MCAS Math Pacing Guide Grade: Kindergarten

MCAS Math Pacing Guide Grade: Kindergarten

MCAS Mathematics Pacing Guide for Kindergarten

May 2010

To successfully complete Kindergarten the learner will:

  • Count by 1’s, 5’s, and 10’s (0-110).
  • Write, recognize, name numbers (0-20).
  • Order numbers (0-20) and match with the correct number of objects.
  • Order and match numbers (to 20).
  • Find the number that is one (1) more than or one (1) less than any number up to 10.
  • Sort and compare objects (by shape, size, number of vertices, sides or other attributes).
  • Identify shapes (circle, triangle, square, rectangle and cube).
  • Understands concepts of time (morning, afternoon, evening, today, tomorrow, yesterday, day, week, month and year).
  • Make comparisons of length, capacity, weight, and temperature of objects and recognize which object is shorter, longer, taller, lighter, heavier, warmer, cooler or holds more.
  • Understand concept of addition.
  • Understand concept of subtraction.
  • Understand positional words.
  • Make simple patterns with colors, shapes, and/or numbers.

Highlighted items = Indiana Core Standards

First Quarter / K.1.1 Match sets of objects one-to-one.
K.1.6 Count, recognize, represent, name, and order a number of objects (up to 20).
[EDM count by 1s to 110.]
K.3.2 Identify, copy, and make simple patterns with numbers and shapes.
K.3.1 Identify, sort, and classify objects by size, number, and other attributes. Identify
objects that do not belong to a particular group.
K.4.1 Identify and describe common geometric objects: circle, triangle, square, rectangle,
and cube.
K.4.2 Compare and sort common objects by position, shape, size, roundness, and number of
concerns.
K.4.3 Identify and use the terms: inside, outside, between, above, below, and under/over behind/in front of top/ bottom in back of.
K.5.1 Make direct comparisons of the length, capacity, weight, and temperature of objects and recognize which object is shorter, longer, taller, lighter, heavier, warmer, cooler or holds more.
1.5.7 Identify and give the values of pennies, nickels and dimes.
CC 10 is a bundle of 10 ones.
CC & EDM Recognize numbers from 10 to 20 and represent them as groups of tens and ones.
CC Understand that a “decade word” refers to one, two, three, four, five, six, seven, eight or nine tens.
CC = Common Core
Time-frame / Content/Performance Standards
Addressed
Second Quarter / K.1.1 Match sets of objects one-to-one.
K.1.6 Count, recognize, represent, name, and order a number of objects (up to 20).
K.3.2 Identify, copy, and make simple patterns with numbers and shapes.
K.1.2 Compare sets of up to ten objects and identify whether one set is equal to , more than, or less than another.
K.1.7 Find the number that is one more than or one less than any whole number up to 10.
K.1.8 Use correctly the words one/many, none/some/all, more/less and most/least.
K.3.1 Identify, sort, and classify objects by size, number or other attribute. Identify objects that do not belong to a particular group.
K.4.1 Identify and describe common geometric objects: circle, triangle, square, rectangle, and cube.
K.4.2 Compare and sort common objects by position, shape, size, roundness, and number of concerns.
K.4.3 Identify and use the terms: inside, outside, between, above, below, and under/over behind/in front of top/ bottom in back of.
K.5.1 Make direct comparisons of the length, capacity, weight, and temperature of objects and recognize which object is shorter, longer, taller, lighter, heavier, warmer, cooler or holds more.
K.5.2 Understand concepts of time: morning, afternoon, evening, today, yesterday, tomorrow, week, month, and year. Understand that clocks and calendars are tools that measure time.
1.5.7 Identify and give the values of pennies, nickels and dimes.
CC 10 is a bundle of 10 ones.
CC & EDM Recognize numbers from 10 to 20 and represent them as groups of tens and ones.
CC Understand that a “decade word” refers to one, two, three, four, five, six, seven, eight or nine tens.
Time-frame / Content/Performance Standards
Addressed
Third Quarter / K.1.1 Match sets of objects one-to-one.
K.1.6 Count, recognize, represent, name, and order a number of objects (up to 20).
K.3.2 Identify, copy, and make simple patterns with numbers and shapes.
K.1.2 Compare sets of up to ten objects and identify whether one set is equal to, more than, or less than another.
K.1.3 Know that larger numbers describe sets with more objects in them than sets described by smaller numbers.
K.1.4 Divide sets of ten or fewer objects into equal groups.
K.1.7 Find the number that is one more than or one less than any whole number up to 10.
K.1.8 Use correctly the words one/many, none/some/all, more/less and most/least.
K.1.9 Record and organize information using objects and pictures.
K.2.1 Model addition by joining sets of objects (for any two sets with fewer than 10 objects when joined).
K.2.2 Model subtraction by removing objects from sets (for numbers less that 10).
K.2.3 Describe addition and subtraction situations (for numbers less than 10).
K.3.1 Identify, sort, and classify objects by size, number other or attribute. Identify objects that do not belong to a particular group.
K.5.2 Understand concepts of time: morning, afternoon, evening, today, yesterday, tomorrow, week, month, and year. Understand that clocks and calendars are tools that measure time.
K.6.1 Choose the approach, materials, and strategies to use in solving problems.
K.6.2 Use tools such as objects or drawings to model problems.
Third Quarter Continued / K.6.3 Explain the reasoning used with concrete objects and pictures.
1.5.7 Identify and give the values of pennies, nickels and dimes.
CC Say the number name sequence forward or backward beginning from a given number up to 100 with guidance and support (do not always begin with one.)
CC Decompose and compose numbers less than or equal to 10 (number families) in various ways using objects or drawing and record each by a drawing or equation. Understand that addition and subtraction are related.
CC Understand that names of shapes apply regardless of the orientation or overall size of the shape.
CC Understand that shapes can be seen as having parts, such as sides and vertices (corners) and that shapes can be put together to compose other shapes.
CC analyze and compare a variety of two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, component parts (number of sides and vertices) and other attributes.
CC 10 is a bundle of 10 ones.
CC & EDM Recognize numbers from 10 to 20 and represent them as groups of tens and ones.
CC Understand that a “decade word” refers to one, two, three, four, five, six, seven, eight or nine tens.
CC = Common Core
Time-frame / Content/Performance Standards
Addressed
Fourth Quarter / K.1.1 Match sets of objects one-to-one.
K.1.6 Count, recognize, represent, name, and order a number of objects (up to 20).
K.3.2 Identify, copy, and make simple patterns with numbers and shapes.
K.1.2 Compare sets of up to ten objects and identify whether one set is equal to, more than, or less than another.
K.1.3 Know that larger numbers describe sets with more objects in them than sets described by smaller numbers.
K.1.4 Divide sets of ten or fewer objects into equal groups.
K.1.5 Divide shapes into equal parts.
K.1.7 Find the number that is one more than or one less than any whole number up to 10.
K.1.8 Use correctly the words one/many, none/some/all, more/less, and most/least.
K.1.9 Record and organize information using objects and pictures.
K.2.1 Model addition by joining sets of objects (for any two sets with fewer than 10 objects when joined).
K.2.2 Model subtraction by removing objects from sets (for numbers less than 10).
K.2.3 Describe addition and subtraction situations (for numbers less than 10).
K.3.1 Identify, sort, and classify objects by size, number, and other attributes. Identify
objects that do not belong to a particular group.
Fourth Quarter Continued / K.5.2 Understand concepts of time: morning, afternoon, evening, today, yesterday, tomorrow, week,
month, and year. Understand that clocks and calendars are tools that measure time.
K.6.1 Choose the approach, materials, and strategies to use in solving problems.
K.6.2 Use tools such as objects or drawings to model problems.
K.6.3 Explain the reasoning used with concrete objects and pictures.
K.6.4 Make precise calculations and check the validity of the results in the context of the problem.
1.5.7 Identify and give the values of pennies, nickels and dimes.
CC 10 is a bundle of 10 ones.
CC & EDM Recognize numbers from 10 to 20 and represent them as groups of tens and ones.
CC Understand that a “decade word” refers to one, two, three, four, five, six, seven, eight or nine tens.
CC = Common Core

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MCAS Kindergarten Math Pacing Guide – May 2010

Math Core Standards - Details: Kindergarten

May 2010

Core Standard 1: Number Sense and Computation
Count Objects and use symbols (numerals and pictures) and names to represent whole numbers up to 20. Find the number that is one more than or one less than any other whole number up to 20. Recognize numbers from 10 to 20 and represent them as groups of ten and ones. Show equivalent forms of the same number (up to 20) using objects, diagrams and numerals.
Core Standard 2A: Geometry and Measurement: Comparing and Classifying Objects

Identify, describe, sort, compare and classify objects by shape, size, number of vertices and other attributes.

Core Standard 2B : Geometry and Measurement : Comparing Measures

Make direct comparisons of the length, capacity, weight and temperature of objects and recognize which object is shorter, longer, taller, lighter, heavier, warmer, cooler or holds more.

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MCAS Kindergarten Math Pacing Guide – May 2010

Kindergarten Math Core Standards Unpacked

To successfully complete Kindergarten the learner will

Core Standard 1: Number Sense and Computation

  • Count Objects and use symbols (numerals and pictures) and names to represent whole numbers up to 20.
  • Find the number that is one more than or one less than any other whole number up to 20.
  • Recognize numbers from 10 to 20 and represent them as groups of ten and ones.
  • Show equivalent forms of the same number (up to 20) using objects, diagrams and numerals.

Essential Question:

  • Why is it important to be able to recognize and count numbers up to ten?
  • Why is it important to know which number is more or which number is less?

K.1.6 Count, recognize, represent, name, and order a number of objects (up to 10).
K.1.7 Find the number that is one more than or one less than any whole number up to 10.
Learning Targets
Concepts: Need to Know
  • Numbers one to ten
  • One to one correspondence
  • Less than and greater than for numbers to 10
Skills: Be Able to Do
  • Count, write, and name numbers to 10
  • Put sets of objects in numerical order to 10
  • Understand concepts and terms “more than” and “less than”

Key Vocabulary
Less than
Greater than
Number order
Numerals

Core Standard 2A: Geometry and Measurement: Comparing and Classifying Objects

 Identify, describe, sort, compare and classify objects by shape, size, number of vertices and other attributes.

Essential Question:

  • Why is it important to be able to sort and classify objects by different attributes?

K.3.1 Identify sort, and classify objects by size, number, and other attributes. Identify objects that do not belong to a particular group.
K.4.1 Identify and describe common geometric objects: circle, triangle, square, rectangle, and cube.
K.4.2 Compare and sort common objects by position, shape, size, roundness, and number of vertices.
Learning Targets
Concepts: Need to Know
Comparing and Classifying Objects
Characteristics of:
  • Circle
  • Triangle
  • Square
  • Rectangle
  • Cube
Skills: Be able to Do
Comparing and Classifying Objects
  • Name the shape and the attributes of: circle, triangle, square, rectangle and cube
  • Identify objects by size, number, and by similarities and differences.
  • Classify and sort objects by size, numbers, similarities and differences
  • Identify and describe circle, triangle, square, rectangle and cube
  • Classify common objects by size shape, etc.

Key Vocabulary
ClassifyCapacityLongerTallerLighter
RectangleSortCircleTriangleSquare
CubeWeightLengthTemperatureShorter

Core Standard 2B: Geometry and Measurement: Comparing Measures

  • Make direct comparisons of the length, capacity, weight and temperature of objects and recognize which object is shorter, longer, taller, lighter, heavier, warmer, cooler or holds more.

Essential Question:

K.5.1 Make direct comparisons of length, capacity, weight and temperature of objects and recognize which object is shorter, longer, taller, lighter, heavier, warmer, cooler or holds more.
Learning Targets
Concepts: Need to Know
  • Weight
  • Length
  • Temperature
  • Capacity
Skills: Be Able to Do
  • Compare length of objects
  • Compare weights objects
  • Compare temperature of things
  • Compare capacity

Key Vocabulary
Shorter
Cooler
Heavier
Longer
Taller
Warmer
Lighter

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MCAS Kindergarten Math Pacing Guide – May 2010

IN Core Standards Correlation to Common Core Standards: MATH - KINDERGARTEN

IN Core Standard 1 – Number Sense and Computation; (Common Core: Counting and Cardinality, Number – Operations, and Number-Base Ten)

  • K.1.6Count objects and use symbols (numerals and pictures) and names to represent whole numbers up to 20.
  • EDMCount by 1s, 5s, and 10s (0 to 110).
  • CC 10 is a bundle of 10 ones.
  • EDM & CC Recognize numbers from 10 to 20 and represent them as groups of tens and ones.
  • CC Understand that a “decade word” refers to one, two, three, four, five, six, seven, eight, or nine tens.
  • K.1.7Find the number that is one more than or one less than any whole number up to 20 and understand that the “quantity of

objects” is one more or one less as well. K.1.7

  • CC Say the number name sequence forward or backward beginning from a given number up to 100 with guidance and support (do not always begin with one).
  • CC Show equivalent forms of the same number (up to 20) using objects, diagrams, and numerals.
  • CC Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group (up to 10 items in group).
  • CC Understand that addition is putting together and subtraction is taking apart. Students may represent addition or subtraction with objects, fingers, mental images, drawings, sounds (claps), acting out, verbal explanations, expressions or equations.
  • CC Decompose and compose numbers less than or equal to 10 (number families) in various ways using objects or drawings and record each by a drawing or equation. Understand that addition and subtraction are related.
  • CC Fluently add and subtract up to 5 (automaticity of math facts).

IN Core Standard 2A – Geometry and Measurement: Comparing and Classifying Objects; (Common Core: Geometry)

  • K.3.1Identify, describe, sort, compare, and classify objects by shape, size, number of vertices, and other attributes.
  • K.4.1Describe objects in the environment using names of shapes: circle, triangle, square, rectangle, and cube.
  • CC Understand that names of shapes apply regardless of the orientation or overall size of the shape.
  • CC Understand that shapes can be seen as having parts, such as sides and vertices (corners) and that shapes can be put together to compose other shapes.
  • CC Describe the relative positions of objects using terms such as above, below, beside, in front of, behind, and next to.
  • K.4.2 & CCAnalyze and compare a variety of two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, component parts (number of sides and vertices) and other attributes.

IN Core Standard 2B – Geometry and Measurement: Comparing Measures (Common Core – Measurement and Data)

  • K.5.1Make direct comparisons of the length, capacity, weight, and temperature of objects and recognize which object is shorter, longer, taller, lighter, heavier, warmer, cooler, or holds more.
  • K.3.2 Identify, copy, and make simple patterns with numbers and shapes.
  • CC Classify objects into categories; count the numbers in each category and sort the categories by count.

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MCAS Kindergarten Math Pacing Guide – May 2010

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