Operations and Algebraic Thinking

Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart and comparing, with unknowns in all positions.

Properties of Operations

Apply properties of operations as strategies to add and subtract.

Properties of Operations

KY.1.OA.3

Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, by using objects, drawings and equations with a symbol for one unknown number to represent the problem.

KY.1.OA.2

KY1.OA.4 Understand subtraction as an unknown-addend problem. KY.1.OA.5 Relate counting to addition and subtraction. KY.1.OA.6 Add and subtract within 20. a.Fluently add and subtract within 10. b.Add and subtract within 20, demonstrating fluency for additionand subtraction within 10. Use strategies such as counting on;making 10; decomposing a number leading to a 10; using therelationship between addition and subtraction; treating equivalent but easier or known sums.

Number Sentences

KY.1.OA.7 Understand the meaning of the equal sign and determine if equations involving addition and subtraction are true or false. KY.1.OA.8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.

Mental Math

Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.

Comparing Numbers

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

Counting to 120

Count and represent numbers. a. Count forward to and backward from 120, starting at any number less than 120. b. In this range, read and write numerals and represent a number of objects with a written numeral.

Tens & Ones

Understand the two-digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: a. 10 can be thought of as a bundle of ten ones — called a “ten.” b. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight or nine ones. c. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight or nine tens (and 0 ones).

Tens & Ones

KY.1.NBT.2

Add within 100 including adding a two-digit number and a one-digit number. Add a two-digit number and a multiple of 10. a. Add within 100 using… • concrete models or drawings; • strategies based on place value; • properties of operations; • the relationship between addition and subtraction. b. Relate the addition strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.

Subtract Multiples of 10

Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences). a. Subtract using: • concrete models or drawings; • strategies based on place value; • properties of operations; • the relationship between addition and subtraction b. Relate the subtraction strategy to a written method and explain the reasoning used.

Shape Attributes

Distinguish between defining attributes versus non-defining attributes; build and draw shapes to possess defining attributes.

Composite Shapes

Compose shapes. a. Compose two-dimensional shapes to create rectangles, squares, trapezoids, triangles, half-circles and quarter-circles composite shape and compose new shapes from the composite shapes. b. Use three-dimensional shapes (cubes, right rectangular prisms, right circular cones and right circular cylinders) to create a composite shape and compose new shapes from the composite shapes.

Partitioning Into Equal Shares

Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths and quarters, and use the phrases half of, fourth of and quarter of. Describe the whole as two of or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

Length of an Object

Express the length of an object as a whole number of same-size length units, by laying multiple copies of a shorter object (the length unit) end to end with no gaps or overlaps.

Ordering Objects by Length

Order three objects by length; compare the lengths of two objects indirectly by using a third object.

Tell and Write Time

Assign values to time and money. a. Tell and write time in hours and half-hours using analog and digital clocks. b. Identify the coins by values (penny, nickel, dime, quarter).

Interpreting Data

Investigate questions involving categorical data. a. Pose a question that can be answered by gathering data. b. Determine strategy for gathering data from peers. c. Organize and represent data in a table/chart with up to three categories. d. Interpret data to answer questions about the table/chart that connects to the question posed, including total number of data points, how many in each category and how many more or less are in one category than in another.