Illustrative Mathematics
Illustrative Mathematics: 3.nf Which Is Closer to 1?
Students find which is closer to 1 on the number line, 4/5 or 5/4. Aligns with 3.NF.A.2/CCSS.Math.Content.3.NF.A.1 Standard 2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.
Illustrative Mathematics
Illustrative Mathematics: 3.nf Closest to 1/2
Students find which number is closest to 1/2. Aligns with 3.NF.A.2/CCSS.Math.Content.3.NF.A.1 Standard 2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.
Illustrative Mathematics
Illustrative Mathematics: 3.nf Find 1 (On the Number Line)
The purpose of this task is to assess whether students understand fractions as being built from unit fractions and whether they can accurately locate fractions on the number line. Aligns with 3.NF.A.2/CCSS.Math.Content.3.NF.A.1 Standard...
Illustrative Mathematics
Illustrative Mathematics: Locating Fractions Less Than One on the Number Line
In every part of this task, students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s). Aligns with 3.NF.A.2,...
Illustrative Mathematics
Illustrative Mathematics: 3.nf Find 7/4 Starting From 1, Assessment Variation
Students find 7/4 starting from 1. Aligns with 3.NF.A.2; CCSS.Math.Content.3.NF.A.2.a Represent a fraction 1/b on a number line diagram
Illustrative Mathematics
Illustrative Mathematics: 3.nf Find 1/4 Starting From 1, Assessment Version
The number line below shows two numbers, 0 and 1. Students find 1/4 on this number line. Aligns with 3.NF.A.2; CCSS.Math.Content.3.NF.A.2.a Represent a fraction 1/b on a number line diagram
Illustrative Mathematics
Illustrative Mathematics: 3.nf Find 1 Starting From 5/3, Assessment Variation
This is the third of three summative assessment tasks for 3.NF.2 that progress in difficulty. Each requires that students understand a fraction as a number on the number line and represent fractions on a number line diagram. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: 4.oa Identifying Multiples
The goal of this task is to work on finding multiples of some whole numbers. Aligns with 4.OA.B.
Illustrative Mathematics
Illustrative Mathematics: 4.oa the Locker Game
The purpose of this instructional task is for students to deepen their understanding of factors and multiples of whole numbers. Aligns with 4.OA.B.4.
Illustrative Mathematics
Illustrative Mathematics: 4.oa Numbers in a Multiplication Table
The goal of this task is to encourage students to study the multiplication table, a familiar object, from a novel point of view. Aligns with 4.OA.B.
Illustrative Mathematics
Illustrative Mathematics: 4.oa Multiples of 3, 6, and 7
This task investigates divisibility properties for the numbers 3, 6, and 7. Aligns with 4.OA.C.
Illustrative Mathematics
Illustrative Mathematics: 4.oa Multiples of Nine
This task examines the interesting fact that when a number is divisible by 9 then the sum of its digits is also divisible by 9. Aligns with 4.OA.C.5.
Illustrative Mathematics
Illustrative Mathematics: 3.md Finding the Area of Polygons
The purpose of this instructional task is for students to find the area of figures that can be decomposed and then recomposed into rectangles. Aligns with 3.MD.C.6. CCSS.Math.Content.3.MD.C.7.d Recognize area as additive.
Illustrative Mathematics
Illustrative Mathematics: 3.md, 3.g, 3.nf Halves, Thirds, and Sixths
The purpose of this task is for students to use their understanding of area as the number of square units that covers a region, to recognize different ways of representing fractions with area, and to understand why fractions are...
Illustrative Mathematics
Illustrative Mathematics: 3.g Geometric Pictures of One Half
This task presents students with some creative geometric ways to represent the fraction one half. Aligns with 3.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 3.g Representing Half of a Circle
This task asks which pictures represent half of a circle? Moving into more complex shapes where geometric arguments about cutting or work using simple equivalences of fractions is required to analyze the picture. Aligns with 3.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 3.nbt Rounding to 50 or 500
Students explore different rounding scenarios. Aligns with CCSS.Math.Content.3.NBT.A.1 Use place value understanding to round whole numbers to the nearest 10 or 100.
Illustrative Mathematics
Illustrative Mathematics: 3.md the Square Counting Shortcut
This is a rectangle subdivision task; ideally instead of counting each square. students should break the letters into rectangles, multiply to find the areas, and add up the areas. Aligns with 3.MD.C: CCSS.Math.Content.3.MD.C.6 Measure...
Illustrative Mathematics
Illustrative Mathematics: 3.md Three Hidden Rectangles
The purpose of this task is for students to decompose a figure into rectangles and then find the total area by adding the area of all of its smaller, non-overlapping rectangles. Aligns with 3.MD.C.7.d.
Illustrative Mathematics
Illustrative Mathematics: 3.nbt, 4.nbt Rounding to the Nearest 100 and 1000
This task builds off of the skill of rounding to the nearest ten and hundred in third grade. Aligns with CCSS.Math.Content.3.NBT.A.1 Use place value understanding to round whole numbers to the nearest 10 or 100.
Illustrative Mathematics
Illustrative Mathematics: 3.nbt Rounding to the Nearest Ten and Hundred
The purpose of this task is for students to practice rounding numbers to the nearest ten, connect the rules for rounding with location on the number line, and to introduce the idea of rounding to the nearest 100. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: 3.nf Find 2/3
This simple-looking problem reveals much about how well students understand unit fractions as well as representing fractions on a number line. Aligns with 3.NF.A.2/CCSS.Math.Content.3.NF.A.2.a Represent a fraction 1/b on a number line...
Illustrative Mathematics
Illustrative Mathematics: 3.md Shapes and Their Insides
The purpose of this task is to help students differentiate between a polygon and the region inside of a polygon so that they understand what is being measured when the perimeter and area are being found. Aligns with 3.MD.D.
Illustrative Mathematics
Illustrative Mathematics: 3.nbt How Many Colored Pencils?
The purpose of this task is to support students' reasoning based on place value to multiply a single digit number by a multiple of 10. Aligns with 3.NBT.A.3.