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## Grade 5 Semester 1

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### Semester 1 Week 1 – Numbers to 10,000,000

In this lesson, students use place value understanding to determine size of numbers. Foundational skills are built upon as they work with larger numbers and extend on their understanding of number patterns and rounding digits with higher place value. Students also work on accurate written representation of larger numbers.

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### Semester 1 Week 3 – Whole Number Multiplication and Division

Students are taught to multiply and divide four digit numbers by two digit numbers, in problems including extended factors of tens, hundreds, and thousands. They will learn accessible strategies for multiplication and division of basic multi digit numbers, such as decomposing numbers and multiplying or dividing in parts, as demonstrated through area models, as well as the standard algorithms for efficient problem solving.

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### Semester 1 Week 7 – Fractions and Mixed Numbers

Add or subtract unlike or unrelated fractions by first converting to equivalent fractions while holding its original values. Fractions can also be regrouped when subtracting is required for mixed numbers. In this video, teachers are encouraged to follow a specific sequence of skill instruction that includes a form of bar model to demonstrate the relationship between unlike or unrelated fractions. Pictorial representations can be useful as reinforcements to demonstrate the concept.

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### Semester 1 Week 8 – Fractions and Mixed Numbers

Fractions and mixed numbers share the same language as their decimal equivalents. Teach students the concept of fractions and decimals as parts of a whole, and mixed numbers as whole numbers and parts combined. Students should also be taught to use mathematical language when identifying fractions, mixed numbers, and decimals. They will see that the language is identical, and this can help them understand how fractions and decimals are different ways to represent the same values.

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### Semester 1 Week 10 – Multiplying and Dividing Fractions and Mixed Numbers

Teach students to multiply or divide fractions in a specific progression of skills, using visual models, hands on activities, and real life contexts. Students will learn to simplify fractions, connect them to a visual model, and multiply or divide whole numbers with improper fractions or mixed numbers. Answers should always be reasonable, and students will apply mathematical understanding to these fractional concepts. They will understand that a fraction is a division expression and that multiplying by a fraction results in a smaller number.

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### Semester 1 Week 14 – Area of a Triangle

In this lesson, students learn how to find the area of a triangle based on identification of the base and height of different types of triangles. Students should use pictorial representations to practice determining a triangle’s base and height, and thereafter, the area. They can then solve word problems based on the dimensions of a given triangle in space.