NB Grade 5 Math study plan

Read and write whole numbers to 1,000,000 in standard, expanded, and word form, and convert fluently among all three.

Compare and order whole numbers up to 1,000,000 using <, >, and = symbols, and justify each ordering with place-value reasoning.

Identify the place value of any digit in a 6-digit number and explain how a digit's value changes when it shifts one place left or right.

Round whole numbers to the nearest ten, hundred, thousand, and ten-thousand, and check each result against the original number.

Add and subtract whole numbers up to 1,000,000 using the standard algorithm, and verify each answer with an inverse operation.

Multiply a 2-digit number by a 2-digit number and a 3-digit number by a 1-digit number using an area model, then connect the model to the written algorithm.

Divide a 3-digit number by a 1-digit number with and without remainders, and interpret what the remainder means in a word problem.

Estimate products and quotients before computing, and judge whether the exact answer is reasonable.

Build equivalent fractions and reduce fractions to simplest form using common factors.

Compare and order fractions and mixed numbers with unlike denominators by finding common denominators or benchmarks.

Convert between improper fractions and mixed numbers in both directions.

Solve 2-step word problems involving fractions and whole numbers, and write a number sentence for each before solving.

Read, write, and compare decimals to the thousandths place, and convert between decimals and fractions with denominators of 10, 100, and 1000.

Add and subtract decimals to the thousandths, aligning place values correctly.

Measure and record lengths to the nearest millimetre and convert among millimetres, centimetres, and metres.

Solve measurement word problems that require converting units before computing.

Extend a numeric or shape pattern and state the rule in words.

Write a simple algebraic expression (such as 3n + 2) that generates a given pattern and use it to predict a far-away term.

Complete a function table from a one-step or two-step rule and identify the relationship between input and output.

Solve one-step equations with an unknown (for example, n + 7 = 15 or 4n = 32) and check the solution by substitution.

Classify triangles, quadrilaterals, and other polygons by sides, angles, and parallel or perpendicular lines.

Measure and draw angles to the nearest degree with a protractor, and classify angles as acute, right, obtuse, or straight.

Compute the perimeter and area of rectangles and squares and of composite shapes built from rectangles.

Estimate and then measure the volume of rectangular prisms by counting unit cubes and by applying length x width x height.

Read and interpret bar graphs, line graphs, and pictographs, and answer comparison and difference questions from each.

Construct a labeled bar graph and a line plot from raw data, including titles, axis labels, and a consistent scale.

Compute the mean, median, mode, and range of a small data set and explain what each measure tells you.

Describe the likelihood of simple events using the terms impossible, unlikely, likely, and certain, and express simple probability as a fraction.

Apply a four-step problem-solving process (understand, plan, solve, check) to ten mixed problems spanning all domains.

Identify and use the relevant information in a multi-step problem while ignoring distractors.

Explain your reasoning in writing for at least five problems, showing why each step is needed.

Complete a full-length practice test under timed conditions and review every incorrect item.