Math Ladder · Elementary · Grade 4

Grade 4

Multi-digit multiplication and long division, equivalent fractions, adding fractions, decimals to hundredths and angles.

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46 topics in 9 units. Builds on Grade 3. Leads to Grade 5. Not sure this is the right course? Find your rung.

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Unit 1 Place Value and Big Numbers

5 topics

Read, compare and round numbers to a million, and add and subtract them with the standard algorithm.

  1. Each Place Is Ten Times the Next
  2. Reading and Writing Large Numbers
  3. Comparing Large Numbers
  4. Rounding to Any Place
  5. The Standard Algorithm for Adding and Subtracting

Unit 2 Multi-Digit Multiplication

6 topics

Compare with "times as many" and multiply larger numbers with area models and partial products.

  1. Times as Many
  2. Comparison Word Problems
  3. Multiplying by 10, 100 and 1,000
  4. Multiplying with an Area Model
  5. Multiplying by a One-Digit Number
  6. Multiplying Two Two-Digit Numbers

Unit 3 Division with Remainders

6 topics

Divide up to four-digit numbers by one-digit numbers and decide what a remainder means.

  1. Division with Remainders
  2. Dividing Tens and Hundreds
  3. Dividing with Partial Quotients
  4. Long Division by a One-Digit Number
  5. What to Do with a Remainder
  6. Multistep Word Problems

Unit 4 Factors, Multiples and Patterns

4 topics

Find factor pairs and multiples, sort primes from composites, and follow rules.

  1. Factor Pairs
  2. Multiples
  3. Prime and Composite Numbers
  4. Patterns from a Rule

Unit 5 Equivalent Fractions

4 topics

Make equivalent fractions and compare fractions with different denominators.

  1. Equivalent Fractions by Multiplying
  2. Simplest Form
  3. Comparing with 1/2 and 1
  4. Comparing Any Two Fractions

Unit 6 Adding Fractions and Mixed Numbers

6 topics

Add and subtract fractions with like denominators and multiply a fraction by a whole number.

  1. Breaking Fractions into Sums
  2. Adding and Subtracting Like Fractions
  3. Mixed Numbers and Fractions Greater Than 1
  4. Adding and Subtracting Mixed Numbers
  5. Fraction Word Problems
  6. Multiplying a Fraction by a Whole Number

Unit 7 Decimals

3 topics

Write tenths and hundredths as decimals and compare them.

  1. Tenths and Hundredths
  2. Writing Decimals
  3. Comparing Decimals

Unit 8 Measurement and Conversions

4 topics

Convert units, solve measurement problems, and use area and perimeter formulas.

  1. Converting Larger Units to Smaller
  2. Measurement Word Problems
  3. Area and Perimeter Formulas
  4. Line Plots with Fractions

Unit 9 Lines, Angles and Shapes

8 topics

Draw and name lines and angles, measure angles, and sort shapes.

  1. Points, Lines, Segments and Rays
  2. What an Angle Measures
  3. Acute, Right and Obtuse Angles
  4. Measuring Angles with a Protractor
  5. Adding Angles
  6. Parallel and Perpendicular Lines
  7. Sorting Shapes by Sides and Angles
  8. Lines of Symmetry
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