Students will

• count to 100 by ones and tens.

• count forward given any number in a set.

• write numbers from 0-20.

• count objects demonstrating one to one correspondence between object and number.

• identify the last number counted in a set represents the total.

• count to answer “how many?” 0-20.

• compare number of objects between two groups (0-10); greater than, less than or equal to.

• compare two numbers in a set- 1-10.

• represent with objects, fingers, mental images, drawings, sounds that addition is putting together and adding to and subtraction is taking apart and taking from.

• fluently add and subtract within 5.

• solve addition and subtraction word problems within 10- using objects or drawings.

• identify number families (5=2+3, 5=3+2, 5=1+4, 5=4+1, etc.) with numbers 1-10.

• for any number 1-9, add to make 10, i.e. 2+8, 6+4, etc.

• understand that number 11-19 are composed of a group of ten and some ones.

• describe length and weight of objects.

• compare measurable attributes of objects to find out more/less, taller, shorter, etc.

• sort objects by common attribute- count and compare.

• identify two dimensional and three dimensional shapes.

• describe relative positions of objects (above, below, behind, beside, next to, in front of).

• create and compose shapes.

Students will

Numbers and Operations in Base Ten

• count, read, write, and represent numbers up to 120.

• understand place value in our base ten number system.

• compare two digit numbers.

• use place value and properties of operations to add or subtract.

Operations and Algebraic Thinking

• apply problem solving strategies using addition and subtraction with numbers up to 20.

• demonstrate fluency for addition and subtraction within 10.

• add and subtract within 20, composing and decomposing numbers using 10 as a landmark number.

• write and solve number sentences involving addition and subtraction within 20.

Measurement and Data

• organize, represent, and interpret data on a graph or chart.

• identify equal shares with fractions e.g.  ½, ¼.

• tells time to the hour and half hour.

• calculate the value of all US coins and makes exchanges, i.e. 2 nickels equals 1 dime.

• measure and compare the length of an object using nonstandard units.

Geometry

• describe attributes of two and three dimensional shapes .

Students will

• count within 1000, skip count by 5s, 10s and 100s.

• understand place value and the base ten number system to 1000.

• compare three digit numbers using >, <, and =.

• fluently add and subtract within 20 using mental strategies.

• determine odd and even numbers within 20, write an equation to express an even number.

• use addition to find the total in a rectangular array with up to 5 rows and 5 columns.

• add and subtract within 100 to solve one and two step word problems.

• fluently add and subtract within 100 using place value and properties of operations.

• mentally add or subtract 10 or 100 to any given number 100-900.

• measure and estimate length of objects using rulers, meter sticks, measuring tapes to the nearest inch, foot, centimeter, and meter.

• tell and write time from analog and digital clocks to the nearest five minutes using a.m. and p.m., know how many seconds in a minute, minutes in an hour, hours in a day, days in a week, a month, a year, and weeks in month and year.

• solve words problems with money using $ and ¢ accurately.

• show measurements on a line plot.

• draw a picture graph and a bar graph to represent data with up to four categories.

• identify triangles, quadrilaterals, pentagons, hexagons by number of angles and three dimensional shapes by number of faces.

• partition a rectangle into equal rows and columns of squares to find area.

• partition circles and rectangles into equal shares.

Students will

• fluently add and subtract within 1000 using place value strategies and properties of operations.

• use place value to round whole numbers to the nearest 10 or 100.

• multiply one digit whole numbers by multiples of 10 in the range 10-90 (e.g. 8x50, 9x80).

• memorize all products of two one-digit numbers.

• fluently multiply and divide within 100.

• understand inverse relationship between multiplication and division.

• understand commutative, associative, and distributive properties.

• explain a whole number product and quotient.

• use multiplication and division within 100 to solve word problems.

• solve for the unknown number in an equation 15= x 3, 8x=32, 9= ÷4, 12=96÷.

• solve two step word problems using the four operations.

• identify arithmetic patterns (4 times a number is always even).

• understand a fraction is part of a whole number partitioned equally.

• represent a fraction on a number line.

• identify and generate equivalent fractions.

• compare fractions.

• express whole numbers as fractions.

• tell and write time to the nearest minute, solve word problems involving elapsed time.

• measure and estimate liquid volume and mass using grams (g), kilograms (kg), and liters (l).

• draw a scaled picture graph and bar graph representing a data set, solve problems using data from scaled graphs.

• generate measurement data of length with marked whole numbers, halves, or quarters.

• recognize area as an attribute of plane figures and understand concepts of area measurement.

• measure areas by counting unit squares.

• relate area to the operations of multiplication and addition.

• solve real-world and mathematical problems involving perimeter of polygons.

• understand that shapes in different categories may share attributes and the shared attributes can define a larger category.

• partition shapes into parts with equal areas.

Students will 

• use the four operations to solve problems.

• interpret a multiplication equation as a comparison -42 is 6 times as many as 7.

• multiply or divide to solve word problem.

• solve multistep word problems with remainders. Interpret remainders and the reasonableness of answers.

• distinguish whether a number 1-100 is a prime or composite number.

• generate a number or shape pattern that follows a given rule (input-output table).

• read and write multi-digit whole number to the 1,000,000 place.

• compare two multi-digit numbers.

• round multi-digit number to any place value.

• fluently add and subtract multi-digit whole numbers using the standard algorithm.

• multiply a whole number of up to four digits by a one digit number, multiply two two-digit numbers.

• know multiplication facts through 12x12.

• find whole number quotients and remainders with up to four digit dividends and one digit divisors.

• extend understanding of equivalent fractions.

• compare fractions with unlike denominators.

• build fractions from unit fractions, e.g. 2/8=1/8+1/8.

• add and subtract mixed numbers with like denominators.

• solve word problems by adding and subtracting fractions.

• apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

• understand decimal notations for fractions and compare two decimals.

• solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

• represent and interpret data.

• recognize angles and measure angles.

• draw and identify lines (parallel, perpendicular) and angles (right, acute, and obtuse) and classify shapes by properties of their lines and angles.

• identify line symmetric figures and draw lines of symmetry.

Students will

• write equations for numerical calculations that involve parentheses.

• generate two numerical patterns using two rules.

• understand the base ten number system including decimal numbers.

• read, write, round, and compare decimals to the thousandths.

• fluently multiply multi-digit whole numbers using the standard algorithm.

• divide whole numbers by two digit divisors illustrate using equations, rectangular arrays, and area models.

• add, subtract, multiply, and divide decimals to hundredths.

• add and subtract fractions with unlike denominators.

• solve word problems involving adding and subtracting of fractions.

• solve real-world problems involving multiplication of fractions and mixed numbers.

• divide unit fractions, e.g. 1/3 by whole numbers and whole numbers by unit fractions.

• solve real world problems involving division by unit fractions.

• use positive and negative integers to describe quantities.

• convert standard measurement units- 5 cm=.05m.

• make a line plot with a data set of measurements in fractions of a unit.

• understand concepts of volume and relate volume to multiplication and addition.

• graph points on a coordinate plane to solve real-world problems.

• classify two dimensional figures into categories based on their properties. 

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