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## Grade 4 Semester 1

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### Semester 1 Week 1 – Numbers to 100,000

In Numbers to 100,000, students apply place value mastery by counting and comparing numbers by units of hundreds, thousands, and ten thousands. They will identify the place value of each digit given standard and expanded forms of multi digit numbers. Students also use place value understanding to identify patterns in number sequences.

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### Semester 1 Week 3 – Estimation and Number Theory

Estimation is an important tool in math reasoning. Estimating utilizes strong place value understanding and is useful to check solutions quickly. Students who develop solid number theory are able to detect relationships among numbers, which cross many mathematical skills and serve as bases for higher skills. In these lessons, student learn to determine factors and multiples of specific numbers within 100, including common factors and common multiples numbers share.

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### Semester 1 Week 6 – Whole Number Multiplication and Division

Introduce students to different methods of multiplying and dividing multi digit numbers by one or two digit numbers. Strategies include multiplying by one place value at a time or dividing by decomposing the larger number first, as well as using the standard algorithm for multiplication or division. Students are taught to synthesize multiplication and division skills with bar modeling when solving multi step word problems.

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### Semester 1 Week 11 – Fractions

Students are taught to add and subtract like and unlike fractions, including improper fractions by converting to new fractions that share the same unit fraction. This conversion does not change the value of the original fractions, however, enables students to understand fractional parts and relationships. Students also learn to rewrite whole numbers as fractions, and to simplify improper fractions into mixed number form.

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### Semester 1 Week 12 – Fractions

In this lesson, students learn to identify equivalent fractions and form new fractions with different units that are equivalent in value to the original. It is important that they also understand how to represent whole numbers and parts of whole numbers as improper fractions and mixed numbers. Students can then solve problems, including word problems from real life contexts that contain improper fractions and mixed numbers.