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Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 1 eureka-math.org 844 853 1010 Real Possibilities: The Versatility of the Number Line Saffron VanGalder [email protected] Real Possibilities: The Versatility of the Number Line 2 of 21 © 2015 Great Minds Eureka Math

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Page 1: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 1

eureka-math.org 844 853 1010

Real Possibilities:The Versatility of the Number LineSaffron [email protected]

Real Possibilities: The Versatility of the Number Line 2 of 21 © 2015 Great MindsEureka Math

Page 2: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 2

Real Possibilities: The Versatility of the Number Line 3 of 21 © 2015 Great MindsEureka Math

Real Possibilities: The Versatility of the Number Line 4 of 21 © 2015 Great MindsEureka Math

Why?

“The simplest version of a measurement model is the number line. This is the most useful model in all of mathematics! In fact, the number line is the only model that continues to work as elementary mathematics progresses through whole numbers, fractions, and on to negative, rational, and irrational numbers.”

Page 3: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 3

Real Possibilities: The Versatility of the Number Line 5 of 21 © 2015 Great MindsEureka Math

2.MD.6

CCSS4.MD.2

3.NF.2

Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, ..., and represent whole-number sums and differences within 100 on a number line diagram.

Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Real Possibilities: The Versatility of the Number Line 6 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

GK-M1-L23 and L26

Page 4: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 4

Real Possibilities: The Versatility of the Number Line 7 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

vs.

Real Possibilities: The Versatility of the Number Line 8 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

Page 5: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 5

Real Possibilities: The Versatility of the Number Line 9 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

Real Possibilities: The Versatility of the Number Line 10 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

Page 6: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 6

Real Possibilities: The Versatility of the Number Line 11 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

G1-M1-L26 and L27

9 – 8 = ____

8 + ____ = 9

Real Possibilities: The Versatility of the Number Line 12 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

G1-M4-L19

G2-M2-L9

Page 7: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 7

Real Possibilities: The Versatility of the Number Line 13 of 21 © 2015 Great MindsEureka Math

Number Line Foundations

Real Possibilities: The Versatility of the Number Line 14 of 21 © 2015 Great MindsEureka Math

Whole Numbers on the Number Line

G2-M7-L21

Page 8: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 8

Real Possibilities: The Versatility of the Number Line 15 of 21 © 2015 Great MindsEureka Math

Fractions on the Number Line

G3-M5-L14

Real Possibilities: The Versatility of the Number Line 16 of 21 © 2015 Great MindsEureka Math

Decimals on the Number Line

G4-M6-L1

Page 9: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 9

Real Possibilities: The Versatility of the Number Line 17 of 21 © 2015 Great MindsEureka Math

Comparing Numbers

Real Possibilities: The Versatility of the Number Line 18 of 21 © 2015 Great MindsEureka Math

Comparing Numbers

G3-M5-L18

Page 10: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 10

Real Possibilities: The Versatility of the Number Line 19 of 21 © 2015 Great MindsEureka Math

Comparing Numbers

G4-M5-L12

Real Possibilities: The Versatility of the Number Line 20 of 21 © 2015 Great MindsEureka Math

Comparing Numbers

G4-M5-L11

Page 11: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 11

Real Possibilities: The Versatility of the Number Line 21 of 21 © 2015 Great MindsEureka Math

Comparing Numbers

G4-M6-L10

Real Possibilities: The Versatility of the Number Line 22 of 21 © 2015 Great MindsEureka Math

Operations

Page 12: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 12

Real Possibilities: The Versatility of the Number Line 23 of 21 © 2015 Great MindsEureka Math

Time

G3-M2-L4

Real Possibilities: The Versatility of the Number Line 24 of 21 © 2015 Great MindsEureka Math

Time

G3-M2-L4

Page 13: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 13

Real Possibilities: The Versatility of the Number Line 25 of 21 © 2015 Great MindsEureka Math

Rounding

Real Possibilities: The Versatility of the Number Line 26 of 21 © 2015 Great MindsEureka Math

Rounding

G3-M2-L13

Page 14: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 14

Real Possibilities: The Versatility of the Number Line 27 of 21 © 2015 Great MindsEureka Math

Rounding

G4-M1-L9

Real Possibilities: The Versatility of the Number Line 28 of 21 © 2015 Great MindsEureka Math

Rounding

G5-M1-L7

Page 15: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 15

Real Possibilities: The Versatility of the Number Line 29 of 21 © 2015 Great MindsEureka Math

G3-M6-L4

Data

Real Possibilities: The Versatility of the Number Line 30 of 21 © 2015 Great MindsEureka Math

Data

G3-M6-L8

Page 16: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 16

Real Possibilities: The Versatility of the Number Line 31 of 21 © 2015 Great MindsEureka Math

Coordinate Plane

G5-M6-L2

Real Possibilities: The Versatility of the Number Line 32 of 21 © 2015 Great MindsEureka Math

What’s next?

G6-M3-L1

Page 17: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 17

Real Possibilities: The Versatility of the Number Line 33 of 21 © 2015 Great MindsEureka Math

What’s next?

G7-M2-L2

Real Possibilities: The Versatility of the Number Line 34 of 21 © 2015 Great MindsEureka Math

What’s next?

G9-M3-L11

Page 18: Real Possibilities - The Versatility of the Number Line€¦ · Real Possibilities: The Versatility of the Number Line NCTM 2015 ©2015. Duplication and/or distribution of this material

Real Possibilities: The Versatility of the Number Line

NCTM 2015

©2015.  Duplication and/or distribution of this material is prohibited without written consent from Great Minds. 18

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