TVO Learn 7 & 8 Number

If this parking lot is 85% full, then what fraction is empty?

A large parking lot with rows of cars and green trees viewed from above.



OVERALL EXPECTATION

B1. demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life

Grade 7 Specific expectations
B1.1 represent and compare whole numbers up to and including one billion, including in expanded form using powers of ten, and describe various ways they are used in everyday life

B1.2 identify and represent perfect squares, and determine their square roots, in various contexts

B1.3 read, represent, compare, and order rational numbers, including positive and negative fractions and decimal numbers to thousandths, in various contexts

B1.4 use equivalent fractions to simplify fractions, when appropriate, in various contexts 

B1.5 generate fractions and decimal numbers between any two quantities

B1.6  round decimal numbers to the nearest tenth, hundredth, or whole number, as applicable, in various contexts

B1.7 convert between fractions, decimal numbers, and percents, in various contexts
Grade 8 Specific expectations
B1.1 represent and compare very large and very small numbers, including through the use of scientific notation, and describe various ways they are used in everyday life

B1.2 describe, compare, and order numbers in the real number system (rational and irrational numbers), separately and in combination, in various contexts

B1.3 estimate and calculate square roots, in various contexts

B1.4 use fractionsdecimal numbers, and percents, including percents of more than 100% or less than 1%, interchangeably and flexibly to solve a variety of problems

OVERALL EXPECTATION

B2. use knowledge of numbers and operations to solve mathematical problems encountered in everyday life

Grade 7 Specific expectations
D2.1 describe the difference between independent and dependent events, and explain how their probabilities differ, providing examples

D2.2 determine and compare the theoretical and experimental probabilities of two independent events happening and of two dependent events happening
Grade 8 Specific expectations
B2.1 use the properties and order of operations, and the relationships between operations, to solve problems involving rational numbersratiosrates, and percents, including those requiring multiple steps or multiple operations

B2.2 understand and recall commonly used square numbers and their square roots

B2.3 use mental math strategies to multiply and divide whole numbers and decimal numbers up to thousandths by powers of ten, and explain the strategies used

B2.4 add and subtract integers, using appropriate strategies, in various contexts

B2.5 add and subtract fractions, using appropriate strategies, in various contexts

B2.6 multiply and divide fractions by fractions, as well as by whole numbers and mixed numbers, in various contexts

B2.7 multiply and divide integers, using appropriate strategies, in various contexts

B2.8 compare proportional situations and determine unknown values in proportional situations, and apply proportional reasoning to solve problems in various contexts

Grade 7

Comparing & Rounding Decimal Numbers Up to Hundredths: Sports and Decimals

Join Teacher Kristina as she demonstrates how to compare decimals using place value, order decimals on a number line, and round decimals to the nearest tenth, hundredth, and whole number.  Learn more about decimals by relating sports to numbers.
This video activity highlights expectations D1.3, D1.4, D 1.5 and D1.6. For additional learning activities for grade 7 number sense, please explore the TVO Learn activities listed below.

Grade 8

Rational and Irrational Numbers

Join Teacher Olivia and identify how to describe, compare, and order rational, and irrational numbers.

This video activity highlights expectations B1.2.  For additional learning activities for grade 8  number sense, please explore the TVO Learn activities below.