NVO Grade 4 Mathematics study plan
NVO Grade 4 Mathematics · Give each week a clear focus.
8 weeks · About 6 hours per week
Operations and Algebraic Thinking
Interpret multiplication equations as comparisons and write comparison statements for six word problems
Solve two-step word problems using all four operations and label each step with the operation chosen
Identify and explain arithmetic patterns in addition and multiplication tables
Compute factor pairs for every whole number from 1 to 30 without a calculator
Your checkpoint
A 20-problem two-step word problem set solved with written justification for each operation choice, scored at 85% or higher
Operations and Algebraic Thinking
Distinguish multiplicative comparison language (times as many) from additive comparison language (more than)
Generate and extend numeric patterns given a stated rule
Solve multistep problems involving remainders and interpret what the remainder means in context
Check solutions using inverse operations and estimate to judge reasonableness
Your checkpoint
A one-page error log of every missed problem from week 1 and week 2 practice, with the corrected reasoning written out
Number and Operations in Base Ten
Read, write, and compare multi-digit whole numbers up to one million using place value language
Round whole numbers to any place value and justify the rounding decision
Add and subtract multi-digit numbers fluently using the standard algorithm
Multiply a whole number of up to four digits by a one-digit number and explain each partial product
Your checkpoint
A 25-item place value and whole-number computation quiz completed in 30 minutes with 90% accuracy
Number and Operations in Base Ten
Multiply two two-digit numbers using area models and connect the model to the standard algorithm
Divide up to four-digit dividends by one-digit divisors with and without remainders
Interpret remainders by rounding, dropping, or reporting them according to the problem context
Verify division answers by multiplying quotient by divisor and adding the remainder
Your checkpoint
A worked area-model poster for three two-digit multiplication problems plus five division word problems with justified remainder handling
Number and Operations-Fractions
Build equivalent fractions using visual models and explain why the value does not change
Compare two fractions with different numerators and denominators using benchmark fractions and common denominators
Decompose a fraction into a sum of unit fractions in more than one way
Add and subtract fractions and mixed numbers with like denominators and simplify the result
Your checkpoint
A fraction strategy sheet showing three comparison methods applied to eight fraction pairs, each with a written justification
Number and Operations-Fractions & Measurement and Data
Multiply a fraction by a whole number and model the product on a number line
Solve word problems involving addition and subtraction of fractions referring to the same whole
Convert measurements within a single system using multiplication or division in a two-column table
Apply area and perimeter formulas to solve real-world rectangle problems
Your checkpoint
A mixed fraction and measurement problem set of 15 items with models drawn for every fraction multiplication
Measurement and Data
Create and interpret line plots with fractional data and answer questions about the data
Convert units of length, mass, and capacity within the metric and customary systems
Solve elapsed time and money word problems involving multiple steps
Calculate the area of rectilinear figures by decomposing them into rectangles
Your checkpoint
A data and measurement portfolio containing one student-made line plot, one conversion table, and five solved multi-step problems
Geometry & Operations and Algebraic Thinking & Number and Operations in Base Ten & Number and Operations-Fractions & Measurement and Data
Classify two-dimensional figures by parallel and perpendicular lines and by angle type
Identify and draw lines of symmetry in polygons
Measure and sketch angles to the nearest degree using a protractor
Complete a timed mixed-domain review covering all five domains and correct every missed item
Your checkpoint
A full-length 40-question practice test scored at 80% or higher with a corrected answer for every miss
Milestones
Week 2: Score 85% or higher on an untimed 15-question operations and algebraic thinking set, and explain two-step problem reasoning aloud or in writing
Week 4: Score 90% or higher on a 20-question base ten set covering place value, rounding, multi-digit multiplication, and division with remainders
Week 6: Score 80% or higher on a 15-question fraction set and correctly convert 10 of 12 measurement items in a two-column table
Week 8: Score 80% or higher on the 40-question mixed-domain practice test with no domain below 70%