The Story of Units

COMMON CORE

CC – counting and cardinality

OA – operations and algebraic thinking

MD – measurement and data

G – geometry

NBT – numbers in base ten

NF – numbers and operations – fractions

RP – ratios and proportions

NS – number system

EE – expressions and equations

SP – statistics and probability

ABBREVIATION

Shift 1: Focus

Shift 2: Coherence

Shift 3: Fluency

Shift 4: Deep understanding

Shift 5: Application

Shift 6: Dual intensity (practicing and comprehending)

INSTRUCTIONAL SHIFTS

CLUSTER: COUNT TO TELL THE NUMBER OF OBJECTS

K.CC.4 (standard)

Understand the relationship between numbers and quantities; connect to cardinality.

EXAMPLE FROM GRADE KMODULE 1: NUMBERS TO 10

1 2 3 4 5

CLUSTER: USE PLACE VALUE UNDERSTANDING AND PROPERTIES OF OPERATIONS TO ADD AND SUBTRACT

1.NBT.6 (standard)

Subtract multiples of 10 from multiples of 10 (positive or zero differences) using concrete models or drawings and

strategies based on place value

EXAMPLE FROM GRADE 1MODULE 6: PLACE VALUE,

COMPARISON, ADDITION AND SUBTRACTION TO 100

CLUSTER: REASON WITH SHAPES AND THEIR ATTRIBUTES

2.G.3 (standard)

Partition circles and rectangles into two, three, or four equal shares ...

Recognize that equal shares of identical wholes need not have the same shape.

EXAMPLE FROM GRADE 2MODULE 8: TIME, SHAPES, AND

FRACTIONS AS EQUAL PARTS OF SHAPES

CLUSTER: GEOMETRIC MEASUREMENT

3.MD.8 (standard)

Solve real world and mathematical problems involving perimeters of polygons ... and exhibiting rectangles with the same perimeter and different areas or with the same

area and different perimeters.

EXAMPLE FROM GRADE 3MODULE 7: GEOMETRY AND

MEASUREMENT WORD PROBLEMS

CLUSTER: USE THE FOUR OPERATIONS WITH WHOLE NUMBERS TO SOLVE PROBLEMS

4.OA.2 (standard)

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and

equations ... distinguishing multiplicative comparison from additive comparison.

For a $12-book Jim needs three times as much money as he has now. How much money does he have?

EXAMPLE FROM GRADE 4MODULE 7: EXPLORING

MULTIPLICATION

Additive comparison: For an $8-book Bob needs $3 more dollars than he has now.

5.NBT.7 (standard)

Add, subtract, multiply, and divide decimals to hundreds, using concrete models or drawings and strategies based on

place value, properties of operations ...

EXAMPLE FROM GRADE 5MODULE 1: PLACE VALUE AND

DECIMAL FRACTIONS

0.4×0.2=0.08

0.4÷0.2=2

CLUSTER: PERFORM OPERATIONS WITH ... DECIMALS TO HUNDREDS

CLUSTER: USE EQUIVALENT FRACTIONS AS A STRATEGY TO ADD AND SUBTRACT FRACTIONS

5.NF.2 (standard)

Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of

answers.

Estimate 3/7 using unit fractions as benchmark fractions.

3/7 < 3/6 = 1/2

3/7 > 2/6 = 1/3

Therefore, 1/3 < 3/7 < 1/2

EXAMPLE FROM GRADE 5MODULE 3: ADDITION AND

SUBTRACTION OF FRACTIONS