WatkinsGlenCentralSchool District

First Grade Math

Scope andSequence
By Marking Period / Skills and Concepts / New YorkState Learning Standards for Mathematics / Everyday Math Goals

Numbers (Numeration)

MP 1 / Counting and writing numbers / Count the items in a collection and know the last counting word that tells how many items are in the collection (1-100) / Perform rational counting (the counting of objects)
MP 1 / Count by 1’s to 100 / Count and write by 1’s to 100
MP 2 / Skip count by 10’s to 100 / Count and write by 10’s to 100
MP 1
MP 2 / Skip count by 5’s to 50 / Count and write by 5’s to 100
MP 1
MP 2 / Skip count by 2’s to 20 / Count and write by 2’s to 100
Count by 25’s
MP 1
MP 2 / Count backwards from 20 by 1’s / Count backwards from 20 by 1’s
MP 1
MP 2 / Verbally count from a number other than one by 1’s / Verbally count from a number other than one by 1’s (also called counting on or counting up)
MP 1
MP 2 / Write numbers to 100 / Read and write two –digit numbers
MP 1
MP 2
MP 3 / Count out (produce) a collection of specified (10 – 100) items, using groups of 10 / Counting base 10 blocks and pennies
MP 1 / Quickly see and label with a number, collections from 1 – 10 / Name collection box
MP 1
MP 3 / Draw pictures or other informal symbols to represent the spoken number up to 20 / Name collection box
MP 1
MP 2 / Read number words / Read number words (one, two, three…ten) / Read number words (one, two, three…ten)
MP 2
MP 3
MP 4 / Identify place value / Explore and use place value / Identify place value in two digit numbers
MP 3 / Develop an initial understanding of the base 10 system;
10 ones = 1 ten
10 tens = 1 hundred / Place value
Animal weights
MP 1
MP 2
MP 3 / Compare numbers / Compare and order whole numbers up to 100 / Compare and order whole numbers beyond 100
MP 1 / Identify that spacing of the same number of objects does not effect the quantity (conservation) / Investigating the number line
Tools for doing math
Comparing numbers
MP 1
MP 2 / Arrange objects in size order (increasing and decreasing) / Daily routines
Nonstandard linear measures
MP 1
MP 2 / Sequencing numbers / Name the number before and the number after a given number, and name the number(s) between two- given numbers up to 100 (with and without the use of a number line or hundredth chart) / Order two-digit and three-digit numbers
MP 1
MP 2
MP 4 / Use before, after, or between to order numbers to 100 (with or without the use of a number line) / Order two-digit and three-digit numbers
MP 2
MP 3 / Use and understand verbal ordinal terms, first to twentieth / Read and write ordinal numbers
MP 1
MP 3 / Use the words higher, lower, greater, and less to compare two numbers / Compare three-digit numbers
MP 1 / Estimation / Estimate the number in a collection to 50 and then compare by counting the actual items in the collection / The skill of estimation is presented in a variety of ways throughout the program
Fractions / Understand meaning of fractions
Identify numerator and denominator
Shade and identify fractional parts of a region
Compare and order fractions
Explore uses of fractions
Use fractions in number stories

Operations

Addition and subtraction / Understand the meaning of addition/subtraction
Add/subtract using a number grid
Use symbols +, -, =
MP 1
MP 2
MP 3 / Use a variety of strategies to compose and decompose one-digit numbers / Use a variety of strategies to compose and decompose one-digit numbers (name collection box)
MP 1
MP 2
MP 4 / Develop and use strategies to solve addition and subtraction word problems / Make up and solve addition/subtraction number stories
MP 2
MP 3
MP 4 / Represent addition and subtraction word problems and their solutions as number sentences / Make up and solve addition/subtraction number stories
MP 2
MP 3 / Demonstrate fluency and apply addition and subtraction facts to and including 10 / Find patterns in addition/subtraction facts
MP 1
MP 2
MP 3 / Use a variety of strategies to compose and decompose one-digit number / Turn around facts
MP 2
MP 3
MP 4 / Create problem situations that represent a given number sentence / Word problems
MP 1
MP 2
MP 3 / Use a variety of strategies to solve addition and subtraction problems using one- and two-digit numbers with and without regrouping / Number models, Number stories, Adding and subtracting on number line
Dice sums
MP 2
MP 3 / Understand that different parts can be added to get the same whole / Domino addition, fact power, animal weights, easy facts, fact families

Algebra

MP 2
MP 3
MP 4 / Patterns / Determine and discuss patterns in arithmetic (what comes next in a repeating pattern, using numbers or objects) / Explore and extend visual patterns
Create patterns with 2-dimensional shapes

Geometry

MP 3
MP 4 / Shapes / Match shapes and parts of shapes to justify congruency / Create/complete symmetrical design
MP 2
MP 3
MP 4 / Recognize, name, describe, create, sort and compare two-dimensional and three-dimensional shapes / Recognize, name, describe, create, sort, extend designs, construct, and compare two-dimensional shapes (square, triangle, circle, rectangle, oval, and diamond) and three-dimensional shapes (cube, con, sphere)
MP 3
MP 4 / Experiment with slides, flips, and turns of two-dimensional shapes / Fold and cut symmetrical shapes
MP 4 / Identify symmetry in two-dimensional shapes / Identify lines of symmetry and symmetrical figures
MP 3
MP 4 / Recognize geometric shapes and structures in the environment / Attribute rules, geometric shapes

Measurement

MP 2
MP 3 / Length / Use non-standard units (including finger length, paper clips, students’ feet and places) to measure both vertical and horizontal lengths / Measure with non-standard units
Name tools used to measure length
MP 2
MP 4 / Informally explore the standard unit of measure, inch / Measure to nearest inch, foot, yard, centimeter, and meter
MP 2
MP 3 / Recognize length as an attribute that can be measured / Nonstandard linear measures, personal foot and standard foot, centimeter
MP 2
MP 3 / Estimation / Select and use nonstandard units to estimate measures / Personal foot, standard foot, 6 in. ruler, centimeter, quarters
MP 1
MP 2
MP 3
MP 4 / Money / Know vocabulary and recognize coins (penny, nickel, dime, quarter) / Recognize pennies, nickels, dimes, and quarters
MP 1 / Recognize the cent notation C / Use cent notation
MP 1
MP 2
MP 3
MP 4 / Use different combinations of coins to make money amounts up to 25 cents / Show money amounts with coins to $1.00
Add/subtract money amounts
Use dollar notation
Identify equivalencies and make coin/bill exchange
Recognize dollars
Solve money number stories
Make change
MP 1
MP 3 / Time / Tell time to the hour, using both digital and analog clocks / Tell time on the hour, half-hour, and quarter-hour
MP 1 / Know the days of the week and the months of the year in sequence / Use the calendar
MP 1 / Classify months and connect to seasons and other events / Number and name the months of the year
MP 1 / Recognize specific names (morning, noon, afternoon, evening)
Area / Investigate area
Temperature / Use a weather map
Use a thermometer
Use Fahrenheit and Celsius temperature scale
Solve temperature number stories
Weight / Identify customary units of weight
Use pan balance
Estimate and compare weights
Volume / Compare capacities of containers

Data (statistics, probability, and chance)

MP 1
MP 2 / Pose questions about themselves and their surroundings / Weather and temperature routines, timelines
MP 1
MP 2
MP 3 / Discuss conclusions and make predictions in terms of the words likely and unlikely / Investigating equally likely outcomes, compliments of ten, data collection, dice sums
MP 1
MP 2
MP 3
MP 4 / Collect and record data related to a question / Recording tally counts, weather and temperature routines, data collection
MP 1 / Graphing / Display data in simple pictographs for quantities up to 20 with units of one / Record data in a table/chart
MP 2
MP 3
MP 4 / Display data in bar graphs using concrete objects with intervals of one / Make a bar graph
MP 4 / Use Venn diagrams to sort and describe data / Compare two sets of data
MP 1
MP 2
MP 3 / Interpret data in terms of the words; most, least, greater than, less than, or equal to / Make predictions about data
Find the range, mode, median
MP 1
MP 2
MP 3 / Answer simple questions related to data and displayed in pictographs (eg. Category with most, how many more in a category compared to another, how many all together in two categories) / Tally marks, outcomes, compliments of ten, data collection, dice sums
MP 1
MP 2
MP 3 / Construct a question that can be answered by using information from a graph / Outcomes, compliments of ten, data collection, dice sums

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