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K.2.1
Numbers, Number Systems and Number Relationships
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K.2.1.BI
Mathematic knowledge is built in the areas of numbers and operations by organizing, representing and comparing numbers.
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K.2.1.EQ
Why do I need to be able to count objects? How do I use numbers every day? How can I record what I count?
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K.2.1.1
Count and Compare Numbers
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K.2.1.1.a
Rote count by whole numbers to 100 by ones
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K.2.1.1.b
Attempt to count by tens along with an adult
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K.2.1.1.c
Read and write whole numbers 0 - 20
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K.2.1.1.d
Count up to 20 objects using one to one correspondence
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K.2.1.1.e
Use basic numbers and counting
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K.2.1.1.f
Use vocabulary independently to compare number of objects
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K.2.1.1.g
Tell what number comes before or after (up to 20)
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K.2.1.2
Represent Numbers in Equivalent Forms
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K.2.1.2.a
Use concrete objects to represent quantities up to and including twenty
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K.2.1.2.b
Identify penny, nickel, dime
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K.2.1.2.c
Represent equivalent forms of the same number through the use of concrete objects and drawings up to and including 20
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K.2.1.3
Concepts of Numbers and Relationships
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K.2.1.3.a
Use concrete objects to separate a set into two equal parts
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K.2.1.3.b
Group objects into sets of ten
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K.2.1.3.c
Use ordinal number words to describe the position of objects
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K.2.1.3.d
Match numerals to sets of objects
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K.2.1.4
Place value
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K.2.1.4.a
Practice regrouping ones to tens with adult assistance
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K.2.1.6
Concepts and Applications of Operations
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K.2.1.6.a
Analyze numbers
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K.2.1.6.b
Visually quantify zero to five objects
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K.2.1.6.c
Solve word problems using concrete objects independently
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K.2.1.6.d
Create a sorting method
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K.2.2
Computation and Estimation
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K.2.2.BI
Students link concepts and procedures as they develop and use computational techniques, including estimation and mental arithmetic, to seek reasonable answers.
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K.2.2.EQ
How do I estimate? How do I build knowledge through problem solving?
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K.2.2.1
Fluency in Basic Facts
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K.2.2.1.a
Practice reading number sentences with adult
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K.2.2.2
Computation
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K.2.2.2.a
Separate concrete objects into groups
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K.2.2.2.b
Represent addition and subtraction in every day situations using up to ten concrete objects
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K.2.2.2.c
Use "counting on" as a strategy for determining the sum
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K.2.2.2.d
Explain the results of joining and separating sets of objects up to and including 10 using math vocabulary
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K.2.2.2.e
Use counting backwards as a strategy for finding a difference in the numbers 1 - 10
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K.2.2.4
Numerical Estimation
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K.2.2.4.a
Estimate how many objects are in a set/group up to and including twenty objects
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K.2.2.4.b
Check estimate by counting the number of objects
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K.2.3
Measurement and Estimation
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K.2.3.BI
Learners will identify attributes, units or systems of measurement and apply a variety of tools to explore the distance, weight, length, height, time and temperature of objects.
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K.2.3.EQ
What do I understand about the measurement? How can I group objects according to common properties? What can I discover about quantities of objects?
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K.2.3.1
Concepts of Measurement
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K.2.3.1.a
Measure objects
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K.2.3.1.b
Practice measuring calendar time using appropriate vocabulary with scaffolding
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K.2.3.1.c
Demonstrate understanding of number conservation
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K.2.3.2
Units and Tools of Measurement
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K.2.3.2.a
Estimate and measure objects using nonstandard units
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K.2.3.2.b
Determine the length and height of objects with nonstandard units
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K.2.3.2.c
Practice naming the instruments used for measuring time, length, weight, volume, and temperature
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K.2.3.2.d
Order events based on time
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K.2.3.3
Calculations
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K.2.3.3.a
Analyze charts and graphs of objects with assistance and support from adult
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K.2.3.4
Conversions
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K.2.3.4.a
Compare two objects using direct comparison
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K.2.3.4.b
Group objects according to common properties
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Sorting, ordering, and classifying: Same (Kindergarten - N.1)
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Sorting, ordering, and classifying: Different (Kindergarten - N.2)
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Sorting, ordering, and classifying: Same and different (Kindergarten - N.3)
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Sorting, ordering, and classifying: Classify by color (Kindergarten - N.4)
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Sorting, ordering, and classifying: Venn diagrams (Kindergarten - N.5)
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K.2.3.6
Measurement and Estimation
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K.2.3.6.a
Practice using measurement vocabulary when comparing
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K.2.3.6.b
Practice estimating distance/length/ weight based on experience
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K.2.4
Mathematical Reasoning and Connections
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K.2.4.BI
Learners use inductive and deductive reasoning to make, check and verify predictions and to develop connections.
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K.2.4.EQ
Why do I think my estimation is appropriate? How do I decide what connection there are between object?
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K.2.4.1
Reasoning
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K.2.4.1.a
Verify predictions and solutions about environmental objects
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K.2.4.2
Connections
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K.2.4.2.a
Identify connections between objects to help with problem solving
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K.2.5
Mathematical Problem Solving and Communication
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K.2.5.BI
Learners solve and interpret results in various ways.
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K.2.5.EQ
How do I apply a variety of concepts, processes and skills to solve problems? How do I communicate ideas or solutions with mathematical concepts? How do I present mathematical ideas using words, symbols visual display or technology?
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K.2.5.1
Problem Solving
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K.2.5.1.a
Identify and analyze a problem for possible solutions
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K.2.5.1.b
Seek information through observation, exploration and conversations
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K.2.5.2
Communication
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K.2.5.2.a
Communicate the findings from the problem solving process using math vocabulary
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K.2.5.2.b
Depict problem solving process through the use of pictures, simple chart or graph
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K.2.6
Statistics and Data Analysis
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K.2.6.BI
Learners collect, represent and analyze to answer questions, solve problems and make predictions.
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K.2.6.EQ
How do I collect data? How do I explore and display data? How do I talk about the data? What patterns can I create and describe?
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K.2.6.1
Collection of Data
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K.2.6.1.a
Gather, organize and display data on a bar graph and/or pictograph independently
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K.2.6.1.b
Gather data in response to questions posed to learners
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K.2.6.2
Organization and Display of Data
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K.2.6.2.a
Organize and display objects by one or more attributes
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Sorting, ordering, and classifying: Same (Kindergarten - N.1)
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Sorting, ordering, and classifying: Different (Kindergarten - N.2)
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Sorting, ordering, and classifying: Same and different (Kindergarten - N.3)
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Sorting, ordering, and classifying: Classify by color (Kindergarten - N.4)
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Sorting, ordering, and classifying: Venn diagrams (Kindergarten - N.5)
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Data and graphs: Making graphs (Kindergarten - O.1)
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K.2.6.2.b
Practice explaining organization of data
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K.2.6.2.c
Create various types of graphs cooperatively with an adult and with other children
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K.2.6.3
Numerical Summaries
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K.2.6.3.a
Compare groups of one to ten objects to determine more or less
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K.2.6.3.b
Answer questions based on data shown on graphs or charts
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K.2.6.5
Interpretation of Data
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K.2.6.5.a
Draw conclusions about information shown on a graph or chart
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K.2.7
Probability and Predictions
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K.2.7.BI
Learners develop and evaluate predictions that are based on knowledge and data.
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K.2.7.EQ
What words can I use to describe what is on the graph? How do I predict what will come next? What predictions can I make? How accurate will my predictions be?
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K.2.7.1
Calculate Probabilities
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K.2.7.1.a
Predict the probability of an event
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K.2.7.2
Prediction of Outcomes
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K.2.7.2.a
Predict outcomes of events
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K.2.7.3
Representations of Probabilities
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K.2.7.3.a
Complete a simple graph to make selection with little or no assistance
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K.2.7.4
Display Simple Spaces
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K.2.7.4.a
Create a graph or chart and describe the contents
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K.2.7.5
Compare Theoretical and Experimental Probabilities
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K.2.7.5.a
Answer questions based on data
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K.2.8
Algebra and Functions
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K.2.8.BI
Learners discover how objects are related to each other using models, patterns and functions involving numbers, shapes, and graphs in problem solving situations.
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K.2.8.EQ
How do I respond to routines? How do I use manipulatives to show relationships? What patterns can I create and describe?
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K.2.8.1
Algebraic Properties
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K.2.8.1.a
Compare concrete objects to show equal or not equal
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K.2.8.2
Algebraic Manipulations
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K.2.8.2.a
Recreate a simple story problem using manipulatives
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K.2.8.2.b
Explain story problem solutions
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K.2.8.2.c
Identify the purposes for different mathematical symbols with scaffolding
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K.2.8.3
Patterns
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K.2.8.3.a
Recognize, describe, extend and transfer patterns
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K.2.8.3.b
Reproduce an existing pattern and verbalize the pattern
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K.2.8.3.c
Identify and create complex patterns using numerous objects
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K.2.8.4
Functions
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K.2.8.4.a
Practice using concrete objects or pictures to represent a number story that involves a missing addend with adult assistance
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K.2.8.5
Modeling
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K.2.8.5.a
Create a math story from a picture
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K.2.8.6
Interpret Results of Modeling
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K.2.8.6.a
Describe data on classroom graphs using numerical math language
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K.2.9
Geometry
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K.2.9.BI
Children identify, name and describe a variety of shapes that are presented in many ways.
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K.2.9.EQ
What makes shapes different from each other? What shapes can we see in our environment? How do shapes fit together and come apart? How an I position shapes in my environment?
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K.2.9.1
Definitions, Properties and Relations
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K.2.9.1.a
Identify and name common two- and three-dimensional geometric shapes
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K.2.9.1.b
Compare the attributes of shapes
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K.2.9.1.c
Sort geometric figures according to common attributes
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K.2.9.2
Transformations and Symmetry
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K.2.9.2.a
Explore symmetry in nature
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K.2.9.2.b
Identify a reflection
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K.2.9.2.c
Create an example of symmetry independently
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K.2.9.3
Coordinate Geometry
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K.2.9.3.a
Practice using directionality independently
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K.2.9.3.b
Use position words to describe the location of objects
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K.2.11
Calculus
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K.2.11.BI
Living objects grow and move at different rates.
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K.2.11.EQ
How do I know how fast one thing grows or moves?
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K.2.11.1
Extreme Values
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K.2.11.1.a
Order whole numbers (0-20) from least to greatest value
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K.2.11.2
Rates
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K.2.11.2.a
Identify situations that occur in real life that occur quickly or slowly
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