4th grade math builds on 3rd grade with multi-digit operations and brings fractions and decimals into focus. Our program makes the tricky parts click with models, area diagrams and real-life examples.

Key Topics Covered:

Multi-digit multiplication and division, equivalent fractions, adding and subtracting fractions, decimals, measurement conversions, angles and symmetry.

Parent Tip:

4th grade fractions lean on multiplication facts. A shaky times table is the first thing we strengthen.

Recall multiplication facts through 12 x 12 with fluency

Multiply and divide multi-digit whole numbers using place value strategies

Add and subtract fractions with like denominators and write mixed numbers

Connect fractions and decimals to hundredths and compare them

Find area and perimeter of rectangles and convert measurement units

Measure angles and classify triangles and quadrilaterals

Student learning 4th grade math online with a live tutor at home in the USA

No.	Topic	What We Cover
01	Place Value to 1,000,000	Read and write whole numbers to one million and see that each place is ten times the one to its right.
02	Number Forms and Number Names	Write numbers in standard, word and expanded form, such as 45,308 as 40,000 + 5,000 + 300 + 8.
03	Comparing and Ordering Large Numbers	Compare multi-digit numbers with <, > and = and order them on a number line.
04	Rounding Multi-Digit Numbers	Round to any place and use rounding to estimate sums and differences.
05	Multi-Digit Addition	Add numbers up to 1,000,000 with the standard algorithm and check with estimation.
06	Multi-Digit Subtraction	Subtract across zeros and several places with regrouping, then check by adding.
07	Multiplicative Comparison	Read statements like '5 times as many' and write them as equations with bar models.
08	Factors and Multiples	Find all factor pairs for numbers to 100 and list multiples.
09	Prime and Composite Numbers	Sort numbers to 100 as prime or composite and explain why using factors.
10	Quarter 1 Review	Review place value, operations and factors. A mock test and parent report follow.

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Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental math and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the next session

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No.	Topic	What We Cover
11	Multiplication Facts Fluency	Lock in facts through 12 x 12 with games, patterns and strategies, so bigger problems feel easier.
12	Two-Digit by One-Digit Multiplication	Multiply with area models and partial products, then connect them to the standard algorithm.
13	Four-Digit by One-Digit Multiplication	Extend area models and the algorithm to thousands, and estimate to check reasonableness.
14	Two-Digit by Two-Digit Multiplication	Use area models and partial products to multiply two two-digit numbers.
15	Division Concepts and Remainders	Link division to multiplication and see what a remainder means in a sharing problem.
16	Dividing by One-Digit Numbers	Divide up to four-digit numbers with area models, partial quotients and the long division steps.
17	Interpreting Remainders	Decide whether to round up, round down or use the remainder, as in how many buses are needed.
18	Multi-Step Word Problems	Solve problems with more than one operation and use a letter for the unknown number.
19	Number and Shape Patterns	Generate patterns from a rule and spot features the rule does not state.
20	Quarter 2 Review	Review multiplication and division. A mock test and parent report follow.

No.	Topic	What We Cover
21	Equivalent Fractions	Use fraction models and multiplication to see why 2/3 and 8/12 name the same amount.
22	Comparing Fractions	Compare fractions with different numerators and denominators using benchmarks such as 1/2.
23	Decomposing Fractions	Break fractions into sums of unit fractions, such as 5/6 as 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
24	Adding and Subtracting Fractions	Add and subtract fractions with like denominators using models and number lines.
25	Mixed Numbers	Write mixed numbers as fractions and add and subtract them with like denominators.
26	Multiplying a Fraction by a Whole Number	Show 3 x 2/5 as repeated addition and solve real-world problems, such as recipes.
27	Tenths and Hundredths	Write fractions with denominators of 10 and 100 as decimals, such as 7/10 as 0.7.
28	Comparing Decimals	Compare decimals to hundredths and place them on number lines.
29	Decimals and Money	Connect decimals to dollars and cents and solve problems with coins, bills and prices.
30	Quarter 3 Review	Review fractions and decimals. A mock test and parent report follow.

No.	Topic	What We Cover
31	Converting Measurement Units	Convert within customary units (inches, feet, yards, ounces, pounds) and metric units (cm, m, g, kg, L, mL).
32	Time and Elapsed Time	Solve problems with hours, minutes and seconds, such as how long a road trip lasts.
33	Area and Perimeter Formulas	Use formulas to find area and perimeter of rectangles and find missing sides.
34	Line Plots With Fractions	Collect measurements to the nearest half, fourth or eighth of an inch and show them on line plots.
35	Measuring Angles	Measure and draw angles with a protractor and tell acute, right, obtuse and straight angles.
36	Finding Unknown Angles	Add and subtract angle measures to solve for a missing angle.
37	Points, Lines and Rays	Draw and name points, lines, line segments and rays, and spot parallel and perpendicular lines.
38	Classifying Triangles and Quadrilaterals	Sort shapes by side lengths and angle types, such as right triangles and parallelograms.
39	Lines of Symmetry	Find and draw lines of symmetry in letters, flags and everyday shapes.
40	Grade 4 Review and Grade 5 Readiness	Review the year's key skills, including state test question types, and preview 5th grade ideas. A mock test and parent report follow.

4th Grade Math Tutoring in the USA

By Quarter 4 of 4th Grade Math, Your Child Will...

4th Grade Math Curriculum, Quarter by Quarter

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program