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How to learn Grade 3: Mathematics

Minnesota academic standards: Mathematics, Grade 3

0 of 29 concepts ready to learn · Markdown, for your AI

1. Data Analysis · Collect, organize, display, and interpret data. Use labels and a variety of scales and units in displays.

  1. 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

2. Geometry & Measurement · Use time, money and temperature to solve real-world and mathematical problems.

  1. Measuring temperature: Use negative numbers in context (temperature, finance, sea level); calculate intervals across zero
  2. Working with money: Model real-world problems involving measurement, money, and time by choosing appropriate representations and interpreting results in context
  3. 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
  4. Telling time to the minute (age 8+): Tell and write time to the nearest minute using analogue and digital clocks

3. Geometry & Measurement · Understand perimeter as a measurable attribute of real-world and mathematical objects. Use various tools to measure distances.

  1. Measuring Perimeters: Measure the perimeter of simple 2-D shapes

4. Geometry & Measurement · Use geometric attributes to describe and create shapes in various contexts.

  1. Understanding angles: Recognise angles as a property of shape or a description of a turn
  2. Lines, Rays & Angles: Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional figures
  3. Classifying shapes by line properties: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category

5. Algebra · Use number sentences involving multiplication and division basic facts and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to

  1. Using objects to model real problems: Use objects, drawings, or simple number sentences to represent a real-world situation (early mathematical modelling)
  2. Connecting maths to real life: Represent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context

6. Algebra · Use single-operation input-output rules to represent patterns and relationships and to solve real-world and mathematical problems.

  1. Algebraic Transformations: Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations

7. Number & Operation · Understand meanings and uses of fractions in real-world and mathematical situations.

  1. 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
  2. Fractions on a number line: Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line
  3. Comparing fractions: Compare and order unit fractions, and fractions with the same denominator
  4. Fractions of a whole: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
  5. Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents

8. Number & Operation · Add and subtract multi-digit whole numbers; represent multiplication and division in various ways; solve real-world and mathematical problems using arithmetic.

  1. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
  2. Adding and subtracting mixed numbers: Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations
  3. What Multiplication Means: Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)
  4. Numbers on a number line: Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram

9. Number & Operation · Compare and represent whole numbers up to 100,000 with an emphasis on place value and equality.

  1. Ordering Numbers to 1000: Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
  2. Representing Numbers: Identify, represent, and estimate numbers using different representations including the number line
  3. Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations
  4. Comparing Large Numbers: Order and compare numbers beyond 1000
  5. Rounding to 10, 100, 1000: Round any number to the nearest 10, 100, or 1000
  6. Rounding Large Numbers: Round any whole number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000 using place-value understanding
  7. 10 or 100 More or Less: Find 10 or 100 more or less than a given number up to 1000
  8. Place Value to 1000: Solve number problems and practical problems involving place value of numbers up to 1000