How to learn Grade 3: Mathematics

Michigan academic standards: Mathematics, Grade 3

0 of 11 concepts ready to learn · Markdown, for your AI

1. Number and Operations—Fractions · Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

1. Comparing fractions: Compare and order unit fractions, and fractions with the same denominator
2. Comparing fractions (age 8+): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
3. 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
4. Equivalent fractions: Recognise and show, using diagrams, equivalent fractions with small denominators
5. 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 · Understand a fraction as a number on the number line; represent fractions on a number line diagram.

1. 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. Measurement and Data · Relate area to the operations of multiplication and addition.

1. 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
2. Understanding angles (age 8+): Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas
3. Area of compound shapes: Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas
4. 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

4. Measurement and Data · Recognize area as an attribute of plane figures and understand concepts of area measurement.

1. 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