# Grade 4 Math

#### Course Features

#### Course Details

Course Overview

This Grade 4 Math course emphasizes multi-digit multiplication and division, fractions, and analysis and classification of geometric figures.
### Course Objectives & Student Learning Outcomes

Upon completion of Acellus Grade 4 Math, students will be able to: compare and order numbers; convert to roman numerals; choose a method and use the properties of addition and subtraction to add and subtract fact families and within word problems and with regrouping 3-digit and 4-digit numbers; round in the ones, thousands, and millions place; find mental sums and differences, estimations and exact answers; multiply and divide by 0 – 12 using properties of multiplication, expressions, equations, variables, order of operations, inequalities, and word problems; tell time to nearest second to include different ways to say the same time, round time, elapse time, units of time, compare units of time; and measure and find change in temperature to include reading a thermometer and negative numbers. Students will also be able to use mental math to find products with and without regrouping; multiply 2-digit, 3-digit, and 4-digit numbers by 1 digit, and zero; multiply by tens; multiply 2-digit and 3-digit numbers with 2-digit numbers; estimate products with rounding and compatible numbers; use data and frequency tables, Venn diagrams, range, mean, median, mode, line plots, double-bar graphs, pictographs, line graphs, and circle graphs; read and make bar graphs using coordinate grid; find quotients with mental division, missing numbers, rounding, compatible numbers and larger quotients; divide 2-digit and 3-digit numbers by 1-digit numbers; divide 2-digit and 3-digit and 4-digit numbers by 2-digit numbers; choose method divide with remainders and zeroes; check division with multiplication; solve word problems; add and subtract fractions, mixed numbers, including models, number lines, equivalent fractions, simplest form; compare fractions with like denominators, with like numerators, and unlike fractions; compare mixed numbers; order fractions; change mixed numbers to improper fractions and vice versa; add and subtract like fractions, mixed numbers, and unlike denominators; and multiply whole numbers by fractions with word problems Finally, students will be able to use number line to solve decimal problems; write decimals in expanded and word forms; convert decimals, fractions, and mixed numbers; order and round; estimate decimal sums and differences; add and subtract decimals; solve word problems; count money, convert money to decimal and fraction forms; mentally add tenths and hundredths with fractions and decimals; round to the nearest dollar; calculate change; solve story problems; identify and label points, lines, rays, angles, and polygons; classify polygons, triangles and quadrilaterals; identify circles, similar and congruent figures, symmetry, solid figures, faces, edges, and vertices; use customary as well as metric linear, weight, capacity, perimeter, area, and volume units, including changing and comparing them, and measuring fractional parts; predict outcomes; calculate probability as a fraction and mathematical and experimental probability; use tree diagrams; use divisibility rules for 2, 5, 10, and 25; find number patterns; and solve word problems.**Scope and Sequence**

**Unit 1 – Place Value**This unit covers place value, including the thousands period, 3-Digits, and 4-Digits, all in both their expanded and word forms. Using the word form of numbers is also included.

**Unit 2 – More Place Value and Basic Addition and Subtraction**This unit covers comparing and ordering numbers, more about the thousands and millions periods, and addition and subtraction and their fact families.

**Unit 3 – Addition**This unit covers using parentheses with addition, the commutative, identity, and associative properties of addition, using addition properties, 3- and 4-digit addition with regrouping, addition with different place values, and adding larger numbers.

**Unit 4 – Subtraction**This unit covers 3-and 4-digit subtraction with regrouping, 4-digit subtraction with zeros, finding differences across zeros, subtraction with different place values, addition and subtraction story problems, choosing whether to use addition or subtraction, and subtracting larger numbers.

**Unit 5 – Rounding**This unit discusses rounding to the nearest ten, to the nearest hundred, to the nearest thousand, and to the given place value, estimating, rounding in the thousands period, and doing rounding story problems.

**Unit 6 – Estimating Sums and Differences**This unit covers doing mental math to find sums and differences of tens, hundreds, and thousands, as well as estimating sums and differences, including rounding, thousands, and different place values.

**Unit 7 – More Estimating Sums and Differences**This unit discusses over- and underestimating, adding and subtracting compatible numbers, estimating sums and differences with compatible numbers, and choosing to work out an exact answer or an estimate.

**Unit 8 – Multiplication and Division Basic Facts**This unit covers multiplication and division, including understanding these operations, fact families, multiplying and dividing by the numbers 0 through 11, and verbal multiplication.

**Unit 9 – Mathematical Properties**This unit discusses multiplying and dividing by the number 12, multiplication and division story problems, the commutative, identity, associative, and zero properties of multiplication, using multiplication properties, expressions and equations, equations with variables, and multiplication mysteries.

**Unit 10 – Regrouping with Multiplication**This unit discusses regrouping and story problems when multiplying 2- and 3-digit numbers, along with examples of story problems.

**Unit 11 – Estimating Products**This unit covers mental multiplication, including how to multiply mentally, estimating multiplication including rounding and compatible numbers, and choosing a method.

**Unit 12 – More Regrouping with Multiplication**This unit discusses multiplying without regrouping, multiplying 2-, 3-, and 4-digit number by 1-digit numbers, multiplication arrays and models, the distributive property, choosing the operation, and multiplicative comparisons.

**Unit 13 – Unit Fractions**This unit discusses unit fractions, understanding fractions, fractions in a group, fractions on a number line, adding unit and like fractions, subtracting like fractions, breaking apart fraction amounts, and fraction story problems.

**Unit 14 – Multiplying and Equivalent Fractions**This unit covers multiplying unit fractions, whole numbers by fractions, and with a number line, as well as story problems about multiplying with fractions. Also discussed are equivalent fractions, including models, fraction strips, number lines, smaller pieces, and larger pieces.

**Unit 15 – Comparing Fractions and Mixed Numbers**This unit discusses comparison, including comparing fractions with like denominators or with like numerators, comparing fractions with number lines, and comparing a fraction to the benchmark 1/2. Also covered are common denominators, mixed number models, understanding, adding, and subtracting mixed numbers, and adding and subtracting fractions.

**Unit 16 – Data and Graphs**This unit covers data and frequency tables, line plots, line plots with fractions, making line plots, reading and making bar graphs, double-bar graphs, and pictographs.

**Unit 17 – 2-Digits by 2-Digits Multiplication**This unit discusses multiplying with zeros and by tens, multiplying 2-digits by 2-digits, and multiplication modes, arrays, and story problems.

**Unit 18 – Regrouping with Division**This unit covers dividing with remainders, dividing 2-digits with regrouping, models for dividing, sharing evenly, and story problems for dividing 2-digits and for tricky remainders.

**Unit 19 – Estimating Quotients**This unit discusses finding quotients mentally, dividing multiples of 10, 100, and 1,000, doing story problems with mental quotients, estimating quotients and compatible numbers, choosing a method for division, doing larger mental quotients and estimating larger quotients.

**Unit 20 – More Regrouping with Division**This unit covers division modes, dividing 2- and 3-digits by 1-digit, division story problems, and division comparisons.

**Unit 21 – Decimals**This unit discusses tenths, hundredths, number lines, how decimals and fractions are related, adding and subtracting decimals, and comparing decimals.

**Unit 22 – Money**This unit covers how to count money, adding thenths and hundredths mentally as fractions and as decimals, adding, subtracting, multiplying and dividing money, and money story problems.

**Unit 23 – More Complex Regrouping with Division**This unit discusses placing the first digit, dividing 3- and 4-digits by 1-digit, division trouble spots, understanding remainders, dividing with zeros, and checking division with multiplication.

**Unit 24 – Geometry**This unit covers points, lines, and rays; lines and angles; labeling points, lines, and rays; labeling, describing, understanding, measuring, classifying, using, and finding unknown angles.

**Unit 25 – More Geometry**This unit discusses parallel lines, describing lines, polygons, including classifying and identifying angles and lines in polygons, classifying triangles by angles, classifying quadrilaterals, finding lines of symmetry, and right triangles.

**Unit 26 – Length: Customary Units**This unit covers measuring and estimating length, including inches, feet, yards, miles, and the nearest half inch. Also discusses are the relationships between feet and inches, and between feet and yards.

**Unit 27 – Length: Metric Units**This unit discusses metric linear units, the relationship between centimeters and meters, kilometers, decimeters, and millimeters, measuring to the nearest half centimeter, estimating length with metric units, and adding and subtracting meters with decimals.

**Unit 28 – Capacity**This unit covers capacity, including cups, quarts, pints, and gallons, cooking with capacity, metric capacity units, milliliters and liters, and multiplying and dividing metric capacities.

**Unit 29 – Weight and Mass**This unit discusses customary weight units, including ounces and pounds, an adding and subtracting weights, and discusses metric mass units, including changing metric mass unites, and multiplying and dividing with mass. Measurement story problems are also included.

**Unit 30 – Perimeter and Area**This unit covers what perimeter and area are, the perimeter and area of squares and rectangles, and using area to find length or width. Story problems are also included.

**Unit 31 – Divisibility, Factors, and Multiples**This unit discusses divisibility rules for 2, 3, 5, and 10, factors, multiples, prime numbers, composite numbers, and story problems.

**Unit 32 – Time and Number Patterns**This unit covers units of time, telling time, hours, minutes, and seconds, telling time to the nearest minute, adding, subtracting, multiplying and dividing with time, patterns with shapes, number patterns, and multi-step story problems.

This course was developed by the International Academy of Science. Learn More