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Math

Students are assessed on the following Achievement Chart.

 

 

 

 

 

 

 

 

 

 

 

The difference between a quiz and a test?

A quiz will assess general knowledge and understanding of concepts taught, whereas a test will assess how the student uses his/her knowledge and understanding to think about a problem, apply it to solve a problem and communicate the solution effectively.

Therefore, tests involve all four of the elements in the achievement chart and are more significant for evaluation purposes. Along with tests and quizzes, students will also be asked to complete performance tasks in school.

You can access the NEW MATH CURRICULUM here:

https://www.dcp.edu.gov.on.ca/en/curriculum#elementary

Overview of Units

 

 

UNIT 1-Number Sense

Overall Expectations: Demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life.

 
Specific Expectations:

 

Rational Numbers
  • read and represent whole numbers up to and including one million, using appropriate tools and strategies, and describe various ways they are used in everyday life
  • read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines
  • compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts

Fractions, Decimals, and Percents

  • read, represent, compare, and order decimal numbers up to thousandths, in various contexts

  • round decimal numbers, both terminating and repeating, to the nearest tenth, hundredth, or whole number, as applicable, in various contexts

  • describe relationships and show equivalences among fractions and decimal numbers up to the thousandths, using appropriate tools and drawings, in various contexts

UNIT 2-Patterns & Relationships

Overall Expectations: Identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts.
Specific Expectations:

 

  • identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and specify which growing patterns are linear
  • create and translate repeating, growing, and shrinking patterns using various representations, including tables of values, graphs, and, for linear growing patterns, algebraic expressions and equations

  • determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns, and use algebraic representations of the pattern rules to solve for unknown values in linear growing patterns

  • create and describe patterns to illustrate relationships among whole numbers and decimal numbers

 
UNIT 3-Data Literacy
Overall Expectations: Manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life.
 

Specific Expectations:

 

Data Collection and Organization

 

Data Visualization

  • select from among a variety of graphs, including histograms and broken-line graphs, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs

  • create an infographic about a data set, representing the data in appropriate ways, including in tables, histograms, and broken-line graphs, and incorporating any other relevant information that helps to tell a story about the data

 

Data Analysis

  • determine the range as a measure of spread and the measures of central tendency for various data sets, and use this information to compare two or more data sets

  • analyse different sets of data presented in various ways, including in histograms and broken-line graphs and in misleading graphs, by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions

 

UNIT 4-Geometric & Spatial Reasoning

 

Overall Expectations: Describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them.

 

Specific Expectations:

Geometric Reasoning

Angles

 

Location and Movement

UNIT 5-Money & Finances

Overall Expectations: Demonstrate the knowledge and skills needed to make informed financial decisions.

 

Specific Expectations:

 

Money Concepts

 

Financial Management

  • identify different types of financial goals, including earning and saving goals, and outline some key steps in achieving them

  • identify and describe various factors that may help or interfere with reaching financial goals

 

Consumer and Civic Awareness

 

UNIT 6-Operations

Overall Expectations: Use knowledge of numbers and operations to solve mathematical problems encountered in everyday life.

 

Specific Expectations:

Properties and Relationships

  • use the properties of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and whole number percents, including those requiring multiple steps or multiple operations

 

Math Facts

  • understand the divisibility rules and use them to determine whether numbers are divisible by 2, 3, 4, 5, 6, 8, 9, and 10

 

Mental Math

  • use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%, and explain the strategies used

 

Addition and Subtraction

  • represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms

  •  add and subtract fractions with like and unlike denominators, using appropriate tools, in various contexts

Multiplication and Division

  • represent composite numbers as a product of their prime factors, including through the use of factor trees

  • represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths, using algorithms

  • represent and solve problems involving the division of three-digit whole numbers by decimal tenths, using appropriate tools, strategies, and algorithms, and expressing remainders as appropriate

  • multiply whole numbers by proper fractions, using appropriate tools and strategies

  • divide whole numbers by proper fractions, using appropriate tools and strategies

  • represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies

  • solve problems involving ratios, including percents and rates, using appropriate tools and strategies

 

UNIT 7-Equations & Inequalities

Overall Expectations: Demonstrate an understanding of variables, expressions, equalities and inequalities, and apply this understanding in various contexts.

Specific Expectations:

 

Variables and Expressions

  • add monomials with a degree of 1 that involve whole numbers, using tools

  • evaluate algebraic expressions that involve whole numbers and decimal tenths

 

Equalities and Inequalities

  • solve equations that involve multiple terms and whole numbers in various contexts, and verify solutions

  • solve inequalities that involve two operations and whole numbers up to 100, and verify and graph the solutions

 

UNIT 8-Coding

Overall Expectations: Solve problems and create computational representations of mathematical situations using coding concepts and skills.

Specific Expectations:

Coding Skills

 

UNIT 9-Measurement


Overall Expectations: Compare, estimate, and determine measurements in various contexts.

Specific Expectations:

The Metric System

  • measure length, area, mass, and capacity using the appropriate metric units, and solve problems that require converting smaller units to larger ones and vice versa

 

Area and Surface Area

 

UNIT 10-Probability

Overall Expectations: Describe the likelihood that events will happen, and use that information to make predictions.

Specific Expectations:

Probability

Knowledge & Understanding

  • Knows facts, terms, procedural skills, use of tools 

  • Understands mathematical concepts

Thinking

  • Makes a plan for solving the problem and carries out plan 

  • Looks back at the solution to evaluate for reasonableness

Communication

  • Organization of ideas and mathematical thinking (e.g., neatness, logical organization)

  • Use of conventions, vocabulary, and terminology of the unit (e.g., terms, symbols)

Application

  • Applies knowledge and skills in familiar contexts 

  • Transfers knowledge and skills to new contexts 

  • Makes connections within and between various units in mathematics; connections involving use of prior knowledge and experience

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