Illustrative Mathematics
Illustrative Mathematics: 3.nf Naming the Whole for a Fraction
When fractions are represented pictorially, they are always fractions of some whole.
Illustrative Mathematics
Illustrative Mathematics: 3.nf Jon and Charlie's Run
The purpose of this task is to present students with a context where they need to explain why two simple fractions are equivalent and are most appropriate for instruction. Students can illustrate the fact that the two fractions are...
Illustrative Mathematics
Illustrative Mathematics: A Sse Mixing Fertilizer
A landscaping company prepares two mixtures of fertilizer. In this task, students investigate what happens to the value of an expression when a quantity is changed. Aligns with A-SSE.A.1 and A-SSE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: 2.nbt One, Ten, and One Hundred More and Less
In this lesson plan students will understand place value using addition and subtraction.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Music Companies, Variation 1
This lesson plan has students determine the unit rate and then determine the cost.
Illustrative Mathematics
Illustrative Mathematics: 2.nbt Making 124
This complete lesson plans has students determine how to make a number using hundreds, tens, and ones.
Illustrative Mathematics
Illustrative Mathematics: 2.nbt Regrouping
In this lesson plan students use regrouping to explore place value.
Illustrative Mathematics
Illustrative Mathematics: 1.oa Measuring Blocks
This is a complete lesson plan that has students explore how to measure length using blocks.
Illustrative Mathematics
Illustrative Mathematics: 7.ee Sports Equipment Set
In this lesson, 7th graders write and solve an inequality to solve the problem.
Illustrative Mathematics
Illustrative Mathematics: 1.oa Kiri's Mathematics Match Game
In this lesson plan, 1st graders play a matching game to explore unknown numbers.
Illustrative Mathematics
Illustrative Mathematics: 7.ns Rounding and Subtracting
This lesson plan has students subtract and round rational numbers.
Illustrative Mathematics
Illustrative Mathematics: 6.g Same Base and Height, Variation 1
Make the following triangles on a geoboard. Remember that the pegs are equally spaced in a square grid. Compare the areas of the triangles. Aligns with 6.G.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.ee Triangular Tables
This task provides a good opportunity for group work and class discussions where students generate and compare equivalent expressions. In class discussion, students should be asked to connect the terms of an expression with quantities...
Illustrative Mathematics
Illustrative Mathematics: Reasoning About Multiplication
This is a good task to work with kids to try to explain their thinking clearly and precisely, although teachers should be willing to work with many different ways of explaining the relationship between the magnitude of the factors and...
Illustrative Mathematics
Illustrative Mathematics: 5.nf Do These Add Up?
This task addresses common errors that students make when adding fractions. Aligns with 5.NF.A.2.
Illustrative Mathematics
Illustrative Mathematics: 6.ee Rectangle Perimeter 2
This task is a natural follow up for task Rectangle Perimeter 1. After thinking about and using one specific expression for the perimeter of a rectangle, they now extend their thinking to equivalent expressions for the same quantity....
Illustrative Mathematics
Illustrative Mathematics: 6.ee Firefighter Allocation
In this students are asked to write an equation to solve a real-world problem. There are two natural approaches to this task. In the first approach, students have to notice that even though there is one variable, namely the number of...
Illustrative Mathematics
Illustrative Mathematics: 6.ee Rectangle Perimeter 1
This tasks gives a verbal description for computing the perimeter of a rectangle and asks the students to find an expression for this perimeter. They then have to use the expression to evaluate the perimeter for specific values of the...
Illustrative Mathematics
Illustrative Mathematics: Connor and Makayla Discuss Multiplication
The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and use this burgeoning understanding of fraction multiplication to make sense of the commutative property of multiplication in...
Illustrative Mathematics
Illustrative Mathematics: Making Cookies
This tasks lends itself very well to multiple solution methods. Students may learn a lot by comparing different methods. Students who are already comfortable with fraction multiplication can go straight to the numeric solutions given...
Illustrative Mathematics
Illustrative Mathematics: Multiplying Decimals by 10
The purpose of this task is to help students understand and explain why multiplying a decimal number by 10 shifts all the digits one place to the left. This understanding builds on work around place-value that students have done with...
Illustrative Mathematics
Illustrative Mathematics: Using Operations and Parentheses
The purpose of this task is to give students a chance to work creatively with three of the four fundamental arithmetic operations (addition, subtraction, and multiplication). It is well suited for helping students develop fluency with...
Illustrative Mathematics
Illustrative Mathematics: 7.rp.3 Lincoln's Math Problem
The purpose of this task is for students to solve a multi-step problem involving simple interest. The Aligns with 7.RP.A.3. The task provides both a problem and the solution.
Illustrative Mathematics
Illustrative Mathematics: Measuring Cups
This task could form part of a classroom activity where students are encouraged to find as many different ways as possible to make different fractions such as 1/12 and then share their methods. While measuring cups would be helpful to...