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Grade 2 Important Math Information Geometry Dear Family, Our class is starting a new unit of study in mathematics called Geometry. This unit of study focuses on 2-D and 3-D shapes and rectangular arrays. We will also work on addition doubles facts and subtraction plus 1, plus 2, and make 10 facts. The specific learning goals your student will be working toward are listed below with examples of student work showing understanding of each learning goal. Learning Goal: Recognize and draw 2-D and 3-D shapes. Example Problems Example Student Solutions Hexagon Draw a hexagon, triangle, rectangle, and pentagon. Triangle 3 sides 6 sides Rectangle Tell how many sides each shape has. Pentagon 4 sides 5 sides “3-D shapes are solids. To draw the shape, I am picturing dice. All of the faces of a die are squares.” Draw a 3-D shape that has 6 faces. Each face is a square. “The math name for the shape is a cube.” What is the name of the shape? This is a cube. “ CCPS Elementary Mathematics Learning Goal: Partition a rectangle into rows and columns of squares and be able to count to find the total number of squares. Example Problem Example Student Solution Make a rectangle from 8 squares. Describe your rectangle. My rectangle has 2 rows of squares and 4 columns of squares. It was made from 8 squares. Learning Goal: Use addition to find the total number of objects arranged in an array and be able to write an equation to represent the repeated addition. Example Problem Example Student Solutions How many cans of juice are in the array? Write an equation to show how you can find the total. There are 3 rows of juice, each row has 4 cans of juice. 4 + 4 + 4 = 12 cans of juice CCPS Elementary Mathematics Learning Goal: Fluently add doubles combinations and be able to fluently subtract related plus 1, plus 2, and make 10 combinations. Example Problems Example Student Solutions Doubles Addition: 8+8= 9+9= Related Plus 1 Subtraction: 7–1= 7–6= Related Plus 2 Subtraction: 6–2= 6–4= 8 + 8 = 16 9 + 9 = 18 7–1=6 7–6=1 “I know that 6 + 1 = 7. I can use this fact to solve 7 - 1 and 7 – 6.” 6–2=4 6–4=2 “I know that 4 + 2 = 6. I can use this fact to solve 6 - 2 and 6 - 4.” Make 10 Subtraction: 10 – 4 = 10 – 6 = “I have been practicing doubles facts for a long time. These are facts I now just know.” 10 – 4 = 6 10 – 6 = 4 “It’s easy to subtract numbers from 10. I just think about what two numbers together make 10. Since 4 + 6 make 10, then 10 – 4 = 6 and 10 – 6 = 4” Mathematical Thinking and Practices Learning Goal: Use numbers and symbols to represent situations and understand how the numbers and symbols relate to the situations. Things you can do at home to support your student throughout this unit of study: Making Shapes Make shape pictures out of shapes cut from paper. Cut a variety of shapes (for example, squares, rectangles, triangles, circles, and hexagons) for your child to glue onto a background. You might like to do this as a family mural, adding shapes over a period of time to create a scene. Shapes can be combined. Markers and/or crayons can be used to add details. Math and Literature Here are some children’s books that contain ideas related to our work in this geometry unit of study. You can find many of them in your local public library. o Burns, Marilyn. The Greedy Triangle o Friedman, Aileen. A Cloak for the Dreamer o Hoban, Tana. Shapes, Shapes, Shapes o Greene, Rhonda Gowler. When a Line Bends . . . A Shape Begins CCPS Elementary Mathematics o Pluckrose, Henry. Math Counts: Shapes o Schulz, Charles M. How to Draw Peanuts CCPS Elementary Mathematics