2015-2016 First Grade Overview: Math
Month(s)
Unit
September
Math Routines
- Organizing
and
Representing
Numbers/Begi
nning Addition
Key Concepts
“Students will know…”
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October
Addition
Concepts
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OctoberNovember
Subtraction
Concepts
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We have rules and expectations for each day in
mathematics.
Everyday there are routines as mathematicians.
Mathematicians make a plan and follow it.
We have strategies to count a set of objects.
We can draw and represent quantities with
pictures and labels.
Representations must be organized, and checked
for accuracy.
Numbers and quantities up to 20 are related.
We can compose numbers up to ten with 2
addends.
We have strategies for solving addition problems.
Tools, manipulatives, drawings, and notations are
used to show our strategies and solutions.
To combine two groups, we can count on, or
count all.
Counting on is an effective strategy for adding 1,
2, 3.
Counting all is an effective way of checking when
combining two numbers.
When you add two numbers together, the sum is
greater than either of the addends.
Work can be shown in an organized, effective
way, so others can understand it.
There are different ways to solve, but sometimes
one strategy works better than another.
Smaller facts can help solve larger problems.
Demonstrate understanding of subtraction
(taking apart)
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Compare amounts in problems with the language
“fewer” and “more”
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Visualize and model subtraction story problems
with clarity and organization
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Using a bar model to represent thinking when
solving a number story
Key Skills
“Students will be able to…”
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NovemberDecember
Addition and
Subtraction
Relationships
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January
Data
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The make ten strategy is based on the concept of
ten and numbers from 11-20 can be expressed as
ten and some more.
Doubles facts can be used to help learn facts with
sums that are 1 more or less the double fact.
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The purpose of graphs and data collection.
How to collect data from peers, or items.
How to make sense of data representations.
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Count, compare and order quantities to 20
Combine two small quantities accurately
Interpret (retell the action sequence) and solve
addition story problems
Show how they solved the problem using clear
representation and strategy
Connect # names and written numbers to the
quantities they represent
Record combinations of numbers that make a
total
Add two numbers together using a strategy that
makes sense.
Explain why they chose a specific strategy.
Combine two addends together to get a sum that
is greater than both addends.
Show addition work in an organized way.
Record different strategies for the same problem,
and get the same answer using each.
Use smaller facts to help solve addition
sentences.
Solve subtraction sentences by taking one
amount from another
Use knowledge of addition concepts to support
practice with subtraction
Show thinking in solving subtraction problems by
organizing their work on paper
Select the best known strategy to solve
subtraction number stories
Explain reasoning for choosing a strategy
Use the words “How many more?” and “How
many fewer?” to understand what problems are
asking
Strategies:
o Draw a picture and cross out
o Bar model
o Open number line
o Ten frame
o Count back
o Use related addition facts
Find more than one combination of 2 addends
for a number up to 10
Prove that you have found all combinations of a
number by checking
Visualize and model addition story problems
Solve for a missing addend
Using a bar model to represent thinking when
solving a number story
Analyze and compare data shown in a picture
graph where each symbol represents one.
Make a picture graph where each symbol
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JanuaryFebruary
Addition
Strategies
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FebruaryMarch
Count and
Model
Numbers
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How to compare data.
The different kinds of graphs/charts (tally, bar,
picture).
What the symbols used in graphs mean.
How to use smaller facts to help add
Understand and apply the Commutative Property
of Addition for sums within 20
Use count on 1, 2, or 3 as a strategy to find sums
within 20.
Use doubles as a strategy to solve addition facts
with sums within 20.
Use doubles to create equivalent but easier sums
Use doubles plus 1 and doubles minus 1 as
strategies to find sums within 20.
Use the strategies count on, doubles plus 1, and
doubles minus 1 to practice addition facts within
20.
Use a ten frame to add 10 and some more.
Use make a ten as a strategy to find sums within
20.
Use numbers to show to use the make a ten
strategy to add.
Use the Associative Property of Addition to add
three addends.
Solve adding to and putting together situations
using the strategy draw a picture.
.That the position of a digit in a number matters
in our place value system
The base ten structure of the place value system
by counting objects by ones and grouping by 10s
How to trade or exchange 10 ones for 1 ten
How to represent numbers in a variety of ways
with cubes, base ten blocks, drawings and words.
How to model a number with base ten blocks.
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March
Comparing
Numbers
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March-April
Measurement,
Time, and
Fractions
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That you can use drawings to compare numbers.
Numbers can be compared by using the <, >, =.
Use base ten blocks to represent and compare
numbers.
How to identify numbers that are ten more or
ten less than a given number.
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Length can be measured using different sized
units.
How to compare lengths to determine which is
longer.
How to identify contexts in which measurement
is used.
How to measure.
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represents one and interpret the information.
Analyze and compare data shown in a bar graph.
Make a bar graph and interpret the information.
Analyze and compare data shown in a tally chart.
Make a tally chart and interpret the information.
Solve problem situations using the strategy make
a graph.
Add numbers within 20
Change the order of the addends (add again)
Count on 1, 2, or 3 to add.
Find the sum of doubles facts
Use the doubles plus one strategy to help you
find sums within 20
Use the doubles minus one strategy to help you
find sums within 20
Use a ten frame to add 10 and some more
Use the make a ten strategy to add
Add three addends
Choose a strategy to group numbers to add three
addends.
Solve addition word problems by representing
strategies used.
Count by ones to extend a counting sequence.
Count by tens from any number to extend a
counting sequence up to 120.
Use models and write to represent equivalent
forms of tens.
Use objects, pictures, and numbers to represent
a ten and some ones.
Use objects, pictures, and numbers to represent
tens.
Group objects to show numbers to 50 as tens
and ones.
Group objects to show numbers to 100 as tens
and ones.
Solve problems using the make a model strategy.
Read and write numerals to represent a number
of 100-110 objects.
Read and write numerals to represent a number
of 110 to 120 objects.
Model and compare two-digit numbers to
determine which is greater.
Model and compare two-digit numbers to
determine which is less.
Use symbols for is less than “<”, and is equal to
“=” to compare numbers.
Solve problems using the strategy make a model.
Identify numbers that are 10 less or 10 more
than a given number.
Order by objects by length.
Use the Transitivity Principle to measure
indirectly.
Measure length using nonstandard units.
Demonstrate accurate measuring techniques
when measuring a distance with non-standard or
standard units.
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How to describe measurements that are in
between whole numbers of units.
How to count accurately
How to use the calendar for keeping track of
time.
How to talk about time
How to collect and record data
How to use the 100 chart as a tool for counting.
How to identify and name coins.
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April-May
2 Digit
Addition and
Subtraction
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The number system is imbedded within the
concept of adding.
What it means to add and what it means to add
the effect that adding has on a number.
Subtracting one of the addends from the sum
results the difference that is the other addend.
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May-June
2D and 3D
Geometry
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How to describe, identify and compare 2D and
3D shape characteristics.
How to compose and decompose 2D shapes in
different ways.
Shapes are in our environment.
How to make and identify triangles and
quadrilaterals of different shapes and sizes.
There are many types of quadrilaterals.
We can cover a region without gaps or overlaps.
There are relationships between shapes (squares
and triangles).
How to compare size, shape and orientation of
objects.
Describe and compare rectangular prisms.
How to recognize shapes in the world.
How to describe 3D structures.
How to match a 3D object to a 2D outline of one
of its faces and to a 2D picture of a 3D object.
How to make 3D objects out of 2D pieces.
How to make a 2D representation of a 3D object.
Build a 3D construction from a 2D
representation.
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o Start at the beginning
o Ending at the end
o Leaving no gaps or overlaps
o Measure in a straight line
o Keep track of number units.
Write times to the hour shown on analog clocks.
Write times to the half hour shown on analog
clocks.
Tell times o the hour and half hour using analog
and digital clocks.
Use the hour hand to draw and write times on
analog and digital clocks.
Decompose two-dimensional shapes into parts.
Identify equal and unequal parts (or shares) in
two-dimensional shapes.
Partition circles and rectangle into two equal
shares.
Partition circles and rectangles into four equal
shares.
Add and subtract within 20
Draw a model to add tens
Draw a model to subtract tens
Use a hundred chart to find sums
Use concrete models to add ones or tens to a
two digit number
Make a ten to add a two digit number and a one
digit number
Use tens and ones to add two digit numbers
Solve and explain two digit addition word
problems using the strategy draw a picture
Add and subtract within 100, including continued
practice with facts within 20
Identify and describe three-dimensional shapes
according to defining attributes.
Compose a new shape combining threedimensional shapes. Use composite threedimensional shapes to build new shapes.
Identify three-dimensional shapes used to build a
composite shape by using manipulatives.
Identify two-dimensional shapes on threedimensional shapes.
Use defining attributes to sort shapes.
Describe attributes of two-dimensional shapes.
Use objects to compose new two-dimensional
shapes.
Compose a new shape by combining twodimensional shapes.
Make new shapes from composite twodimensional shapes using manipulatives.
Decompose combined shapes into shapes.