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## Grade 2 Semester 1

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### Semester 1 Week 1 – Numbers to 1,000

In working with numbers up to 1000, students build upon their foundational counting and number pattern skills, and apply these skills to work with larger numbers. Students will learn to use skip counting, estimation, place value understanding, and number comparisons to solve multi digit addition and subtraction problems. Students will interpret and utilize base ten representations and facts, to weave conceptual understanding with effective problem solving.

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### Semester 1 Week 3 – Addition to 1,000

Addition to 1000 moves students from concrete to abstract ability in adding multi digit numbers. Place value understanding and base ten interpretation are securely established in order to regroup numbers. Students can start by building numbers by place value with hands-on manipulatives, before moving on to pictorial representations of these numbers. Students should work with concrete and pictorial tools to develop a solid and conceptual understanding of regrouping. Finally, teach students to use conceptual understanding of each digit’s place value with the standard algorithm. Students develop mastery of regrouping within each place value in order to regroup larger numbers accurately and efficiently.

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### Semester 1 Week 5 – Subtraction to 1,000

In this lesson, students subtract three digit numbers with and without regrouping, utilizing understanding of place value. Students can start by building numbers by place value with hands-on manipulatives, before moving on to pictorial representations of these numbers. Students should work with concrete and pictorial tools to develop a solid and conceptual understanding of regrouping. Finally, teach students to use this conceptual understanding of each digit’s place value and regrouping with the standard algorithm.

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### Semester 1 Week 8 – Using Bar Models: Addition and Subtraction

Teach students how to use bar models as effective representations of unknown values and can be used in both addition and subtraction problems. In these lessons, the focus is on part-part-whole representation and comparison representation for bar models. In particular, students will need to identify missing parts or the whole from the word problem and represent them visually in a bar model. Bar models can also be used in solving complex number contexts found in two or more step word problems.

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### Semester 1 Week 10 – Multiplication and Division

Teach students to use addition within arrays to set up multiplication expressions. Additionally, teach them to practice division through the idea of equal sharing and equal groups. Introduce common language between the operations helps students to understand the relationship between multiplication and division. Finally, teach students that two addends will always result in an even sum. This mirrors the understanding that all even numbers can be split equally in half, which reinforces doubles facts and prepares students for fractions.

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### Semester 1 Week 12 – Multiplication Tables of 2, 5 and 10

Students can begin to work on learning multiplication tables through the numbers 2, 5, and 10. They should have been exposed to 2s and 10s through skip counting, place value, and number patterns. These multiplication tables set the stage for finding the product of multiplication expressions, and their related division equations. Students can also be introduced to the associative and distributive properties of multiplication, which they will use with larger numbers in future lessons. Using these properties helps students work with large or multiple numbers into parts that are more accessible.

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### Semester 1 Week 15 – Length

Teach students to measure length with relevant tools accurately, using logic and sense of objects measured, as well as understanding that measurement tools use standardized intervals. Students will also learn to measure objects with different units and to estimate lengths based on existing knowledge of standards lengths. Students will also compare different lengths relative to each other or to an outside reference point.

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### Semester 1 Week 17 – Mass and Volume(Optional)

This lesson focuses on reading scales of weighed objects or pictorial representations of weighed objects on scales. They will compare masses in standardized units and use logic to answer questions about weighed masses and volumes, and use bar models to solve real life type word problems.