As more and more traditional schools have adopted Montessori education, we are proud to offer our common core task cards across grades and content areas. These cards are not intended to shift the Montessori curriculum, but on the contrary, to demonstrate how the Montessori materials are already fulfilling the 21st-century approach to math learning.Mathematics Task Cards
In this post, we would like to share with you Mathematics Grade 1 Common Core Task Cards. This post will guide you through understanding how children can practice and demonstrate their math skills using our Task Cards. The Task Cards used in conjunction with Montessori materials will help children meet and exceed the expectations set by States standards.
Common Core Standards were established in 2009 and implemented across the country in the following years. Traditional schools have been encouraged to implement these standards, and among them are the following math standards across the grades:
- Standards NBT – Number and Operations in Base Ten
- Standards OA – Operations and Algebraic Thinking
- Standards MD – Measurement & Data
- Standards G – Geometry
Our Mathematics Task Cards for Grade 1 will serve as examples in this post. The material is clearly and simply organized. It consists of 150 task cards divided into the four categories mentioned above. In addition, children will find record-keeping sheets to keep track of their work, which helps them get organized and take ownership of their learning. We will list below the necessary materials used in Mathematics Grade 1 Task Cards:
Materials:
- Stamp Game or Stamp Game (Premium Quality)
- Golden Bead Bank Game (7MM)
- Geometric Cabinet or Geometric Cabinet (Premium Quality)
- Large Clock with Seconds Stamp
- 12-Hour Student Clock, Set of 6
- Clock with Movable Hands (Premium Quality)
- Constructive Triangles (Set of all 5 Boxes) or Constructive Triangles (Premium Quality)
- Geometric Stick Material
- Math Grade 1 Task Cards
- Math Grade 2 Task Cards
- Math Grade 3 Task Cards
- Math Grade 4 Task Cards
- Math Grade 5 Task Cards
- Math Grade 6 Task Cards
or
Please click here for Complete Sets of Task Cards with corresponding Value Line or Premium Quality materials.
Standards NBT – Number and Operations in Base Ten
Number and Operations in Base Ten standards recommend that children extend their counting sequence up to 120 using symbolic and numerical representation. They continue consolidating their understanding of place value (units, tens, hundreds.) Finally, they demonstrate their ability to use place values to add and subtract numbers with 1 or 2 digits. As you can see in the pictures below, we employ the Stamp Game to have children visualize quantities and have them write the standard forms (43) and extended forms (40 + 3.) Children are also asked to identify the place value of a digit in a given number. For example, a question might be, “Using the Stamp Game, lay out the number 101. Write this in your math copybook in standard and expanded form. What digit is in the tens place?” Another set of questions might provide children with a series of numbers between 1-and 120 which children must write in order. Finally, children are asked to add or subtract 10 from a given number without counting.
Standards OA – Operations and Algebraic Thinking
“Operations” involves working with addition and subtraction that result in less than 20, while “Algebraic Thinking” means working with unknown values in an equation (7 – ___ = 4.) “Algebraic Thinking” emphasizes the use of the reversed equations to obtain a sum or a difference (7 – __ = 4 is 4 + ? = 7). To cater to these learning standards, our Task Cards ask children to use the Stamp Game and Bead Box (1-9 in a Box) to add and subtract numbers and solve word problems. The long chains are used to practice skip counting and reinforce mental calculation. We have added a few exercises with money, which will be further reinforced in Grade 2.
Standards MD – Measurement & Data
In First Grade, children work on “Measurement and Data.” They are expected to demonstrate a basic understanding of units of measurement in standard (inch) or metric systems (centimeter.) They also continue working with analog clocks (hours and half-hours,) and data interpretation and representation. In our Task Cards, children will be asked to measure an assortment of common objects around the classroom using different objects for measurement (golden beads, a foot-long object, a metric or inch ruler.) This practice aims to keep the child’s mathematical mind flexible. Units of measurement can vary. The way they are used is by stacking the same unit over and over to measure a given object. In addition, children are asked to draw familiar objects such as a house or a car with provided measurements. To further their knowledge of time telling, children continue working with time-telling manipulatives by demonstrating how to represent hours and half-hours either by using a clock or by drawing it on paper (as seen in the pictures below.) Finally, children are provided opportunities to work with various data representations using T-chart, tally marks, and picture graphs. This preparatory work helps learners understand that we can better communicate information (data) when it is visually organized.
Standards G – Geometry
As its name indicates, Standards G is all about geometry. It is without saying that geometry is a Montessori specialty, which is introduced to children as young as three! To satisfy these standards, you will find our Task Cards very effective. The G standards recommend that children work on reasoning with shapes and their attributes, that they can trace 2- and 3-dimensional shapes, and that they are able to describe equally shared shapes using terms such as halves, thirds, and quarters. Using our Task Cards, children are invited to work extensively with the Geometric Cabinet by sorting shapes and categorizing them based on attributes such as sides, regularity/irregularity, etc. They are also asked to trace and label shapes. Using the Constructive Triangles, children learn to create new shapes using multiple triangles. This practice helps them gain awareness that triangles have the property to generate a multitude of other shapes. The Geometric Stick Material also allows children to build shapes using sticks. This practice emphasizes attributes such as sides, vertices, and amplitude. The shapes can be shifted in different directions, allowing children to visualize how commonalities such as between a rectangle and a parallelogram, a square, and a rhombus (same sides lengths with different angles). Finally, children return to the Geometric Cabinet to trace shapes and split them into equal parts with a ruler. They observe concepts such as fraction and symmetry and continue to label the fractional parts they obtain by dividing shapes into equal portions.
Geometry Cabinet
Constructive Triangles Boxes
Geometry Sticks Box
This concludes our demonstration of Mathematics Task Cards – Common Core Grade 1. We hope you were able to navigate through the standards with us. The Montessori materials often time meet or exceed math national standards. You will find sets of Mathematics Task Cards for grades 2, 3, 4, 5, and 6.
Visit our website at www.alisonsmontessori.com for more Montessori materials, supplemental materials, curriculum materials, and furniture.