## Math

Numbers 1-10 Kindergarten Math Numbers 1-10 Kindergarten Math Money Kindergarten Math Count and write 1-10 Kindergarten Math Shapes First Grade Math Shapes Kindergarten Math Shapes Kindergarten Math ### PA.CC.2.G. Geometry

#### Reason with shapes and their attributes.

##### 2.G.1. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

##### 2.G.3. Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

### PA.CC.2.MD. Measurement and Data

#### Measure and estimate lengths in standard units.

##### 2.MD.1. Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.

##### 2.MD.4. Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.

#### Relate addition and subtraction to length.

##### 2.MD.6. Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, ..., and represent whole-number sums and differences within 100 on a number line diagram.

#### Represent and interpret data.

##### 2.MD.10. Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

##### 2.MD.9. Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.

#### Work with time and money.

##### 2.MD.7. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.

### PA.CC.2.NBT. Number and Operations in Base Ten

#### Understand place value.

##### 2.NBT.1. Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:

###### 2.NBT.1(a) 100 can be thought of as a bundle of ten tens -- called a ''hundred.''

###### 2.NBT.1(b) The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

##### 2.NBT.2. Count within 1000; skip-count by 5s, 10s, and 100s.

##### 2.NBT.3. Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

##### 2.NBT.4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and <. symbols to record the results of comparisons.

#### Use place value understanding and properties of operations to add and subtract.

##### 2.NBT.5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

##### 2.NBT.6. Add up to four two-digit numbers using strategies based on place value and properties of operations.

##### 2.NBT.7. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

##### 2.NBT.9. Explain why addition and subtraction strategies work, using place value and the properties of operations.

### PA.CC.2.OA. Operations and Algebraic Thinking

#### Add and subtract within 20.

##### 2.OA.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.

#### Represent and solve problems involving addition and subtraction.

##### 2.OA.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

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