Curriculum for Grade 1

Students explore the composition of numbers 3-5 through visual models. They use objects, base-10 blocks, and equations.

Students explore the composition of numbers 6-10 through visual models. They use objects, base-10 blocks, and equations. Base-10 models use a 5-group configuration to move students from counting all to counting on.

Students count on to add 1, 2, or 3 in equations. They use manipulatives, visual models, and even fingers to solve equations.

Students reinforce their understanding of addition within 10 and its underlying concepts as they build more efficient strategies to solve problems. They use addition scenarios with objects, base-10 block patterns, the number line, and equations to reinforce the relationships among fact families. They build upon existing knowledge of composition of numbers 6-10 as they move from the concrete to the abstract.

Students reinforce thier understanding of subtraction within 10 and its underlying concepts as they build more efficient strategies to solve problems. They explore the relationship between addition and subtraction and work increasingly with 0 as a subtrahend and difference. They use subtraction scenarios with objects, base-10 block patterns, the number line, and equations to reinforce the relationships among fact families. They build upon existing knowledge of composition of numbers 6-10 as they move from the concrete to the abstract.

Students reinforce the relationship between addition and subtraction and the relationships among fact families. They use familiar objects, base-10 blocks, the number line, and equations to explore the composition of numbers 3-10. They build speed and accuracy with all +/- facts within 10.

Students reinforce their understanding of "tens" and "ones" while sorting, counting, adding, and subtracting. They use objects, base-10 blocks, the number line, and a ten-frame. They practice various strategies to add across 10 and increase fluency with +/- facts within 20.

Students explore place value as they add and subtract across 10. They use multiple representations (objects, ten-frame, number line, base-10 blocks, and equations) to move from the concrete to the abstract. Students build their fluency with +/- facts within by reinforcing the underlying concept of exchanging and using the strategy of "resting" on 10. They also solve +/- problems in which all ones or all tens are added or subtracted.

Students further explore the concept that a two-digit number is composed of a round number (tens) plus ones. They determine totals, decompose numbers, add, and subtract. Students use familiar objects, base-10 blocks, ten-frames, equations, and number names along with place value cards. Note that the "coins" used are to reinforce the concept of tens, fives, and ones, not coin recognition.

Students compare and order numbers, reinforcing their understanding of place value and sequence. They use familiar base-10 blocks, number line, and begin using inequality signs.

Students work with round numbers to reinforce place value understanding of 10 more and 10 less. They use equations and the number line to solve addition problems and counting patterns.

Students rely on growing understanding of exchanging to model and solve two-digit addition problems with exchanging using familiar models and new strategies.

Students use familiar representations (objects, ten-frames, base-10 blocks, number line, place value cards, number names, and equations) to extend their place value understanding to higher numbers within 100. They begin building their mental model of the hundred chart by understanding the relationship between numbers in columns and rows. They reinforce the understanding that 2-digit numbers are composed of a round number (or tens) plus ones.

Students use familiar base-10 blocks, number line, and equations to work with round numbers. They rely on counting, place value, and addition/subtraction skills to solve problems. Students use familiar manipulatives to solve two-digit addition problems with and without exchanging. They also solve two-digit subtraction problems without exchanging.