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.