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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 LineSaffron [email protected]
Real Possibilities: The Versatility of the Number Line 2 of 21 © 2015 Great MindsEureka Math
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.”
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
eureka-math.org 844 853 1010
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