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 - Grade 1
Edition: 2005
Publisher Houghton Mifflin
ISBN: 0-618-33859-4
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope
The following timeline is designed to be a guide.
Teachers will evaluate each student and adjust instruction
accordingly.
| Unit 1 |
Calendar |
Ongoing |
| Unit 2 |
Graphs |
Ongoing |
| Unit 3 |
Counting |
Ongoing |
| Unit 4 |
Estimation |
Ongoing |
| Unit 5 |
Mathematical Reasoning and Problem Solving |
Ongoing |
| Unit 6 |
Patterns/Classifying/Sorting |
September |
| Unit 7 |
Basic Arithmetic |
Oct.-Dec. |
| Unit 8 |
Number Sense and Place Value |
January |
| Unit 9 |
Measurement and Time |
February |
| Unit 10 |
Money and Fractions |
March |
| Unit 11 |
Mastery of Basic Arithmetic |
April/May |
| Unit 12 |
Geometry |
May |
| Unit 13 |
Probability |
May |
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Instructional Objective
108.01 Use a calendar to explore measurement
of time. |
Standard Reference
1.M.2.1.4, 1.M.2.1.5 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Read a calendar and identify the day for a given
date, the date for a given day, or the date of
specified day of the week (e.g., the third Monday)
in a given month. |
Text Ch.13, MTWSN Ch.7 |
TMA |
|
02 |
Recite the days of the week, in order, and identify
yesterday and tomorrow on a calendar. |
Calendar activities |
TMA |
|
03 |
Use appropriate vocabulary. |
See Vocabulary Grade1. |
TO |
|
Instructional Objective
108.02 Interpret information found in real
object graphs and in pictographs to answer
questions. |
Standard Reference
1.M.5.1.1, 1.M.5.1.2 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Interpret information contained in a chart,
graph, or table, using the concepts of largest,
smallest, most often, least often, and more than. |
Text Ch.4, MTW Ch.5, 6 |
TMA |
|
02 |
Use appropriate vocabulary. |
See Vocabulary Grade 1. |
TO |
|
Instructional Objective
108.03 Gather and display data in real object
graphs and in pictographs to answer a question. |
Standard Reference
1.M.5.2.1 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Organize and display given data in a graph,
chart or table and describe everyday examples
of data collection (e.g. attendance, air temperature). |
Text Ch.4, MTW Ch.5, 6 |
TMA |
|
Instructional Objective
108.04 Demonstrate knowledge of our numeration
system by counting in a variety of ways. |
Standard Reference
1.M.1.1.1, 1.M.1.1.6 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Count by 1’s, 5’s, and 10’s to 100. |
Text Ch.12, MTWSN Ch.5 |
TMA |
|
02 |
Count by 2’s to 20. |
Text Ch.12, MTWSN Ch.5 |
TMA |
|
03 |
Count backwards by ones from 20. |
MTW Ch.4, MTWSN Ch.5 |
TMA |
|
04 |
Count by ordinal numbers (1st to
10th). |
Text 305-306, MTW Ch.4, MTWSN Ch.5 |
TMA |
|
05 |
Identify an object in a specified ordinal position
in a row of up to 10 objects. |
Text 305-306, MTW Ch.4, MTWSN Ch.5 |
TMA |
|
06 |
Use appropriate vocabulary. |
See Vocabulary Grade1. |
TO |
|
Instructional Objective
108.05 Estimate a quantity of objects when
shown a set of 10. |
Standard Reference
1.M.1.3.1 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Estimate the number of objects shown in pictures
or with manipulatives. |
Text 115, 616, MTW Ch.1, 11, MTWSN Throughout |
TMA |
|
Instructional Objective
108.06 Use estimation to predict computation
results. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Use estimation to identify a reasonable answer
to a simple addition or subtraction problem. |
MTW Ch.1, 11, MTWSN Throughout |
TMA |
|
Instructional Objective
108.07 Use estimation to evaluate the reasonableness
of an answer. |
Standard Reference
1.M.1.3.2, 1.M.1.3.3 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Use estimation to evaluate a reasonable answer. |
MTW Ch.1, 11, MTWSN Throughout |
TMA |
|
02 |
Use appropriate vocabulary. |
See Vocabulary Grade 1. |
TO |
|
Back to Top |
|
Unit
5
|
Mathematical Reasoning
and Problem Solving |
Ongoing |
|
Instructional Objective
108.08 Select strategies appropriate for solving
a problem. |
Standard Reference
1.M.1.1.5 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Use a problem-solving model to develop and apply
problem-solving strategies (e.g., guess and check,
draw a diagram, make a list, work backwards). |
Text Throughout, MTWSN Ch.10 |
TMA |
|
Instructional Objective
108.09 Select and use appropriate operations. |
Standard Reference
1.M.1.1.5, 1.M.1.1.6 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Solve addition and subtraction word problems
using whole numbers. |
Text Throughout, MTW Ch.5-9, MTWSN Ch.10 |
TMA |
|
02 |
Determine the operation to be used to solve
a given word problem. |
Text Throughout, MTW Ch.5-9, MTWSN Ch.10 |
TMA |
|
03 |
Solve number sentences that use the symbols
+ or – and =. |
Text Throughout, MTW Ch.5-9, MTWSN Ch.10 |
TMA |
|
04 |
Use appropriate vocabulary. |
See Vocabulary Grade 1. |
TO |
|
Instructional Objective
108.10 Draw a picture and generate a number
sentence from a problem-solving situation. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Formulate problems from everyday mathematical
situations. |
Text Throughout, Box It and Bag It, MTWSN Ch.10 |
TMA |
|
Instructional Objective
108.11 Use a variety of methods, such as words,
numbers, symbols, charts, graphs, tables, diagrams,
and models, to communicate mathematical information. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Identify +, -, and = signs and the vocabulary
for each. |
MTW Throughout, MTWSN Ch.8 |
TMA |
|
02 |
Describe or explain a problem situation or a
mathematical concept orally or in writing. |
MTW Throughout, MTWSN Ch.8 |
TMA |
|
03 |
Organize and display given data in a graph,
chart, or table and describe everyday examples
of data collection (e.g., attendance, air temperature). |
Text Ch.4, MTW Throughout, MTWSN Ch.8 |
TMA |
|
Instructional Objective
108.12 Select appropriate models to represent
mathematical ideas. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Use manipulatives and technology tools to solve
mathematical problems (i.e. calculators and computers). |
Text Throughout, MTW Throughout, MTWSN Throughout,
Computer Programs (see Supplemental Materials
List) |
TMA |
|
Back to Top |
|
Unit
6 |
Patterns/Classifying/Sortingc |
September |
|
Instructional Objective
108.13 Describe and extend a repeating pattern
and identify the rule (function) that creates
the pattern. |
Standard Reference
1.M.3.4.1, 1.M.3.4.2 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Find and/or extend a repeating pattern found
in a sequence of numbers, colors, or objects. |
Text Ch.8, MTW Ch.2, 10, 11, 12, MTWSN Ch.9 |
TMA |
|
02 |
Use appropriate vocabulary. |
See Vocabulary Grade 1. |
TO |
|
Instructional Objective
108.14 Sort and classify objects by more than
one attribute. |
Standard Reference
1.M.4.1.2, 1.M.4.1.3 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Sort and classify objects according to specific
attributes. |
Text Ch.8, MTW Ch.3, MTWSN Ch.8 |
TMA |
|
02 |
Use appropriate vocabulary. |
See Vocabulary Grade1. |
TO |
|
Instructional Objective
108.15 Use objects, pictures and symbols to
add up to 10 and subtract from 9. |
Standard Reference
1.M.1.2.1, 1.M.1.2.2, 1.M.1.2.3, 1.M.1.2.4 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Solve addition problems using objects, pictures,
and symbols for sums up to 10. |
Text Ch.2, 5, MTW Ch.7, 8, 9, MTWSN Ch.10 |
TMA |
|
02 |
Solve subtraction problems using objects, pictures,
and symbols from up to 9. |
Text Ch.3, 6, MTW Ch.7, 8, 9 MTWSN Ch.10 |
TMA |
|
03 |
Use appropriate vocabulary. |
See Vocabulary Grade 1. |
TO |
|
Instructional Objective
108.16 Explore the relationship between addition
and subtraction and demonstrate reversal of
operations. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Use manipulatives to demonstrate the meaning
of addition and subtraction and the inverse relationship
between the two operations. |
MTW Ch.7-9, MTWSN Ch.10 |
TMA |
|
Instructional Objective
108.17 Explore and use the commutative property
of addition. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Demonstrate understanding of the commutative
and associative properties by identifying related
sentences in which either the order or grouping
of the numbers has been changed. |
Text 45-46, MTW Ch.9, MTWSN Ch.10 |
TMA |
|
Instructional Objective
108.18 Write a number sentence given an addition
or subtraction problem in both vertical and
horizontal form. |
Standard Reference
1.M.3.1.1, 1.M.3.1.2 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Draw a picture and/or write a number sentence
when given an addition or subtraction word problem. |
Text Ch.2, 3, MTWSN Ch.10 |
TMA |
|
Instructional Objective
108.19 Represent vertical notation in horizontal
form. |
Standard Reference
1.M.3.1.1 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Represent vertical notation in horizontal form,
and horizontal notation in vertical form. |
Text Ch.2, 3, MTWSN Ch.10 |
TMA |
|
Back to Top |
|
Unit
8 |
Number Sense and Place
Value |
January |
|
Instructional Objective
108.20 Read, write, compare and order whole
numbers to 100. |
Standard Reference
1.M.1.1.2, 1.M.1.1.6 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Write numbers to 100. |
MTW |
TMA |
|
02 |
Write or identify a dictated number from 0 to
100. |
Text Ch.10, MTW Ch.4, 7, 8, 9, MTWSN Ch.6 |
TMA |
|
03 |
Read the word form and identify the corresponding
numeral for a given number from 0 to 10. |
Text Ch.1, MTW Ch.4, 7, 8, 9 |
TMA |
|
04 |
Identify the counting pattern in a number chart
to 100 that is coded to show counting by 2’s,
5’s, and 10’s. |
Text Ch.12, MTW Ch.7, 8, 9 |
TMA |
|
05 |
Identify the number that comes before, after,
or between numbers from 1 to 99. |
Text Ch.1, 11, 12, MTW Ch.7, 8, 9 |
TMA |
|
06 |
Order three two-digit numbers least to greatest. |
Text Ch.12, MTW Ch.7, 8, 9 |
TMA |
|
07 |
Use appropriate vocabulary. |
See Vocabulary Grade 1 |
TO |
|
Instructional Objective
108.21 Identify place value through 99. |
Standard Reference
1.M.1.1.3, 1.M.1.1.6 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Identify tens and ones in numbers from 1 through
99. |
Text Ch.10, MTW Ch.11, MTWSN Ch.11 |
TMA |
|
02 |
Count and group objects into tens and ones and
say the total number of objects (e.g., two tens
and five ones). |
Text Ch.10, MTW Ch.11, MTWSN Ch.11 |
TMA |
|
03 |
Use appropriate vocabulary. |
See Vocabulary Grade 1 |
TO |
|
Instructional Objective
108.22 Compare numbers to 99 using vocabulary
(less than, greater than, equal to, more, less,
same, fewer). |
Standard Reference
1.M.3.1.3, 1.M.4.3.1 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Compare numbers to 99 using vocabulary (less
than, greater than, equal to, more, less, same,
fewer). |
Text Ch.11, MTW Ch.7 |
TMA |
|
02 |
Indicate whether a number is above or below
a benchmark number (100 or less) on a number
line. |
Text Ch.11 |
TMA |
|
03 |
Use appropriate vocabulary. |
See Vocabulary Grade 1 |
TO |
|
Instructional Objective
108.23 Use standard and non-standard tools
and units for measuring time, length, volume
(capacity), weight, and temperature. |
Standard Reference
1.M.2.1.1, 1.M.2.1.2, 1.M.2.1.3 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Compare length, weight, and volume of objects
using standard and non-standard units of measure. |
Text Ch.17, MTW Ch.5, MTWSN Ch.7 |
TMA
|
|
02 |
Estimate measurement using non-standard units. |
Text Ch. 17, MTW Ch.5, MTWSN Ch.7 |
TMA |
|
03 |
Identify appropriate instrument for the measurement
of length, volume, weight or temperature. |
Text Ch.17, 18, MTW Ch.5, MTWSN Ch.7 |
TMA |
|
04 |
Use thermometer to measure temperature. |
Text Ch.18, MTW Ch.5, MTWSN Ch.4 |
TMA |
|
05 |
Tell time to hour and half-hour using digital
and analog clocks. |
Text Ch.13, MTW Ch.5, MTWSN Ch.7 |
TMA |
|
06 |
Use appropriate vocabulary. |
See Vocabulary Grade 1 |
TO |
|
Instructional Objective
108.24 Apply estimation of measurement to
real-world and content problems using actual
measuring devices. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Apply estimation of measurement to real-world
and content problems using actual measuring devices. |
Text Ch.13, 17, 18, MTW Ch.11, MTWSN Ch.7 |
TMA |
|
Instructional Objective
108.25 Identify each and state the value of
pennies, nickels, and dimes. |
Standard Reference
1.M.1.1.4, 1.M.1.1.6 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Identify a penny, nickel, or dime and its value
given a real or pictured coin. |
Text Ch.14, MTW Ch.11, MTWSN Ch.7, 11 |
TMA |
|
02 |
Use appropriate vocabulary. |
See Vocabulary Grade 1 |
TO |
|
Instructional Objective
108.26 Use concrete materials to represent
commonly used fractions. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Identify shapes that are divided into equal
parts. |
Text Ch.9 |
TMA |
|
02 |
Identify the fraction that represents the shaded
part of a given shape (halves). |
Text Ch.9 |
TMA |
|
03 |
Identify a pictorial representation of a fraction
(halves). |
Text Ch.9 |
TMA |
|
Back to Top |
|
Unit
11 |
Mastery of Basic Arithmetic |
April - May |
|
Instructional Objective
108.27 Demonstrate proficiency of addition
up to 10 and an understanding of subtraction
from 9. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Recall basic addition number facts involving
sums to 10. |
Text Ch.2, 5, MTW Ch.7, 8, 9, MTWSN Ch.10 |
TMA |
|
02 |
Recall basic subtraction number facts involving
minuends of 9 or less. |
Text Ch.3, 6, MTW Ch.7, 8, 9, MTWSN Ch.10 |
TMA |
|
Instructional Objective
108.28 Recognize, name, build, draw, and sort
two- and three-dimensional shapes. |
Standard Reference
1.M.4.1.1, 1.M.4.1.3 |
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Identify and name square, circle, rectangle,
triangle, cube, sphere, cylinder, cone, and pyramid. |
Text Ch.7, MTW Ch.2, 12 |
TMA |
|
02 |
Classify a geometric figure as flat or solid
(square, circle, rectangle, triangle, cube, sphere,
cylinder, cone, and pyramid). |
Text Ch.7, MTW Ch.12 |
TMA |
|
03 |
Use appropriate vocabulary. |
See Vocabulary Grade 1 |
TO |
|
Instructional Objective
108.29 Recognize and create shapes that have
symmetry. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Recognize and create shapes that have symmetry. |
Text Ch.8, MTW Ch.10, MTWSN Ch.9 |
TMA |
|
Instructional Objective
108.30 Explore slides, flips, and turns. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Explore slides, flips, and turns of a figure. |
Text Ch.8, MTW Ch. 11, MTWSN Ch.9 |
TMA |
|
Instructional Objective
108.31 Explore ideas about direction and distance. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Explore ideas about direction, distance, location
and movement. |
Text Ch.8, MTW Ch.11, MTWSN Ch.9 |
TMA |
|
Instructional Objective
108.32 Predict, perform, and record results
of simple probability experiments. |
Standard Reference
|
|
No. |
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Predict a probable outcome based on information
about a specific event (e.g., choosing an object,
spinning a spinner). |
Text Ch.9, MTW Ch.5, 6, 11 |
TMA |
|
Instructional Objective
108.33 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. |
Text Ch.9, MTW Ch.1, 11 |
TMA |
Back to Top
|
|
|
|
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Mathematics curriculum e-mail
contact:
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