Mathematics Skills and Concepts

This is an overview of the math curriculum I will use as well as the skills 
and concepts I will introduce during the year.  Some concepts will be taught 
for mastery, others will be introduced to be built upon in later grades.  
The instructional strategies used and amount of time spent on each topic 
will be based on my assessments of the children’s current knowledge, 
interests, and learning styles.   You can use the information here to talk 
to your child about the things he or she is learning and to reinforce the 
vocabulary words provided.  Growing comfortable using new vocabulary is an 
important part of the learning process. 

Unit 1: Numbers and Addition and Subtraction Facts
Ch.1: Exploring Number Relationships
Count and write numbers; skip count to large numbers (to 100 by 2,5, and 10; 
to 36 by 3’s; and to 48 by 4’s); basic addition and subtraction review, use 
pictures to solve problems.
Vocabulary: skip count, counting pattern, add, sum, difference.
Ch. 2: Addition Strategies and Facts to 20
Use strategies to add facts to 18 (commutative property, 0, counting on, 
fact families, related facts, doubles, doubles +1); complete an input/output 
table to show increasing patterns in numbers; add 3 numbers; draw pictures 
to solve problems.
Vocabulary: add, sum, addend, number line, count on, rule.
Ch. 3: Subtraction Strategies and Facts to 20
Use strategies to subtract facts to 18 (0, fact families, related facts, 
inverse operations, doubles); identify a number sentence equal to a given 
number; write a subtraction sentence to compare two numbers.
Vocabulary: count back, subtract, difference, related facts, inverse, 
missing addend.
Ch. 4: Exploring Addition and Subtraction
Apply strategies to both addition and subtraction (fact families, doubles, 
make a ten); write number sentences to solve math problems, demonstrate 
fluency in facts to 18.
Vocabulary: doubles, doubles plus 1, make a ten, fact family.


Unit 2: Place Value and Money
Ch. 5: Understanding Place Value
Compare an order numbers to 100; understand base 10 system (10 ones = 1 ten, 
10 tens = 1 hundred, 10 hundreds = 1 thousand); understand the role of 0 in 
place value; Estimate the magnitude of numbers to 100; Identify the place 
value of digits in numbers to 100; make predictions based on number 
knowledge and clues.
Vocabulary: ones, tens, place value, digit, estimate.
Ch. 6: Numbers and Patterns
Compare numbers to 100, order numbers to 100, skip count (to 100 by 2, 5, 
10; to 36 by 3’s; and to 48 by 4’s); explore odd and even, use <, >, and = 
to compare; use ordinal numbers; use logical reasoning to solve problems.
Vocabulary: compare, is less than (<), is greater than (>), is equal to (=), 
number line, before, after, between, skip-count, ordinal numbers, even, odd.
Ch. 7: Money
Recognize the value and name of the penny, nickel, dime and quarter; 
recognize and use bills (valued $1, $5, $10, $20); use the whole dollar 
notation: $1; find the values of mixed coins to $1; identify equivalent 
values.
Vocabulary: penny, nickel, dime, cent sign, quarter, half dollar.
Ch. 8: Using Money
Recognize and use different ways to make a dollar; count and write money 
amounts; apply money knowledge to real life shopping situations; solve 
problems by using coins to act out problems.
Vocabulary: dollar, cent sign, dollar sign, decimal point.

Unit 3: Time, Graphs, and Regrouping
Ch. 9: Telling Time
Tell time to the hour, half hour, quarter hour, and in five minute 
intervals; use a sequence of events to solve problems.
Vocabulary: hour, half hour, minute, hour hand, minute hand.
Ch. 10: Time And Calendar
Become familiar with AM and PM; know sequence of days of the week and months 
of the year and connect them to changes in time and season; estimate time; 
solve problems using a calendar.
Vocabulary: A.M., P.M., calendar, month, week, year.
Ch. 11: Data and graphs 
* These skills will be taught integrated with science, social studies, and 
language arts.
Ch. 12: Number Relationships and Regrouping
Use place-value models to regroup tens and ones; understand base 10 system 
(10 ones = 1 ten, 10 tens = 1 hundred, 10 hundreds = 1 thousand); understand 
the role of 0 in place value; use multiple strategies to compose and 
decompose 2 digit numbers; use number patterns to solve problems.
Vocabulary: regroup

Unit 4: Add And Subtract 2-Digit Numbers
Ch. 13: 2-Digit Addition
Add tens using addition facts; add 1 and 2 digit numbers with and without 
regrouping; Identify problems and use addition to solve.
Vocabulary: regroup.
Ch. 14: Practice And Apply 2-Digit Addition
Write facts in horizontal and vertical form; add two digit numbers with 
regrouping; estimate; add three numbers, choose an appropriate method to 
solve a problem.
Vocabulary: number sentences, estimate, reasonable, round
Ch. 15: Two Digit Subtraction
Use place value models to compose and regroup 2 digit numbers for 
subtraction; apply basic facts to two digit subtraction; subtract 2 digit 
numbers with and without regrouping; use a hundred chart to identify patters 
in counting backward, use a sequence of events to solve a problem.
Ch. 16: Practice and Apply Two Digit Subtraction
Write facts in horizontal and vertical form; use addition to check 
subtraction; practice subtracting two digit numbers with and without 
regrouping; estimate to check an answer; use mental math; choose the 
appropriate operation to solve a problem.
Vocabulary: inverse, estimate.

Unit 5: Measurement And Geometry
Ch. 17: Estimate and Measure Length
Use standard and nonstandard units; measure vertically and horizontal; use 
rulers to measure with yards, feet and inches; compare and order objects 
based on length; measure with centimeters and meters; compare and contrast 
to solve problems.
Vocabulary: measure, estimate, inch (in.), length, foot (ft), yard (yd), 
centimeter (cm), meter (m) 
* These skills will be taught integrated with science.
Ch. 18: Estimate and Measure Capacity and Weight
Recognize mass (weight); compare and order objects based on weight; use 
standard and nonstandard measurement units; compare capacity; describe 
capacity using standard units: fluid ounces, cup, pint, quart, gallons, 
milliliters, liters; describe weight using standard units: ounces, pounds, 
kilogram, gram; read temperature from Celsius and Fahrenheit thermometers; 
solve problems by choosing appropriate measurement tools.
Vocabulary: capacity, fluid ounce (fl oz), cup (c), pint (pt), quart (qt), 
gallon (g), ounce (oz), pound (lb), liter (L), milliliter (mL), gram (g), 
kilogram (kg), temperature, degrees Fahrenheit (F), degrees Celsius (C)
* These skills will be taught integrated with science.
Ch. 19: 2 Dimensional and 3 Dimensional Shapes
Name circle, square, rectangle, and triangle; put together and take apart 2 
dimensional shapes; sort and group objects; name two and three dimensional 
figures; identify the attributes of different shapes; use picture clues to 
solve problems.
Vocabulary: face, edge, vertex, cube, sphere, cylinder, cone, pyramid, 
rectangular prism, side, angle, triangle, circle, pentagon, quadrilateral, 
square, rectangle, parallelogram, trapezoid, hexagon, unit 
Ch. 20: Spatial Sense
Explore line symmetry; identify congruent figures, experiment with slides, 
flips, turns; measure perimeter, explore area; guess and check to solve 
problems involving length.
Vocabulary: congruent, line of symmetry, slide, flip, turn, perimeter, area.

Unit 6: Understanding Greater Numbers
Ch. 21: Place Value to Thousands
Read, write, and represent numbers to 1,000; Use place-value models to 
regroup tens and ones; understand base 10 system (10 ones = 1 ten, 10 tens = 
1 hundred, 10 hundreds = 1 thousand); understand the role of 0 in place 
value; use multiple strategies to compose and decompose 3 digit numbers; 
solve problems by identifying the main idea in a math story.
Vocabulary: tens, hundreds, place-value, digit, expanded form, thousands.
Ch. 22: Number Relationships and Patterns
Use number patterns to solve problems; name numbers before, after and 
between numbers; use number line to order numbers and extend patterns; count 
forward and backward; make a table to solve a problem.
Vocabulary: greater than >; less than <
Ch. 23: 3-Digit Addition
Add three digit numbers with and without regrouping solve problems by making 
inferences from a math story.
Ch. 24: 3-Digit Subtraction
Subtract three digit numbers with and without regrouping; apply skills to 
adding and subtracting money amounts; work backward to solve problems.

Unit 7: Probability, Data, and Operations
Ch. 26: Probability
Describe events as certain, probable, or impossible to happen; describe 
events as likely, equally likely, or less likely; make predictions, solve 
problems by making a list.
Vocabulary: certain, probable, impossible, more likely, equally likely, less 
likely, prediction
Ch. 27: Interpreting Data
Use range, mode, coordinate grids, and line graphs to describe and display 
data; form questions and draw conclusions about a set of data; compare and 
interpret data; use pictograph and bar graph to represent concrete objects; 
use tallies to collect and record data; solve problems by identifying 
important and unimportant information.
Vocabulary: rang, mode, median, coordinate graph, line graph
* These skills will be taught integrated with science, social studies, and 
language arts.
Ch. 28: Exploring Multiplication and Division
Create arrays; Practice repeated addition and subtraction; connect fair 
shares to division, connect skip counting to multiplication, extend patterns 
to solve problem.
Vocabulary: skip-count, multiply, array, divide, equal share.