SAU #35 Kindergarten Mathematics
Strand: Numbers, Numeration, Operations, and Number Theory
Broad Goals
Develop number sense, ways to represent numbers, and an understanding of the relationships among numbers and our numeration system. Students will understand the meanings of and relationships between number operations and their properties. Compute accurately and efficiently and make reasonable estimates.

 

Strand: Geometry and Measurement

Broad Goals

Explore and analyze the properties and relationships of two- and three-dimensional shapes and figures.

Develop spatial reasoning and visualization techniques and skills.

Students will use geometric transformations to analyze situations and solve problems.

Students will understand and apply the units, systems, and process of measurement: one-, two-, and three-dimensional measurement.

Students will understand and apply the units, systems, and processes of measurement: other types of measurement.

 

Strand: Data Analysis, Statistics, and Probability

Broad Goal

Students will use data analysis, statistics, and probability to analyze and model situations and the outcomes of experiments.

 

Strand: Functions, Relations, and Algebra
Broad Goals
Students will recognize and describe patterns. Students will represent, analyze, and model mathematical situations and structures. Students will analyze change in various contexts.

Numbers, Numeration, Operations, and Number Theory

Broad Goal #1: Develop number sense, ways to represent numbers, and an understanding of the relationships among numbers and our numeration system.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
1.1.1 Count to 31.

1.1.2 Order a set of numbers from 0-9 from least to greatest and vice versa.

1.1.3 Name the whole number that is one unit greater or less than a given number.

1.1.4 Read and write whole numbers 0-9.

 

 

 

1.1.5 Show one-to-one correspondence for numbers 0-9.

1.1.6 Demonstrate the knowledge of differences in uses of ordinal and cardinal numbers.

1.1.7 Using a model, demonstrate that a whole can be divided into two equal portions.

 


1.1.8 Given a fractional model/drawing, identify if it represents 1/2.

    


 


 

 

 

 

 


 



 

When given a graham cracker, a student will be able to divide it into two equal portions.


When given a graham cracker that’s been broken into two pieces, the student will be able to determine whether or not the parts represent halves.
Divide class into halves to make groups

 Calendar -Everyday Math


 


 


Farm Counting Book - 1989 Warren Publishing
I Can Count Pigs - Concepts to Go
How Many Turkeys - www.EnchantedLearning.com

 

 

 

 

 

 

 

Numbers, Numeration, Operations, and Number Theory

Broad Goal #2: Students will understand the meanings of and relationships between number operations and their properties.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
1.2.1 Explore the meaning of and relationship between the operations of addition and subtraction, using manipulatives.

1.2.2 Given an addition or subtraction story problem, demonstrate an understanding of the concept through the use of manipulatives.

1.2.3 Explore the effects of performing the operation of addition and subtraction.

  

 



 

When adding the value increases, when subtracting the value decreases.

  

Numbers, Numeration, Operations, and Number Theory

Broad Goal #3: Compute accurately and efficiently and make reasonable estimates.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
1.3.1 Develop proficiency with addition and subtract facts with sums up to 6 and minuends no greater than six.

 

1.3.2 Use a variety of mental computation and estimation techniques to solve problems.

1.3.3 Explore the use of the calculator.

1.3.4 Use manipulatives to explore addition and subtraction.

  

 



Number Families
2+3=5, 5-3=2
If 3+3=6, then 3+4=7

 Double Six Dominoes
Double Sided Lima Beans
Elf Wheel Addition Facts - Bev Frenkiewich, Lafayette




 


Story Box Problem Solving - Bev Frenkiewich, Lafayette

Geometry and Measurement

Broad Goal #1: Explore and analyze the properties and relationships of two- and three-dimensional shapes and figures.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
2.1.1 Name common two-dimensional objects.


2.1.2 Name three-dimensional objects.

   Circle, square, rectangle, and triangle.

Cylinder, sphere, and cube.
Globe=sphere
1" cubes and dice

 Shape Games - J. Wood and M. LeMay, BES

 

Geometry and Measurement

Broad Goal #2: Develop spatial reasoning and visualization techniques and skills.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
2.2.1 Use positional terms.

 

2.2.2 Copy, compare, and visualize shapes by drawing and using manipulatives (to include circle, square, rectangle, and triangle.

   Inside, outside, above, top-to-bottom, over, or under. Circle Games with Bean Bags
Reading Books - "in, on, over, under"

Geometry and Measurement

Broad Goal #3: Students will use geometric transformations to analyze situations and solve problems.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
2.3.1 Recognize and apply flips (reflections), using manipulatives to extend a pattern.     Math Journey Software
Munching Patterns
Native American Headbands

Geometry and Measurement

Broad Goal #4: Students will understand and apply the units, systems, and process of measurement: one-, two-, and three-dimensional measurement.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
2.4.1 Explore the need for a uniform unit of measure.

2.4.2 Apply basic measuring skills to measure lengths of objects using non-standard units of measure.

      

Geometry and Measurement

Broad Goal #5: Students will understand and apply the units, systems, and processes of measurement: other types of measurement.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
2.5.1 Identify the purpose of the clock.

2.5.2 Identify the parts of an analog clock.

2.5.3 Identify the purpose of a thermometer.

2.5.4 Identify and give the value of a penny and a nickel.

2.5.5 Recognize differences between digital and analog clocks.

      

 

Sammy's Science House

Large Size Coins

Data Analysis, Statistics, and Probability

Broad Goal #1: Use data analysis, statistics, and probability to analyze and model situations and the outcomes of experiments.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
3.1.1 Introduce how to collect, organize, and interpret data using observations.

3.1.2 Introduce how to construct and interpret tables and graphs.

   Weather Charts


bar and picture graphs
 

Snack/Milk graphs

Functions, Relations, and Algebra

Broad Goal #1: Students will recognize and describe patterns.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
4.1.1 Sort, classify and order objects by their properties.

4.1.2 Recognize, describe, extend, and create a wide variety of patterns using concrete models, numbers, graphs, and shapes.

 

 		  (size, number, shape) People and shapes sorts
 

Math Journey software
Calendar patterns with multiple ways to read
Box It, Bag It - mirror patterns
Pattern blocks and mirrors

Functions, Relations, and Algebra

Broad Goal #2: Students will represent, analyze, and model mathematical situations and structures.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
4.2.1 Interpret the equal symbol as demonstrating equivalence between quantities.

4.2.2 Solve open sentences (equations) that express relationships.

      

Functions, Relations, and Algebra

Broad Goal #3: Students will analyze change in various contexts.

Kindergarten
Student Outcomes Alignment Examples Resources/Activities
4.3.1 Recognize quantitative change.   Calendar activities (weather comparisons).