Illustrative Mathematics
Illustrative Mathematics: 6.g Computing Volume Progression 4
The purpose of this fourth task in a series of four is to find the volume of an irregular 3D solid by using Archimedes' Principle. Students must calculate the volume of the displaced water in a rectangular prism tank in order to solve...
Illustrative Mathematics
Illustrative Mathematics: 6.g Computing Volume Progression 3
The purpose of this third task in a series of four is to find the height of water in a rectangular prism tank when the volume is known. All units are metric. Aligns with 6.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 6.g Computing Volume Progression 2
The purpose of this second task in a series of four is to find the volume of a rectangular prism when unit cubes are omitted from the drawing. This makes it more abstract. Aligns with 6.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 6.g Computing Volume Progression 1
The purpose of this first task in a series of four is to see the relationship between the side lengths of a cube and its volume. Aligns with 6.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Dan's Division Strategy
The purpose of this task is to help students explore the meaning of fraction division and to connect it to what they know about whole-number division. Aligns with 6.NS.A.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Distances Between Points
The purpose of this task is for students to find the distance between points that lie in all four quadrants of the coordinate plane. Aligns with 6.NS.C.8.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Above and Below Sea Level
The purpose of this task is to help students interpret signed numbers in a context as a magnitude and a direction and to make sense of the absolute value of a signed number as its magnitude. Aligns with 6.NS.C.7.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Comparing Temperatures
This task has students do computations with positive and negative numbers in the context of temperature. Aligns with 6.NS.C.7.b.
Illustrative Mathematics
Illustrative Mathematics: 6.ns It's Warmer in Miami
This task has students do simple computations with positive and negative numbers in the context of temperature differences. Aligns with 6.NS.C.5.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Buying Gas
This is a decimal division problem about the cost of a gallon of gas. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Jayden's Snacks
This is a simple task that checks students' understanding of decimal operations by having them do computations with money. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Bake Sale
This task asks students to apply the concepts of factors and common factors in a real-world context. Aligns with 6.NS.B.4.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Adding Multiples
This task will provide insight to teachers on students' level of understanding when reasoning about a problem. The task asks students to examine whether the sum of two numbers that are multiples of 6 produces another multiple of 6....
Illustrative Mathematics
Illustrative Mathematics: 6.ns Factors and Common Factors
This task asks students to apply the concepts of factors, common factors, and the greatest common factor in an abstract context. Aligns with 6.NS.B.4.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Running to School, Variation 2
This is a simple fraction division problem that can be solved using drawings and/or arithmetic. Aligns with 6.NS.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Running to School, Variation 3
This task provides a simple introduction to the concept of fraction division. Aligns with 6.NS.A.
Illustrative Mathematics
Illustrative Mathematics: 6.ns How Many Containers in 1 Cup/cups in 1 Container?
In this task, 6th graders solve two fraction division problems by drawing pictures, interpreting them, identifying equations that represent each problem, and verifying that the equations give the same answers as the pictures. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: 6.ns Making Hot Cocoa, Variation 1
In this task, 6th graders solve a fraction division problem by drawing a picture, interpreting it, identifying an equation that represents the problem, and verifying that the equation gives the same answer as the picture. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: 6.ns Jumping Flea
In this task, 6th graders examine where numbers are on a number line in relation to zero and what we mean by absolute value. Aligns with 6.NS.C.7.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Fractions on the Number Line
In this task, 6th graders locate positive and negative fractions on a number line, determine if some inequalities are true, and compare fractions for their closeness to zero. Aligns with 6.NS.C.7.a.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Multiplication, Division and Place Value, Part 2
Sixth graders are asked to examine equations involving decimal numbers and to place the decimal point in the answers so that the equations are accurate, and to explain their reasoning. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Multiplication, Division and Place Value, Part 1
Sixth graders are presented with a completed multiplication equation and are asked to use it to find the answers to seven other equations. To do this, they must use their reasoning and estimation skills. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Interpreting a Division Computation
Sixth graders are shown the arithmetic for a multi-digit division problem and are asked to use it to find the products of related multiplication questions. Aligns with 6.NS.B.2.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Video Game Credits
Sixth graders solve problems requiring fraction division in this task about video game credits. Aligns with 6.NS.A.1.