Grade 4 math
Lessons commonly taught in grade 4, each with worked examples, practice problems, and complete solutions. Topics often span more than one grade, so you may see a lesson listed under a neighbouring grade too.
12 lessons · 29 standards
decimals
- Comparing and Ordering Decimals
How to compare decimals by working left to right one place at a time, why a longer decimal is not automatically bigger, and how to put a list in order.
- Decimal Place Value: Reading and Writing Decimals
What each place after the decimal point is worth, how to read a decimal aloud, and how to write one in expanded form or as a fraction.
fractions
- Adding Fractions With Unlike Denominators
How to add fractions with different bottom numbers: find a common denominator, rewrite both fractions, add the top numbers, then simplify. With mixed numbers too.
- Comparing Fractions: Which One Is Bigger?
Four ways to compare fractions: same bottom number, same top number, a common denominator, and cross multiplying. With bar models and worked examples.
- Equivalent Fractions: Same Amount, Different Numbers
What equivalent fractions are, how to find them by multiplying or dividing top and bottom by the same number, and how to check two fractions are equal.
- Fractions on a Number Line: Plotting and Reading Them
How to place a fraction on a number line by splitting each whole into equal parts, how to read one off, and why the number line makes fractions easier to order.
- Mixed Numbers and Improper Fractions: Converting Both Ways
How to change an improper fraction into a mixed number by dividing, how to change it back by multiplying, and when each form is the useful one.
- Multiplying Fractions: Top Times Top, Bottom Times Bottom
How to multiply fractions and mixed numbers, why the rule works using an area model, why the product can be smaller than what you started with, and how to cancel first.
- Simplifying Fractions: Reducing to Lowest Terms
How to simplify a fraction by dividing top and bottom by a common factor, how to use the GCF to do it in one step, and how to know when you are done.
- Subtracting Fractions: Like and Unlike Denominators
How to subtract fractions with the same or different bottom numbers, and how to borrow when the fraction you are taking away is bigger than the one you have.
Geometry
- Area of a Rectangle: Length Times Width
Why the area of a rectangle is length times width, how to find a missing side, why area uses square units, and how to handle L-shaped figures.
- Perimeter: The Distance Around a Shape
What perimeter means, how to find it for any shape by adding the sides, the rectangle shortcut, and how to work backwards from a known perimeter.
Standards covered
- CCSS.MATH.CONTENT.3.MD.C.7
- CCSS.MATH.CONTENT.3.MD.C.7a
- CCSS.MATH.CONTENT.3.MD.C.7d
- CCSS.MATH.CONTENT.3.MD.D.8
- CCSS.MATH.CONTENT.3.NF.A.2
- CCSS.MATH.CONTENT.3.NF.A.2a
- CCSS.MATH.CONTENT.3.NF.A.2b
- CCSS.MATH.CONTENT.3.NF.A.3a
- CCSS.MATH.CONTENT.3.NF.A.3b
- CCSS.MATH.CONTENT.3.NF.A.3d
- CCSS.MATH.CONTENT.4.MD.A.3
- CCSS.MATH.CONTENT.4.NF.A.1
- CCSS.MATH.CONTENT.4.NF.A.2
- CCSS.MATH.CONTENT.4.NF.B.3
- CCSS.MATH.CONTENT.4.NF.B.3a
- CCSS.MATH.CONTENT.4.NF.B.3b
- CCSS.MATH.CONTENT.4.NF.B.3c
- CCSS.MATH.CONTENT.4.NF.B.4
- CCSS.MATH.CONTENT.4.NF.C.7
- CCSS.MATH.CONTENT.5.NBT.A.1
- CCSS.MATH.CONTENT.5.NBT.A.3
- CCSS.MATH.CONTENT.5.NBT.A.3a
- CCSS.MATH.CONTENT.5.NBT.A.3b
- CCSS.MATH.CONTENT.5.NF.A.1
- CCSS.MATH.CONTENT.5.NF.A.2
- CCSS.MATH.CONTENT.5.NF.B.4a
- CCSS.MATH.CONTENT.5.NF.B.5a
- CCSS.MATH.CONTENT.5.NF.B.6
- CCSS.MATH.CONTENT.6.NS.B.4