GRADE THREE/FOUR
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                                                                           Mathematics Document
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Across the 5 strands of mathematics, students will:
  • apply developing problem-solving strategies as they pose and solve problems and conduct investigations, to help deepen their mathematical understanding;
  • apply developing reasoning skills (e.g., pattern recognition, classification) to make and investigate conjectures (e.g., through discussion with others);
  • demonstrate that they are reflecting on and monitoring their thinking to help clarify their understanding as they complete an investigation or solve a problem (e.g., by explaining to others why they think their solution is correct);
  • select and use a variety of concrete, visual, and electronic learning tools and appropriate computational strategies to investigate mathematical ideas and to solve problems;
  • make connections among simple mathematical concepts and procedures, and relate mathematical ideas to situations drawn from everyday contexts;
  • create basic representations of simple mathematical ideas (e.g., using concrete materials; physical actions, such as hopping or clapping; pictures; numbers; diagrams; invented symbols), make connections among them, and apply them to solve problems; and
  • communicate mathematical thinking orally, visually, and in writing, using everyday language, a developing mathematical vocabulary, and a variety of representation




In Number Sense & Numeration, students will:
Grade 3
  • represent and order numbers to 1000;
  • represent money amounts to $10;
  • decompose and compose three-digit numbers;
  • investigate fractions of a set;
  • count by 1’s, 2’s, 5’s, 10’s, 25’s, and 100’s;
  • add and subtract three-digit numbers in a variety of ways; 
  • relate one-digit multiplication, and division by one-digit divisors, to real-life situations
In Measurement, students will:
Grade 3
  • measure distance using kilometres;
  • tell time to the nearest 5 minutes;
  • identify temperature benchmarks;
  • measure perimeter using standard units;
  • measure mass in kilograms and capacity in litres;
  • measure area using grid paper;
  • compare the length, mass, and capacity of objects using standard units; and
  • relate minutes to hours, hours to days, days to weeks, and weeks to years

In Geometry & Spatial Sense, students will:
Grade 3
  • use a reference tool to identify right angles and to compare angles with a right angle;
  • classify two-dimensional shapes by geometric properties (number of sides and angles);
  • classify three-dimensional figures by geometric properties (number of faces, edges, and vertices);
  • relate different types of quadrilaterals;
  • name prisms and pyramids;
  • identify congruent shapes;
  • describe movement on a grid map; and recognize transformations
In Patterning and Algebra, students will:
Grade 3
  • create and extend growing and shrinking patterns;
  • represent geometric patterns with a number sequence, a number line, and a bar graph;
  • determine the missing numbers in equations involving addition and subtraction of one- and two-digit numbers;
  • investigate the properties of zero and one in multiplication
In Data Management and Probability, students will:
Grade 3
  • organize objects into categories using two or more attributes;
  • collect and organize categorical and discrete data;
  • read and display data using vertical and horizontal bar graphs;
  • understand mode;
  • predict the frequency of an outcome;
  • relate fair games to equally likely events
 Grade 4
  • represent and order numbers to 10000;
  • represent money amounts to $100;
  • develop the concept of place value to tenths;
  • represent and compare fractions using fractional notation;
  • add and subtract three-digit numbers in a variety of ways;
  • multiply and divide two-digit whole numbers by one-digit whole numbers;
  • relate halves, fifths, and tenths to decimals


Grade 4
  • measure length using millimeters;
  • measure time intervals to the nearest minute;
  • determine elapsed time;
  • measure mass in grams and capacity in millilitres;
  • measure volume using concrete materials;
  • determine area and perimeter relationships for rectangles;
  • compare the mass and capacity of objects using standard units;
  • relate years to decades and decades to centuries





Grade 4
  • use identifying geometric properties of parallelograms;
  • classify two-dimensional shapes by geometric properties (number of sides, angles, and symmetry);
  • identify a straight angle, a right angle, and half a right angle;
  • classify prisms and pyramids by geometric properties;
  • construct three-dimensional figures in a variety of ways;
  • describe location using a grid system;
  • perform and describe reflections



Grade 4
  • relate the term and the term number in a numeric sequence;
  • generate patterns that involve addition, subtraction, multiplication, and reflections;
  • determine the missing numbers in equations involving multiplication of one- and two-digit numbers;
  • use the commutative and distributive properties to facilitate computation



Grade 4
  • collect and organize discrete data;
  • read and display data using stem-and-leaf plots and double bar graphs;
  • understand median;
  • compare two related sets of data;
  • predict the frequency of an outcome;
  • investigate how the number of repetitions of a probability experiment affects the conclusion drawn
Strategies for learning math
Our brains think about math visually
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Math Dictionary for Kids link


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addition.chart
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addition-chart-blank
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gr3multiplication
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gr4.multiplication
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multiplication-chart-0-12-blank.pdf
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divisibility-rules
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Some Math Activities:

Grade 3 games - IXL
Grade 4 games - IXL

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Exercise Your Brain!
Math Playground

Mathies
Problems - grade 4
Problems - grade 3

Number Patterns
Place Value Puzzler
 Place Value Headings

www.linktolearning.com
links to sites that support the Ontario education curriculum

Virtual Manipulatives

MathStax
multiplication facts


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Topmarks
Mathies
Math Program Masters
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