Class Discussion: Why do we learn about fractions, decimals, and problem solving?
to solve everyday problems
to know how much fabric you will need to make a pillow
to know how much it will cost for that fabric
to know how how many days it will take you to make pillows for all your friends
to know how to box up left over pizza
to evenly share the remaining half of a cake
to know if you have enough cookies for everyone in your class, including the teacher
Unit 05: Fractions and Problem Solving
Key Vocabulary
reciprocal - The reciprocal of a number is 1 divided by the number
simplify - To reduce a fraction to lowest terms
simplest form - the numerator and denominator have no other common factors other than 1.
benchmark - common numbers and fractions that we judge against. (example: 0, 1/2, 1 )
compatible numbers - numbers that are easy to add, subtract, multiply, and divide.
estimation - a rough calculation of something.
front-end estimation - keep the front number and replace the rest of the numbers with zeros.
rounding - make a number easier to add, subtract, multiply, and divide, but keeping it close to what it was. (see rounding rules.)
terminating decimal - decimals that end
repeating decimal - decimals that repeat forever
Students will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to:
6.5 a) multiply and divide fractions and mixed numbers;* b) solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers; and c) solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.
7.2 solve practical problems involving operations with rational numbers. *On the state assessment, items measuring this objective are assessed without the use of a calculator.