Mathematics - Kindergarten

Course Description

The elementary mathematics curriculum of the Boise School District will be vibrant, challenging, and child centered. With consideration for children's needs and their development, the followings NCTM strands, which are of equal importance, will comprise the elementary mathematics curriculum: (1) Numbers and Numeration, (2) Organizing and Interpreting Data, (3) Problem Solving, (4) Measurement, (5) Geometry, (6) Technology, and (7) Algebra - the language of mathematics. However, instruction will be structured as a spiral of strands to insure that children will experience mathematics as a unified whole rather than as a set of disjointed, unrelated parts. In particular, problem-solving and technology should serve to integrate the curriculum across the strands and among other disciplines.

Meaning and understanding of mathematics rests upon the foundation of mathematical concepts developed through experience with concrete manipulatives. It is recommended that manipulatives be used as often as possible. Concepts and skills should not be taught in isolation. Both are built on students' past knowledge through meaningful examples and experiences, and students should be provided ample opportunities to apply them to practical, real-life situations.

Adopted Materials

Title: Houghton Mifflin Math - Kindergarten
Edition: 2005
Publisher: Houghton Mifflin
ISBN: 0-618-38984-9

Mathematics Curriculum Map
Course overview, activities, vocabulary, supplemental materials in pdf format.

Copyright Resources

Kindergarten Handbook & Curriculum Guide

Course Scope

Assessment Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word document

• For specific Standard References please see: Idaho State Assessment Standards
• Download this curriculum and standards documentation as a "Printer Friendly" pdf file

Unit 1

Basic Arithmetic, Estimation, and Accurate Computations

Ongoing

008.01 Demonstrate knowledge of our numeration system by counting forward by ones to at least 31.

Standard Reference
K.M.1.1.1.

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Demonstrate knowledge of our numeration system by counting in a variety of ways.
Rote count
One to one correspondence
Number value/symbol/conservation of number

Chapters 4, 7, 8, 15, 16
MTW, MTWSM, Box It and Bag It, Kindergarten Handbook, Workjobs, Workjobs II

TMA, TO, BKAB, DMT

008.02 Show the verbal, symbolic, and physical representations of a number up to 10.

Standard Reference
K.M.1.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Count to at least 30
Recognize numerals to at least 30
Write numerals to 10

Chapters 3, 4, 7, 8, 15, 16
*Refer to 008.01

TMA, TO, BKAB, DMT

008.03 Identify a penny as a value of money.

Standard Reference
K.M.1.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify a penny as a value of money

Chapter 10
*Refer to 008.01

TMA, TO, BKAB, DMT

008.04 Explore the concepts of addition and subtraction using concrete objects.

Standard Reference
K.M.1.2.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore the concepts of addition and subtraction using concrete objects.

Chapters 13, 14
*Refer to 008.01

TMA, TO

008.05 Use appropriate vocabulary.

Standard Reference
K.M.1.2.2.

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary.

Dailey Routines:
Vocabulary at the beginning of each lesson

TMA, TO

008.06 Use estimation to identify a number of objects.

Standard Reference
K.M.1.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use estimation to identify a number of objects

Chapters 8, 15
*Refer to 008.01

TMA, TO, BKAB, DMT

008.07 Use estimation to evaluate the reasonableness of an answer.

Standard Reference
K.M.1.3.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Recognize when an estimate for the number of objects is a reasonable estimate.

Chapters 11, 12
*Refer to 008.01

TMA, TO, BKAB, DMT

008.08 Use estimation to identify a number of objects. Use appropriate vocabulary.

Standard Reference
K.M.1.3.1
K.M.1.3.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use estimation and appropriate vocabulary to identify a number of objects

Chapter 2
Dailey Routines:
Vocabulary at the beginning of each lesson
*Refer to 008.01

TMA, TO, BKAB, DMT

Back to Top

Unit 2

Mathematical Reasoning and Problem Solving

Ongoing

008.09 Select strategies appropriate for solving a problem.

Standard Reference
K.M.1.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Guess and check.
Act it out.
Draw a picture.
Build a model.

All Chapters
*Refer to 008.01

TMA, TO, BKAB, DMT

008.10 Use concrete objects to identify and show a solution to problems.

Standard Reference
K.M.3.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use concrete objects to identify and show a solution to problems.

Chapter 2
*Refer to 008.01

TMA, TO, BKAB, DMT

008.11 Select appropriate models to represent mathematical ideas.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Select appropriate models to represent mathematical ideas.

Chapters 7, 8
*Refer to 008.01

TMA, TO, BKAB, DMT

008.12 Use appropriate vocabulary to communicate mathematical information.

Standard Reference
K.M.1.1.5

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use vocabulary terms: more, less, same, number.

Chapters 3, 6, 8
Daily Routines:
Vocabulary at the beginning of each lesson
*Refer to 008.01

TMA, TO, BKAB, DMT

Back to Top

Unit 3

Concepts and Principles of Measurement

Ongoing

008.13 Compare the lengths or sizes of objects (e.g., longer, shorter, larger, smaller).

Standard Reference
K.M.2.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore the use of standard and non-standard tools for measuring time, length, volume, weight, temperature and interpreting calendars.

Chapters 9, 11, 12
Daily Routines
*Refer to 008.01

TMA, TO

008.14 Estimate measurement using concrete objects.

Standard Reference
K.M.2.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Apply estimation of measurement to real-world and content problems, using actual measuring devices.

Chapters 11,12
*Refer to 008.01

TMA, TO

008.15 Use appropriate vocabulary.

Standard Reference
K.M.2.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary

Chapter 9, 11, 12
Daily Routines:
Vocabulary at the beginning of each lesson

TMA, TO

Back to Top

Unit 4

Concepts and Language of Algebra

Ongoing

008.16 Compare sets of objects using vocabulary (less than, greater than, same as).

Standard Reference
K.M.3.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Compare sets of objects using vocabulary (less than, greater than, same as).

Chapters 3, 8
*Refer to 008.01

TMA, TO, BKAB, DMT

008.17 Explore the relationship between addition and subtraction.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore the relationship between addition and subtraction

Chapter 14
*Refer to 008.01

TMA, TO

Back to Top

Unit 5

Concepts and Principles of Geometry

Ongoing

008.18 Recognize, name, compare, and sort two – and three- dimensional shapes (triangle, rectangle, square, circle, cone, cube).

Standard Reference
K.M.4.1.1
K.M.4.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify and classify geometric figures (square, circle, rectangle, and triangle).

Chapters 5, 6
*Refer to 008.01

TMA, TO, BKAB, DMT

008.19 Recognize and create shapes that have symmetry.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Name the shape of a pictured figure as a square, circle, rectangle, and triangle.

Chapter 5
*Refer to 008.01

TMA, TO, BKAB, DMT

008.20 Explore slides, flips, and turns.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Locate a specified geometric figure in simple pictures containing several geometric figures.

Chapters 5, 6
*Refer to 008.01

TMA, TO, BKAB, DMT

008.21 Apply appropriate vocabulary for position and size.

Standard Reference
K.M.4.1.3
K.M.4.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary: above, below, up, down, over, under, inside, outside, top, bottom, between, middle, before, after.

Chapter 2
Daily Routines:
Vocabulary at the beginning of each lesson

TMA, TO, BKAB, DMT

008.22 Apply graphing in two dimensions. Apply ideas about direction and distance.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Apply graphing in two dimensions. Apply ideas about direction and distance.

Chapter 6
*Refer to 008.01

TMA, TO, BKAB, DMT

Back to Top

Unit 6

Data Analysis, Probability, and Statistics

Ongoing

008.23 Interpret information from real objects graphs and simple pictographs.

Standard Reference
K.M.5.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Provide a simple graph such as how many girls and how many boys and determine most, least, and same.

Chapters 3, 4
*Refer to 008.01

TMA, TO, BKAB, DMT

008.24 Understand and use appropriate vocabulary,

Standard Reference
K.M.5.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary: graph, same, different, least, most, sort, predict, and tally.

Chapters 3, 4
Daily Routines

TMA, TO, BKAB, DMT

008.25 Create a graph using real objects or pictorial representations.

Standard Reference
K.M.5.2.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Create a graph using real objects or pictorial representations.

Chapters 3, 4
Daily Routines
*Refer to 008.01

TMA, TO, BKAB, DMT

008.26 Predict and perform results of simple probability experiments.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Predict and perform results of simple probability experiments.

Chapter 5
Daily Routines
*Refer to 008.01

TMA, TO, BKAB, DMT

008.27 Make predictions or decisions based on probable results or past experiences.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Make predictions or decisions based on probable results or past experiences. Given a series of pictures depicting a story, the student will arrange the pictures in a given sequence (e.g., left-to-right, top-to-bottom).

Chapter 5
*Refer to 008.01

TMA, TO, BKAB, DMT

Back to Top

Unit 7

Functions and Mathematical Models

Ongoing

008.28 Replicate and extend simple patterns and use appropriate vocabulary.

Standard Reference
K.M.3.4.1
K.M.3.4.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Copy, describe or extend a pattern using classroom items.

Chapters 2, 7
*Refer to 008.01

TMA, TO, BKAB, DMT

008.29 Sort and classify objects by attributes.

Standard Reference
K.M.4.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Sort by shape, color, size, and other attributes using classroom items.

Chapter 1
*Refer to 008.01

TMA, TO, BKAB, DMT

008.30 Understand and use appropriate vocabulary.

Standard Reference
K.M.3.4.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary: sort, pattern, and count.

Chapters 1, 2

TMA, TO