STANDARDS:

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

• Pre-K– Expectations:

  • Count with understanding and recognize "how many" in sets of objects
  • Use multiple models to develop initial understandings of place value and the base-ten 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 place-value structure of the base-ten 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

• Pre-K–2 Expectations:

  • Develop and use strategies for whole-number 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 whole-number 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

• Pre-K–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

(MS4) Analyze change in various contexts

• Pre-K–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

(MS5) Geometry Standard - Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

• Pre-K-2 Expectations

  • Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes
  • Describe attributes and parts of two- and three-dimensional shapes

  Links: Quarked Outreach; Shape Sleuth game

• Grades 3–5 Expectations:

  • Identify, compare, and analyze attributes of two- and three-dimensional 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

• Pre-K–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 3-5 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

• Pre-K–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

• Pre-K–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 data-collection 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