Explore place value from ones up to ten thousands by counting and grouping digits to form tens, hundreds, thousands, and ten thousands, building numbers toward one hundred thousand.

Master the place value of digits in ones, tens, hundreds, thousands, and ten-thousands, and learn to read numbers like 23,456 by each column.

Students compare numbers by starting from the leftmost digit, moving through place values until a difference appears, then determine greater or smaller and order values from smallest to largest.

Learn to round numbers to the nearest ten and hundred using the rule: five or more rounds up; less than five rounds down. Apply the method to hundreds and beyond.

Identify factors by listing numbers that multiply to a target, such as six's factors 1, 2, 3, and 6, then determine the highest common factor of two numbers.

Study multiples as number tables, find the first six multiples of three (3,6,9,12,15,18), and identify the lowest common multiple by listing common multiples of 4 and 12 (24).

Explore how to multiply one-digit and two-digit numbers using place value, carrying, and proper alignment with step-by-step examples like 234×3, 321×12, and 473×28.

Master long division with inside and outside numbers, bringing down digits to find quotients and remainders in problems like 1050 by 5 and a nineteen hundred dollars word problem.

This lecture teaches adding fractions by aligning denominators, creating a common denominator when needed, then adding numerators and simplifying to simplest form, with examples like 2/6 + 3/6.

Subtract fractions by keeping equal denominators and subtracting numerators, or create a common denominator through multiplication, then simplify the result to simplest form.

Explore whole numbers and fractions, including proper, mixed, and improper fractions, and convert mixed numbers to improper fractions by multiplying the whole part by the denominator and adding the numerator.

Teach grade 4 students how to convert improper fractions to mixed numbers and vice versa using long division, showing steps with numerator, denominator, quotient, and remainder.

Convert mixed numbers to improper fractions, find a common denominator, and add or subtract the numerators, then convert back to mixed numbers using long division.

Learn to make fractions by counting colored stars, identify numerators over totals, and simplify fractions in practical contexts such as hours in a day and days in a week.

Multiply whole numbers by fractions, convert fractions to whole-number form when needed, and use long division to reveal quotients, remainders, zeros, and the numerators and denominators.

Explore how to read and fill simple tables with quantities for apples, oranges, and pears. Compare amounts, and interpret a fish tally and colored pencils data.

Learn to construct and read line graphs with colored pencils data, plotting dots on a grid and interpreting values by year from 2000 to 2004.

Draw perpendicular lines using a set square to create 90-degree right angles, whether horizontal or sloped, and verify perpendicularity by ensuring lines meet at right angles.

Learn to draw parallel lines using a set square and ruler, and identify which line pairs never meet by extending lines and observing whether they cross.

Explore symmetry by drawing a line that splits shapes into two identical halves with the same size and shape. Use rectangles, arrows, and a heart, and folding to test symmetry.

Explore decimals by converting fractions such as tenths, hundredths, and thousandths into decimals, place value on the number line, and translating mixed numbers to decimals.

Convert fractions to decimals by rewriting with a denominator of 10, 100, or 1000 and moving the decimal point; for example, 5/10 equals 0.5.

Convert decimals to fractions by placing the decimal digits in the numerator and counting decimal places for the denominator. Examples include 0.4 = 4/10 and 0.27 = 37/100.

Learn to compare decimals with greater than and less than signs by examining numbers like 0.4 and 0.7, and determine which is larger.

Learn to add decimals by copying the decimal point, aligning decimals, and performing digit-by-digit addition, using examples like 0.3 plus 0.6.

Align the decimal point, copy the decimal, borrow from whole numbers, and perform subtraction of decimals, showing that decimal subtraction follows the same rules as regular numbers.

Learn how to multiply decimals by whole numbers, using 0.3 times 6 as an example, by copying the decimal point, computing partial products, and adding for the final answer.

Learn to divide decimals by whole numbers using decimal point placement and long division steps, with examples like 3.4 ÷ 6 and 7.2 ÷ 8.