Grade 5 Mathematics
Course/Grade Level Description
In the fifth grade, emphasis within the number area shifts to understanding of the addition and subtraction of fractions, with continued consolidation of multiplication and division concepts and skills with whole numbers. The idea of remainders in whole number division is addressed. Students learn the meaning of a fraction as the result of a division problem, and learn to work with decimals and percentages. In geometry and measurement, there is emphasis on the meaning and measurement of angles and on solving problems involving areas and angles. Work in number using exponents and factors begins to lead to algebraic ideas that will be more visible in grade six.
KPS Mathematics Expectations
(From Strategic Planning Expectations)
All fifth grade students will be able to…
- Understand division and multiplication of whole numbers and is able to calculate fluently.
- Find the prime factorization of whole numbers less than 50 expressed in exponential notation.
- Understand the relationship between fractions, decimal fractions and percentages; use fractions to describe division statements.
- Perform basic computations with fractions, unit fractions, and whole numbers using models and strategies.
- Write, interpret, and use ratios; find equivalent ratios.
- Know and convert among measurement units (length, area, volume, weight, and time) within a given system.
- Find areas of geometric shapes using formulas and partitioning.
- Understand the concept of volume.
- Know the different types and characteristics of angles including how to measure them with a protractor.
- Construct and interpret line graphs.
- Find and interpret mean and mode for a given set of data.
Michigan Focal Points
The following table outlines the Michigan Focal Points for fifth grade. The language in each Michigan Focal Point correlates in many cases to the National Council of Teachers of Mathematics (NCTM) standards. The first column lists each Michigan Focal Point and the second column specifies grade-level topics linked to the corresponding Focal Point. These are the topics from which the core expectations (2nd – 7th grade) were selected.
Topics and Focal Points
1. Developing an understanding of and fluency with division of whole numbers.
- Understand division of whole numbers
- Multiply and divide whole numbers
- Find prime factorizations of whole numbers
- Multiply and divide by powers of ten
- Know, and convert among, measurement units within a given system
- Find and interpret mean and mode for a given set of data
2. Developing an understanding of and fluency with addition and subtraction of fractions and decimals.
- Add and subtract fractions using common denominators
- Solve applied problems with fractions
3. Analyzing properties of two-dimensional shapes, including angles.
- Find areas of geometric shapes using formulas
- Know the meaning of angles, and solve problems
- Solve problems about geometric shapes
Michigan Content Expectations
A Parent's Guide to Grade Level Mathematics Expectations
Links to Math Games and Math Practice Exercises
"Equations" tutorial and practice lessons.
Learn how to do sums in your head with this "Mental Maths" game.
Play "Grid Games" for factors, multiples, powers, and prime math practices.
"Mesurements" and math practice for converting volume units.
Measuring "Size and Weight" in this math game.
Different "Angles" have different names.
Test your knowledge of "Angles" in this math game.
What is it? "Cooridinating Graphs."
Bar, line, area, pie, and cooridante "Create a Graph."
|Grade 5 Pacing Guide.pdf||107.19 KB|
|Grade 5 Math Curriculum Guide.pdf||1.41 MB|