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How to learn Grade 3: Mathematics

Missouri academic standards: Mathematics, Grade 3

0 of 21 concepts ready to learn · Markdown, for your AI

1. Geometry and Measurement · Understand concepts of perimeter.

  1. 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)
  2. Perimeter (age 10+): Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically

2. Geometry and Measurement · Understand concepts of area.

  1. Area of compound shapes: Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas

3. Geometry and Measurement · Solve problems involving the measurement of time, liquid volumes and weights of objects.

  1. Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
  2. Measuring Liquids & Masses: Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume

4. Geometry and Measurement · Reason with shapes and their attributes.

  1. Fractions as parts of shapes: Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole
  2. Understanding angles (age 8+): Understand that shapes in different categories may share attributes defining a larger category; classify quadrilaterals (rhombuses, rectangles, squares) and draw examples of quadrilaterals not in those subcategories
  3. Classifying shapes by properties: Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties

5. Number Sense and Operations in Fractions · Develop understanding of fractions as numbers.

  1. Fraction Addition Concepts: Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way
  2. 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
  3. 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
  4. Comparing fractions (age 8+): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
  5. Equivalent fractions: Recognise and show, using diagrams, equivalent fractions with small denominators
  6. Equivalent fractions (age 9+): Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths

6. Relationships and Algebraic Thinking · Identify and explain arithmetic patterns.

  1. Patterns in Times Tables: Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations

7. Relationships and Algebraic Thinking · Use the four operations to solve word problems.

  1. Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity

8. Relationships and Algebraic Thinking · Multiply and divide within 100.

  1. Fluent multiplication and division facts: Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division
  2. Multiplication and Division Word Problems: Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
  3. Multiplying and dividing: Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000

9. Relationships and Algebraic Thinking · Represent and solve problems involving multiplication and division.

  1. What Division Means: Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)
  2. What Multiplication Means: Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)