PA Core Standards For Mathematics Curriculum Framework Grade Level 1

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OCT 206 PA Core Standards For Mathematics Grade Level Numerical Count to 20, starting at any CC.2...B. Sequence number less than 20. Place Value Read and write numerals up to 20 and represent a number of objects with a written numeral. Compare two two-digit numbers based on meanings of the tens and ones digits, CC.2...B.2 CC.2...B.3 Addend Addition Analog Circle Compare compose/ Cone Counting on Cube Cylinder Data decompose Equal to Fourths Fractions Greater than Half circles Half-hour Halves Hour Length Less than Making ten Ones Place value Quarter-circles Quarters Rectangle Rectangular Prism Square Subtraction Sum Tens Trapezoids Triangle

OCT 206 PA Core Standards For Mathematics Grade Level recording the results of comparisons with the symbols >, =, and <. How can inequalities be used to quantify, solve, model, and/or analyze mathematical Addition and Subtraction Add within 00, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 0 using concrete models or drawings. Relate the strategy to a written method and explain the reasoning used. Subtract multiples of 0 in the range 0-90, using concrete models or drawings. Relate the strategy to a written method and explain the reasoning used. Use addition and subtraction within 20 to solve word problems by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. Add and subtract within 20. Use strategies such as counting on; making ten; decomposing a number leading to a ten; using the relationship between addition and subtraction and creating equivalent but easier or known sums. Solve word problems that call for addition of three whole numbers whose sum is less than CC.2.2..A. 2

Grade Level or equal to 20. How can inequalities be used to quantify, solve, model, and/or analyze mathematical Properties of Operations Apply properties of operations as strategies to add and subtract (commutative property of addition; associative property of addition). Understand subtraction as an unknown-addend problem. For example, subtract 0 8 by finding the number that makes 0 when added to 8. CC.2.2..A.2 How can patterns be used to describe relationships in mathematical Two and Three Dimensional Compose two and threedimensional shapes and distinguish between attributes. CC.2.3..A. Geometric relationships can be described, analyzed, and classified based on spatial reasoning and/or visualization. How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems? Build and draw shapes to possess attributes. How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving? OCT 206 How can geometric properties and theorems be used to describe, model, and analyze 3

Grade Level How can patterns be used to describe Fractions CC.2.3..A.2 relationships in mathematical Geometric relationships can be described, analyzed, and classified based on spatial reasoning and/or visualization. How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems? Partition circles and rectangles into two and four equal shares. Understand that decomposing into more equal shares creates smaller shares. How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving? OCT 206 Measurement attributes can be quantified, and estimated using customary and noncustomary units of measure. When is it is appropriate to estimate versus calculate? Why does what we measure influence how we measure? In what ways are the mathematical attributes of objects or processes measured, calculated and/or Measurement Order three objects by length; compare the lengths of two objects indirectly by using a third object. Use standard and non-standard units of measure to express the length of an objects a whole number of length units. Understand that the length measurement of an object is the number of same-size length units. Understand that the length measurement of an object is CC.2.4..A. 4

Grade Level interpreted? the number of same-size length units. How precise do measurements and calculations need to be? Time Tell and write time in hours and CC.2.4..A.2 half hours using analog and digital clocks. When is it is appropriate to estimate versus calculate? How precise do measurements and calculations need to be? Mathematical relations and functions can be modeled through multiple representations and analyzed to raise and answer questions. Why does what we measure influence how we measure? How can data be organized and represented to provide insight into the relationship between quantities? Represent and Interpret Data Organize, represent, and interpret data with up to three categories. Ask and answer questions about the data. CC.2.4..A.4 Data can be modeled and used to make inferences. How does the type of data influence the choice of display? How can probability and data analysis be used to make predictions? OCT 206 5