Mrs. McLeod
Grade 5 & 6
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
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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
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read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines
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compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts
Fractions, Decimals, and Percents
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read, represent, compare, and order decimal numbers up to thousandths, in various contexts
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round decimal numbers, both terminating and repeating, to the nearest tenth, hundredth, or whole number, as applicable, in various contexts
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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:
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identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and specify which growing patterns are linear
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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
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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
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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
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describe the difference between discrete and continuous data, and provide examples of each
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collect qualitative data and discrete and continuous quantitative data to answer questions of interest about a population, and organize the sets of data as appropriate, including using intervals
Data Visualization
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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
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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
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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
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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
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create lists of the geometric properties of various types of quadrilaterals, including the properties of the diagonals, rotational symmetry, and line symmetry
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construct three-dimensional objects when given their top, front, and side views
Angles
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use a protractor to measure and construct angles up to 360°, and state the relationship between angles that are measured clockwise and those that are measured counterclockwise
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use the properties of supplementary angles, complementary angles, opposite angles, and interior and exterior angles to solve for unknown angle measures
Location and Movement
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plot and read coordinates in all four quadrants of a Cartesian plane, and describe the translations that move a point from one coordinate to another
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describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results of these transformations
UNIT 5-Money & Finances
Overall Expectations: Demonstrate the knowledge and skills needed to make informed financial decisions.
Specific Expectations:
Money Concepts
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describe the advantages and disadvantages of various methods of payment that can be used to purchase goods and services
Financial Management
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identify different types of financial goals, including earning and saving goals, and outline some key steps in achieving them
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identify and describe various factors that may help or interfere with reaching financial goals
Consumer and Civic Awareness
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explain the concept of interest rates, and identify types of interest rates and fees associated with different accounts and loans offered by various banks and other financial institutions
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describe trading, lending, borrowing, and donating as different ways to distribute financial and other resources among individuals and organizations
UNIT 6-Operations
Overall Expectations: Use knowledge of numbers and operations to solve mathematical problems encountered in everyday life.
Specific Expectations:
Properties and Relationships
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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
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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
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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
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represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms
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add and subtract fractions with like and unlike denominators, using appropriate tools, in various contexts
Multiplication and Division
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represent composite numbers as a product of their prime factors, including through the use of factor trees
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represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths, using algorithms
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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
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multiply whole numbers by proper fractions, using appropriate tools and strategies
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divide whole numbers by proper fractions, using appropriate tools and strategies
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represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies
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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
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add monomials with a degree of 1 that involve whole numbers, using tools
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evaluate algebraic expressions that involve whole numbers and decimal tenths
Equalities and Inequalities
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solve equations that involve multiple terms and whole numbers in various contexts, and verify solutions
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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
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solve problems and create computational representations of mathematical situations by writing and executing efficient code, including code that involves conditional statements and other control structures
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read and alter existing code, including code that involves conditional statements and other control structures, and describe how changes to the code affect the outcomes and the efficiency of the code
UNIT 9-Measurement
Overall Expectations: Compare, estimate, and determine measurements in various contexts.
Specific Expectations:
The Metric System
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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
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determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas
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create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas
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determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together
UNIT 10-Probability
Overall Expectations: Describe the likelihood that events will happen, and use that information to make predictions.
Specific Expectations:
Probability
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use fractions, decimals, and percents to express the probability of events happening, represent this probability on a probability line, and use it to make predictions and informed decisions
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determine and compare the theoretical and experimental probabilities of two independent events happening
Knowledge & Understanding
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Knows facts, terms, procedural skills, use of tools
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Understands mathematical concepts
Thinking
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Makes a plan for solving the problem and carries out plan
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Looks back at the solution to evaluate for reasonableness
Communication
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Organization of ideas and mathematical thinking (e.g., neatness, logical organization)
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Use of conventions, vocabulary, and terminology of the unit (e.g., terms, symbols)
Application
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Applies knowledge and skills in familiar contexts
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Transfers knowledge and skills to new contexts
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Makes connections within and between various units in mathematics; connections involving use of prior knowledge and experience