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How to learn Grade 3: Mathematics

Oregon academic standards: Mathematics, Grade 3

0 of 26 concepts ready to learn · Markdown, for your AI

1. Grade 3 · Analyze, represent, and interpret data.

  1. Representing numbers with objects (age 8+): Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables

2. Grade 3 · Pose investigative questions and collect/consider data.

  1. Estimating answers (age 7+): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours

3. Grade 3 · Geometric measurement: recognize 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)

4. Grade 3 · Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

  1. Area (age 8+): Measure areas by counting unit squares (square cm, square m, square in, square ft)

5. Grade 3 · Solve problems involving measurement and estimation.

  1. 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

6. Grade 3 · 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. Angles in triangles (age 6+): Distinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size)

7. Grade 3 · Develop understanding of fractions as numbers.

  1. Unit fractions: Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
  2. Comparing fractions (age 7+): Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison
  3. Understanding fractions (age 9+): Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods
  4. Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
  5. 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
  6. Understanding fractions (age 9+): Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)
  7. 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

8. Grade 3 · Use place value understanding and properties of operations to perform multi-digit arithmetic.

  1. Multiplying by Tens: Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations
  2. Fluent adding and subtracting within 1000: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and subtraction
  3. Place Value Problem-Solving: Solve number and practical problems involving place value with increasingly large positive numbers

9. Grade 3 · Solve problems involving the four operations, and identify and explain patterns in arithmetic.

  1. Patterns in Times Tables: Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations
  2. Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity

10. Grade 3 · Multiply and divide within 100.

  1. Fluent adding and subtracting within 100: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction

11. Grade 3 · Understand properties of multiplication and the relationship between multiplication and division.

  1. Division as Unknown Factor: Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)
  2. Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide

12. Grade 3 · Represent and solve problems involving addition and subtraction.

  1. Unknown in Addition & Subtraction: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers
  2. 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)
  3. Multiplication and Division Word Problems: Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
  4. Multiplication as repeated addition: Understand multiplication as repeated addition and grouping equal sets