How to learn Grade 3: Mathematics

Oklahoma academic standards: Mathematics, Grade 3

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1. Data & Probability · Collect, organize, and analyze data.

Picture & Bar Graphs: Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph
Pictograms and tally charts (age 6+): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data

Telling time to the minute (age 7+): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation
Telling time to the minute (age 8+): Tell and write time to the nearest minute using analogue and digital clocks
Numbers on a number line: Solve word problems involving elapsed time by adding and subtracting time intervals in minutes, including using a number line

Measuring length (age 7+): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres
Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
Understanding Area: Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps
Area (age 8+): Measure areas by counting unit squares (square cm, square m, square in, square ft)
Counting Unit Cubes: Measure volumes by counting unit cubes using cubic cm, cubic in, cubic ft, and other units
Area by Tiling: Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths
Measuring Perimeters: Measure the perimeter of simple 2-D shapes
Perimeters of polygons: Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa)

Types of angles: Identify acute and obtuse angles; compare and order angles up to two right angles by size
Understanding angles: Recognise angles as a property of shape or a description of a turn
Edges, vertices, and faces: Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
Sorting 2-D and 3-D shapes: Compare and sort common 2-D and 3-D shapes and everyday objects by their properties

Connecting Representations: Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)

Extending Table Patterns: Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences
Shape patterns: Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur

Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately

Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
Fractions on a number line: Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows
Modelling with multiplication and fractions: Model real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical results in context
Fraction Notation: Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole

Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
Multiplication and Division Word Problems: Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
Multi-Step Multiply & Divide: Solve problems involving multiplication and division, including scaling problems and correspondence problems where n objects are connected to m objects
Two-step addition and subtraction problems: Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
Estimating by rounding: Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning
Fluent multiplication and division facts: Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division

Place Value Problem-Solving: Solve number and practical problems involving place value with increasingly large positive numbers
Place Value to 1000: Solve number problems and practical problems involving place value of numbers up to 1000
Representing Numbers: Identify, represent, and estimate numbers using different representations including the number line
Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations
Comparing Large Numbers: Order and compare numbers beyond 1000
10 or 100 More or Less: Find 10 or 100 more or less than a given number up to 1000
Reading and writing numbers (age 9+): Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding