How to learn Grade 3: Mathematics
Wyoming academic standards: Mathematics, Grade 3
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1. Number And Operations - Fractions · May be able to explain equivalence of fractions in special cases, and compare fractions by reasoning about their size with partial success when given a pictorial re
- Comparing fractions (age 8+): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
- Equivalent fractions: Recognise and show, using diagrams, equivalent fractions with small denominators
- Equivalent fractions on a number line: Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams
2. Number And Operations - Fractions · Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size when given a pictorial representation.
- 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
- Comparing fractions: Compare and order unit fractions, and fractions with the same denominator
3. Number And Operations - Fractions · May be able to represent fractions on a number line diagram when given a number line pre-partitioned into equal parts from 0 to 1 with partial success.
- 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
- Fractions on a number line (age 8+): Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b
4. Measurement And Data · May be able to measure area by tiling with unit squares.
- 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
5. Measurement And Data · Relate area to the operations of multiplication and addition.
- Understanding angles (age 8+): Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas
- Area and the distributive property: Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property
6. Operations And Algebraic Thinking · Solve two-step word problems (limited to the whole number system) using the four basic operations. Students should apply the Order of Operations when there are no p
- Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity