Grade 1

NUMBER SENSE and NUMERATION: Develop an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.

OPERATIONS and ALGEBRAIC THINKING : Use basic and advanced procedures while performing the processes of computation and apply basic and advanced properties of functions and algebra.

MEASUREMENT Estimate and measure in both customary and metric measurements of length, weight, capacity, temperature, time and money.

GEOMETRY Analyze characteristics and properties of two and three dimensional geometric shapes and develop mathematical arguments about geometric relationships.

STATISTICS, PROBABILITY, AND DATA ANALYSIS

Count with understanding and recognized “how many” in sets of objects

Use multiple models to develop initial understanding of place value and the base- 10 number system

Add and subtract multiples of 10 in a range 10-90, using concrete models or drawings and strategies based on place value.

Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.

Connect number words and numerals to the qualities they represent, using various physical models and representations

Understand and represent commonly used fractions 

Understand patterns, relations and functions.

Describe, extend and analyze patterns such as a sequence of geometric or numeric patterns and make generalizations about how the pattern is generated.

Understand meanings of operations and how they relate to one another. (Computation)

Illustrate general principles and properties of operations, such as the commutative and associative properties, using specific numbers

Use concrete, pictorial and verbal representations to develop an understanding of conventional symbolic notations

Understand measurable attributes of objects and the units, systems, and processes of measurement

Understand how to measure using non- standard and standard units

Apply appropriate techniques, tools, and formulas to determine measurements

Recognize, name, build, draw, compare, and sort and classify two and three dimensional shapes.

Describe attributes and parts of two and three dimensional shapes.

Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

Apply transformations and use symmetry to analyze mathematical situations

Use visualization, spatial reasoning, and geometric modeling to solve problems

Recognize geometric shapes and structures in the environment and specify their location.

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer the question.

Develop and evaluate inferences and predictions that are based on data

Count, read and write numbers 0-120

Count forward, in a range, beginning with any number 0-120

Identify and writes missing numbers in a series through 300.

Identify the number of groups of ten and ones in numbers less than 100

Identify that 10 can be thought of as a bundle of ten ones – called a “ten” 

Use expanded form to represent numbers less than 100. (35 represented as 3 tens and 5 ones.

Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, <, =

Add and subtract multiples of 10 in a range 10-90, using concrete models or drawings and strategies based on place value.

Compare whole numbers up to 120 and arrange them in numerical order

Name the number that is ten more or less than any number up to 120 

Identify ordinal numbers first-tenth and show position (i.e., find the fifth person in line)

Show equivalent forms of the same number (up to 20) using objects, diagrams, numbers and equations (i.e., 15=8+7, 15=10+5)

Recognize and represent number words through twenty

Recognize equal parts of an object.

Recognize shapes 1⁄2 and 1⁄4

For a shape divided into four or less congruent (equal) parts, describe the shaded portion as “___ out of ___ parts”

For a set of four or fewer objects, describe a subset as “____ out of ____ objects”

Classify and sort a variety of objects with varying attributes such as length, shape, capacity, weight and temperature

Skip count by 2’s, 5’s, 10’s to 100.

Recognize odd and even amounts

Describe the rule of a variety of patterns.

Demonstrate fluency and automaticity of addition and subtraction facts (sums to 12) (begin working on sums to 18)

Add and subtract whole numbers of at least two digits, demonstrating fluency with standard algorithms (no regrouping)

Describe the role of zero in addition and subtraction

Compute addition sentences with more than 2 single digit addends (1+2+3=6)

Understand the inverse relationship between addition and subtraction (Fact Families – 4+2=6, 6-4=2)

Find a missing number in an addition or subtraction equation. (i.e., 8 + __ = 11)

Understand situations that entail multiplication and division such as equal groupings of objects or dividing sets into equal groups (ten or fewer objects)

Divide a set of less than 20 objects into smaller groups of equal size

Represent the concept of multiplication as repeated addition

Apply the commutative and associative properties for addition. (i.e., 7+6+4=...students should be able to see 6+4 = 10 and 10+7 is 17)

Identify, define, and use the >,<, +,-,= symbols

Time - Identify the hour and minute hands on a clock and describe their function

Time - Identify time to the hour and half hour on an analog and digital clock. 

Time - Tell time to the nearest 30 minute interval.

Time - Determine elapsed time to the hour.

Capacity - Identify measures of capacity (cup, pint, quart, liter)

Length - Identify measures of length (inches, centimeters, yard, meter) 

Weight - Identify measures of weight (pound, kilogram)

Money - Identify the values of all U.S. coins and know their comparative value (i.e., dime is greater value than a nickel)

Money - Find equivalent values of money (i.e., nickel = 5 pennies)

Money - Use appropriate notation (i.e., 69¢ and $ and decimal)

Temperature - Identify measures of temperature (degrees in Fahrenheit)

Length – Capacity – Compare and order a group of objects based on appropriate non-standard and standard units of measure.

Length - Express the length of an object as a whole number of length units.

Length - Understand that the length measurement of an object is the number of same-side length units that span it with no gaps or overlaps.

Weight - Describe the relationship of heavy/light on a balance scale. 

Time – Describe the function of a calenda

Temperature – Describe the function of a thermometer.

Money – Demonstrate counting the value of coins.

Select the appropriate tool for the attribute being measured (ruler, measuring cup, clock, calendar, scale, thermometer)

Select the appropriate unit for the attribute being measured. (i.e., ruler/yard or meter stick, cup/liter)

Length – Measure length of an object to the nearest inch and centimeter.

Capacity (Volume) – Measure capacity using measuring cups

Time – Measure using a calendar and clock 

Temperature – Measure using a thermometer

Weight – Measure weight using a balance scale.

Construct or compose two dimensional (plane – rectangles, squares, trapezoids, triangles, half- circles, and quarter-circles) and three dimensional (solid) shapes (cubes, right rectangular prisms, right circular cones and right circular cylinders) to create a composite shape and compose new shapes from the composite shape

Sort and classify two- dimensional (plane) and three- dimensional (solid) shapes by size, shape and number of sides, faces, vertices (corners), edges and other attributes

Identify, describe, compare, and sort two-dimensional (plane - rectangles, squares, trapezoids, triangles, half-circles, and quarter- circles) and three-dimensional (solid - cubes, right rectangular prisms, right circular cones and right circular cylinders) shapes

Arrange and describe objects in space by position and direction: near, far, left, and right.

Demonstrate direction and distance on a plane using right, left, up and down.

Use a coordinate grid, move the correct number of spaces to the right and up to find an object on the grid.

Describe the relationship between points on a map.

Partition circles and rectangles into two and four equal shares. Describe shares of wholes using the words halves, fourths, quarters

Recognize and draw lines of symmetry.

 Create new images combining mental images of geometric shapes

 Create new images combining mental images of geometric shapes not change the attributes of basic shapes.

Identify two-dimensional and three-dimensional shapes in various environments

Gather, organize, represent and interpret data with up to three categories.

Represent data using a bar graph, pictograph, or tally graph

Interpret the data or graph, answer questions regarding most, least, how many more/less, how many in all

Predict and determine an event to be certain, probable, impossible

Using a set of data, predict an event to be more, less, or equally likely of occurring