1st grade Math

What we learn...

1. Operations and Algebraic Thinking 2. Numbers and Operations in Base Ten - Extend the counting sequence

3. Measurement and Data 4. Geometry - Reason about shapes and their attributes

Learning Goals for 1st Grade Math Common Core State Standards

Operations and Algebraic Thinking

Represent and solve problems involving addition and subtraction.

1.OA.A.1 . I can add and subtract within 20 to solve word problems about combining or separating. I can add and subtract within 20 to solve word problems about comparing.

1.OA.A.2 I can add three numbers with sums to 20 to solve word problems. I can use objects or drawings to represent word problems. I can use equations to represent word problems.

Understand and apply properties of operations and the relationship between addition and subtraction.

1.OA.B.3 I can apply the commutative property for addition. I can apply the associative property when adding three numbers.

1.OA.B.4 I can relate subtraction to finding a missing addend.

Add and subtract within 20.

1.OA.C.5 I can relate counting on or back to adding or subtracting 1 or 2. I can relate counting on or back to adding or subtracting 3.

1.OA.C.6 I can add fluently within 10. I can subtract fluently within 10. I can find sums greater than 10 by decomposing to make 10. I can subtract from numbers greater than 10 by decomposing to make 10. I can subtract by recalling addition facts. I can add and subtracti within 20 (using various strategies).

Work with addition and subtraction equations.

1.OA.D.7 I can determine if equations involving addition and/or subtraction are true or false.

1.OA.D.8 I can find a missing number in an addition equation. I can find a missing number in a subtraction equation.

Number and Operations in Base Ten - Extend the counting sequence.

1.NBT.A.1 I can count to 120, starting at any number less than 120. I can read and write numbers to 120. I can represent a number of objects to 120 with a written numeral.

Understand place value.

1.NBT.B.2 I can understand that the two digits of a two‐digit number represent amounts of tens and ones. I can understand how to represent numbers from 11 to 19 as a 10 and ones. I can understand that 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to tens with no ones.

1.NBT.B.3 I can compare numbers to 20 using the symbols >, =, and <. 5. I can compare two 2‐digit numbers using the symbols >, =, and <.

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

1.NBT.C.4 I can add within 100 using models or drawings. I can add a two‐digit number and a one‐digit number. I can add a two‐digit number and a multiple of 10. I can add two two‐digit numbers, with or without composing a ten.

1.NBT.C.5 I can mentally find 10 more or 10 less than any two‐digit number.

1.NBT.C.6 I can subtract with multiples of 10 using models or drawings. I can subtract with multiples of 10 using place value. I can subtract with multiples of 10 by relating to addition.

Measurement and Data

Measure lengths indirectly and by iterating length units.

1.MD.A.1 I can order three objects by length. I can compare the lengths of two objects indirectly by using a third object.

1.MD.A.2 I can repeat a short object end‐to‐end to measure a longer object. 4. When measuring, I know that there cannot be gaps or overlaps.

Tell and write time

1.MD.B.3 can tell and write time in hours using analog clocks. I can tell and write time in half‐hours using analog clocks. I can tell and write time in hours and half‐hours using digital clocks.

Represent and interpret data.

1.MD.C.4 I can organize and represent data with up to three categories. I can interpret data with up to three categories.

Geometry - Reason with shapes and their attributes.

1.G.A.1 I can sort shapes by a defining attribute such as the number of sides. I can draw shapes with a given defining attribute.

1.G.A.2 I can combine two‐dimensional shapes (rectangles, squares, trapezoids, triangles, half‐circles, and quarter‐circles) to create a composite shape. 4. I can combine three‐dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape.

1.G.A.3 I can 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.

Math: 1st Grade

from Scholastic Parents at https://www.scholastic.com/parents/school-success/school-success-guides/guide-to-1st-grade.html

First graders continue to develop their addition and subtraction skills, gaining a deeper understanding of the concepts as they practice and gain mastery of these skills. In many classes, math tools and manipulatives such as blocks, tiles, and different shapes are used to help students practice math using concrete, visible objects. This helps students truly understand the concepts underlying the math they learn. In addition, students in 1st grade may begin to write about the math they do, answering questions about how they solve problems and understand things.

In order to build math skills, your 1st grader:

  • Adds and subtracts numbers 1-20, solves word problems by using objects, drawings, and traditional equations (with the plus and minus signs).

  • Adds 3 numbers that add to a number up to 20.

  • Solves addition and subtraction problems by adding up or subtracting smaller numbers, for example: 10+4 = 10+2+2 and 15-6 = 15-2-2-2.

  • Learns the relationship between addition and subtraction, for example: 2+3=5 and 5-3=2.

  • Counts out and groups objects in order to solve single digit addition and subtraction problems.

  • Counts and writes the numbers 1 to 120, starting from any number less than 120.

  • Understands and creates numbers using 10 as a base, for example: 12 = 1 ten and 2 1’s.

  • Compares two 2 digit numbers using the <, >, and = signs.

  • Adds up to100 using objects and the concept of 10’s.

  • Subtracts or adds 10 to a 2 digit number in her mind, without counting, and subtracts by 10 from numbers 1-90, using concrete objects or tools.

  • Orders three objects by length.

  • Begins to tell and write time using both digital and analog clocks.

  • Understands data; specifically, the total number of data points, how many are in each category, and how many more or less there are in a category.

  • Understands the definition of and difference between shapes and creates shapes using this knowledge.

  • Creates 2 and 3 dimensional shapes.

  • Breaks up circles and rectangles into two and four equal parts, and understands that the parts are halves, fourths, and quarters, and that smaller parts make up larger ones.

Math Activities

  • Add It Up and Shop: When you are in the store together, ask your child to add together different things, for example: how many fruits you bought, how many boxes of something, or how many different types of fruit and vegetables.

  • Greater or Less Than?: Make three cards, one with the < sign, one with > sign, and one with an = sign. Then play a game in which you put down two numbers (also on papers). Ask your child to put the correct sign between the numbers and do this is as fast as possible, seeing how many rounds he can get correct in a certain amount of time. Track how many your child got right and ask him to beat his record another time in the future.

  • Build Things: Use blocks or other building toys to construct houses, towers, vehicles etc. As you build, count pieces by tens, add and subtract pieces, and pay attention to the different shapes you use.

  • Take a Poll: Ask family members a question and create a graph of the answers using numbers and pictures. Ask your child questions about the different “data” you collected.

  • Order Up: Compare the sizes of different objects. Ask your child which object is larger, smaller and smallest. Ask your child to order some of his toys in size order. Time him to see how fast he can do this!

  • Set the Table: Setting the table for meals can include lots of math as you and your child add the total numbers of utensils, plates, chairs, etc.