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Illustrative Mathematics

Illustrative Mathematics: 4.nf Doubling Numerators and Denominators

For Teachers 3rd - 5th Standards
The purpose of this task is to assess whether students understand the meaning of the numerator and the denominator in a fraction. This task is not appropriate for a high-stakes summative assessment, but it could be very helpful in...
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Illustrative Mathematics

Illustrative Mathematics: 4.nf Money in the Piggy Bank

For Teachers 3rd - 5th Standards
Alicia opened her piggy bank and counted the coins inside. Here is what she found: Aligns with 4.NF.A.
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Illustrative Mathematics

Illustrative Mathematics: 4.md,g Measuring Angles

For Teachers 3rd - 5th Standards
The purpose of this task is to gain experience drawing and measuring angles, developing an understanding of the additive structure of angles. Aligns with 4.MD.C.7.
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Illustrative Mathematics

Illustrative Mathematics: 4.oa, Md Karl's Garden

For Teachers 3rd - 5th Standards
The purpose of the task is for students to solve a multi-step multiplication problem in a context that involves area. Aligns with 4.MD.A.3.
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Illustrative Mathematics

Illustrative Mathematics: 4.md Margie Buys Apples

For Teachers 3rd - 5th Standards
This task gives students an opportunity to work with familiar fractions and decimals in a context involving money. Aligns with 4.MD.A.2.
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Illustrative Mathematics

Illustrative Mathematics: 4.g Finding Lines of Symmetry

For Teachers 3rd - 5th Standards
The purpose of this task is for students to identify figures that have line symmetry and draw appropriate lines of symmetry. Aligns with 4.G.A.3.
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Illustrative Mathematics

Illustrative Mathematics: 4.nbt Ordering 4 Digit Numbers

For Teachers 3rd - 5th Standards
It is common for students to compare multi-digit numbers just by comparing the first digit, then the second digit, and so on. This task includes three-digit numbers with large hundreds digits and four-digit numbers with small thousands...
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Illustrative Mathematics

Illustrative Mathematics: 4.nbt What's My Number?

For Teachers 3rd - 5th Standards
The purpose of this task is for students to reason about base-ten numbers on the number line in a way that will require them to use what they know about place value. Students first represent addition and subtraction on the number line in...
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Illustrative Mathematics

Illustrative Mathematics: 4.nbt.1 Threatened and Endangered

For Teachers 3rd - 5th Standards
Maned wolves are a threatened species that live in South America. People estimate that there are about 24,000 of them living in the wild. Aligns with 4.NBT.A.1.
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Illustrative Mathematics

Illustrative Mathematics: 4.nbt Millions and Billions of People

For Teachers 3rd - 5th Standards
The purpose of this task is to help students understand the multiplicative relationship between commonly used large numbers (thousands and millions) by using their understanding of place value. Aligns with 4.NBT.A.1.
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Illustrative Mathematics

Illustrative Mathematics: 4.nbt Rounding to the Nearest 1000

For Teachers 3rd - 5th Standards
The purpose of this task is for students to estimate the position of numbers less than 10,000 on the number line, to practice rounding, and to make the connection between rounding and location on the number line. Aligns with 4.NBT.A.3.
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Illustrative Mathematics

Illustrative Mathematics: 4.nbt Mental Division Strategy

For Teachers 3rd - 5th Standards
Jillian says Aligns with 4.NBT.B.6.
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Illustrative Mathematics

Illustrative Mathematics: 4.md Who Is the Tallest?

For Teachers 3rd - 5th Standards
This task provides a context for translating between different units.Aligns with 4.MD.A.1.
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Illustrative Mathematics

Illustrative Mathematics: 4.nbt to Regroup or Not to Regroup

For Teachers 3rd - 5th Standards
Sometimes when we subtract one number from another number we "regroup," and sometimes we don't. For example, if we subtract 38 from 375, we can "regroup" by converting a ten to 10 ones: Aligns with 4.NBT.B.
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Illustrative Mathematics

Illustrative Mathematics: 4.g Lines of Symmetry for Circles

For Teachers 3rd - 5th Standards
Mr. Watkins asked his students to draw a line of symmetry for a circle with center $O$ pictured below: Aligns with 4.G.A.3.
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Illustrative Mathematics

Illustrative Mathematics: 4.md, 5.md Button Diameters

For Teachers 3rd - 5th Standards
The purpose of this task is for students to measure lengths to the nearest eighth and quarter-inch and to record that information in a line plot. Aligns with 4.MD.B.4 and CCSS.Math.Content.3.MD.B.4 Generate measurement data by measuring...
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Illustrative Mathematics

Illustrative Mathematics: 4.nf Sugar in Six Cans of Soda

For Teachers 3rd - 5th Standards
This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number. Aligns with 4.NF.B.4.c.
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Illustrative Mathematics

Illustrative Mathematics: 4.nf Comparing Two Different Pizzas

For Teachers 3rd - 5th Standards
The focus of this task is on understanding that fractions, in an explicit context, are fractions of a specific whole. Aligns with 4.NF.B.
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Illustrative Mathematics

Illustrative Mathematics: 4.oa Comparing Growth, Variation 2

For Teachers 3rd - 5th Standards
The purpose of this task is to assess students' understanding of multiplicative and additive reasoning. Aligns with CCSS.Math.Content.4.OA.A.1 Interpret a multiplication equation as a comparison
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Illustrative Mathematics

Illustrative Mathematics: 4.oa Comparing Growth, Variation 1

For Teachers 3rd - 5th Standards
The purpose of this task is to foster a classroom discussion that will highlight the difference between multiplicative and additive reasoning. Aligns with CCSS.Math.Content.4.OA.A.1 Interpret a multiplication equation as a comparison
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Illustrative Mathematics

Illustrative Mathematics: 4.nf Using Place Value

For Teachers 3rd - 5th Standards
Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and...
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Illustrative Mathematics

Illustrative Mathematics: 4.nf Fraction Equivalence

For Teachers 3rd - 5th Standards
Draw a picture to illustrate explaining fraction equivalences. Aligns with 4.NF.C.5.
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Illustrative Mathematics

Illustrative Mathematics: 4.nf Dimes and Pennies

For Teachers 3rd - 5th Standards
Find the fraction of a dollar is dimes and pennies & write your answer in both fraction and decimal form. Aligns with 4.NF.C.5.
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Illustrative Mathematics

Illustrative Mathematics: 4.nf Expanded Fractions and Decimals

For Teachers 3rd - 5th Standards
The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways. Aligns with 4.NF.C.5.