recess
Students use ratios to answer three questions based on a specific set of data in this performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Three, Variation 3
Students use simple ratios to answer the following question: John, Marie, and Will all ran for 6th grade class president. The ratio of votes for John to votes for Will was two to one. Marie got exactly the average number of votes for the...