How to learn Grade 3: Mathematics
Ohio academic standards: Mathematics, Grade 3
0 of 14 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.
- 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
- Fractions of a whole (age 8+): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
- 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. Measurement and Data · Relate area to the operations of multiplication and addition.
- 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
- Understanding angles (age 8+): Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas
- Area of compound shapes: Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their 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
3. Measurement and Data · Recognize area as an attribute of plane figures and understand concepts of area measurement.
- 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
4. Measurement and Data · Work with time and money.
- Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
- 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
- Numbers on a number line: Solve word problems involving elapsed time by adding and subtracting time intervals in minutes, including using a number line
- Telling time to the minute: Measure and begin to record time in hours, minutes, and seconds