How to learn Grade 3: Mathematics

Colorado academic standards: Mathematics, Grade 3

0 of 13 concepts ready to learn · Markdown, for your AI

1. Data, Statistics, and Probability · Use concepts of area and 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 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

2. Data, Statistics, and Probability · 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

3. Number and Quantity · Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

1. Comparing fractions (age 8+): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
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. Understanding fractions: Write simple fractions (e.g. 1/2 of 6 = 3) and recognise the equivalence of 2/4 and 1/2
4. Equivalent fractions: Recognise and show, using diagrams, equivalent fractions with small denominators
5. Comparing fractions (age 7+): Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison
6. 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
7. Equivalent fractions (age 8+): Generate simple equivalent fractions and explain why they are equivalent using visual fraction models

4. Number and Quantity · Describe 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
2. 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