Math

The mission of the Mathematics Department is to ensure that all students have access to high quality, engaging instruction in mathematics and computer science, in preparation for a society increasingly dominated by quantitative methods, data, and technology. We set high expectations for all students while respecting and accommodating their diverse individual needs.

CONTENT, SCOPE AND SEQUENCE

The importance of mathematics in the development of all civilizations and cultures and its relevance to students’ success regardless of career path is addressed throughout the elementary mathematics program. Emphasis is placed on the development of critical thinking and problem- solving skills, particularly through the use of everyday contexts and real-world applications.

Grade Five

A. Operations and algebraic thinking

1. Evaluating numerical expressions containing multiple operations and/or grouping symbols
2. Writing and interpreting numerical expressions
3. Creating and solving number sentences
4. Generating and analyzing numerical patterns using one or more given rules
5. Generating ordered pairs that follow a rule and graphing on a coordinate plane

B. Number and operations – base 10

1. Reading, writing and comparing decimals to thousandths
2. Rounding decimals to any place value
3. Explaining patterns that result when multiplying or dividing by powers of 10
4. Multiplying fluently multi-digit whole numbers using the standard algorithm
5. Dividing multi-digit whole numbers by two-digit divisors using strategies based on place
6. value, properties of operations and/or the relationship between multiplication and
7. division
8. Adding, subtracting, multiplying and dividing decimals to thousandths, using models and
9. strategies based on place value, properties of operations, and/or inverse relationships and explaining the reasoning used

C. Number and operations – fractions

1. Adding/subtracting fractions and mixed numbers with unlike denominators, solving
2. related word problems, and assessing the reasonableness of results
3. Multiplying fractions by fractions, whole numbers, and mixed numbers and solving
4. related word problems
5. Finding areas of rectangles with fractional side lengths
6. Interpreting multiplication as scaling
7. Dividing unit fractions by whole numbers and whole numbers by unit fractions,
8. interpreting these division situations, and solving related word problems

D. Measurement and data

1. Solving multi-step problems involving converting measurements within a system
2. Making a line plot to display measurement data in fractions of a unit and using the data to
3. solve related problems
4. Choosing the appropriate graph to display a set of data
5. Measuring volume by counting unit cubes
6. Relating volume to multiplication and addition
7. Solving real-world and mathematical problems involving volume

E. Geometry

1. Identifying the components of a coordinate plane
2. Graphing points in the first quadrant to represent and solve real-world and mathematical
3. problems
4. Recognizing properties of two-dimensional figures in a given category
5. Classifying two-dimensional figures according to their properties