**Grade Five – Math**

YMOH mathematics program aims to incorporate unrivaled inquiry–based philosophy to breed independent learners who are not only problem solvers, but confident risk–takers. We understand that educational excellence is only pulled off when content is sequenced, applicable to students’ interests and needs, and applied to solving real problems.

We also know that the study of mathematics plays a vital role in the promotion of universal language, along with problem solving and reasoning skills that contribute to the growth of abstract, logical, and critical thinking. These factors form the basis of the engaging and rigorous mathematics program offered at YMOH. This program equips fifth grade students with knowledge, understanding, and such skills as problem solving, reasoning and proving, and prepares them to be life–long learners and responsible global citizens who are well–equipped for the challenges and opportunities of the Centuries to come.

Areas of study include;

**Number and
Operation:** This focuses on number representation and order of up to
100,000; money representation of up to $1000; developing the concept of place
value to hundredths; comparing and ordering fractional amounts with
denominators; adding and subtracting decimal amounts to hundredths; multiplying
two–digit whole numbers by two–digit whole numbers; dividing three–digit whole
numbers by one–digit whole numbers; relating simple fractions to decimals.

**Measurement:** This
equips students with the abilities to measure time intervals to the nearest
second; measure temperature; and determine elapsed time. They can also learn
how to convert from meters to centimeters and from kilometers to meters; relate
the 12–hour clock to the 24–hour clock; develop and apply area and perimeter
relationships for a rectangle; relate capacity and volume; develop and apply
the volume relationship for a right rectangular prism.

**Geometry and Spatial
Sense:** Students will be able to distinguish between polygons and prisms between
2D and 3D shapes identify angles such as acute, right, obtuse, and
straight angles; measure angles to 90° with a protractor; construct triangles,
nets of prisms and pyramids; locate objects using the cardinal
directions; perform and describe translations.

**Data
Analysis:** Students will be able to read, construct and interpret frequency
tables, circle graphs and line graphs. Select and use a graph that is
appropriate for the type of data to be displayed. Read and interpret
increasingly complex displays of data, such as double bar graphs.

**Probability:** This
teaches how to list and explain all possible outcomes in any given situation.
Students will be able to identify the probability of events within a simple
experiment, such as three chances out of eight. Use 0, 1 and ratio between 0
and 1 to represent the probability of outcomes for an event and associate the
ratio with the likelihood of the outcome, compare what should happen
(theoretical/expected results) with what did happened (experimental/actual
results) in a simple experiment. Make predictions based on experimental and
theoretical probabilities, and determine and use the range, mean, median and
mode and explain what each does and does not indicate about the set of data.

**Algebra:** This treats
the use of parentheses, brackets, or braces in numerical expressions, and how
to evaluate expressions with these symbols. Students will be able to write
simple expressions that record calculations with numbers, and interpret
numerical expressions without evaluating them. They will also learn to generate
two numerical patterns using two given rules, identify apparent relationships
between corresponding terms, and form ordered pairs consisting of corresponding
terms from the two patterns, and graph the ordered pairs on a coordinate plane.