National Science Content Standards  NCTM Standards  State of Kansas DoE Standards  State of Kansas Curricular Standards  Quarked Activities
NCTM STANDARDS FOR ELEMENTARY AGED CHILDREN
(MS1) Understand numbers, ways of representing numbers, relationships among numbers, and number systems
PreK– Expectations:
 Count with understanding and recognize "how many" in sets of objects
 Use multiple models to develop initial understandings of place value and the baseten number system
 Connect number words and numerals to the quantities they represent, using various physical models and representations
Links: Quarked Outreach, Lesson Plan: How small can you cut?, Games: Ushi's Ruler Game, Quarked Height

Grades 3–5 Expectations:
 Understand the placevalue structure of the baseten number system and be able to represent and compare whole numbers and decimals
Links: Quarked Outreach, Lesson Plan: How small can you cut?, Lesson Plan: Pea brain! Explorations in Estimation; Ask Mr. Marks #1; Games: Ushi's Ruler Game, Quarked Height
(MS2) Compute fluently and make reasonable estimates
PreK–2 Expectations:
 Develop and use strategies for wholenumber computations, with a focus on addition and subtraction
 Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators.
Links: Quarked Outreach, Ask Mr. Marks #1; Games: Ushi's Ruler Game, Quarked Height
Grades 3–5 Expectations:
 Develop and use strategies to estimate the results of wholenumber computations and to judge the reasonableness of such results
 Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.
Links: Quarked Outreach, Lesson Plan: Pea brain! Explorations in Estimation; Games: Ushi's Ruler Game, Quarked Height
(MS3) Understand patterns, relations, and functions
PreK–2 Expectations:
 Sort, classify, and order objects by size, number, and other properties
Links: Quarked Outreach, Lesson Plan: How small can you cut?; Ask Mr. Marks #1; Games: Ushi's Ruler Game, Quarked Height
Grades 3–5 Expectations:
 Represent and analyze patterns and functions, using words, tables, and graphs.
Links: Quarked Outreach, Lesson Plan: How small can you cut?, Lesson Plan: Where will it go?, Lesson Plan: What shape is it?; Ushi's Ruler Game
 Sort, classify, and order objects by size, number, and other properties
(MS4) Analyze change in various contexts
PreK–2 Expectations:
 Describe qualitative change, such as a student's growing taller
Links: Quarked Outreach; Lesson Plan: Where will it go?, Ushi's Ruler Game
 Describe qualitative change, such as a student's growing taller
(MS5) Geometry Standard  Analyze characteristics and properties of two and threedimensional geometric shapes and develop mathematical arguments about geometric relationships
PreK2 Expectations
 Recognize, name, build, draw, compare, and sort two and threedimensional shapes
 Describe attributes and parts of two and threedimensional shapes
Links: Quarked Outreach; Shape Sleuth game
Grades 3–5 Expectations:
 Identify, compare, and analyze attributes of two and threedimensional shapes and develop vocabulary to describe the attributes
Links: Quarked Outreach; Lesson Plan: Pea brain! Explorations in Estimation, Lesson Plan: What shape is it?; Shape Sleuth game
(MS6) Measurement Standard  Understand measurable attributes of objects and the units, systems, and processes of measurement
PreK–2 Expectations:
 Recognize the attributes of length, volume, weight, area, and time
 Compare and order objects according to these attributes
 Understand how to measure using nonstandard and standard units
 Select an appropriate unit and tool for the attribute being measured
Links: Quarked Outreach; Lesson Plan: How small can you cut?, Ask Mr. Marks #1; Games: Ushi's Ruler Game, 4 quarked quiz Quarked Quiz, Quarked Height
Grades 35 Expectations
 Understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute
 Understand the need for measuring with standard units and become familiar with standard units in the customary and metric systems
 Carry out simple unit conversions, such as from centimeters to meters, within a system of measurement
Links: Outreach; Lesson Plan: How small can you cut?, Lesson Plan: Pea brain! Explorations in Estimation, Lesson Plan: What shape is it?; Ask Mr. Marks #1; Games: Ushi's Ruler Game, Quarked Quiz, Quarked Height
(MS7) Apply appropriate techniques, tools, and formulas to determine measurements
PreK–2 Expectations
 Measure with multiple copies of units of the same size, such as paper clips laid end to end
 Use repetition of a single unit to measure something larger than the unit, for instance, measuring the length of a room with a single meterstick
 Use tools to measure
 Develop common referents for measures to make comparisons and estimates
Links: Quarked Outreach; Lesson Plan: How small can you cut?, Lesson Plan: Where will it go?; Ask Mr. Marks #1; Games: Ushi's Ruler Game, Quarked Quiz, Quarked Height
Grades 3–5 Expectations
 Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles
 Select and use benchmarks to estimate
 Develop strategies to determine the surface areas and volumes of rectangular solids
Links: Quarked Outreach; Lesson Plan: How small can you cut?, Lesson Plan: Where will it go?, Lesson Plan: Pea brain! Explorations in Estimation; Ask Mr. Marks #2; Games: Ushi's Ruler Game, Quarked Quiz, Quarked Height
(MS8) Data Analysis and Probability Standard  Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
PreK–2 Expectations
 Pose questions and gather data about themselves and their surroundings
 Sort and classify objects according to their attributes and organize data about the objects
 Represent data using concrete objects, pictures, and graphs
Links: Quarked Outreach; Lesson Plan: How small can you cut?, Lesson Plan: Where will it go?; Games: Ushi's Ruler Game, Quarked Quiz, Quarked Catcher, Shape Sleuth, Matter Mechanic, Quarked Height
Grades 3–5 Expectations
 Design investigations to address a question and consider how datacollection methods affect the nature of the data set
 Collect data using observations, surveys, and experiments
 Represent data using tables and graphs such as line plots, bar graphs, and line graphs
Links: Quarked Outreach; All Lesson Plans; Games: Ushi's Ruler Game, Quarked Quiz, Quarked Catcher, Shape Sleuth, Matter Mechanic, Quarked Height